2024
Toric geometry of entropic regularization.
J. Symb. Comput., 2024
2023
Bayesian Integrals on Toric Varieties.
SIAM J. Appl. Algebra Geom., March, 2023
Quantum Correlations in the Minimal Scenario.
Quantum, March, 2023
KP solitons from tropical limits.
J. Symb. Comput., 2023
Taylor Polynomials of Rational Functions.
CoRR, 2023
Moment Varieties for Mixtures of Products.
Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023
2022
Voronoi cells of varieties.
J. Symb. Comput., 2022
Publisher Correction: Geometry of Log-Concave Density Estimation.
Discret. Comput. Geom., 2022
Four-Dimensional Lie Algebras Revisited.
CoRR, 2022
Recovery of Plane Curves from Branch Points.
CoRR, 2022
Geometry of Dependency Equilibria.
CoRR, 2022
Marginal Independence Models.
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.
J. Symb. Comput., 2021
Primary Ideals and Their Differential Equations.
Found. Comput. Math., 2021
Correction to: The Schläfli Fan.
Discret. Comput. Geom., 2021
Recovery from Power Sums.
CoRR, 2021
Linear PDE with Constant Coefficients.
CoRR, 2021
2020
The geometry of SDP-exactness in quadratic optimization.
Math. Program., 2020
Brownian motion tree models are toric.
Kybernetika, 2020
Discret. Comput. Geom., 2020
Tangent Quadrics in Real 3-Space.
CoRR, 2020
Bad Projections of the PSD Cone.
CoRR, 2020
2019
Learning Paths from Signature Tensors.
SIAM J. Matrix Anal. Appl., 2019
Schottky algorithms: Classical meets tropical.
Math. Comput., 2019
The Geometry of Gaussoids.
Found. Comput. Math., 2019
Sixty-Four Curves of Degree Six.
Exp. Math., 2019
Geometry of Log-Concave Density Estimation.
Discret. Comput. Geom., 2019
Algebraic Analysis of Rotation Data.
CoRR, 2019
D-Modules and Holonomic Functions.
CoRR, 2019
Optimal Transport to a Variety.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019
2018
Found. Comput. Math., 2018
Real Space Sextics and their Tritangents.
Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018
2017
Convexity in Tree Spaces.
SIAM J. Discret. Math., 2017
Message from the Editor-in-Chief.
SIAM J. Appl. Algebra Geom., 2017
The Hurwitz form of a projective variety.
J. Symb. Comput., 2017
On the Existence of Epipolar Matrices.
Int. J. Comput. Vis., 2017
Changing Views on Curves and Surfaces.
CoRR, 2017
Congruences and concurrent lines in multi-view geometry.
Adv. Appl. Math., 2017
General Models for Rational Cameras and the Case of Two-Slit Projections.
Proceedings of the 2017 IEEE Conference on Computer Vision and Pattern Recognition, 2017
A Clever Elimination Strategy for Efficient Minimal Solvers.
Proceedings of the 2017 IEEE Conference on Computer Vision and Pattern Recognition, 2017
2016
Symmetric matrices, Catalan paths, and correlations.
J. Comb. Theory, Ser. A, 2016
Rigid multiview varieties.
Int. J. Algebra Comput., 2016
The Euclidean Distance Degree of an Algebraic Variety.
Found. Comput. Math., 2016
Nearest Points on Toric Varieties.
CoRR, 2016
Decomposing tensors into frames.
Adv. Appl. Math., 2016
2015
Cayley-Bacharach Formulas.
Am. Math. Mon., 2015
Generic Spectrahedral Shadows.
SIAM J. Optim., 2015
Duality of Multiple Root Loci.
CoRR, 2015
Computing the Chow Variety of Quadratic Space Curves.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015
Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015
Introduction to Tropical Geometry.
Graduate studies in mathematics 161, American Mathematical Society, ISBN: 978-0-8218-5198-2, 2015
2014
Exact Solutions in Structured Low-Rank Approximation.
SIAM J. Matrix Anal. Appl., 2014
Tropicalization of Classical Moduli Spaces.
Math. Comput. Sci., 2014
Hypersurfaces and Their Singularities in Partial Correlation Testing.
Found. Comput. Math., 2014
Certifying the Existence of Epipolar Matrices.
CoRR, 2014
The euclidean distance degree.
Proceedings of the Symbolic-Numeric Computation 2014, 2014
Maximum likelihood for matrices with rank constraints.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014
2013
Capacity Pre-Log of Noncoherent SIMO Channels Via Hironaka's Theorem.
IEEE Trans. Inf. Theory, 2013
The Universal Kummer Threefold.
Exp. Math., 2013
Algebraic Methods for Structured Low-Rank Approximation.
CoRR, 2013
2012
The Central Curve in Linear Programming.
Found. Comput. Math., 2012
Monomials, Binomials, and Riemann-Roch
CoRR, 2012
2011
Quartic curves and their bitangents.
J. Symb. Comput., 2011
A Hilbert Scheme in Computer Vision
CoRR, 2011
Commutative Algebra of Statistical Ranking
CoRR, 2011
Combinatorial Types of Tropical Eigenvectors.
CoRR, 2011
Noncoherent SIMO pre-log via resolution of singularities.
Proceedings of the 2011 IEEE International Symposium on Information Theory Proceedings, 2011
2010
The algebraic degree of semidefinite programming.
Math. Program., 2010
Computing Linear Matrix Representations of Helton-Vinnikov Curves
CoRR, 2010
The Convex Hull of a Variety
CoRR, 2010
2009
Computer Algebra in Systems Biology.
Am. Math. Mon., 2009
Matrix Cubes Parameterized by Eigenvalues.
SIAM J. Matrix Anal. Appl., 2009
Convex Rank Tests and Semigraphoids.
SIAM J. Discret. Math., 2009
Marginal Likelihood Integrals for Mixtures of Independence Models.
J. Mach. Learn. Res., 2009
Computeralgebra in der Systembiologie.
Inform. Spektrum, 2009
Discret. Comput. Geom., 2009
On the convex hull of a space curve.
CoRR, 2009
How to Draw Tropical Planes.
Electron. J. Comb., 2009
Reconstructing spatiotemporal gene expression data from partial observations.
Bioinform., 2009
2008
Algorithms in Invariant Theory.
Texts & Monographs in Symbolic Computation, Springer, ISBN: 978-3-211-77417-5, 2008
The hyperdeterminant and triangulations of the 4-cube.
Math. Comput., 2008
Three Counter-Examples on Semi-Graphoids.
Comb. Probab. Comput., 2008
Polynomial relations among principal minors of a 4x4-matrix
CoRR, 2008
2007
The Mathematics of Phylogenomics.
SIAM Rev., 2007
Computing tropical varieties.
J. Symb. Comput., 2007
Tropical Implicitization and Mixed Fiber Polytopes
CoRR, 2007
Computing the integer programming gap.
Comb., 2007
2006
Parametric Alignment of <i>Drosophila</i> Genomes.
PLoS Comput. Biol., 2006
Minimizing Polynomials via Sum of Squares over the Gradient Ideal.
Math. Program., 2006
Resultants in genetic linkage analysis.
J. Symb. Comput., 2006
The Newton Polytope of the Implicit Equation
CoRR, 2006
Monomial Dynamical Systems over Finite Fields.
Complex Syst., 2006
Proceedings of the Third European Workshop on Probabilistic Graphical Models, 2006
An algebraic geometry approach to nonlinear parametric optimization in control.
Proceedings of the American Control Conference, 2006
2005
Algebraic geometry of Bayesian networks.
J. Symb. Comput., 2005
Toric Ideals of Phylogenetic Invariants.
J. Comput. Biol., 2005
Solving the Likelihood Equations.
Found. Comput. Math., 2005
2004
Short rational functions for toric algebra and applications.
J. Symb. Comput., 2004
Discret. Comput. Geom., 2004
Classification of Six-Point Metrics.
Electron. J. Comb., 2004
2003
Algebraic unimodular counting.
Math. Program., 2003
Higher Lawrence configurations.
J. Comb. Theory, Ser. A, 2003
2002
Elimination Theory in Codimension 2.
J. Symb. Comput., 2002
Discret. Comput. Geom., 2002
Factorization of Discrete Probability Distributions.
Proceedings of the UAI '02, 2002
2001
Minimizing Polynomial Functions.
Proceedings of the Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, 2001
2000
Generic and Cogeneric Monomial Ideals.
J. Symb. Comput., 2000
Solving algebraic equations in terms of <i>A</i>-hypergeometric series.
Discret. Math., 2000
1999
The search for rational A-hypergeometric functions.
SIGSAM Bull., 1999
Monomial Ideals and Planar Graphs.
Proceedings of the Applied Algebra, 1999
1998
Numerical Schubert Calculus.
J. Symb. Comput., 1998
1997
Variation of cost functions in integer programming.
Math. Program., 1997
Bernstein's Theorem in Affine Space.
Discret. Comput. Geom., 1997
1996
Structural Gröbner Basis Detection
Universität Trier, Mathematik/Informatik, Forschungsbericht, 1996
1995
On Vector Partition Functions.
J. Comb. Theory, Ser. A, 1995
Gröner Bases and Triangulations of the Second Hypersimplex.
Comb., 1995
GRIN: An Implementation of Gröbner Bases for Integer Programming.
Proceedings of the Integer Programming and Combinatorial Optimization, 1995
1994
Grobner Bases - a Computational Approach to Commutative Algebra (Thomas Becker and Volker Weispfenning).
SIAM Rev., 1994
1993
Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Basis.
SIAM J. Discret. Math., 1993
A Note on Polynomial Reduction.
J. Symb. Comput., 1993
Duality and Minors of Secondary Polyhedra.
J. Comb. Theory, Ser. B, 1993
Extension Spaces of Oriented Matroids.
Discret. Comput. Geom., 1993
Algorithms in invariant theory.
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
Universität Trier, Mathematik/Informatik, Forschungsbericht, 1992
1991
On the Synthetic Factorization of Projectively Invariant Polynomials.
J. Symb. Comput., 1991
Computational Algebraic Geometry of Projective Configurations.
J. Symb. Comput., 1991
Computing combinatorial decompositions of rings.
Comb., 1991
1990
On the Existence of Certain Smooth Toric Varieties.
Discret. Comput. Geom., 1990
Nonrealizability Proofs in Computational Geometry.
Discret. Comput. Geom., 1990
Unimodular Fans, Linear Codes, and Toric Manifolds.
Proceedings of the Discrete and Computational Geometry: Papers from the DIMACS Special Year, 1990
1989
Arrangements of lines and pseudolines without adjacent triangles.
J. Comb. Theory, Ser. A, 1989
Uniform Oriented Matroids Without the Isotopy Property.
Discret. Comput. Geom., 1989
Proposal for a geometric algebra software package.
SIGSAM Bull., 1989
Coordinate Representation of Order Types Requires Exponential Storage
Proceedings of the 21st Annual ACM Symposium on Theory of Computing, 1989
1988
Some Applications of Affine Gale Diagrams to Polytopes with few Vertices.
SIAM J. Discret. Math., 1988
Neighborly Polytopes and Oriented Matroids.
Eur. J. Comb., 1988
1986
Central and parallel projections of polytopes.
Discret. Math., 1986
On the Coordinatization of Oriented Matroids.
Discret. Comput. Geom., 1986
