Bernd Sturmfels

According to our database, Bernd Sturmfels authored at least 151 papers between 1986 and 2026.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2026

Squared Linear Models.

Hannah Friedman, Bernd Sturmfels, Maximilian Wiesmann

SIAM J. Appl. Algebra Geom., 2026

2025

Maxout Polytopes.

Andrei Balakin, Shelby Cox, Georg Loho, Bernd Sturmfels

CoRR, September, 2025

Algebraic Varieties in Quantum Chemistry.

Fabian M. Faulstich, Bernd Sturmfels, Svala Sverrisdóttir

Found. Comput. Math., August, 2025

Spinor-Helicity Varieties.

Yassine El Maazouz, Anaëlle Pfister, Bernd Sturmfels

SIAM J. Appl. Algebra Geom., 2025

The Chow-Lam form.

Elizabeth Pratt, Bernd Sturmfels

J. Symb. Comput., 2025

Coupled cluster degree of the Grassmannian.

Viktoriia Borovik, Bernd Sturmfels, Svala Sverrisdóttir

J. Symb. Comput., 2025

2024

Self-Dual Matroids from Canonical Curves.

Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels, Raluca Vlad

Exp. Math., October, 2024

Recovery of Plane Curves from Branch Points.

Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz, Bernd Sturmfels

Discret. Comput. Geom., September, 2024

Recovery from Power Sums.

Hana Melánová, Bernd Sturmfels, Rosa Winter

Exp. Math., April, 2024

Toric geometry of entropic regularization.

Bernd Sturmfels, Simon Telen, François-Xavier Vialard, Max von Renesse

J. Symb. Comput., 2024

Computing Arrangements of Hypersurfaces.

Paul Breiding, Bernd Sturmfels, Kexin Wang

CoRR, 2024

2023

Bayesian Integrals on Toric Varieties.

Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels, Simon Telen

SIAM J. Appl. Algebra Geom., March, 2023

Quantum Correlations in the Minimal Scenario.

Thinh P. Le, Chiara Meroni, Bernd Sturmfels, Reinhard F. Werner, Timo Ziegler

Quantum, March, 2023

KP solitons from tropical limits.

Daniele Agostini, Claudia Fevola, Yelena Mandelshtam, Bernd Sturmfels

J. Symb. Comput., 2023

Taylor Polynomials of Rational Functions.

Aldo Conca, Simone Naldi, Giorgio Ottaviani, Bernd Sturmfels

CoRR, 2023

Moment Varieties for Mixtures of Products.

Yulia Alexandr, Joe Kileel, Bernd Sturmfels

Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023

2022

Voronoi cells of varieties.

Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels, Madeleine Weinstein

J. Symb. Comput., 2022

Publisher Correction: Geometry of Log-Concave Density Estimation.

Elina Robeva, Bernd Sturmfels, Caroline Uhler

Discret. Comput. Geom., 2022

Four-Dimensional Lie Algebras Revisited.

Laurent Manivel, Bernd Sturmfels, Svala Sverrisdóttir

CoRR, 2022

Geometry of Dependency Equilibria.

Irem Portakal, Bernd Sturmfels

CoRR, 2022

Marginal Independence Models.

Tobias Boege, Sonja Petrovic, Bernd Sturmfels

Proceedings of the ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Villeneuve-d'Ascq, France, July 4, 2022

2021

Wasserstein distance to independence models.

Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello

J. Symb. Comput., 2021

Primary Ideals and Their Differential Equations.

Yairon Cid-Ruiz, Roser Homs, Bernd Sturmfels

Found. Comput. Math., 2021

Correction to: The Schläfli Fan.

Michael Joswig, Marta Panizzut, Bernd Sturmfels

Discret. Comput. Geom., 2021

Beyond Linear Algebra.

Bernd Sturmfels

CoRR, 2021

Linear PDE with Constant Coefficients.

Rida Ait El Manssour, Marc Härkönen, Bernd Sturmfels

CoRR, 2021

2020

The geometry of SDP-exactness in quadratic optimization.

Diego Cifuentes, Corey Harris, Bernd Sturmfels

Math. Program., 2020

Brownian motion tree models are toric.

Bernd Sturmfels, Caroline Uhler, Piotr Zwiernik

Kybernetika, 2020

The Schläfli Fan.

Michael Joswig, Marta Panizzut, Bernd Sturmfels

Discret. Comput. Geom., 2020

Tangent Quadrics in Real 3-Space.

Taylor Brysiewicz, Claudia Fevola, Bernd Sturmfels

CoRR, 2020

Bad Projections of the PSD Cone.

Yuhan Jiang, Bernd Sturmfels

CoRR, 2020

2019

Learning Paths from Signature Tensors.

Max Pfeffer, Anna Seigal, Bernd Sturmfels

SIAM J. Matrix Anal. Appl., 2019

Schottky algorithms: Classical meets tropical.

Lynn Chua, Mario Kummer, Bernd Sturmfels

Math. Comput., 2019

The Geometry of Gaussoids.

Tobias Boege, Alessio D'Alì, Thomas Kahle, Bernd Sturmfels

Found. Comput. Math., 2019

Sixty-Four Curves of Degree Six.

Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann, Mahsa Sayyary Namin, Bernd Sturmfels

Exp. Math., 2019

Geometry of Log-Concave Density Estimation.

Elina Robeva, Bernd Sturmfels, Caroline Uhler

Discret. Comput. Geom., 2019

Algebraic Analysis of Rotation Data.

Michael F. Adamer, András C. Lörincz, Anna-Laura Sattelberger, Bernd Sturmfels

CoRR, 2019

D-Modules and Holonomic Functions.

Anna-Laura Sattelberger, Bernd Sturmfels

CoRR, 2019

Optimal Transport to a Variety.

Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

2018

Distortion Varieties.

Joe Kileel, Zuzana Kukelova, Tomás Pajdla, Bernd Sturmfels

Found. Comput. Math., 2018

Real Space Sextics and their Tritangents.

Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin, Bernd Sturmfels

Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

2017

Convexity in Tree Spaces.

Bo Lin, Bernd Sturmfels, Xiaoxian Tang, Ruriko Yoshida

SIAM J. Discret. Math., 2017

Message from the Editor-in-Chief.

Bernd Sturmfels

SIAM J. Appl. Algebra Geom., 2017

The Hurwitz form of a projective variety.

Bernd Sturmfels

J. Symb. Comput., 2017

On the Existence of Epipolar Matrices.

Sameer Agarwal, Hon-leung Lee, Bernd Sturmfels, Rekha R. Thomas

Int. J. Comput. Vis., 2017

Changing Views on Curves and Surfaces.

Kathlén Kohn, Bernd Sturmfels, Matthew Trager

CoRR, 2017

Congruences and concurrent lines in multi-view geometry.

Jean Ponce, Bernd Sturmfels, Matthew Trager

Adv. Appl. Math., 2017

General Models for Rational Cameras and the Case of Two-Slit Projections.

Matthew Trager, Bernd Sturmfels, John F. Canny, Martial Hebert, Jean Ponce

Proceedings of the 2017 IEEE Conference on Computer Vision and Pattern Recognition, 2017

A Clever Elimination Strategy for Efficient Minimal Solvers.

Zuzana Kukelova, Joe Kileel, Bernd Sturmfels, Tomás Pajdla

Proceedings of the 2017 IEEE Conference on Computer Vision and Pattern Recognition, 2017

2016

Symmetric matrices, Catalan paths, and correlations.

Bernd Sturmfels, Emmanuel Tsukerman, Lauren K. Williams

J. Comb. Theory A, 2016

Rigid multiview varieties.

Michael Joswig, Joe Kileel, Bernd Sturmfels, André Wagner

Int. J. Algebra Comput., 2016

The Euclidean Distance Degree of an Algebraic Variety.

Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas

Found. Comput. Math., 2016

Real Rank Two Geometry.

Anna Seigal, Bernd Sturmfels

CoRR, 2016

Nearest Points on Toric Varieties.

Martin Helmer, Bernd Sturmfels

CoRR, 2016

Decomposing tensors into frames.

Luke Oeding, Elina Robeva, Bernd Sturmfels

Adv. Appl. Math., 2016

2015

Cayley-Bacharach Formulas.

Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels

Am. Math. Mon., 2015

Generic Spectrahedral Shadows.

Rainer Sinn, Bernd Sturmfels

SIAM J. Optim., 2015

Quartic spectrahedra.

John Christian Ottem, Kristian Ranestad, Bernd Sturmfels, Cynthia Vinzant

Math. Program., 2015

Duality of Multiple Root Loci.

Hwangrae Lee, Bernd Sturmfels

CoRR, 2015

Computing the Chow Variety of Quadratic Space Curves.

Peter Bürgisser, Kathlén Kohn, Pierre Lairez, Bernd Sturmfels

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental.

Carlos Améndola, Mathias Drton, Bernd Sturmfels

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

Introduction to Tropical Geometry.

Diane Maclagan, Bernd Sturmfels

Graduate studies in mathematics 161, American Mathematical Society, ISBN: 978-0-8218-5198-2, 2015

2014

Exact Solutions in Structured Low-Rank Approximation.

Giorgio Ottaviani, Pierre-Jean Spaenlehauer, Bernd Sturmfels

SIAM J. Matrix Anal. Appl., 2014

Tropicalization of Classical Moduli Spaces.

Qingchun Ren, Steven V. Sam, Bernd Sturmfels

Math. Comput. Sci., 2014

Hypersurfaces and Their Singularities in Partial Correlation Testing.

Shaowei Lin, Caroline Uhler, Bernd Sturmfels, Peter Bühlmann

Found. Comput. Math., 2014

Certifying the Existence of Epipolar Matrices.

Sameer Agarwal, Hon-leung Lee, Bernd Sturmfels, Rekha R. Thomas

CoRR, 2014

The euclidean distance degree.

Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas

Proceedings of the Symbolic-Numeric Computation 2014, 2014

Maximum likelihood for matrices with rank constraints.

Bernd Sturmfels

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

2013

Capacity Pre-Log of Noncoherent SIMO Channels Via Hironaka's Theorem.

Veniamin I. Morgenshtern, Erwin Riegler, Wei Yang, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels, Helmut Bölcskei

IEEE Trans. Inf. Theory, 2013

The Universal Kummer Threefold.

Qingchun Ren, Steven V. Sam, Gus Schrader, Bernd Sturmfels

Exp. Math., 2013

Algebraic Methods for Structured Low-Rank Approximation.

Giorgio Ottaviani, Pierre-Jean Spaenlehauer, Bernd Sturmfels

CoRR, 2013

2012

The Central Curve in Linear Programming.

Jesús A. De Loera, Bernd Sturmfels, Cynthia Vinzant

Found. Comput. Math., 2012

Monomials, Binomials, and Riemann-Roch

Madhusudan Manjunath, Bernd Sturmfels

CoRR, 2012

2011

Quartic curves and their bitangents.

Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant

J. Symb. Comput., 2011

Mixed Discriminants

Eduardo Cattani, María Angélica Cueto, Alicia Dickenstein, Sandra Di Rocco, Bernd Sturmfels

CoRR, 2011

A Hilbert Scheme in Computer Vision

Chris Aholt, Bernd Sturmfels, Rekha R. Thomas

CoRR, 2011

Commutative Algebra of Statistical Ranking

Bernd Sturmfels, Volkmar Welker

CoRR, 2011

Combinatorial Types of Tropical Eigenvectors.

Bernd Sturmfels, Ngoc Mai Tran

CoRR, 2011

Noncoherent SIMO pre-log via resolution of singularities.

Erwin Riegler, Veniamin I. Morgenshtern, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels, Helmut Bölcskei

Proceedings of the 2011 IEEE International Symposium on Information Theory Proceedings, 2011

2010

The algebraic degree of semidefinite programming.

Jiawang Nie, Kristian Ranestad, Bernd Sturmfels

Math. Program., 2010

Computing Linear Matrix Representations of Helton-Vinnikov Curves

Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant

CoRR, 2010

The Convex Hull of a Variety

Kristian Ranestad, Bernd Sturmfels

CoRR, 2010

2009

Computer Algebra in Systems Biology.

Reinhard C. Laubenbacher, Bernd Sturmfels

Am. Math. Mon., 2009

Matrix Cubes Parameterized by Eigenvalues.

Jiawang Nie, Bernd Sturmfels

SIAM J. Matrix Anal. Appl., 2009

Convex Rank Tests and Semigraphoids.

Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand

SIAM J. Discret. Math., 2009

Toric dynamical systems.

Gheorghe Craciun, Alicia Dickenstein, Anne Shiu, Bernd Sturmfels

J. Symb. Comput., 2009

Marginal Likelihood Integrals for Mixtures of Independence Models.

Shaowei Lin, Bernd Sturmfels, Zhiqiang Xu

J. Mach. Learn. Res., 2009

Computeralgebra in der Systembiologie.

Reinhard C. Laubenbacher, Bernd Sturmfels

Inform. Spektrum, 2009

Guest Editors' Foreword.

Peter Gritzmann, Bernd Sturmfels, Günter M. Ziegler

Discret. Comput. Geom., 2009

On the convex hull of a space curve.

Kristian Ranestad, Bernd Sturmfels

CoRR, 2009

How to Draw Tropical Planes.

Sven Herrmann, Anders Nedergaard Jensen, Michael Joswig, Bernd Sturmfels

Electron. J. Comb., 2009

Reconstructing spatiotemporal gene expression data from partial observations.

Dustin A. Cartwright, Siobhan M. Brady, David A. Orlando, Bernd Sturmfels, Philip N. Benfey

Bioinform., 2009

2008

Algorithms in Invariant Theory.

Bernd Sturmfels

Texts & Monographs in Symbolic Computation, Springer, ISBN: 978-3-211-77417-5, 2008

The hyperdeterminant and triangulations of the 4-cube.

Peter Huggins, Bernd Sturmfels, Josephine Yu, Debbie S. Yuster

Math. Comput., 2008

Three Counter-Examples on Semi-Graphoids.

Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels, Oliver Wienand

Comb. Probab. Comput., 2008

Polynomial relations among principal minors of a 4x4-matrix

Shaowei Lin, Bernd Sturmfels

CoRR, 2008

2007

The Mathematics of Phylogenomics.

Lior Pachter, Bernd Sturmfels

SIAM Rev., 2007

Computing tropical varieties.

Tristram Bogart, Anders Nedergaard Jensen, David E Speyer, Bernd Sturmfels, Rekha R. Thomas

J. Symb. Comput., 2007

Tropical Implicitization and Mixed Fiber Polytopes

Bernd Sturmfels, Josephine Yu

CoRR, 2007

Computing the integer programming gap.

Serkan Hosten, Bernd Sturmfels

Comb., 2007

2006

Parametric Alignment of <i>Drosophila</i> Genomes.

Colin N. Dewey, Peter Huggins, Kevin Woods, Bernd Sturmfels, Lior Pachter

PLoS Comput. Biol., 2006

Minimizing Polynomials via Sum of Squares over the Gradient Ideal.

Jiawang Nie, James Demmel, Bernd Sturmfels

Math. Program., 2006

Resultants in genetic linkage analysis.

Ingileif B. Hallgrímsdóttir, Bernd Sturmfels

J. Symb. Comput., 2006

The Newton Polytope of the Implicit Equation

Bernd Sturmfels, Jenia Tevelev, Josephine Yu

CoRR, 2006

Monomial Dynamical Systems over Finite Fields.

Omar Colón-Reyes, Abdul Salam Jarrah, Reinhard C. Laubenbacher, Bernd Sturmfels

Complex Syst., 2006

Geometry of rank tests.

Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand

Proceedings of the Third European Workshop on Probabilistic Graphical Models, 2006

An algebraic geometry approach to nonlinear parametric optimization in control.

Ioannis A. Fotiou, Philipp Rostalski, Bernd Sturmfels, Manfred Morari

Proceedings of the American Control Conference, 2006

2005

Algebraic geometry of Bayesian networks.

Luis David García-Puente, Michael Eugene Stillman, Bernd Sturmfels

J. Symb. Comput., 2005

Toric Ideals of Phylogenetic Invariants.

Bernd Sturmfels, Seth Sullivant

J. Comput. Biol., 2005

Solving the Likelihood Equations.

Serkan Hosten, Amit Khetan, Bernd Sturmfels

Found. Comput. Math., 2005

2004

Short rational functions for toric algebra and applications.

Jesús A. De Loera, David Haws, Raymond Hemmecke, Peter Huggins, Bernd Sturmfels, Ruriko Yoshida

J. Symb. Comput., 2004

Guest Editors' Preface.

Margaret M. Bayer, Carl W. Lee, Bernd Sturmfels

Discret. Comput. Geom., 2004

Classification of Six-Point Metrics.

Bernd Sturmfels, Josephine Yu

Electron. J. Comb., 2004

2003

Algebraic unimodular counting.

Jesús A. De Loera, Bernd Sturmfels

Math. Program., 2003

Higher Lawrence configurations.

Francisco Santos, Bernd Sturmfels

J. Comb. Theory A, 2003

2002

Elimination Theory in Codimension 2.

Alicia Dickenstein, Bernd Sturmfels

J. Symb. Comput., 2002

Guest Editors' Foreword.

Jesús A. De Loera, Frank Sottile, Bernd Sturmfels

Discret. Comput. Geom., 2002

Factorization of Discrete Probability Distributions.

Dan Geiger, Christopher Meek, Bernd Sturmfels

Proceedings of the UAI '02, 2002

2001

Minimizing Polynomial Functions.

Pablo A. Parrilo, Bernd Sturmfels

Proceedings of the Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, 2001

2000

Generic and Cogeneric Monomial Ideals.

Ezra Miller, Bernd Sturmfels, Kohji Yanagawa

J. Symb. Comput., 2000

Solving algebraic equations in terms of <i>A</i>-hypergeometric series.

Bernd Sturmfels

Discret. Math., 2000

1999

The search for rational A-hypergeometric functions.

Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels

SIGSAM Bull., 1999

Monomial Ideals and Planar Graphs.

Ezra Miller, Bernd Sturmfels

Proceedings of the Applied Algebra, 1999

1998

Numerical Schubert Calculus.

Birkett Huber, Frank Sottile, Bernd Sturmfels

J. Symb. Comput., 1998

1997

Variation of cost functions in integer programming.

Bernd Sturmfels, Rekha R. Thomas

Math. Program., 1997

Bernstein's Theorem in Affine Space.

Birkett Huber, Bernd Sturmfels

Discret. Comput. Geom., 1997

Structural Gröbner Basis Detection.

Bernd Sturmfels, Markus Wiegelmann

Appl. Algebra Eng. Commun. Comput., 1997

1995

On Vector Partition Functions.

Bernd Sturmfels

J. Comb. Theory A, 1995

Gröner Bases and Triangulations of the Second Hypersimplex.

Jesús A. De Loera, Bernd Sturmfels, Rekha R. Thomas

Comb., 1995

GRIN: An Implementation of Gröbner Bases for Integer Programming.

Serkan Hosten, Bernd Sturmfels

Proceedings of the Integer Programming and Combinatorial Optimization, 1995

1994

Grobner Bases - a Computational Approach to Commutative Algebra (Thomas Becker and Volker Weispfenning).

Bernd Sturmfels

SIAM Rev., 1994

1993

Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Basis.

Peter Gritzmann, Bernd Sturmfels

SIAM J. Discret. Math., 1993

A Note on Polynomial Reduction.

Alyson Reeves, Bernd Sturmfels

J. Symb. Comput., 1993

Duality and Minors of Secondary Polyhedra.

Louis J. Billera, Israel M. Gelfand, Bernd Sturmfels

J. Comb. Theory B, 1993

Extension Spaces of Oriented Matroids.

Bernd Sturmfels, Günter M. Ziegler

Discret. Comput. Geom., 1993

Algorithms in invariant theory.

Bernd Sturmfels

Texts and monographs in symbolic computation, Springer, ISBN: 978-3-211-82445-0, 1993

1992

Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Bases

Peter Gritzmann, Bernd Sturmfels

Universität Trier, Mathematik/Informatik, Forschungsbericht, 1992

1991

On the Synthetic Factorization of Projectively Invariant Polynomials.

Bernd Sturmfels, Walter Whiteley

J. Symb. Comput., 1991

Computational Algebraic Geometry of Projective Configurations.

Bernd Sturmfels

J. Symb. Comput., 1991

Computing combinatorial decompositions of rings.

Bernd Sturmfels, Neil White

Comb., 1991

1990

On the Existence of Certain Smooth Toric Varieties.

Jörg Gretenkort, Peter Kleinschmidt, Bernd Sturmfels

Discret. Comput. Geom., 1990

Nonrealizability Proofs in Computational Geometry.

Jürgen Bokowski, Jürgen Richter, Bernd Sturmfels

Discret. Comput. Geom., 1990

Unimodular Fans, Linear Codes, and Toric Manifolds.

Peter Kleinschmidt, Niels Schwartz, Bernd Sturmfels

Proceedings of the Discrete and Computational Geometry: Papers from the DIMACS Special Year, 1990

1989

Arrangements of lines and pseudolines without adjacent triangles.

Dragoslav Ljubic, Jean-Pierre Roudneff, Bernd Sturmfels

J. Comb. Theory A, 1989

Uniform Oriented Matroids Without the Isotopy Property.

Beat Jaggi, Peter Mani-Levitska, Bernd Sturmfels, Neil White

Discret. Comput. Geom., 1989

Proposal for a geometric algebra software package.

Timothy F. Havel, Bernd Sturmfels, Neil White

SIGSAM Bull., 1989

Coordinate Representation of Order Types Requires Exponential Storage

Jacob E. Goodman, Richard Pollack, Bernd Sturmfels

Proceedings of the 21st Annual ACM Symposium on Theory of Computing, 1989

1988

Some Applications of Affine Gale Diagrams to Polytopes with few Vertices.

Bernd Sturmfels

SIAM J. Discret. Math., 1988

Neighborly Polytopes and Oriented Matroids.

Bernd Sturmfels

Eur. J. Comb., 1988

1986

Central and parallel projections of polytopes.

Bernd Sturmfels

Discret. Math., 1986

On the Coordinatization of Oriented Matroids.

Jürgen Bokowski, Bernd Sturmfels

Discret. Comput. Geom., 1986