Publications

This page lists publications and miscellaneous work of all members of the MathCoRe Research Training Group. They all include an Acknowledgement of funding by the Deutsche Forschungsgemeinschaft. Recommended is the following phrase:

*Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 314838170, GRK 2297 MathCoRe.*

You can use the search mask to filter the content. The (sometimes buggy) search mask allows the usage of regular expressions:

- e.g., to search for entries between 2018 and 2019, type: 201[8-9]
- e.g., for all reftypes that are articles or books, type: article|book
- e.g., for all publications authored by Zeile and Weber (in that order), type: zeile.*weber
- e.g., for all articles authored by Sager, type: sager.*article*

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2023

misc

Twisted conjugacy in soluble arithmetic groups

@misc{Santos2023conjugacy, author = {Lins de Araujo, P. M. and Santos Rego, Y.}, title = {Twisted conjugacy in soluble arithmetic groups}, year = {2023} }

2023

article

The galaxy of Coxeter groups

to appear in Journal of Algebra

@article{Santos2023galaxy, author = {Santos Rego, Y. and Schwer, P.}, title = {The galaxy of Coxeter groups}, journal = {to appear in Journal of Algebra}, year = {2023}, url = {http://arxiv.org/abs/2211.17038} }

2023

misc

The Sigma invariants for the golden mean Thompson group

@misc{Santos2023sigma, author = {Molyneux, L. and Nucinkis, B. and Santos Rego, Y.}, title = {The Sigma invariants for the golden mean Thompson group}, year = {2023} }

2023

article

Thompson-like groups, Reidemeister numbers, and fixed points

Geometriae Dedicata

@article{Santos2023thompson, author = {Lins de Araujo, P. M. and Oliveira-Tosti, A. S. and Santos Rego, Y.}, title = {Thompson-like groups, Reidemeister numbers, and fixed points}, journal = {Geometriae Dedicata}, year = {2023}, doi = {10.1007/s10711-023-00790-2} }

2023

misc

Variations of the depth based Liu-Singh two-sample test including functional spaces

@misc{gnettner2023variations, author = {Gnettner, Felix and Kirch, Claudia and Nieto-Reyes, Alicia}, title = {Variations of the depth based Liu-Singh two-sample test including functional spaces}, year = {2023} }

2023

misc

Scan statistics for the detection of anomalies in M-dependent random fields with applications to image data

@misc{kirch2023scanstatistics, author = {Kirch, Claudia and Klein, Philipp and Meyer, Marco}, title = {Scan statistics for the detection of anomalies in M-dependent random fields with applications to image data}, year = {2023} }

2022

article

Asymptotic delay times of sequential tests based on U-statistics for early and late change points

Journal of Statistical Planning and Inference

@article{kirch2020asymptotic, author = {Kirch, Claudia and St{\"o}hr, Christina}, title = {Asymptotic delay times of sequential tests based on U-statistics for early and late change points}, journal = {Journal of Statistical Planning and Inference}, year = {2022}, doi = {10.1016/j.jspi.2022.04.001} }

2022

article

Bootstrap confidence intervals for multiple change points based on moving sum procedures

Computational Statistics and Data Analysis

@article{kirch2022bootstrap, author = {Cho, H. and Kirch, C.}, title = {Bootstrap confidence intervals for multiple change points based on moving sum procedures}, journal = {Computational Statistics and Data Analysis}, year = {2022}, doi = {10.1016/j.csda.2022.107552} }

2022

article

Data Segmentation for Time Series Based on a General Moving Sum Approach

Annals of the Institute of Statistical Mathematics

@article{kirch2022segmentation, author = {Kirch, Claudia and Reckruehm, Kerstin}, title = {Data Segmentation for Time Series Based on a General Moving Sum Approach}, journal = {Annals of the Institute of Statistical Mathematics}, year = {2022} }

2021

article

The lattice of cycles of an undirected graph

Linear Algebra and its Applications

@article{AVERKOV2021213, author = {Averkov, G. and Chavez, A. and {De Loera}, J.A. and Gillespie, B.}, title = {The lattice of cycles of an undirected graph}, journal = {Linear Algebra and its Applications}, year = {2021}, volume = {611}, pages = {213 - 236}, doi = {10.1016/j.laa.2020.10.027} }

2021

article

Gaussoids are two-antecedental approximations of Gaussian conditional independence structures

Ann. Math. Artif. Intell.

@article{BoegeGaussant, author = {Boege, Tobias}, title = {Gaussoids are two-antecedental approximations of Gaussian conditional independence structures}, journal = {Ann. Math. Artif. Intell.}, year = {2021}, doi = {10.1007/s10472-021-09780-0} }

2021

misc

Incidence geometry in the projective plane via almost-principal minors of symmetric matrices

@misc{BoegeGaussruler, author = {Boege, Tobias}, title = {Incidence geometry in the projective plane via almost-principal minors of symmetric matrices}, year = {2021} }

2021

misc

Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models

Le Matematiche

@misc{BoegeQ47, author = {Boege, Tobias and Coons, Jane Ivy and Eur, Christopher and Maraj, Aida and R{\"o}ttger, Frank}, title = {Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models}, journal = {Le Matematiche}, year = {2021}, volume = {76}, number = {2}, pages = {383-398}, doi = {10.4418/2021.76.2.6} }

2021

article

D-optimal designs for Poisson regression with synergetic interaction effect

TEST

@article{FGRS2020, author = {Freise, Fritjof and Graßhoff, Ulrike and R{\"o}ttger, Frank and Schwabe, Rainer}, title = {{D}-optimal designs for {P}oisson regression with synergetic interaction effect}, journal = {TEST}, year = {2021}, doi = {10.1007/s11749-020-00752-w} }

2021

article

On the Impact of Fluid Structure Interaction in Blood Flow Simulations

Vietnam Journal of Mathematics

@article{FailerMinakowskiRichter2020, author = {Failer, L. and Minakowski, P. and Richter, T.}, title = {On the Impact of Fluid Structure Interaction in Blood Flow Simulations}, journal = {Vietnam Journal of Mathematics}, year = {2021}, volume = {49}, number = {1}, pages = {169-187}, doi = {10.1007/s10013-020-00456-6} }

2021

article

The semi-algebraic geometry of optimal designs for the Bradley–Terry model

to appear in Algebraic Statistics

@article{KRS2019, author = {{Kahle}, T. and R{\"o}ttger, F. and {Schwabe}, R.}, title = {{The semi-algebraic geometry of optimal designs for the Bradley--Terry model}}, journal = {to appear in Algebraic Statistics}, year = {2021} }

2021

article

Moving sum data segmentation for stochastic processes based on invariance

Statistica Sinica

@article{KirchKlein, author = {Kirch, Claudia and Klein, Philipp}, title = {Moving sum data segmentation for stochastic processes based on invariance}, journal = {Statistica Sinica}, year = {2021}, doi = {10.5705/ss.202021.0048} }

2021

article

`ngsxfem`: Add-on to NGSolve for geometrically unfitted finite element discretizations

J. Open Source Softw.

@article{LHPvW21, author = {Lehrenfeld, C. and Heimann, F. and {Preu\ss}, J. and von Wahl, H.}, title = {`ngsxfem`: Add-on to NGSolve for geometrically unfitted finite element discretizations}, journal = {J. Open Source Softw.}, publisher = {The Open Journal}, year = {2021}, volume = {6}, number = {64}, pages = {3237}, doi = {10.21105/joss.03237} }

2021

article

Error estimation and adaptivity for differential equations with multiple scales in time

Computational Methods in Applied Mathematics

@article{LautschRichter2021, author = {Lautsch, L. and Richter, T.}, title = {Error estimation and adaptivity for differential equations with multiple scales in time}, journal = {Computational Methods in Applied Mathematics}, year = {2021}, note = {Accepted 03/03/2021}, url = {http://arxiv.org/abs/2006.05420} }

2021

article

Parallel time-stepping for fluid-structure interactions

Mathematical Modelling of Natural Phenomena

@article{MargenbergRichter2021, author = {Margenberg, N. and Richter, T.}, title = {Parallel time-stepping for fluid-structure interactions}, journal = {Mathematical Modelling of Natural Phenomena}, year = {2021}, note = {Accepted 11/01/2021}, url = {http://arxiv.org/abs/1907.01252}, doi = {10.1051/mmnp/2021005} }

2021

misc

Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids

@misc{Mehlmannetal2021, author = {Mehlmann, C. and Danilov, S. and Losch, M. and Lemieux, J.F. and Hutter, N. and Richter, T. and Blain, P. and Hunke, E.C. and Korn, P}, title = {Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids}, year = {2021} }

2021

article

A finite element / neural network framework for modeling suspensions of non-spherical particles. Concepts and medical applications

Vietnam Journal of Mathematics

@article{MinakowskaRichterSager2021, author = {Minakowska, M. and Richter, T. and Sager, S.}, title = {A finite element / neural network framework for modeling suspensions of non-spherical particles. Concepts and medical applications}, journal = {Vietnam Journal of Mathematics}, year = {2021}, volume = {49}, number = {1}, pages = {207-235}, doi = {10.1007/s10013-021-00477-9} }

2021

article

An averaging scheme for the efficient approximation of time-periodic flow problems

Computers and Fluids

@article{Richter2020, author = {Richter, T.}, title = {An averaging scheme for the efficient approximation of time-periodic flow problems}, journal = {Computers and Fluids}, year = {2021}, volume = {214}, doi = {10.1016/j.compfluid.2020.104769} }

2021

article

Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation

BIT Numerical Mathematics

@article{SoszynskaRichter2021, author = {Soszynska, M. and Richter, T.}, title = {Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation}, journal = {BIT Numerical Mathematics}, year = {2021}, doi = {10.1007/s10543-021-00854-3} }

2021

article

Complexity of linear relaxations in integer programming

Mathematical Programming

@article{averkov2021complexity, author = {Averkov, Gennadiy and Schymura, Matthias}, title = {Complexity of linear relaxations in integer programming}, journal = {Mathematical Programming}, publisher = {Springer}, year = {2021}, pages = {1--37}, doi = {10.1007/s10107-021-01623-4} }

2021

article

Sparse representation of vectors in lattices and semigroups

Mathematical Programming

@article{averkov2021sparsity, author = {Aliev, Iskander and Averkov, Gennadiy and De Loera, Jes{\'u}s A. and Oertel, Timm}, title = {Sparse representation of vectors in lattices and semigroups}, journal = {Mathematical Programming}, publisher = {Springer}, year = {2021}, note = {accepted} }

2021

inproceedings

Computational Aspects of Relaxation Complexity

Integer Programming and Combinatorial Optimization

@inproceedings{averkov:hojny:schymura, author = {Averkov, Gennadiy and Hojny, Christopher and Schymura, Matthias}, title = {Computational Aspects of Relaxation Complexity}, booktitle = {Integer Programming and Combinatorial Optimization}, publisher = {Springer International Publishing}, year = {2021}, address = {Cham}, note = {accepted} }

2021

incollection

Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1–Philosophy, Features and Application for (Parametric) Model Order Reduction

Model Reduction of Complex Dynamical Systems

@incollection{benner2021matrix, author = {Benner, Peter and K{\"o}hler, Martin and Saak, Jens}, title = {Matrix Equations, Sparse Solvers: {M-M.E.S.S.-2.0.1}--Philosophy, Features and Application for (Parametric) Model Order Reduction}, booktitle = {Model Reduction of Complex Dynamical Systems}, publisher = {Springer, Cham}, year = {2021}, editor = {Benner, P. and Breiten, T. and Faßbender, H. and Hinze, M. and Stykel, T. and Zimmermann, R.}, note = {To appear} }

2021

incollection

An Adaptive Sampling Approach for the Reduced Basis Method

Realization and Model Reduction of Dynamical Systems –– A Festschrift in Honor of the 70th Birthday of Thanos Antoulas

@incollection{chellappa2019adaptive, author = {Chellappa, Sridhar and Feng, Lihong and Benner, Peter}, title = {An Adaptive Sampling Approach for the Reduced Basis Method}, booktitle = {Realization and Model Reduction of Dynamical Systems --– A Festschrift in Honor of the 70th Birthday of Thanos Antoulas}, publisher = {Springer, Cham}, year = {2021}, editor = {Beattie, C. and Benner, P. and Embree, M. and Gugercin, S. and Lefteriu, S.}, note = {To appear} }

2021

inbook

Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain

Model Reduction of Complex Dynamical Systems

@inbook{chellappa2021adaptive, author = {Chellappa, Sridhar and Feng, Lihong and de la Rubia, Valent{\'i}n and Benner, Peter}, title = {Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain}, booktitle = {Model Reduction of Complex Dynamical Systems}, publisher = {Springer, Cham}, year = {2021}, editor = {Benner, P. and Breiten, T. and Faßbender, H. and Hinze, M. and Stykel, T. and Zimmermann, R.}, note = {To appear} }

2021

article

Bandits with many optimal arms

@article{deheide2021bandits, author = {de Heide, Rianne and Cheshire, James and Ménard, Pierre and Carpentier, Alexandra}, title = {Bandits with many optimal arms}, year = {2021} }

2021

misc

Empty simplices of large width

@misc{doolittle2021simplices, author = {Doolittle, Joseph and Katthän, Lukas and Nill, Benjamin and Santos, Francisco}, title = {Empty simplices of large width}, year = {2021} }

2021

article

Global projections of the soil microbiome in the Anthropocene

Global Ecology and Biogeography

@article{duarte20211, author = {Guerra, Carlos A. and Delgado-Baquerizo, Manuel and Duarte, Eliana and Marigliano, Orlando and Görgen, Christiane and Maestre, Fernando T. and Eisenhauer, Nico}, title = {Global projections of the soil microbiome in the Anthropocene}, journal = {Global Ecology and Biogeography}, year = {2021}, volume = {30}, number = {5}, pages = {987-999}, doi = {10.1111/geb.13273} }

2021

misc

Representation Context-Specific Causal Models with Observational and Interventional Data

@misc{duarte2021representation, author = {Duarte, Eliana and Solus, Liam}, title = {Representation Context-Specific Causal Models with Observational and Interventional Data}, year = {2021} }

2021

article

The adaptive Wynn-algorithm in generalized linear models with univariate response

Ann. Statist.

@article{freise2019adaptive, author = {Freise, Fritjof and Gaffke, Norbert and Schwabe, Rainer}, title = {The adaptive Wynn-algorithm in generalized linear models with univariate response}, journal = {Ann. Statist.}, year = {2021}, volume = {49}, pages = {702-722}, doi = {10.1214/20-AOS1974} }

2021

article

Convergence of least squares estimators in the adaptive Wynn algorithm for a class of nonlinear regression models

Metrika

@article{freise2019convergence, author = {Freise, Fritjof and Gaffke, Norbert and Schwabe, Rainer}, title = {Convergence of least squares estimators in the adaptive Wynn algorithm for a class of nonlinear regression models}, journal = {Metrika}, year = {2021}, note = {Accepted} }

2021

article

Optimal design for probit choice models with dependent utilities

Statistics

@article{grasshoff2020probit, author = {Gra{\ss}hoff, Ulrike and Gro{\ss}mann, Heiko and Holling, Heinz and Schwabe, Rainer}, title = {Optimal design for probit choice models with dependent utilities}, journal = {Statistics}, year = {2021}, volume = {55}, pages = {173-194}, doi = {10.1080/02331888.2021.1888292} }

2021

article

Analytic solutions for locally optimal designs for gamma models having linear predictors without intercept

Metrika

@article{idais2019analytic, author = {Idais, Osama and Schwabe, Rainer}, title = {Analytic solutions for locally optimal designs for gamma models having linear predictors without intercept}, journal = {Metrika}, year = {2021}, volume = {84}, pages = {1-26}, doi = {10.1007/s00184-019-00760-3} }

2021

article

Binomial edge ideals of cographs

to appear in Revista de la Unión Matemática Argentina

@article{kahle2019binomial, author = {Kahle, Thomas and Kr{\"u}semann, Jonas}, title = {Binomial edge ideals of cographs}, journal = {to appear in Revista de la Uni\'{o}n Matem\'{a}tica Argentina}, year = {2021} }

2021

article

Sequential change point tests based on U-statistics

Scandinavian Journal of Statistics

@article{kirch2019sequential, author = {Kirch, Claudia and St{\"o}hr, Christina}, title = {Sequential change point tests based on U-statistics}, journal = {Scandinavian Journal of Statistics}, year = {2021}, doi = {10.1111/sjos.12558} }

2021

article

Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems

Journal of the Franklin Institute

@article{morAsiABetal21, author = {Asif, M. M. A. and Ahmad, M. I. and Benner, P. and Feng, L. and Stykel, T.}, title = {Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems }, journal = {Journal of the Franklin Institute}, year = {2021}, volume = {358}, number = {3}, pages = {2015--2038}, doi = {10.1016/j.jfranklin.2020.11.012} }

2021

article

Interpolation-Based Model Order Reduction for Polynomial Systems

SIAM J. Sci. Comp

@article{morBenG21, author = {Benner, P. and Goyal, P.}, title = {Interpolation-Based Model Order Reduction for Polynomial Systems}, journal = {SIAM J. Sci. Comp}, year = {2021}, volume = {43}, number = {1}, pages = {A84--A108}, doi = {10.1137/19M1259171} }

2021

article

Structure-Preserving Interpolation of Bilinear Control Systems

Adv. Comp. Math.

@article{morBenGW21, author = {Benner, P. and Gugercin, S. and Werner, S. W. R.}, title = {Structure-Preserving Interpolation of Bilinear Control Systems}, journal = {Adv. Comp. Math.}, year = {2021}, note = {Accepted 25/02/2021} }

2021

misc

Robust output-feedback stabilization for incompressible flows using low-dimensional $\mathcalH_ınfty$-controllers

@misc{morBenHW21, author = {Benner, P. and Heiland, J. and Werner, S. W. R.}, title = {Robust output-feedback stabilization for incompressible flows using low-dimensional {$\mathcal{H}_{\infty}$}-controllers}, year = {2021}, note = {math.OC} }

2021

misc

SOMDDPA – Second-Order Modally-Damped Dominant
Pole Algorithm (Version 2.0)

@misc{morBenW21, author = {Benner, P. and Werner, S. W. R.}, title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally-{D}amped {D}ominant {P}ole {A}lgorithm (Version 2.0)}, year = {2021}, doi = {10.5281/zenodo.3997649} }

2021

misc

SOLBT – Limited Balanced Truncation for Large-Scale Sparse
Second-Order Systems (Version 3.0)

@misc{morBenW21a, author = {Benner, P. and Werner, S. W. R.}, title = {{SOLBT} -- {L}imited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 3.0)}, year = {2021}, doi = {10.5281/zenodo.4600763} }

2021

article

On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems

ESAIM: Math. Model. Numer. Anal.

@article{morFenB21, author = {Feng, L. and Benner, P.}, title = {On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems}, journal = {ESAIM: Math. Model. Numer. Anal.}, year = {2021}, volume = {55}, number = {2}, pages = {561--594}, doi = {10.1051/m2an/2021001} }

2021

inproceedings

Reduced-order modeling of block-oriented nonlinear systems from data

24th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Cambridge, UK, August 23–27

@inproceedings{morGosKA21, author = {Gosea, I. V. and Karachalios, D. and Antoulas, A. C.}, title = {Reduced-order modeling of block-oriented nonlinear systems from data}, booktitle = {24th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Cambridge, UK, August 23--27}, year = {2021}, note = {extended abstract, accepted for publication} }

2021

incollection

Data-Driven Identification of Rayleigh-Damped Second-Order Systems

Realization and Model Reduction of Dynamical Systems-A Festschrift in Honor of the 70th Birthday of Thanos Antoulas

@incollection{morPonGB2020, author = {{Pontes Duff}, I. and Goyal, P. and Benner, P.}, title = {Data-Driven Identification of Rayleigh-Damped Second-Order Systems}, booktitle = {Realization and Model Reduction of Dynamical Systems-A Festschrift in Honor of the 70th Birthday of Thanos Antoulas}, publisher = {Springer Cham}, year = {2021} }

2021

misc

Experimental designs for accelerated degradation tests based on linear mixed effects models

@misc{shat2021lmem, author = {Shat, Helmi and Schwabe, Rainer}, title = {Experimental designs for accelerated degradation tests based on linear mixed effects models}, year = {2021} }

2021

article

Using a deep neural network to predict the motion of under-resolved triangular rigid bodies in an incompressible flow

Internat. J. Numer. Methods Fluids

@article{vWR21, author = {von Wahl, H. and Richter, T.}, title = {Using a deep neural network to predict the motion of under-resolved triangular rigid bodies in an incompressible flow}, journal = {Internat. J. Numer. Methods Fluids}, publisher = {Wiley}, year = {2021}, doi = {10.1002/fld.5037} }

2021

article

Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data

Phys. Fluids

@article{vWRFH21, author = {von Wahl, H. and Richter, T. and Frei, S. and Hagemeier, T.}, title = {Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data}, journal = {Phys. Fluids}, year = {2021}, volume = {33}, number = {3}, doi = {10.1063/5.0037971} }

2021

article

An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains

IMA J. Numer. Anal.

@article{vWRL20, author = {von Wahl, H. and Richter, T. and Lehrenfeld, C.}, title = {An unfitted {Eulerian} finite element method for the time-dependent {Stokes} problem on moving domains}, journal = {IMA J. Numer. Anal.}, year = {2021}, doi = {10.1093/imanum/drab044} }

2020

article

Local optimality of Zaks-Perles-Wills simplices

Advances in Applied Mathematics

@article{2020local, author = {Averkov, Gennadiy}, title = {Local optimality of {Z}aks-{P}erles-{W}ills simplices}, journal = {Advances in Applied Mathematics}, publisher = {Elsevier}, year = {2020}, volume = {112}, pages = {101943} }

2020

article

Inequalities between mixed volumes of convex bodies: volume bounds for the Minkowski sum

Mathematika

@article{ABS20, author = {Averkov, Gennadiy and Borger, Christopher and Soprunov, Ivan}, title = {{I}nequalities between mixed volumes of convex bodies: volume bounds for the {M}inkowski sum}, journal = {Mathematika}, year = {2020}, volume = {66}, number = {4}, pages = {1003-1027}, url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/mtk.12055}, doi = {10.1112/mtk.12055} }

2020

article

Classification of Triples of Lattice Polytopes with a Given Mixed Volume

Discrete & Computational Geometry

@article{Averkov2020, author = {Averkov, Gennadiy and Borger, Christopher and Soprunov, Ivan}, title = {Classification of Triples of Lattice Polytopes with a Given Mixed Volume}, journal = {Discrete {\&} Computational Geometry}, year = {2020}, doi = {10.1007/s00454-020-00246-4} }

2020

article

Families of lattice polytopes of mixed degree one

J. Combin. Theory Ser. A

@article{BB19, author = {Balletti, Gabriele and Borger, Christopher}, title = {Families of lattice polytopes of mixed degree one}, journal = {J. Combin. Theory Ser. A}, year = {2020}, volume = {173}, pages = {105229}, doi = {10.1016/j.jcta.2020.105229} }

2020

article

On defectivity of families of full-dimensional point
configurations

Proc. Amer. Math. Soc. Ser. B

@article{BN18, author = {Borger, Christopher and Nill, Benjamin}, title = {On defectivity of families of full-dimensional point configurations}, journal = {Proc. Amer. Math. Soc. Ser. B}, year = {2020}, volume = {7}, pages = {43--51}, doi = {10.1090/bproc/46} }

2020

inproceedings

Model Predictive Control of Mixed Traffic at Intersections using Learning and Classification of Human Driving Behavior

Proceedings of IFAC World Congress

@inproceedings{Bethge2019a, author = {Bethge, Johanna and Morabito, Bruno and Rewald, Hannes and Ahsan, Adil and Sorgatz, Stephan and Findeisen, Rolf}, title = {Model Predictive Control of Mixed Traffic at Intersections using Learning and Classification of Human Driving Behavior}, booktitle = {Proceedings of IFAC World Congress}, year = {2020}, pages = {14557--14563} }

2020

inproceedings

Model predictive control with guarantees for discrete linear stochastic systems subject to additive disturbances with chance constraints

2020 American Control Conference (ACC)

@inproceedings{Bethge2019b, author = {Bethge, Johanna and Yu, Shuyou and Findeisen, Rolf}, title = {Model predictive control with guarantees for discrete linear stochastic systems subject to additive disturbances with chance constraints}, booktitle = {2020 American Control Conference (ACC)}, year = {2020}, pages = {1943--1948}, doi = {10.23919/ACC45564.2020.9147803} }

2020

incollection

Mathematical Optimization and Machine Learning for Efficient Urban Traffic

Mathematical Success Stories

@incollection{Bethge2020, author = {Bethge, Johanna and Findeisen, Rolf and Le, Do Duc and Merkert, Maximilian and Rewald, Hannes and Sager, Sebastian and Savchenko, Anton and Sorgatz, Stephan}, title = {Mathematical Optimization and Machine Learning for Efficient Urban Traffic}, booktitle = {Mathematical Success Stories}, publisher = {Springer}, year = {2020}, note = {accepted} }

2020

article

Construction Methods for Gaussoids

Kybernetika

@article{BoegeKahleConstructionMethods, author = {Boege, Tobias and Kahle, Thomas}, title = {Construction Methods for {G}aussoids}, journal = {Kybernetika}, year = {2020}, volume = {56}, number = {6}, pages = {1045-1062}, doi = {10.14736/kyb-2020-6-1045} }

2020

inproceedings

pycombina: An Open-Source Tool for Solving Combinatorial Approximation Problems arising in Mixed-Integer Optimal Control

Proceedings of the IFAC World Congress

@inproceedings{Buerger2020, author = {B\"urger, A. and Zeile, C. and Hahn, M. and Altmann-Dieses, A. and Sager, S. and Diehl, M.}, title = {pycombina: An Open-Source Tool for Solving Combinatorial Approximation Problems arising in Mixed-Integer Optimal Control}, booktitle = {Proceedings of the IFAC World Congress}, year = {2020} }

2020

article

The Clique Problem with Multiple-Choice Constraints under a Cycle-Free Dependency Graph

Discrete Applied Mathematics

@article{CPMCF, author = {Bärmann, Andreas and Gemander, Patrick and Merkert, Maximilian}, title = {The Clique Problem with Multiple-Choice Constraints under a Cycle-Free Dependency Graph}, journal = {Discrete Applied Mathematics}, year = {2020}, volume = {283}, pages = {59-77}, doi = {10.1016/j.dam.2019.12.015} }

2020

article

Gröbner bases for staged trees

Algebraic Statistics

@article{DA, author = {Ananiadi, Lamprini and Duarte, Eliana}, title = {Gr{\"o}bner bases for staged trees}, journal = {Algebraic Statistics}, year = {2020}, note = {Accepted} }

2020

article

Equations defining probability tree models

Journal of Symbolic Computation

@article{DG, author = {Duarte, Eliana and G{\"o}rgen, Christiane}, title = {Equations defining probability tree models}, journal = {Journal of Symbolic Computation}, publisher = {Elsevier}, year = {2020}, volume = {99}, pages = {127 - 146}, doi = {10.1016/j.jsc.2019.04.001} }

2020

article

Discrete Statistical Models with Rational Maximum Likelihood Estimator

Bernoulli

@article{DMS, author = {Duarte, Eliana and Marigliano, Orlando and Sturmfels, Bernd}, title = {Discrete Statistical Models with Rational Maximum Likelihood Estimator}, journal = {Bernoulli}, year = {2020}, note = {In press} }

2020

misc

Non-asymptotic control of the cumulative distribution function of Lévy processes

@misc{DMbis, author = {Duval, C{\'e}line and Mariucci, Ester}, title = {Non-asymptotic control of the cumulative distribution function of {L}{\'e}vy processes}, year = {2020} }

2020

article

Algebraic geometry of discrete interventional models

arXiv preprint arXiv:2012.03593

@article{DS, author = {Duarte, Eliana and Solus, Liam}, title = {Algebraic geometry of discrete interventional models}, journal = {arXiv preprint arXiv:2012.03593}, year = {2020} }

2020

article

Implicitization of tensor product surfaces via virtual projective resolutions

Mathematics of Computation

@article{DSeceleanu, author = {Duarte, Eliana and Seceleanu, Alexandra}, title = {Implicitization of tensor product surfaces via virtual projective resolutions}, journal = {Mathematics of Computation}, year = {2020}, note = {in press}, doi = {10.1090/mcom/3548} }

2020

article

A parallel Newton multigrid framework for monolithic fluid-structure interactions

Journal of Scientific Computing

@article{FailerRichter2019, author = {Failer, L. and Richter, T.}, title = {A parallel Newton multigrid framework for monolithic fluid-structure interactions}, journal = {Journal of Scientific Computing}, year = {2020}, volume = {82}, number = {2}, url = {https://www.springerprofessional.de/a-parallel-newton-multigrid-framework-for-monolithic-fluid-struc/17588660}, doi = {10.1007/s10915-019-01113-y} }

2020

article

A Newton multigrid framework for optimal control of fluid-structure interactions

Optimization and Engineering

@article{FailerRichter2019opt, author = {Failer, L. and Richter, T.}, title = {A Newton multigrid framework for optimal control of fluid-structure interactions}, journal = {Optimization and Engineering}, year = {2020}, url = {https://arxiv.org/abs/2003.14018}, doi = {10.1007/s11081-020-09498-8} }

2020

article

Improved energy minimization of iron-carbon systems: On the influence of positioning interstitial atoms

Modelling and Simulation in Materials Science and Engineering

@article{FeC, author = {Gunkelmann, Nina and Merkert, Maximilian}, title = {Improved energy minimization of iron-carbon systems: On the influence of positioning interstitial atoms}, journal = {Modelling and Simulation in Materials Science and Engineering}, publisher = {{IOP} Publishing}, year = {2020}, volume = {28}, number = {4}, pages = {045005}, doi = {10.1088/1361-651x/ab6bb6} }

2020

misc

A locally modified second-order finite element method for interface problems

@misc{FreiJudakovaRichter, author = {Frei, S. and Judakova, G. and Richter, T.}, title = {A locally modified second-order finite element method for interface problems}, year = {2020}, url = {http://arxiv.org/abs/2007.13906} }

2020

article

Efficient approximation of flow problems with multiple scales in time

SIAM Multiscale Modeling and Simulation

@article{FreiRichter2020, author = {Frei, S. and Richter, T.}, title = {Efficient approximation of flow problems with multiple scales in time}, journal = {SIAM Multiscale Modeling and Simulation}, year = {2020}, volume = {18}, number = {2} }

2020

article

Optimality regions for designs in multiple linear regression models with correlated random coefficients

Journal of Statistical Planning and Inference

@article{GHRS2019, author = {Graßhoff, U. and Holling, H. and R{\"o}ttger, F. and Schwabe, R.}, title = {Optimality regions for designs in multiple linear regression models with correlated random coefficients}, journal = {Journal of Statistical Planning and Inference}, year = {2020}, volume = {209}, pages = {267--279}, doi = {10.1016/j.jspi.2020.04.004} }

2020

incollection

Power-to-Chemicals: A Superstructure Problem for Sustainable Syngas Production

Mathematics in Industry

@incollection{Garmatter2020, author = {Garmatter, D. and Maggi, A. and Wenzel, M. and Monem, S. and Hahn, M. and Stoll, M. and Sager, S. and Benner, P. and Sundmacher, K.}, title = {Power-to-Chemicals: A Superstructure Problem for Sustainable Syngas Production}, booktitle = {Mathematics in Industry}, publisher = {Springer}, year = {2020}, note = {accepted} }

2020

misc

A neural network multigrid solver for the Navier-Stokes equations

@misc{HartmannLessigMargenbergRichter2020, author = {Hartmann, D. and Lessig, C. and Margenberg, N. and Richter, T.}, title = {A neural network multigrid solver for the Navier-Stokes equations}, year = {2020} }

2020

article

The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems

PAMM

@article{KGA20b, author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.}, title = {The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems}, journal = {PAMM}, year = {2020}, note = {Accepted} }

2020

incollection

The Loewner framework for system identification and reduction

Methods and Algorithms

@incollection{KGAHandbook, author = {Karachalios, D. S. and Gosea, I. V. and Antoulas, A. C.}, title = {The {L}oewner framework for system identification and reduction}, booktitle = {Methods and Algorithms}, publisher = {De Gruyter}, year = {2020}, editor = {Benner, P. and Grivet-Talocia, S. and Quarteroni, A. and Rozza, G. and Schilders, W. H. A. and Silveira, L. M.}, volume = {1}, series = {Handbook on Model Reduction}, note = {In press} }

2020

article

Geometrie optimaler Versuchspläne

Mitt. Dtsch. Math.-Ver.

@article{KRS20, author = {Kahle, Thomas and R{\"o}ttger, Frank and Schwabe, Rainer}, title = {Geometrie optimaler {V}ersuchspl{\"a}ne}, journal = {Mitt. Dtsch. Math.-Ver.}, year = {2020}, volume = {28}, number = {2}, pages = {71--76}, doi = {10.1515/dmvm-2020-0025} }

2020

article

Autonomous traffic at intersections: an optimization-based analysis of possible time, energy, and CO2 savings

Preprint (Optimization Online), submitted to Networks

@article{Le2020, author = {Le, D. D. and Merkert, M. and Sorgatz, S. and Hahn, M. and Sager, S.}, title = {Autonomous traffic at intersections: an optimization-based analysis of possible time, energy, and {CO2} savings}, journal = {Preprint (Optimization Online), submitted to Networks}, year = {2020}, url = {http://www.optimization-online.org/DB_HTML/2020/02/7600.html} }

2020

article

Optimized and Personalized Phlebotomy Schedules for Patients suffering from Polycythemia Vera

Frontiers in Physiology

@article{Lilienthal2020, author = {Lilienthal, P. and Tetschke, M. and Schalk, E. and Fischer, T. and Sager, S.}, title = {Optimized and Personalized Phlebotomy Schedules for Patients suffering from Polycythemia Vera}, journal = {Frontiers in Physiology}, year = {2020}, volume = {11}, pages = {328}, url = {https://www.frontiersin.org/article/10.3389/fphys.2020.00328}, doi = {10.3389/fphys.2020.00328} }

2020

article

Optimal designs for two-level main effects models on a restricted design region

J. Statist. Plann. Inference

@article{MR3961928, author = {Freise, Fritjof and Holling, Heinz and Schwabe, Rainer}, title = {Optimal designs for two-level main effects models on a restricted design region}, journal = {J. Statist. Plann. Inference}, year = {2020}, volume = {204}, pages = {45--54}, doi = {10.1016/j.jspi.2019.04.005} }

2020

article

Optimal designs for Poisson count data with Gamma block effects

J. Statist. Plann. Inference

@article{MR3961934, author = {Schmidt, Marius and Schwabe, Rainer}, title = {Optimal designs for {P}oisson count data with {G}amma block effects}, journal = {J. Statist. Plann. Inference}, year = {2020}, volume = {204}, pages = {128--140}, doi = {10.1016/j.jspi.2019.05.002} }

2020

misc

Structure Preservation for the Deep Neural Network Multigrid Solver

@misc{MargenbergLessigRichter2020, author = {Margenberg, N. and Lessig, C. and Richter, T.}, title = {Structure Preservation for the Deep Neural Network Multigrid Solver}, year = {2020} }

2020

article

A goal oriented error estimator and mesh adaptivity for sea ice simulations

Ocean Modeling

@article{MehlmannRichter2020, author = {Mehlmann, C. and Richter, T.}, title = {A goal oriented error estimator and mesh adaptivity for sea ice simulations}, journal = {Ocean Modeling}, year = {2020}, volume = {154}, number = {101684}, doi = {10.1016/j.ocemod.2020.101684} }

2020

article

Density-Induced Consensus Protocol

Math. Models Methods Appl. Sci.

@article{MiMuPe2020, author = {Minakowski, Piotr and Mucha, Piotr B. and Peszek, Jan}, title = {Density-Induced Consensus Protocol}, journal = {Math. Models Methods Appl. Sci.}, publisher = {World Scientific}, year = {2020}, doi = {10.1142/s0218202520500451} }

2020

article

Finite Element Error Estimates on Geometrically Perturbed Domains

Journal of Scientific Computing

@article{MinakThomas2019, author = {Minakowski, Piotr and Richter, Thomas}, title = {Finite Element Error Estimates on Geometrically Perturbed Domains}, journal = {Journal of Scientific Computing}, publisher = {Springer Science and Business Media {LLC}}, year = {2020}, volume = {84}, number = {2}, doi = {10.1007/s10915-020-01285-y} }

2020

inproceedings

Fusing online Gaussian process-Based learning and control for scanning quantum dot microscopy

59th Conference on Decision and Control (CDC)

@inproceedings{Pfefferkorn2020, author = {Pfefferkorn, Maik and Maiworm, Michael and Wagner, Christian and Tautz, F. Stefan and Findeisen, Rolf}, title = {Fusing online {G}aussian process-Based learning and control for scanning quantum dot microscopy}, booktitle = {59th Conference on Decision and Control (CDC)}, year = {2020}, pages = {5525--5531}, organization = {IEEE}, doi = {10.1109/CDC42340.2020.9304053} }

2020

misc

An Exact Projection-Based Algorithm for Bilevel Mixed-Integer Problems with Nonlinearities

@misc{ProjBilevel, author = {Merkert, Maximilian and Orlinskaya, Galina and Weninger, Dieter}, title = {An Exact Projection-Based Algorithm for Bilevel Mixed-Integer Problems with Nonlinearities}, year = {2020}, url = {http://www.optimization-online.org/DB_HTML/2020/12/8153.html} }

2020

article

Efficient Numerical Methods for Gas Network Modeling and Simulation

Networks and Heterogenous Media

@article{QiuGSetal18, author = {Qiu, Y. and Grundel, S. and Stoll, M. and Benner, P.}, title = {Efficient Numerical Methods for Gas Network Modeling and Simulation}, journal = {Networks and Heterogenous Media}, year = {2020}, note = {accepted} }

2020

article

Asymptotics of a locally dependent statistic on finite reflection groups

Electronic Journal of Combinatorics

@article{R2018, author = {R{\"o}ttger, F.}, title = {Asymptotics of a locally dependent statistic on finite reflection groups}, journal = {Electronic Journal of Combinatorics}, year = {2020}, volume = {27}, number = {2}, pages = {P2.24}, doi = {10.37236/9454} }

2020

article

Multiphase Mixed-Integer Nonlinear Optimal Control of Hybrid Electric Vehicles

Automatica

@article{Robuschi2020, author = {Robuschi, N. and Zeile, C. and Sager, S. and Braghin, F.}, title = {Multiphase Mixed-Integer Nonlinear Optimal Control of Hybrid Electric Vehicles}, journal = {Automatica}, year = {2020}, note = {accepted}, url = {http://www.optimization-online.org/DB_HTML/2019/05/7223.html} }

2020

misc

On Recognizing Staircase Compatibility

@misc{SCRecog, author = {B{\"a}rmann, Andreas and Gemander, Patrick and Martin, Alexander and Merkert, Maximilian}, title = {On Recognizing Staircase Compatibility}, year = {2020}, url = {http://www.optimization-online.org/DB_HTML/2020/12/8138.html} }

2020

article

Properties of time transformed mixed-integer optimal control problems

Preprint (Optimization Online), submitted to Journal of Global Optimization

@article{Sager2020a, author = {Sager, Sebastian and Tetschke, Manuel}, title = {Properties of time transformed mixed-integer optimal control problems}, journal = {Preprint (Optimization Online), submitted to Journal of Global Optimization}, year = {2020}, note = {submitted}, url = {http://www.optimization-online.org/DB_HTML/2020/03/7698.html} }

2020

article

Solving mixed-integer nonlinear optimization problems using simultaneous convexification: a case study for gas networks

Journal of Global Optimization

@article{SimConv, author = {Liers, Frauke and Martin, Alexander and Merkert, Maximilian and Mertens, Nick and Michaels, Dennis}, title = {Solving mixed-integer nonlinear optimization problems using simultaneous convexification: a case study for gas networks}, journal = {Journal of Global Optimization}, year = {2020}, doi = {10.1007/s10898-020-00974-0} }

2020

article

Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes Equations

SIAM J. Numer. Anal.

@article{SonnerRichter2018, author = {Sonner, F. and Richter, T.}, title = {Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes Equations}, journal = {SIAM J. Numer. Anal.}, year = {2020}, volume = {58}, pages = {375-409}, doi = {10.1137/18M1234813} }

2020

inproceedings

A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems

Numerical Mathematics and Advanced Applications ENUMATH 2019

@inproceedings{WeiBR19b, author = {Benner, P. and Richter, T. and Weinhandl, R.}, title = {A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems}, booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2019}, publisher = {Springer-Verlag, Berlin/Heidelberg, Germany}, year = {2020}, note = {Accepted} }

2020

article

Low-rank linear fluid-structure interaction discretizations

ZAMM — Zeitschrift f. Angew. Math. Mech.

@article{WeiBR20, author = {Weinhandl, R. and Benner, P. and Richter, T.}, title = {Low-rank linear fluid-structure interaction discretizations}, journal = {ZAMM --- Zeitschrift f. Angew. Math. Mech.}, year = {2020}, volume = {100}, pages = {e201900205}, doi = {10.1002/zamm.201900205} }

2020

techreport

A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity

@techreport{WeiBR20a, author = {Weinhandl, R. and Benner, P. and Richter, T.}, title = {A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity}, year = {2020}, number = {arXiv:2008.10275}, note = {math.NA}, url = {https://arxiv.org/abs/2008.10275} }

2020

article

Mixed-Integer Optimal Control under Minimum Dwell Time Constraints

Mathematical Programming

@article{Zeile2019a, author = {Zeile, C. and Robuschi, N. and Sager, S.}, title = {Mixed-Integer Optimal Control under Minimum Dwell Time Constraints}, journal = {Mathematical Programming}, year = {2020}, pages = {1--42}, url = {https://link.springer.com/article/10.1007/s10107-020-01533-x}, doi = {10.1007/s10107-020-01533-x} }

2020

article

On Mixed-Integer Optimal Control with Constrained Total Variation of the Integer Control

Computational Optimization and Applications

@article{Zeile2019b, author = {Sager, Sebastian and Zeile, Clemens}, title = {On Mixed-Integer Optimal Control with Constrained Total Variation of the Integer Control}, journal = {Computational Optimization and Applications}, year = {2020}, doi = {10.1007/s10589-020-00244-5} }

2020

article

A Personalized Switched Systems Approach for the Optimal Control of Ventricular Assist Devices based on Atrioventricular Plane Displacement

Preprint (biorxiv)

@article{Zeile2020a, author = {Zeile, C. and Rauwolf, T. and Schmeisser, A. and Mizerski, J.K. and Braun-Dullaeus, R. C. and Sager, S.}, title = {A Personalized Switched Systems Approach for the Optimal Control of Ventricular Assist Devices based on Atrioventricular Plane Displacement}, journal = {Preprint (biorxiv)}, year = {2020}, url = {https://www.biorxiv.org/content/10.1101/2020.05.27.119149v1} }

2020

inproceedings

Optimizing sparsity over lattices and semigroups

International Conference on Integer Programming and Combinatorial Optimization

@inproceedings{aliev2020optimizing, author = {Aliev, Iskander and Averkov, Gennadiy and De Loera, Jes{\'u}s A and Oertel, Timm}, title = {Optimizing sparsity over lattices and semigroups}, booktitle = {International Conference on Integer Programming and Combinatorial Optimization}, year = {2020}, pages = {40--51}, organization = {Springer} }

2020

article

A subspace framework for $H_ınfty$-norm minimization

SIAM Journal on Matrix Analysis and Applications

@article{aliyev2020subspace, author = {Aliyev, Nicat and Benner, Peter and Mengi, Emre and Voigt, Matthias}, title = {A subspace framework for {$H_\infty$}-norm minimization}, journal = {SIAM Journal on Matrix Analysis and Applications}, year = {2020}, volume = {41}, pages = {928–-956} }

2020

article

Identification of port-Hamiltonian systems from frequency response data

Systems & Control Letters

@article{benner2020identification, author = {Benner, Peter and Goyal, Pawan and Van Dooren, Paul}, title = {Identification of port-Hamiltonian systems from frequency response data}, journal = {Systems \& Control Letters}, year = {2020}, volume = {143}, pages = {104741} }

2020

article

Low-rank solution of an optimal control problem constrained by random Navier–Stokes equations

International Journal for Numerical Methods in Fluids

@article{benner2020low, author = {Benner, Peter and Dolgov, Sergey and Onwunta, Akwum and Stoll, Martin}, title = {Low-rank solution of an optimal control problem constrained by random Navier--Stokes equations}, journal = {International Journal for Numerical Methods in Fluids}, year = {2020}, volume = {92}, number = {11}, pages = {1653-1678}, doi = {10.1002/fld.4843} }

2020

article

Model reduction of controlled Fokker–Planck and Liouville-von Neumann equations

Journal of Computational Dynamics

@article{benner2020model, author = {Benner, Peter and Breiten, Tobias and Hartmann, Carsten and Schmidt, Burkhard}, title = {Model reduction of controlled {Fokker--Planck and Liouville-von Neumann} equations}, journal = {Journal of Computational Dynamics}, year = {2020}, volume = {7}, pages = {1--33} }

2020

article

A Bayesian nonparametric approach to log-concave density estimation

Bernoulli

@article{ber, author = {Mariucci, E. and Ray, K. and Szabó, B.}, title = {A {B}ayesian nonparametric approach to log-concave density estimation}, journal = {Bernoulli}, year = {2020}, volume = {26}, number = {2}, pages = {1070--1097}, doi = {10.3150/19-BEJ1139} }

2020

misc

Compound Poisson approximation to estimate the Lévy density

@misc{celest, author = {Duval, C. and Mariucci, E.}, title = {Compound {P}oisson approximation to estimate the {L}évy density}, year = {2020} }

2020

article

Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems

International Journal for Numerical Methods in Engineering

@article{chellappa2020adaptive, author = {Chellappa, Sridhar and Feng, Lihong and Benner, Peter}, title = {Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems}, journal = {International Journal for Numerical Methods in Engineering}, year = {2020}, volume = {121}, number = {23}, pages = {5320-5349}, doi = {10.1002/nme.6462} }

2020

misc

A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data

@misc{cherifi2020non, author = {Cherifi, Karim and Goyal, Pawan and Benner, Peter}, title = {A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data}, year = {2020} }

2020

article

Sums of squares in Macaulay2

Journal of Software for Algebra and Geometry

@article{cifuentes2018sums, author = {Cifuentes, Diego and Kahle, Thomas and Parrilo, Pablo A}, title = {Sums of squares in Macaulay2}, journal = {Journal of Software for Algebra and Geometry}, year = {2020}, volume = {10}, number = {1}, pages = {17-24}, doi = {10.2140/jsag.2020.10.17} }

2020

phdthesis

Mixed Lattice Polytope Theory with a View towards Sparse Polynomial Systems

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik

@phdthesis{dissBorger, author = {Borger, Christopher}, title = {Mixed Lattice Polytope Theory with a View towards Sparse Polynomial Systems}, school = {Otto-von-Guericke-Universit{\"a}t Magdeburg, Fakult{\"a}t f{\"u}r Mathematik}, year = {2020}, url = {10.25673/34600} }

2020

phdthesis

Geometry of optimal design and limit theorems

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik

@phdthesis{dissRoettger, author = {R{\"o}ttger, Frank}, title = {Geometry of optimal design and limit theorems}, school = {Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik}, year = {2020}, doi = {10.25673/33904} }

2020

misc

On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems

@misc{feng2020error, author = {Feng, Lihong and Benner, Peter}, title = {On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems}, year = {2020} }

2020

misc

Sequential change point detection in high dimensional time series

@misc{gosmann2020sequential, author = {G{\"o}smann, Josua and St{\"o}hr, Christina and Dette, Holger}, title = {Sequential change point detection in high dimensional time series}, year = {2020} }

2020

article

D-optimal design for the Rasch counts model with multiple binary predictors

Brit. J. Math. Statist. Psych.

@article{grasshoff2020rasch, author = {Gra{\ss}hoff, Ulrike and Holling, Heinz and Schwabe, Rainer}, title = {D-optimal design for the Rasch counts model with multiple binary predictors}, journal = {Brit. J. Math. Statist. Psych.}, year = {2020}, volume = {73}, pages = {541--555}, doi = {10.1111/bmsp.12204} }

2020

article

Hilbert–Poincaré series of parity binomial edge ideals and permanental ideals of complete graph

Collecteana Mathematica

@article{hoang20:_hilber, author = {Hoang, Do Trong and Kahle, Thomas}, title = {{H}ilbert--{P}oincar\'e series of parity binomial edge ideals and permanental ideals of complete graph}, journal = {Collecteana Mathematica}, year = {2020}, pages = {published online}, doi = {10.1007/s13348-020-00294-2} }

2020

article

In- and Equivariance for Optimal Designs in Generalized Linear Models: The Gamma Model

arXiv e-prints arXiv:2011.09745

@article{idais2020invariance, author = {Idais, Osama and Schwabe, Rainer}, title = {In- and Equivariance for Optimal Designs in Generalized Linear Models: The Gamma Model}, journal = {arXiv e-prints arXiv:2011.09745}, year = {2020} }

2020

article

Counting inversions and descents of random elements in finite Coxeter groups

Math. of Computation

@article{kahleStump2018, author = {Kahle, Thomas and Stump, Christian}, title = {Counting inversions and descents of random elements in finite {C}oxeter groups}, journal = {Math. of Computation}, year = {2020}, volume = {89}, pages = {437-464}, doi = {10.1090/mcom/3443} }

2020

incollection

On Bilinear Time Domain Identification and Reduction in the Loewner Framework

International Series of Numerical Mathematics

@incollection{karachalios2020bilinear, author = {Karachalios, D. S. and Gosea, I. V. and Antoulas, A. C.}, title = {{O}n {B}ilinear {T}ime {D}omain {I}dentification and {R}eduction in the {L}oewner {F}ramework}, booktitle = {International Series of Numerical Mathematics}, publisher = {Springer}, year = {2020}, note = {accepted} }

2020

misc

Efficient Structure-preserving Support Tensor Train Machine

@misc{kour2020efficient, author = {Kour, Kirandeep and Dolgov, Sergey and Stoll, Martin and Benner, Peter}, title = {Efficient Structure-preserving Support Tensor Train Machine}, year = {2020} }

2020

book

Benner, P., Grivet-Talocia, S., Quarteroni, A., Rozza, G., Schilders, W. H., Silveira, L. M.

Model Order Reduction. Volume 1: System- and Data-Driven Methods and Algorithms

@book{mor:vol1, title = {{Model Order Reduction. Volume 1: System- and Data-Driven Methods and Algorithms}}, publisher = {De~Gruyter}, year = {2020}, editor = {Benner, Peter and Grivet-Talocia, Stefano and Quarteroni, Alfio and Rozza, Gianluigi and Schilders, {Wilhelmus H.A.} and Silveira, {Luis Miguel}}, address = {Berlin} }

2020

book

Benner, P., Grivet-Talocia, S., Quarteroni, A., Rozza, G., Schilders, W. H., Silveira, L. M.

Model Order Reduction. Volume 2: Snapshot-Based Methods and Algorithms

@book{mor:vol2, title = {{Model Order Reduction. Volume 2: Snapshot-Based Methods and Algorithms}}, publisher = {De~Gruyter}, year = {2020}, editor = {Benner, Peter and Grivet-Talocia, Stefano and Quarteroni, Alfio and Rozza, Gianluigi and Schilders, {Wilhelmus H.A.} and Silveira, {Luis Miguel}}, address = {Berlin} }

2020

book

Benner, P., Grivet-Talocia, S., Quarteroni, A., Rozza, G., Schilders, W. H., Silveira, L. M.

Model Order Reduction. Volume 3: Applications

@book{mor:vol3, title = {{Model Order Reduction. Volume 3: Applications}}, publisher = {De~Gruyter}, year = {2020}, editor = {Benner, Peter and Grivet-Talocia, Stefano and Quarteroni, Alfio and Rozza, Gianluigi and Schilders, {Wilhelmus H.A.} and Silveira, {Luis Miguel}}, address = {Berlin} }

2020

incollection

Data-Driven Model Reduction of the Oseen Equations Using the Loewner Framework

Progress in Differential-Algebraic Equations II

@incollection{morAntGH20, author = {Antoulas, A. C. and Gosea, I. V. and Heinkenschloss, M.}, title = {Data-Driven Model Reduction of the {O}seen Equations Using the {L}oewner Framework}, booktitle = {Progress in Differential-Algebraic Equations II}, publisher = {Springer}, year = {2020}, editor = {Grundel, S. and Reis, T. and Sch\"ops, S.}, series = {Differential-Algebraic Equations Forum}, note = {accepted for publication} }

2020

techreport

Automatic Decoupling and Index-Aware Model Order Reduction for Nonlinear Differential Algebraic Equations

@techreport{morBanAGB20, author = {Banagaaya, N. and Ali, G. and Grundel, S. and Benner, P.}, title = {Automatic Decoupling and Index-Aware Model Order Reduction for Nonlinear Differential Algebraic Equations}, year = {2020} }

2020

inproceedings

Index-aware MOR for Gas Transport Networks

IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018

@inproceedings{morBanGB20, author = {Banagaaya, N. and Grundel, S. and Benner, P.}, title = {Index-aware MOR for Gas Transport Networks}, booktitle = {IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22--25, 2018}, year = {2020}, pages = {191--207}, organization = {Springer} }

2020

techreport

Structure-Preserving Model Reduction for Dissipative Mechanical Systems

@techreport{morBedBDetal20, author = {Beddig, R. S. and Benner, P. and Dorschky, I. and Reis, T. and Schwerdtner, P. and Voigt, M. and Werner, S. W. R.}, title = {Structure-Preserving Model Reduction for Dissipative Mechanical Systems}, year = {2020}, number = {2010.06331}, note = {math.OC} }

2020

techreport

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

@techreport{morBenGHetal20, author = {Benner, P. and Goyal, P. and Heiland, J. and Pontes Duff, I.}, title = {Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows}, year = {2020}, number = {2010.06701} }

2020

article

Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms

Comp. Meth. Appl. Mech. Eng.

@article{morBenGKetal20, author = {Benner, P. and Goyal, P. and Kramer, B. and Peherstorfer, B. and Willcox, K.}, title = {Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms}, journal = {Comp. Meth. Appl. Mech. Eng.}, year = {2020}, volume = {372}, pages = {113433}, doi = {10.1016/j.cma.2020.113433} }

2020

techreport

Clustering-Based Model Order Reduction for Nonlinear Network Systems

@techreport{morBenGM20, author = {Benner, P. and Grundel, S. and Mlinari\'{c}, P.}, title = {Clustering-Based Model Order Reduction for Nonlinear Network Systems}, year = {2020} }

2020

techreport

Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems

@techreport{morBenGW20a, author = {Benner, P. and Gugercin, S. and Werner, S. W. R.}, title = {Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems}, year = {2020}, number = {2007.11269}, note = {math.NA}, url = {https://arxiv.org/abs/2007.11269} }

2020

misc

Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 2.0)

@misc{morBenW20, author = {Benner, P. and Werner, S. W. R.}, title = {Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 2.0)}, year = {2020}, doi = {10.5281/zenodo.3331592} }

2020

misc

SOMDDPA – Second-Order Modally-Damped Dominant Pole Algorithm (Version 1.1)

@misc{morBenW20a, author = {Benner, P. and Werner, S. W. R.}, title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally-{D}amped {D}ominant {P}ole {A}lgorithm (Version 1.1)}, year = {2020}, doi = {10.5281/zenodo.3332706} }

2020

article

Frequency- and time-limited balanced truncation for large-scale second-order systems

Linear Algebra Appl.

@article{morBenW20b, author = {Benner, P. and Werner, S. W. R.}, title = {Frequency- and time-limited balanced truncation for large-scale second-order systems}, journal = {Linear Algebra Appl.}, year = {2020}, volume = {}, number = {}, pages = {}, note = {article in press}, doi = {10.1016/j.laa.2020.06.024} }

2020

techreport

MORLAB – The Model Order Reduction LABoratory

@techreport{morBenW20c, author = {Benner, P. and Werner, S. W. R.}, title = {{MORLAB} -- {T}he {M}odel {O}rder {R}eduction {LAB}oratory}, year = {2020}, number = {2002.12682}, note = {cs.MS}, url = {https://arxiv.org/abs/2002.12682} }

2020

article

Hankel-norm approximation of large-scale descriptor systems

Advances in Computational Mathematics

@article{morBenW20d, author = {Benner, P. and Werner, S. W. R.}, title = {{H}ankel-norm approximation of large-scale descriptor systems}, journal = {Advances in Computational Mathematics}, year = {2020}, volume = {46}, number = {3}, pages = {40}, doi = {10.1007/s10444-020-09750-w} }

2020

incollection

MORLAB – A Model Order Reduction Framework in MATLAB and Octave

Mathematical Software – ICMS 2020

@incollection{morBenW20e, author = {Benner, P. and Werner, S. W. R.}, title = {{MORLAB} -- {A} Model Order Reduction Framework in {MATLAB} and {O}ctave}, booktitle = {Mathematical Software -- ICMS 2020}, publisher = {Springer International Publishing}, year = {2020}, editor = {Bigatti, A. M. and Carette, J. and Davenport, J. H. and Joswig, M. and de Wolff, T.}, volume = {12097}, series = {International Congress on Mathematical Software}, pages = {432--441}, address = {Cham}, doi = {10.1007/978-3-030-52200-1_43} }

2020

article

Model order reduction for bilinear control systems with inhomogeneous initial conditions

International Journal of Control

@article{morCaoBPS2020, author = {Cao, X. and Benner, P. and {Pontes Duff}, I. and Schilders, W.}, title = {Model order reduction for bilinear control systems with inhomogeneous initial conditions}, journal = {International Journal of Control}, publisher = {Taylor \& Francis}, year = {2020}, note = {online} }

2020

inproceedings

The AAA framework for modeling linear dynamical systems with quadratic output

21st IFAC World Congress, Berlin, Germany, July 12–17

@inproceedings{morGosG20, author = {Gosea, I. V. and Gugercin, S.}, title = {The {AAA} framework for modeling linear dynamical systems with quadratic output}, booktitle = {21st IFAC World Congress, Berlin, Germany, July 12--17}, year = {2020}, note = {extended abstract, accepted for publication} }

2020

techreport

Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition

@techreport{morGosP20, author = {Gosea, I. V. and {Pontes Duff}, I.}, title = {Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition}, year = {2020}, number = {2003.06484}, note = {math.NA}, url = {https://arxiv.org/abs/2003.06484} }

2020

inproceedings

Model Order Reduction of Switched Linear Systems with Constrained Switching

IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018

@inproceedings{morGosPBA2020_IVG, author = {Gosea, I. V. and {Pontes Duff}, I. and Benner, P. and Antoulas, A. C.}, title = {Model Order Reduction of Switched Linear Systems with Constrained Switching}, booktitle = {IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22--25, 2018}, year = {2020}, pages = {41--53}, organization = {Springer} }

2020

techreport

Model Reduction of Linear Hybrid Systems

@techreport{morGosPLetal20, author = {Gosea, I. V. and Petreczky, M. and Leth, J. and Wisniewski, R. and Antoulas, A. C.}, title = {Model Reduction of Linear Hybrid Systems}, year = {2020}, number = {2003.07954}, note = {math.NA}, url = {https://arxiv.org/abs/2003.07954} }

2020

article

Preserving the DAE Structure in the Loewner Model Reduction and Identification Framework

Advances in Computational Mathematics

@article{morGosZA20, author = {Gosea, I. V. and Zhang, Q. and Antoulas, A. C.}, title = {Preserving the {DAE} Structure in the {L}oewner Model Reduction and Identification Framework}, journal = {Advances in Computational Mathematics}, publisher = {Springer}, year = {2020}, volume = {46}, number = {3}, doi = {10.1007/s10444-020-09752-8} }

2020

article

New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction

IEEE Transactions on Automatic Control

@article{morPonGB19_SG, author = {{Pontes Duff}, I. and {Grundel}, S. and {Benner}, P.}, title = {New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction}, journal = {IEEE Transactions on Automatic Control}, year = {2020}, volume = {65.6}, number = {2526--2535} }

2020

techreport

Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots

@techreport{morSarG20, author = {Sarna, N. and Grundel, S.}, title = {Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots}, year = {2020} }

2020

article

The Influence of Shape Constraints on the Thresholding Bandit Problem

@article{pmlr-v125-cheshire20a, author = {Cheshire, James and Menard, Pierre and Carpentier, Alexandra}, title = {The Influence of Shape Constraints on the Thresholding Bandit Problem}, publisher = {PMLR}, year = {2020}, editor = {Abernethy, Jacob and Agarwal, Shivani}, volume = {125}, series = {Proceedings of Machine Learning Research}, pages = {1228--1275}, url = {http://proceedings.mlr.press/v125/cheshire20a.html} }

2020

article

Optimal design in hierarchical random effect models for individual prediction with application in precision medicine

J. Stat. Theory Pract

@article{pru11, author = {Prus, M. and Benda, N. and Schwabe, R.}, title = {Optimal design in hierarchical random effect models for individual prediction with application in precision medicine}, journal = {J. Stat. Theory Pract}, year = {2020}, volume = {14}, pages = {24}, doi = {10.1007/s42519-020-00090-y} }

2020

misc

Optimal designs for prediction in two treatment groups random coefficient regression models

@misc{pru12, author = {Prus, M.}, title = {Optimal designs for prediction in two treatment groups random coefficient regression models}, year = {2020}, volume = {}, pages = {} }

2020

article

Optimal designs in multiple group random coefficient regression models

TEST

@article{pru7, author = {Prus, M.}, title = {Optimal designs in multiple group random coefficient regression models}, journal = {TEST}, year = {2020}, volume = {29}, pages = {233–254}, note = {} }

2020

misc

Equivalence theorems for compound design problems with application in mixed models

@misc{pru8, author = {Prus, M.}, title = {Equivalence theorems for compound design problems with application in mixed models}, year = {2020} }

2020

misc

Optimizing the allocation of trials to sub-regions in multi-environment crop variety testing

@misc{pru9, author = {Prus, M. and Piepho, H.-P.}, title = {Optimizing the allocation of trials to sub-regions in multi-environment crop variety testing}, year = {2020} }

2020

article

Decompounding discrete distributions: A nonparametric Bayesian approach

Scandinavian Journal of Statistics

@article{scandinavian, author = {Gugushvili, Shota and Mariucci, Ester and van der Meulen, Frank}, title = {Decompounding discrete distributions: A nonparametric {B}ayesian approach}, journal = {Scandinavian Journal of Statistics}, publisher = {Wiley Online Library}, year = {2020}, volume = {47}, pages = {464--492}, doi = {10.1111/sjos.12413} }

2020

article

Detecting changes in the covariance structure of functional time series with application to fMRI data

Econometrics and Statistics

@article{stoehr2020detecting, author = {St{\"o}hr, Christina and Aston, John AD and Kirch, Claudia}, title = {Detecting changes in the covariance structure of functional time series with application to fMRI data}, journal = {Econometrics and Statistics}, publisher = {Elsevier}, year = {2020}, doi = {10.1016/j.ecosta.2020.04.004} }

2020

misc

Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data

@misc{vWRFH20a, author = {von Wahl, H. and Richter, T. and Frei, S. and Hagemeier, T.}, title = {Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data}, year = {2020}, address = {Zenodo repository}, doi = {10.5281/zenodo.3989604} }

2020

misc

An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains

@misc{vWRL20a, author = {von Wahl, H. and Richter, T. and Lehrenfeld, C.}, title = {An unfitted {Eulerian} finite element method for the time-dependent {Stokes} problem on moving domains}, publisher = {Zenodo}, year = {2020}, address = {Zenodo repository}, doi = {10.5281/zenodo.3647571} }

2020

misc

Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation

@misc{yildiz2020data, author = {Y{\i}ld{\i}z, S{\"u}leyman and Goyal, Pawan and Benner, Peter and Karasozen, B{\"u}lent}, title = {Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation}, year = {2020} }

2020

article

The mixed degree of families of lattice polytopes

Ann. Comb.

@article{zbMATH07181812, author = {{Nill}, Benjamin}, title = {{The mixed degree of families of lattice polytopes}}, journal = {{Ann. Comb.}}, publisher = {Springer (Birkh\"auser), Basel}, year = {2020}, volume = {24}, number = {1}, pages = {203--216}, doi = {10.1007/s00026-019-00490-3} }

2019

misc

Total variation distance for discretely observed Lévy processes: a Gaussian approximation of the small jumps

@misc{ACE, author = {Carpentier, A. and Duval, C. and Mariucci, E.}, title = {Total variation distance for discretely observed {L}évy processes: a {G}aussian approximation of the small jumps}, year = {2019} }

2019

incollection

Families of 3-dimensional polytopes of mixed degree one

Algebraic and geometric combinatorics on lattice polytopes

@incollection{BB319, author = {Balletti, Gabriele and Borger, Christopher}, title = {Families of 3-dimensional polytopes of mixed degree one}, booktitle = {Algebraic and geometric combinatorics on lattice polytopes}, publisher = {World Sci. Publ., Hackensack, NJ}, year = {2019}, pages = {72--84} }

2019

article

A central limit theorem for the two-sided descent statistic on Coxeter groups

arXiv e-prints

@article{BR2019, author = {Br{\"u}ck, B. and R{\"o}ttger, F.}, title = {{A central limit theorem for the two-sided descent statistic on Coxeter groups}}, journal = {arXiv e-prints}, year = {2019} }

2019

article

Surrogate models in bidirectional optimization of coupled microgrids

at-Automatisierungstechnik

@article{BauGSW19, author = {Baumann, M. and Grundel, S. and Sauerteig, P. and Worthmann, K.}, title = {Surrogate models in bidirectional optimization of coupled microgrids}, journal = {at-Automatisierungstechnik}, publisher = {De Gruyter Oldenbourg}, year = {2019}, volume = {67}, number = {12}, pages = {1035--1046} }

2019

article

Gas network benchmark models

Applications of Differential-Algebraic Equations: Examples and Benchmarks

@article{BenGHetal19, author = {Benner, P. and Grundel, S. and Himpe, C. and Huck, C. and Streubel, T. and Tischendorf, C.}, title = {Gas network benchmark models}, journal = {Applications of Differential-Algebraic Equations: Examples and Benchmarks}, publisher = {Springer}, year = {2019}, pages = {171--197} }

2019

article

Robust Controller versus Numerical Model Uncertainties for Stabilization of Navier-Stokes Equations

IFAC-PapersOnLine

@article{BenHW19, author = {Benner, P. and Heiland, J. and Werner, S. W. R.}, title = {Robust Controller versus Numerical Model Uncertainties for Stabilization of {N}avier-{S}tokes Equations}, journal = {IFAC-PapersOnLine}, year = {2019}, volume = {52}, number = {2}, pages = {25--29}, note = {3rd {IFAC/IEEE CSS} Workshop on Control of Systems Governed by Partial Differential Equation {CPDE} 2019}, doi = {10.1016/j.ifacol.2019.08.005} }

2019

article

The Geometry of Gaussoids

Foundations of Computational Mathematics

@article{Boege2019, author = {{Boege}, Tobias and {D'Al{\`i}}, Alessio and {Kahle}, Thomas and {Sturmfels}, Bernd}, title = {The Geometry of Gaussoids}, journal = {Foundations of Computational Mathematics}, year = {2019}, volume = {19}, number = {4}, pages = {775--812}, doi = {10.1007/s10208-018-9396-x} }

2019

article

Design, Implementation and Simulation of an MPC algorithm for Switched Nonlinear Systems under Combinatorial Constraints

Process Control

@article{Buerger2019, author = {Buerger, A. and Zeile, C. and Altmann-Dieses, A. and Sager, S. and Diehl, M.}, title = {Design, Implementation and Simulation of an MPC algorithm for Switched Nonlinear Systems under Combinatorial Constraints}, journal = {Process Control}, year = {2019}, volume = {81}, pages = {15--30}, doi = {10.1016/j.jprocont.2019.05.016} }

2019

incollection

Surrogate Models For Coupled Microgrids

Progress in Industrial Mathematics at ECMI 2018

@incollection{GruSW19, author = {Grundel, S. and Sauerteig, P. and Worthmann, K.}, title = {Surrogate Models For Coupled Microgrids}, booktitle = {Progress in Industrial Mathematics at ECMI 2018}, publisher = {Springer}, year = {2019}, pages = {477--483} }

2019

misc

Expert-Enhanced Machine Learning for Cardiac Arrhythmia Classification

@misc{HEATML, author = {Sager, Sebastian and Bernhardt, Felix and Kehrle, Florian and Merkert, Maximilian and Potschka, Andreas and Meder, Benjamin and Katus, Hugo and Scholz, Eberhard}, title = {Expert-Enhanced Machine Learning for Cardiac Arrhythmia Classification}, year = {2019}, url = {http://www.optimization-online.org/DB_HTML/2019/10/7421.html} }

2019

incollection

Decomposition and approximation for PDE-constrained mixed-integer optimal control

SPP1962 Special Issue

@incollection{Hahn2019, author = {Hahn, M. and Kirches, C. and Manns, P. and Sager, S. and Zeile, C.}, title = {Decomposition and approximation for PDE-constrained mixed-integer optimal control}, booktitle = {SPP1962 Special Issue}, publisher = {Birkh\"{a}user}, year = {2019}, editor = {Hinterm\"{u}ller, M. et al.}, note = {(accepted)}, url = {https://mathopt.de/PUBLICATIONS/Hahn2019.pdf} }

2019

article

The asymptotic error of chaos expansion approximations for stochastic differential equations

Modern Stochastics: Theory and Applications

@article{Huschto2019, author = {Huschto, T. and Podolskij, M. and Sager, S.}, title = {The asymptotic error of chaos expansion approximations for stochastic differential equations}, journal = {Modern {S}tochastics: {T}heory and {A}pplications}, year = {2019}, volume = {6}, number = {2}, pages = {145-165}, doi = {10.15559/19-VMSTA133} }

2019

article

A bilinear identification-modeling framework from time domain data

PAMM

@article{KGA2019pammBilinear, author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.}, title = {A bilinear identification-modeling framework from time domain data}, journal = {PAMM}, year = {2019}, volume = {19}, number = {1}, pages = {e201900246}, doi = {10.1002/pamm.201900246} }

2019

article

Locally $D$-optimal designs for non-linear models on the $k$-dimensional ball

J. Statist. Plann. Inference

@article{MR3950597, author = {Radloff, Martin and Schwabe, Rainer}, title = {Locally {$D$}-optimal designs for non-linear models on the {$k$}-dimensional ball}, journal = {J. Statist. Plann. Inference}, year = {2019}, volume = {203}, pages = {106--116}, doi = {10.1016/j.jspi.2019.03.004} }

2019

article

Locally optimal designs for gamma models

J. Statist. Plann. Inference

@article{MR3950604, author = {Gaffke, Norbert and Idais, Osama and Schwabe, Rainer}, title = {Locally optimal designs for gamma models}, journal = {J. Statist. Plann. Inference}, year = {2019}, volume = {203}, pages = {199--214}, doi = {10.1016/j.jspi.2019.04.002} }

2019

article

Optimal designs for $K$-factor two-level models with first-order interactions on a symmetrically restricted design region

Statist. Papers

@article{MR3969042, author = {Freise, Fritjof and Schwabe, Rainer}, title = {Optimal designs for {$K$}-factor two-level models with first-order interactions on a symmetrically restricted design region}, journal = {Statist. Papers}, year = {2019}, volume = {60}, number = {2}, pages = {145--163}, doi = {10.1007/s00362-018-01063-x} }

2019

article

Locally $D$-optimal designs for a wider class of non-linear models on the $k$-dimensional ball with applications to logit and probit models

Statist. Papers

@article{MR3969043, author = {Radloff, Martin and Schwabe, Rainer}, title = {Locally {$D$}-optimal designs for a wider class of non-linear models on the {$k$}-dimensional ball with applications to logit and probit models}, journal = {Statist. Papers}, year = {2019}, volume = {60}, number = {2}, pages = {165--177}, doi = {10.1007/s00362-018-01078-4} }

2019

article

Optimal designs for second-order interactions in paired comparison experiments with binary attributes

J. Stat. Theory Pract.

@article{MR3995197, author = {Nyarko, Eric and Schwabe, Rainer}, title = {Optimal designs for second-order interactions in paired comparison experiments with binary attributes}, journal = {J. Stat. Theory Pract.}, year = {2019}, volume = {13}, number = {4}, pages = {Paper No. 51, 16}, doi = {10.1007/s42519-019-0051-x} }

2019

inbook

Singular Cucker–Smale Dynamics

Active Particles, Volume 2: Advances in Theory, Models, and Applications

@inbook{MiMuPeZa2019, author = {Minakowski, Piotr and Mucha, Piotr B. and Peszek, Jan and Zatorska, Ewelina}, title = {Singular Cucker--Smale Dynamics}, booktitle = {Active Particles, Volume 2: Advances in Theory, Models, and Applications}, publisher = {Springer International Publishing}, year = {2019}, editor = {Bellomo, Nicola and Degond, Pierre and Tadmor, Eitan}, pages = {201--243}, address = {Cham}, doi = {10.1007/978-3-030-20297-2_7} }

2019

inproceedings

The candy wrapper problem - a temporal multiscale approach for pde/pde systems

Numerical Mathematics and Advanced Applications - Enumath 2019

@inproceedings{MizerskiRichter2019, author = {Mizerski, J. and Richter, T.}, title = {The candy wrapper problem - a temporal multiscale approach for pde/pde systems}, booktitle = {Numerical Mathematics and Advanced Applications - Enumath 2019}, publisher = {Springer}, year = {2019}, series = {Lecture Notes in Computational Science and Engineering} }

2019

inproceedings

Modeling and optimization of traffic at traffic-light controlled intersections

Oberwolfach Reports

Oberwolfach Report No. 26/2019 on the Workshop "Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics"

@inproceedings{OWFMINLP, author = {Merkert, Maximilian and Averkov, Gennadiy and Le, Do Duc and Sager, Sebastian and Sorgatz, Stephan}, title = {Modeling and optimization of traffic at traffic-light controlled intersections}, booktitle = {Oberwolfach Report No. 26/2019 on the Workshop "Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics"}, journal = {Oberwolfach Reports}, publisher = {European Mathematical Society Publishing House}, year = {2019}, editor = {Liberti, Leo and Sager, Sebastian and Wiegele, Angelika}, volume = {16}, pages = {1573–1637}, doi = {10.4171/OWR/2019/26} }

2019

misc

Convexification of polynomial optimization problems by means of monomial patterns

@misc{Peters2019, author = {Averkov, Gennadiy and Peters, Benjamin and Sager, Sebastian}, title = {Convexification of polynomial optimization problems by means of monomial patterns}, year = {2019} }

2019

misc

Energy-Efficient Timetabling in a German Underground System

@misc{VAGSuccessStory, author = {Bärmann, Andreas and Gemander, Patrick and Martin, Alexander and Merkert, Maximilian and Nöth, Frederik}, title = {Energy-Efficient Timetabling in a {G}erman Underground System}, publisher = {Springer}, year = {2019} }

2019

article

Solving Quadratic Programs to High Precision using Scaled Iterative Refinement

Mathematical Programming Computation

@article{Weber2019, author = {Weber, T. and Sager, S. and Gleixner, A.}, title = {Solving Quadratic Programs to High Precision using Scaled Iterative Refinement}, journal = {{M}athematical {P}rogramming {C}omputation}, year = {2019}, volume = {11}, number = {3}, pages = {421--455}, doi = {10.1007/s12532-019-00154-6} }

2019

article

Interpolatory model reduction for quadratic-bilinear systems using error estimators

Engineering Computations

@article{ahmad2019interpolatory, author = {Ahmad, Mian Ilyas and Benner, Peter and Feng, Lihong}, title = {Interpolatory model reduction for quadratic-bilinear systems using error estimators}, journal = {Engineering Computations}, year = {2019}, volume = {36}, number = {1}, pages = {25--44} }

2019

article

A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems

International Journal of Computer Mathematics

@article{ahmad2019new, author = {Ahmad, Mian Ilyas and Feng, Lihong and Benner, Peter}, title = {A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems}, journal = {International Journal of Computer Mathematics}, year = {2019}, volume = {96}, number = {10}, pages = {1899--1909} }

2019

article

Equality case in van der Corput’s inequality and collisions in multiple lattice tilings

Discrete & Computational Geometry

@article{averkov2019equality, author = {Averkov, Gennadiy}, title = {Equality case in van der {C}orput’s inequality and collisions in multiple lattice tilings}, journal = {Discrete \& Computational Geometry}, publisher = {Springer}, year = {2019}, pages = {1--15} }

2019

misc

Generalized flatness constants, spanning lattice polytopes, and the Gromov width

@misc{averkov2019generalized, author = {Averkov, Gennadiy and Hofscheier, Johannes and Nill, Benjamin}, title = {Generalized flatness constants, spanning lattice polytopes, and the {G}romov width}, year = {2019} }

2019

article

A local maximizer for lattice width of $3 $-dimensional hollow bodies

to appear in Algorithmic Discrete Mathematics

@article{averkov2019local, author = {Averkov, Gennadiy and Codenotti, Giulia and Macchia, Antonio and Santos, Francisco}, title = {A local maximizer for lattice width of $3 $-dimensional hollow bodies}, journal = {to appear in Algorithmic Discrete Mathematics}, year = {2019}, url = {https://arxiv.org/abs/1907.06199} }

2019

article

Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization

SIAM Journal on Applied Algebra and Geometry

@article{averkov2019optimal, author = {Averkov, Gennadiy}, title = {Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization}, journal = {SIAM Journal on Applied Algebra and Geometry}, publisher = {SIAM}, year = {2019}, volume = {3}, number = {1}, pages = {128--151} }

2019

misc

Second-order cone representable slices of the positive semidefinite cone of size three

@misc{averkov2019second, author = {Averkov, Gennadiy}, title = {Second-order cone representable slices of the positive semidefinite cone of size three}, year = {2019} }

2019

article

A bilinear $\mathcalH_2$ model order reduction approach to linear parameter-varying systems

Advances in Computational Mathematics

@article{benner2019bilinear, author = {Benner, Peter and Cao, Xingang and Schilders, Wil}, title = {A bilinear {$\mathcal{H}_2$} model order reduction approach to linear parameter-varying systems}, journal = {Advances in Computational Mathematics}, year = {2019}, volume = {45}, number = {5-6}, pages = {2241--2271} }

2019

article

Cross-Gramian-based dominant subspaces

Advances in Computational Mathematics

@article{benner2019cross, author = {Benner, Peter and Himpe, Christian}, title = {Cross-Gramian-based dominant subspaces}, journal = {Advances in Computational Mathematics}, year = {2019}, volume = {45}, number = {5-6}, pages = {2533--2553} }

2019

article

Multistationarity in the space of total concentrations for systems that admit a monomial parametrization

Bulletin of mathematical biology

@article{conradi2019, author = {Conradi, Carsten and Iosif, Alexandru and Kahle, Thomas}, title = {Multistationarity in the space of total concentrations for systems that admit a monomial parametrization}, journal = {Bulletin of mathematical biology}, publisher = {Springer}, year = {2019}, volume = {81}, number = {10}, pages = {4174--4209} }

2019

phdthesis

Extended formulations for higher order polytopes in combinatorial optimization

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik

@phdthesis{dissFriesen, author = {Friesen, Mirjam}, title = {Extended formulations for higher order polytopes in combinatorial optimization}, school = {Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik}, year = {2019}, doi = {10.25673/25397} }

2019

phdthesis

Algebraic methods for the study of multistationarity in mass-action networks

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik

@phdthesis{dissIosif, author = {Iosif, Alexandru}, title = {Algebraic methods for the study of multistationarity in mass-action networks}, school = {Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik}, year = {2019}, doi = {10.25673/13949} }

2019

phdthesis

Efficient numerical methods to solve the viscous-plastic sea ice model at high spatial resolutions

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik

@phdthesis{dissMehlmann, author = {Mehlmann, Carolin}, title = {Efficient numerical methods to solve the viscous-plastic sea ice model at high spatial resolutions}, school = {Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik}, year = {2019}, doi = {10.25673/14011} }

2019

phdthesis

Estimating multiple structural breaks in time series - a generalized MOSUM approach based on estimating functions

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik

@phdthesis{dissReckruehm, author = {Reckr{\"u}hm, Kerstin}, title = {Estimating multiple structural breaks in time series - a generalized MOSUM approach based on estimating functions}, school = {Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik}, year = {2019}, doi = {10.25673/13832} }

2019

phdthesis

Sequential change point procedures based on U-statistics and the detection of covariance changes in functional data

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik

@phdthesis{dissStoehr, author = {St{\"o}hr, Christina}, title = {Sequential change point procedures based on U-statistics and the detection of covariance changes in functional data}, school = {Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik}, year = {2019}, doi = {10.25673/13826} }

2019

misc

Stability of tangent bundles on smooth toric Picard-rank-2 varieties and surfaces

@misc{hering2019stability, author = {Hering, Milena and Nill, Benjamin and Süß, Hendrik}, title = {Stability of tangent bundles on smooth toric Picard-rank-2 varieties and surfaces}, year = {2019} }

2019

inproceedings

Gaining or Losing Perspective

World Congress on Global Optimization

@inproceedings{lee2019, author = {Lee, Jon and Skipper, Daphne and Speakman, Emily}, title = {Gaining or Losing Perspective}, booktitle = {World Congress on Global Optimization}, year = {2019}, pages = {387--397}, organization = {Springer}, doi = {10.1007/978-3-030-21803-4_39} }

2019

incollection

On the Loewner Framework for Model Reduction of Burgers' Equation

Active Flow and Combustion Control

@incollection{morAntGH19, author = {Antoulas, A. C. and Gosea, I. V. and Heinkenschloss, M.}, title = {On the {L}oewner Framework for Model Reduction of {B}urgers' Equation}, booktitle = {Active Flow and Combustion Control}, publisher = {Springer}, year = {2019}, editor = {King, R.}, series = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design}, pages = {255--270}, address = {Cham, Switzerland}, doi = {10.1007/978-3-319-98177-2_16} }

2019

incollection

Index-Preserving Model Order Reduction for Differential-Algebraic Systems Arising in Gas Transport Networks

Progress in Industrial Mathematics at ECMI 2018

@incollection{morBanBG19, author = {Banagaaya, N. and Benner, P. and Grundel, S.}, title = {Index-Preserving Model Order Reduction for Differential-Algebraic Systems Arising in Gas Transport Networks}, booktitle = {Progress in Industrial Mathematics at ECMI 2018}, publisher = {Springer}, year = {2019}, pages = {291--297} }

2019

article

Model Reduction for Second-Order Dynamical Systems Revisited

Proc. Appl. Math. Mech.

@article{morBedBDetal19, author = {Beddig, R. S. and Benner, P. and Dorschky, I. and Reis, T. and Schwerdtner, P. and Voigt, M. and Werner, S. W. R.}, title = {Model Reduction for Second-Order Dynamical Systems Revisited}, journal = {Proc. Appl. Math. Mech.}, year = {2019}, volume = {19}, number = {1}, pages = {e201900224}, doi = {10.1002/pamm.201900224} }

2019

misc

Gramians, energy functionals and balanced truncation for linear dynamical systems with quadratic outputs

@misc{morBenGP2019a, author = {Benner, P. and Goyal, P. and {Pontes Duff}, I.}, title = {Gramians, energy functionals and balanced truncation for linear dynamical systems with quadratic outputs}, year = {2019} }

2019

misc

Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction

@misc{morBenGP2019b, author = {Benner, P. and Goyal, P. and {Pontes Duff}, I.}, title = {Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction}, year = {2019} }

2019

misc

SOMDDPA – Second-Order Modally Damped Dominant Pole Algorithm (Version 1.0)

@misc{morBenW19, author = {Benner, P. and Werner, S. W. R.}, title = {{SOMDDPA} -- {S}econd-{O}rder {M}odally {D}amped {D}ominant {P}ole {A}lgorithm (Version 1.0)}, year = {2019}, doi = {10.5281/zenodo.2553902} }

2019

misc

Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 1.0)

@misc{morBenW19a, author = {Benner, P. and Werner, S. W. R.}, title = {Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 1.0)}, year = {2019}, doi = {10.5281/zenodo.2553926} }

2019

misc

MORLAB – Model Order Reduction LABoratory (Version 5.0)

@misc{morBenW19b, author = {Benner, P. and Werner, S. W. R.}, title = {{MORLAB} -- {Model Order Reduction LABoratory} (Version 5.0)}, year = {2019}, note = {see also: \url{http://www.mpi-magdeburg.mpg.de/projects/morlab}}, doi = {10.5281/zenodo.3332716} }

2019

inproceedings

MORLAB – Model Order Reduction LABoratory

Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Systemtheorie und Regelungstechnik', Workshops in Anif, Salzburg, 23.-27.09.2019

@inproceedings{morBenW19c, author = {Benner, P. and Werner, S. W. R.}, title = {{MORLAB} -- {M}odel {O}rder {R}eduction {LAB}oratory}, booktitle = {Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Systemtheorie und Regelungstechnik', Workshops in Anif, Salzburg, 23.-27.09.2019}, year = {2019}, editor = {Meurer, T. and Woittennek, F.}, pages = {337--342}, url = {http://www.control.tf.uni-kiel.de/files/gma/2019/Tagungsband2019.pdf} }

2019

inproceedings

Frequenz- und zeitbeschränktes balanciertes Abschneiden für Systeme zweiter Ordnung

@inproceedings{morBenW19d, author = {Benner, P. and Werner, S. W. R.}, title = {Frequenz- und zeitbeschr{\"a}nktes balanciertes {A}bschneiden f{\"u}r {S}ysteme zweiter {O}rdnung}, booktitle = {Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Systemtheorie und Regelungstechnik', Workshops in Anif, Salzburg, 23.-27.09.2019}, year = {2019}, editor = {Meurer, T. and Woittennek, F.}, pages = {460--474}, url = {http://www.control.tf.uni-kiel.de/files/gma/2019/Tagungsband2019.pdf} }

2019

inproceedings

A two-sided iterative framework for model reduction of linear systems with quadratic output

58th IEEE Conference on Decision and Control (CDC), December 11–13, Nice, France

@inproceedings{morGosA19, author = {Gosea, I. V. and Antoulas, A. C.}, title = {A two-sided iterative framework for model reduction of linear systems with quadratic output}, booktitle = {58th {IEEE} Conference on Decision and Control ({CDC}), December 11--13, Nice, France}, year = {2019}, pages = {7812--7817}, doi = {10.1109/CDC40024.2019.9030025} }

2019

inproceedings

A note on modeling some classes of nonlinear systems from data

15th International Conference on Computational Plasticity (COMPLAS), September 3–5, Barcelona, Spain

@inproceedings{morGosA19a, author = {Gosea, I. V. and Antoulas, A. C.}, title = {A note on modeling some classes of nonlinear systems from data}, booktitle = {15th International Conference on Computational Plasticity ({COMPLAS}), September 3--5, Barcelona, Spain}, year = {2019}, pages = {145--156}, url = {https://congress.cimne.com/complas2019/frontal/Doc/EbookCOMPLAS2019.pdf} }

2019

inproceedings

Model order reduction of bilinear time-delay systems

2019 18th European Control Conference (ECC)

@inproceedings{morGosPBA2019_IVG, author = {Gosea, I. V. and {Pontes Duff}, I. and Benner, P. and Antoulas, A. C.}, title = {Model order reduction of bilinear time-delay systems}, booktitle = {2019 18th European Control Conference (ECC)}, year = {2019}, pages = {2289--2294}, organization = {IEEE} }

2019

article

On Empirical System Gramians

PAMM

@article{morGruHS19, author = {Grundel, S. and Himpe, C. and Saak, J.}, title = {On Empirical System Gramians}, journal = {PAMM}, publisher = {Wiley Online Library}, year = {2019}, volume = {19}, number = {1}, pages = {e201900006} }

2019

article

Balanced Truncation for a Special Class of Bilinear Descriptor Systems

IEEE Control Systems Letters

@article{morPonGB2019a, author = {{Pontes Duff}, I. and Goyal, P. and Benner, P.}, title = {Balanced Truncation for a Special Class of Bilinear Descriptor Systems}, journal = {IEEE Control Systems Letters}, publisher = {IEEE}, year = {2019}, volume = {3}, number = {3}, pages = {535--540} }

2019

misc

Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems

@misc{morPonK2019, author = {{Pontes Duff}, I. and K{\"u}rschner, P.}, title = {Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems}, year = {2019} }

2019

article

A comparison of second-order model order reduction methods for an artificial fishtail

at-Automatisierungstechnik

@article{morSaaSW19, author = {Saak, J. and Siebelts, D. and Werner, S. W. R.}, title = {A comparison of second-order model order reduction methods for an artificial fishtail}, journal = {at-Auto\-mati\-sie\-rungs\-tech\-nik}, year = {2019}, volume = {67}, number = {8}, pages = {648--667}, doi = {10.1515/auto-2019-0027} }

2019

article

Various optimality criteria for the prediction of individual response curves

Statistics and Probability Letters

@article{pru10, author = {Prus, M.}, title = {Various optimality criteria for the prediction of individual response curves}, journal = {Statistics and Probability Letters}, year = {2019}, volume = {146}, pages = {36-41}, note = {} }

2019

article

Optimal designs for minimax-criteria in random coefficient regression models

Statistical Papers

@article{pru6, author = {Prus, M.}, title = {Optimal designs for minimax-criteria in random coefficient regression models}, journal = {Statistical Papers}, year = {2019}, volume = {60}, pages = {465–478}, note = {} }

2019

misc

Experimental Designs for Accelerated Degradation Tests Based on Gamma Process Models

@misc{shat2019experimental, author = {Shat, Helmi and Schwabe, Rainer}, title = {Experimental Designs for Accelerated Degradation Tests Based on Gamma Process Models}, year = {2019} }

2019

article

Computing the volume of the convex hull of the graph of a trilinear monomial using mixed volumes

Discrete Applied Mathematics

@article{speakman2019, author = {Speakman, Emily and Averkov, Gennadiy}, title = {Computing the volume of the convex hull of the graph of a trilinear monomial using mixed volumes}, journal = {Discrete Applied Mathematics}, publisher = {Elsevier}, year = {2019} }

2019

article

Numerical benchmarking of fluid-rigid body interactions

Comput. & Fluids

@article{vWRL+19, author = {von Wahl, H. and Richter, T. and Lehrenfeld, C. and Heiland, J. and Minakowski, P.}, title = {Numerical benchmarking of fluid-rigid body interactions}, journal = {Comput. {\&} Fluids}, publisher = {Elsevier {BV}}, year = {2019}, volume = {193}, doi = {10.1016/j.compfluid.2019.104290} }

2019

misc

Numerical benchmarking of fluid-rigid body interactions

@misc{vWRL+19a, author = {von Wahl, H. and Richter, T. and Lehrenfeld, C. and Heiland, J. and Minakowski, P.}, title = {Numerical benchmarking of fluid-rigid body interactions}, year = {2019}, address = {Zenodo repository}, doi = {10.5281/zenodo.3253455} }

2019

article

Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates

Advanced Modeling and Simulation in Engineering Sciences

@article{yue2019reduced, author = {Yue, Yao and Feng, Lihong and Benner, Peter}, title = {Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates}, journal = {Advanced Modeling and Simulation in Engineering Sciences}, year = {2019}, volume = {6}, number = {1}, pages = {10} }

2018

incollection

A Direct Index 1 DAE Model of Gas Networks

Reduced-Order Modeling (ROM) for Simulation and Optimization

@incollection{BenBG18, author = {Benner, P. and Braukm{\"u}ller, M. and Grundel, S.}, title = {A Direct Index 1 DAE Model of Gas Networks}, booktitle = {Reduced-Order Modeling (ROM) for Simulation and Optimization}, publisher = {Springer}, year = {2018}, pages = {99--119} }

2018

inproceedings

Multi-Mode Learning Supported Model Predictive Control with Guarantees

Proceedings of 6th Nonlinear Model Predictive Control Conference (NMPC)

@inproceedings{Bethge2018, author = {Bethge, Johanna and Morabito, Bruno and Matschek, Janine and Findeisen, Rolf}, title = {Multi-Mode Learning Supported Model Predictive Control with Guarantees}, booktitle = {Proceedings of 6th Nonlinear Model Predictive Control Conference (NMPC)}, year = {2018}, volume = {}, number = {}, pages = {616--621}, address = {Madison, United States}, doi = {10.1016/j.ifacol.2018.11.037} }

2018

inproceedings

An Algorithm for Mixed-Integer Optimal Control of Solar Thermal Climate Systems with MPC-capable runtime

Proceedings of the European Control Conference (ECC)

@inproceedings{Buerger2018a, author = {Buerger, A. and Zeile, C. and Altmann-Dieses, A. and Sager, S. and Diehl, M.}, title = {An Algorithm for Mixed-Integer Optimal Control of Solar Thermal Climate Systems with MPC-capable runtime}, booktitle = {Proceedings of the European Control Conference (ECC)}, year = {2018}, url = {https://ieeexplore.ieee.org/document/8550424}, doi = {10.23919/ECC.2018.8550424} }

2018

article

Finite volume approximations of the Euler system with variable congestion

Computers & Fluids

@article{DeMiNaZa2018, author = {Degond, Pierre and Minakowski, Piotr and Navoret, Laurent and Zatorska, Ewelina}, title = {Finite volume approximations of the Euler system with variable congestion}, journal = {Computers \& Fluids}, year = {2018}, volume = {169}, pages = {23 - 39}, note = {Recent progress in nonlinear numerical methods for time-dependent flow \& transport problems}, doi = {10.1016/j.compfluid.2017.09.007} }

2018

article

Transport of congestion in two-phase compressible/incompressible flows

Nonlinear Analysis: Real World Applications

@article{DeMiZa2018, author = {Degond, Pierre and Minakowski, Piotr and Zatorska, Ewelina}, title = {Transport of congestion in two-phase compressible/incompressible flows}, journal = {Nonlinear Analysis: Real World Applications}, year = {2018}, volume = {42}, pages = {485 - 510}, doi = {10.1016/j.nonrwa.2018.02.001} }

2018

article

Computational Approaches for Mixed Integer Optimal Control Problems with Indicator Constraints

Vietnam Journal of Mathematics

@article{Jung2018, author = {Jung, M. N. and Kirches, C. and Sager, S. and Sass, S.}, title = {Computational Approaches for Mixed Integer Optimal Control Problems with Indicator Constraints}, journal = {Vietnam Journal of Mathematics}, year = {2018}, volume = {46}, pages = {1023--1051}, doi = {10.1007/s10013-018-0313-z} }

2018

article

Data-driven approximation methods applied to non-rational functions

PAMM

@article{KGApamm2018Nonrational, author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.}, title = {Data-driven approximation methods applied to non-rational functions}, journal = {PAMM}, year = {2018}, volume = {18}, number = {1}, pages = {e201800368}, doi = {10.1002/pamm.201800368} }

2018

inproceedings

Combined Predictive Path Following and Admittance Control

Proceedings of American Control Conference (ACC)

@inproceedings{Kazim2018, author = {Kazim, Khalid J. and Bethge, Johanna and Matschek, Janine and Findeisen, Rolf}, title = {Combined Predictive Path Following and Admittance Control}, booktitle = {Proceedings of American Control Conference (ACC)}, year = {2018}, number = {}, pages = {3153--3158}, address = {Milwaukee, United States}, doi = {10.23919/ACC.2018.8431272} }

2018

article

Lattice Simplices with a Fixed Positive Number of Interior Lattice Points: A Nearly Optimal Volume Bound

International Mathematics Research Notices

@article{Kruempelmann2018, author = {Averkov, Gennadiy and Krümpelmann, Jan and Nill, Benjamin}, title = {Lattice Simplices with a Fixed Positive Number of Interior Lattice Points: A Nearly Optimal Volume Bound}, journal = {International Mathematics Research Notices}, year = {2018}, doi = {10.1093/imrn/rny130} }

2018

article

Wasserstein and total variation distance between marginals of Lévy processes

Electronic Journal of Statistics

@article{MR, author = {Mariucci, E. and Reiß, M.}, title = {Wasserstein and total variation distance between marginals of {L}évy processes}, journal = {Electronic Journal of Statistics}, year = {2018}, volume = {12}, number = {2}, pages = {2482--2514} }

2018

inproceedings

Synchronization and aggregation of nonlinear power systems with consideration of bus network structures

2018 European Control Conference (ECC)

@inproceedings{MliICetal18, author = {Mlinari{\'c}, P. and Ishizaki, T. and Chakrabortty, A. and Grundel, S. and Benner, P. and Imura, J.}, title = {Synchronization and aggregation of nonlinear power systems with consideration of bus network structures}, booktitle = {2018 European Control Conference (ECC)}, year = {2018}, pages = {2266--2271}, organization = {IEEE} }

2018

article

Efficient computation of time-periodic solutions of partial differential equations

Viet. J. Math.

@article{RichterWollner2017, author = {Richter, T. and Wollner, W.}, title = {Efficient computation of time-periodic solutions of partial differential equations}, journal = {Viet. J. Math.}, year = {2018}, volume = {46}, number = {4}, pages = {949-966}, doi = {10.1007/s10013-018-0314-y} }

2018

article

Staircase compatibility and its applications in scheduling and piecewise linearization

Discrete Optimization

@article{SCC, author = {Bärmann, Andreas and Gellermann, Thorsten and Merkert, Maximilian and Schneider, Oskar}, title = {Staircase compatibility and its applications in scheduling and piecewise linearization}, journal = {Discrete Optimization}, year = {2018}, volume = {29}, pages = {111-132}, doi = {10.1016/j.disopt.2018.04.001} }

2018

article

Mathematical Modeling of RBC Count Dynamics after Blood Loss

Processes

@article{Tetschke2018, author = {Tetschke, M. and Lilienthal, P. and Pottgiesser, T. and Fischer, T. and Schalk, E. and Sager, S.}, title = {Mathematical Modeling of {RBC} Count Dynamics after Blood Loss}, journal = {Processes}, year = {2018}, volume = {6}, number = {9}, pages = {157--185}, doi = {10.3390/pr6090157} }

2018

article

Linear Low-Rank Parameter-Dependent Fluid-Structure Interaction Discretization in 2D

PAMM

@article{WeiBR18, author = {Weinhandl, R. and Benner, P. and Richter, T.}, title = {Linear Low-Rank Parameter-Dependent Fluid-Structure Interaction Discretization in 2D}, journal = {PAMM}, year = {2018}, volume = {18}, number = {1}, pages = {e201800178} }

2018

article

Combinatorial Integral Approximation Decompositions for Mixed-Integer Optimal Control

Preprint (Optimization Online)

@article{Zeile2018, author = {Zeile, C. and Weber, T. and Sager, S.}, title = {Combinatorial Integral Approximation Decompositions for Mixed-Integer Optimal Control}, journal = {Preprint (Optimization Online)}, year = {2018}, url = {http://www.optimization-online.org/DB_HTML/2018/02/6472.html} }

2018

article

Model reduction by iterative error system approximation

Mathematical and Computer Modelling of Dynamical Systems

@article{antoulas2018model, author = {Antoulas, Athanasios C and Benner, Peter and Feng, Lihong}, title = {Model reduction by iterative error system approximation}, journal = {Mathematical and Computer Modelling of Dynamical Systems}, year = {2018}, volume = {24}, number = {2}, pages = {103--118} }

2018

article

Approximation of corner polyhedra with families of intersection cuts

SIAM Journal on Optimization

@article{averkov2018approximation, author = {Averkov, Gennadiy and Basu, Amitabh and Paat, Joseph}, title = {Approximation of corner polyhedra with families of intersection cuts}, journal = {SIAM Journal on Optimization}, publisher = {SIAM}, year = {2018}, volume = {28}, number = {1}, pages = {904--929} }

2018

misc

Difference between families of weakly and strongly maximal integral lattice-free polytopes

@misc{averkov2018difference, author = {Averkov, Gennadiy}, title = {Difference between families of weakly and strongly maximal integral lattice-free polytopes}, year = {2018}, note = {to appear in the proceedings of the conference ``Interactions with lattice polytopes''} }

2018

article

Maximum semidefinite and linear extension complexity of families of polytopes

Mathematical Programming

@article{averkov2018maximum, author = {Averkov, Gennadiy and Kaibel, Volker and Weltge, Stefan}, title = {Maximum semidefinite and linear extension complexity of families of polytopes}, journal = {Mathematical Programming}, publisher = {Springer}, year = {2018}, volume = {167}, number = {2}, pages = {381--394} }

2018

article

An index-aware parametric model order reduction method for parameterized quadratic differential–algebraic equations

Applied Mathematics and Computation

@article{banagaaya2018index, author = {Banagaaya, Nicodemus and Benner, Peter and Feng, Lihong and Meuris, Peter and Schoenmaker, Wim}, title = {An index-aware parametric model order reduction method for parameterized quadratic differential--algebraic equations}, journal = {Applied Mathematics and Computation}, year = {2018}, volume = {319}, pages = {409--424} }

2018

article

Editorial of the Special issue ''7th Workshop on Matrix Equations and Tensor Techniques''

Numerical Linear Algebra with Applications

@article{benner20187th, author = {Benner, Peter and Fa{\ss}bender, Heike and Grasedyck, Lars and Kressner, Daniel and Meini, Beatrice and Simoncini, Valeria}, title = {Editorial of the Special issue ''7th Workshop on Matrix Equations and Tensor Techniques''}, journal = {Numerical Linear Algebra with Applications}, year = {2018}, pages = {e2223} }

2018

incollection

An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier–Stokes Equations

Reduced-Order Modeling (ROM) for Simulation and Optimization

@incollection{benner2018iterative, author = {Benner, Peter and Goyal, Pawan}, title = {An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier--Stokes Equations}, booktitle = {Reduced-Order Modeling (ROM) for Simulation and Optimization}, publisher = {Springer, Cham}, year = {2018}, pages = {1--19} }

2018

inproceedings

Low-order control design using a reduced-order model with a stability constraint on the full-order model

2018 IEEE Conference on Decision and Control (CDC)

@inproceedings{benner2018lowA, author = {Benner, Peter and Mitchell, Tim and Overton, Michael L}, title = {Low-order control design using a reduced-order model with a stability constraint on the full-order model}, booktitle = {2018 IEEE Conference on Decision and Control (CDC)}, year = {2018}, pages = {3000--3005}, organization = {IEEE} }

2018

article

Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems

SIAM/ASA Journal on Uncertainty Quantification

@article{benner2018lowB, author = {Benner, Peter and Qiu, Yue and Stoll, Martin}, title = {Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems}, journal = {SIAM/ASA Journal on Uncertainty Quantification}, year = {2018}, volume = {6}, number = {2}, pages = {965--989} }

2018

article

$\mathcalH_2$-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems

SIAM Journal on Matrix Analysis and Applications

@article{benner2018mathcalh_2, author = {Benner, Peter and Goyal, Pawan and Gugercin, Serkan}, title = {{$\mathcal{H}_2$}-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems}, journal = {SIAM Journal on Matrix Analysis and Applications}, year = {2018}, volume = {39}, number = {2}, pages = {983--1032} }

2018

article

Model Rreduction of Complex Dynamical Systems. Editorial of the Special issue related to MODRED-2017

Advances in Computational Mathematics

@article{benner2018model, author = {Benner, Peter and Fa{\ss}bender, Heike and Hinze, Michael and Stykel, Tatjana and Zimmermann, Ralf}, title = {Model Rreduction of Complex Dynamical Systems. Editorial of the Special issue related to MODRED-2017}, journal = {Advances in Computational Mathematics}, year = {2018}, volume = {44}, pages = {1687--1691} }

2018

article

Range-separated tensor format for many-particle modeling

SIAM Journal on Scientific Computing

@article{benner2018range, author = {Benner, Peter and Khoromskaia, Venera and Khoromskij, Boris N}, title = {Range-separated tensor format for many-particle modeling}, journal = {SIAM Journal on Scientific Computing}, year = {2018}, volume = {40}, number = {2}, pages = {A1034--A1062} }

2018

article

On reduced input-output dynamic mode decomposition

Advances in Computational Mathematics

@article{benner2018reduced, author = {Benner, Peter and Himpe, Christian and Mitchell, Tim}, title = {On reduced input-output dynamic mode decomposition}, journal = {Advances in Computational Mathematics}, year = {2018}, volume = {44}, number = {6}, pages = {1751--1768} }

2018

article

Computing optimal experimental designs with respect to a compound Bayes Risk criterion

Statistics and Probability Letters

@article{harm, author = {Harman, R. and Prus, M.}, title = {{Computing optimal experimental designs with respect to a compound Bayes Risk criterion}}, journal = {Statistics and Probability Letters}, year = {2018}, volume = {137}, pages = {135-141} }

2018

article

Algorithmic and modeling insights via volumetric comparison of polyhedral relaxations

Mathematical Programming

@article{lee2018, author = {Lee, Jon and Skipper, Daphne and Speakman, Emily}, title = {Algorithmic and modeling insights via volumetric comparison of polyhedral relaxations}, journal = {Mathematical Programming}, publisher = {Springer}, year = {2018}, volume = {170}, number = {1}, pages = {121--140} }

2018

inproceedings

Parametric Model Order Reduction for Gas Flow Models

ScienceOpen Posters (MoRePaS 2018 - Model Reduction of Parametrized Systems IV)

@inproceedings{morBenGH18, author = {Benner, P. and Grundel, S. and Himpe, C.}, title = {Parametric Model Order Reduction for Gas Flow Models}, booktitle = {ScienceOpen Posters (MoRePaS 2018 - Model Reduction of Parametrized Systems IV)}, year = {2018}, doi = {10.14293/P2199-8442.1.SOP-MATH.EJOCET.v1} }

2018

article

Model Reduction of Descriptor Systems with the MORLAB Toolbox

IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21–23 February 2018

@article{morBenW18, author = {Benner, P. and Werner, S. W. R.}, title = {Model Reduction of Descriptor Systems with the {MORLAB} Toolbox}, journal = {{IFAC-PapersOnLine} 9th Vienna International Conference on Mathematical Modelling {MATHMOD} 2018, Vienna, Austria, 21--23 February 2018}, year = {2018}, volume = {51}, number = {2}, pages = {547--552}, doi = {10.1016/j.ifacol.2018.03.092} }

2018

article

Balancing Related Model Reduction with the MORLAB Toolbox

Proc. Appl. Math. Mech.

@article{morBenW18a, author = {Benner, P. and Werner, S. W. R.}, title = {Balancing Related Model Reduction with the {MORLAB} Toolbox}, journal = {Proc. Appl. Math. Mech.}, year = {2018}, volume = {18}, number = {1}, pages = {e201800083}, doi = {10.1002/pamm.201800083} }

2018

misc

MORLAB – Model Order Reduction LABoratory (Version 4.0)

@misc{morBenW18b, author = {Benner, P. and Werner, S. W. R.}, title = {{MORLAB} -- {Model Order Reduction LABoratory} (Version 4.0)}, year = {2018}, note = {see also: \url{http://www.mpi-magdeburg.mpg.de/projects/morlab}}, doi = {10.5281/zenodo.1574083} }

2018

article

On branching-point selection for triple products in spatial branch-and-bound: the hull relaxation

Journal of Global Optimization

@article{speakman2018, author = {Speakman, Emily and Lee, Jon}, title = {On branching-point selection for triple products in spatial branch-and-bound: the hull relaxation}, journal = {Journal of Global Optimization}, year = {2018}, pages = {129-153}, doi = {10.1007/s10898-018-0620-7} }

2018

article

Smooth polytopes with negative Ehrhart coefficients.

J. Comb. Theory, Ser. A

@article{zbMATH06933883, author = {{Castillo}, Federico and {Liu}, Fu and {Nill}, Benjamin and {Paffenholz}, Andreas}, title = {{Smooth polytopes with negative Ehrhart coefficients.}}, journal = {{J. Comb. Theory, Ser. A}}, publisher = {Elsevier (Academic Press), San Diego, CA}, year = {2018}, volume = {160}, pages = {316--331}, doi = {10.1016/j.jcta.2018.06.014} }

2017

article

$D$-optimal design for a model with interaction between a qualitative and a quantitative factor in the presence of random block effects

J. Stat. Theory Pract.

@article{MR3683776, author = {Cabrera, Jes\'{u}s Alonso and Schwabe, Rainer}, title = {{$D$}-optimal design for a model with interaction between a qualitative and a quantitative factor in the presence of random block effects}, journal = {J. Stat. Theory Pract.}, year = {2017}, volume = {11}, number = {4}, pages = {759--770}, doi = {10.1080/15598608.2017.1321070} }

2017

inproceedings

Force Feedback and Path Following Using Predictive Control: Concept and Application to a Lightweight Robot

Proceedings of 19th IFAC World Congress Toulouse

@inproceedings{Matschek2017a, author = {Matschek, Janine and Bethge, Johanna and Zometa, Pablo and Findeisen, Rolf}, title = {Force Feedback and Path Following Using Predictive Control: Concept and Application to a Lightweight Robot}, booktitle = {Proceedings of 19th IFAC World Congress Toulouse}, year = {2017}, pages = {10243-10248}, address = {Toulouse, France}, doi = {10.1016/j.ifacol.2017.08.898} }

2017

inproceedings

The Influence of Right Ventricular Afterload in Cardiac Resynchronization Therapy: A CircAdapt Study

Computing in Cardiology 2017 -PapersOnLine Proceedings

@inproceedings{Zeile2017, author = {Zeile, C. and Rauwolf, T. and Schmeisser, A. and Weber, T. and Sager, S.}, title = {The Influence of Right Ventricular Afterload in Cardiac Resynchronization Therapy: A CircAdapt Study}, journal = {Computing in Cardiology 2017 -PapersOnLine Proceedings }, year = {2017}, url = {http://www.cinc.org/archives/2017/pdf/215-232.pdf}, doi = {10.22489/CinC.2017.215-232} }

2017

article

Large-Scale Computation of $\mathcalL_ınfty$-Norms by a Greedy Subspace Method

SIAM Journal on Matrix Analysis and Applications

@article{aliyev2017large, author = {Aliyev, Nicat and Benner, Peter and Mengi, Emre and Schwerdtner, Paul and Voigt, Matthias}, title = {Large-Scale Computation of {$\mathcal{L}_\infty$}-Norms by a Greedy Subspace Method}, journal = {SIAM Journal on Matrix Analysis and Applications}, year = {2017}, volume = {38}, number = {4}, pages = {1496--1516} }

2017

article

Notions of maximality for integral lattice-free polyhedra: the case of dimension three

Mathematics of Operations Research

@article{averkov2017notions, author = {Averkov, Gennadiy and Kr{\"u}mpelmann, Jan and Weltge, Stefan}, title = {Notions of maximality for integral lattice-free polyhedra: the case of dimension three}, journal = {Mathematics of Operations Research}, publisher = {INFORMS}, year = {2017}, volume = {42}, number = {4}, pages = {1035--1062} }

2017

article

Tight bounds on discrete quantitative Helly numbers

Advances in Applied Mathematics

@article{averkov2017tight, author = {Averkov, Gennadiy and Merino, Bernardo Gonz{\'a}lez and Paschke, Ingo and Schymura, Matthias and Weltge, Stefan}, title = {Tight bounds on discrete quantitative {H}elly numbers}, journal = {Advances in Applied Mathematics}, publisher = {Elsevier}, year = {2017}, volume = {89}, pages = {76--101} }

2017

misc

Spanning Lattice Polytopes and the Uniform Position Principle

@misc{hofscheier2017spanning, author = {Hofscheier, Johannes and Katthän, Lukas and Nill, Benjamin}, title = {Spanning Lattice Polytopes and the Uniform Position Principle}, year = {2017} }

2017

misc

Case study: Approximations of the Bessel Function

@misc{karachalios2017case, author = {Karachalios, D. S. and Gosea, I. V. and Zhang, Q. and Antoulas, A. C.}, title = {Case study: Approximations of the Bessel Function}, year = {2017} }

2017

article

A finite element multigrid-framework to solve the sea ice momentum equation

Journal of Computational Physics

@article{mehlmann2017, author = {Mehlmann, C. and Richter, Thomas}, title = {A finite element multigrid-framework to solve the sea ice momentum equation}, journal = {Journal of Computational Physics}, publisher = {Elsevier}, year = {2017}, volume = {348}, pages = {847--861} }

2017

article

A modified global Newton solver for viscous-plastic sea ice models

Ocean Modelling

@article{mehlmann2017a, author = {Mehlmann, C. and Richter, T.}, title = {A modified global Newton solver for viscous-plastic sea ice models}, journal = {Ocean Modelling}, publisher = {Elsevier}, year = {2017}, volume = {116}, pages = {96--107} }

2017

article

On the transformation formulas of the Hankel-norm approximation

Proc. Appl. Math. Mech.

@article{morBenW17, author = {Benner, P. and Werner, S. W. R.}, title = {On the transformation formulas of the {H}ankel-norm approximation}, journal = {Proc. Appl. Math. Mech.}, year = {2017}, volume = {17}, number = {1}, pages = {823--824}, doi = {10.1002/pamm.201710379} }

2017

misc

MORLAB-3.0 – Model Order Reduction Laboratory

@misc{morBenW17a, author = {Benner, P. and Werner, S. W. R.}, title = {{MORLAB}-3.0 -- Model Order Reduction Laboratory}, year = {2017}, note = {see also: \url{http://www.mpi-magdeburg.mpg.de/projects/morlab}}, doi = {10.5281/zenodo.842659} }

2017

inproceedings

MORLAB - Modellreduktion in MATLAB

Tagungsband GMA-FA 1.30 'Modellierung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Theoretische Verfahren der Regelungstechnik', Workshop in Anif, Salzburg, 18.-22.09.2017

@inproceedings{morBenW17b, author = {Benner, P. and Werner, S. W. R.}, title = {{MORLAB} - {M}odellreduktion in {MATLAB}}, booktitle = {Tagungsband GMA-FA 1.30 'Modellierung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Theoretische Verfahren der Regelungstechnik', Workshop in Anif, Salzburg, 18.-22.09.2017}, year = {2017}, editor = {Meurer, T. and Woittennek, F.}, pages = {508--517}, url = {http://www.control.tf.uni-kiel.de/files/gma/2017/Tagungsband2017.pdf} }

2017

inproceedings

An accelerated Newton method for nonlinear materials in structure mechanics and fluid mechanics

European Conference on Numerical Mathematics and Advanced Applications

@inproceedings{richter2017, author = {Richter, Thomas and Mehlmann, Carolin}, title = {An accelerated Newton method for nonlinear materials in structure mechanics and fluid mechanics}, booktitle = {European Conference on Numerical Mathematics and Advanced Applications}, year = {2017}, pages = {345--353}, organization = {Springer} }