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Bernd Sturmfels

  1. Algebraic algorithms for sampling from conditional distributions
    1998/02/01 by Persi Diaconis, Bernd Sturmfels · 29 citations
    Computer Science · Mathematics · #Topological and Geometric Data Analysis #Advanced Combinatorial Mathematics #Polynomial and algebraic computation
  2. Geometry of the restricted Boltzmann machine
    2009/08/30 by María Angélica Cueto, Maria Angelica Cueto, Jason Morton +4 · 3 voices · 3 citations
    Physics and Astronomy · Engineering · #Model Reduction and Neural Networks #Theoretical and Computational Physics #Lattice Boltzmann Simulation Studies
  3. Benchmarks in Leipzig
    2026/06/04 by Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45 · 18 voices
    #math.HO #cs.AI #math.AG #math.CO #math.RT
  4. Binomial Ideals
    1994/01/11 by David Eisenbud, Eisenbud, David, Bernd Sturmfels +1 · 11 citations
    Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras
  5. The Euclidean distance degree of an algebraic variety
    2013/08/31 by Jan Draisma, Draisma, Jan, Emil Horobeţ +7 · 14 citations
    Computer Science · Engineering · Mathematics · #13P25 #14M12 #14N10 #51N35 #90C26 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Optimization and Control (math.OC) #Polynomial and algebraic computation
  6. The Tropical Grassmannian
    2003/04/16 by David E Speyer, David Speyer, Bernd Sturmfels +2 · 9 citations
    Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #math.AG #math.CO
  7. Maximal Minors and Their Leading Terms
    1993/03/01 by B. Sturmfels, Bernd Sturmfels, Andrei Zelevinsky +1 · 7 citations
    Arts and Humanities · Mathematics · #Linguistics and Cultural Studies #Mathematics and Applications
  8. Cellular Resolutions of Monomial Modules
    1997/11/19 by Dave Bayer, Bernd Sturmfels, Bayer, Dave +1 · 3 citations
    Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG
  9. Syzygies of Unimodular Lawrence Ideals
    1999/12/31 by Dave Bayer, Bayer, Dave, Sorin Popescu +3 · 3 citations
    Mathematics · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO
  10. What is Positive Geometry?
    2025/02/18 by Kristian Ranestad, Ranestad, Kristian, Bernd Sturmfels +3 · 1 voice · 6 citations
    Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AG #math.CO
  11. Algebraic Geometry of Bayesian Networks
    2003/01/22 by Luis David Garcia, Michael Stillman, Garcia, Luis David +3 · 2 citations
    Mathematics · #13P10 #14Q15 (Primary) #60-02 #60-04 (Secondary) #68W30 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Probability (math.PR) #math.AC #math.AG #math.PR #msc:13P10 #msc:14Q15 #msc:60-02 #msc:60-04 #msc:68W30
  12. Matroid polytopes, nested sets and Bergman fans
    2004/11/11 by Eva Maria Feichtner, Feichtner, Eva Maria, Bernd Sturmfels +1 · 2 citations
    Mathematics · #14D99 #52B40 #52C35 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:05B35 #msc:14D99 #msc:52B20 #msc:52B40 #msc:52C35 #primary 52B20 #secondary 05B35
  13. Combinatorial secant varieties
    2005/06/12 by Bernd Sturmfels, Sturmfels, Bernd, Seth Sullivant +1 · 2 citations
    Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications #math.AC #math.AG #math.CO
  14. Twenty-Seven Questions about the Cubic Surface
    2019/12/16 by Kristian Ranestad, Ranestad, Kristian, Bernd Sturmfels +1 · 2 citations
    Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications
  15. Positive del Pezzo Geometry
    2023/06/23 by Nick Early, Early, Nick, Alheydis Geiger +7 · 3 citations
    Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
  16. Algebraic Varieties in Quantum Chemistry
    2023/08/09 by Fabian M. Faulstich, Bernd Sturmfels, Faulstich, Fabian +3 · 3 citations
    Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Chemical Physics (physics.chem-ph) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons #Polynomial and algebraic computation
  17. Elimination Theory for Tropical Varieties
    2007/04/26 by Bernd Sturmfels, Jenia Tevelev, Sturmfels, Bernd +1 · 2 citations
    Computer Science · Mathematics · #Polynomial and algebraic computation #Algebraic Geometry and Number Theory #Advanced Differential Equations and Dynamical Systems
  18. Higher Lawrence configurations
    2002/09/30 by Francisco Santos, Bernd Sturmfels · 1 citation
    Mathematics · #math.CO #math.AC #msc:52B20 #msc:13P10 #msc:62H17
  19. Computing the Integer Programming Gap
    2003/01/23 by Serkan Hosten, Bernd Sturmfels, Hosten, Serkan +1 · 1 citation
    Mathematics · #13P10 #62H17 (Secondary) #90C10 (Primary) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Optimization and Control (math.OC) #math.AC #math.CO #math.OC #msc:13P10 #msc:62H17 #msc:90C10
  20. Toric ideals of phylogenetic invariants
    2004/02/07 by Bernd Sturmfels, Sturmfels, Bernd, Seth Sullivant +1 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · #Commutative Algebra (math.AC) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #math.AC #q-bio.PE
  21. Tropical Convexity
    2003/08/31 by Mike Develin, Bernd Sturmfels · 1 citation
    Mathematics · #math.MG #math.CO #msc:52A30 #msc:92B10
  22. The Maximum Likelihood Degree
    2004/06/25 by Fabrizio Catanese, Catanese, Fabrizio, Serkan Hoşten +5 · 1 citation
    Computer Science · Mathematics · #Advanced Statistical Methods and Models #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #Statistics Theory (math.ST)
  23. Convex Rank Tests and Semigraphoids
    2007/02/20 by Jason Morton, Lior Pachter, Morton, Jason +7 · 1 citation
    Computer Science · Mathematics · #Bayesian Modeling and Causal Inference #Advanced Statistical Methods and Models #Rough Sets and Fuzzy Logic
  24. Multivariate Gaussians, Semidefinite Matrix Completion, and Convex Algebraic Geometry
    2009/06/18 by Bernd Sturmfels, Caroline Uhler, Sturmfels, Bernd +1 · 1 citation
    Computer Science · Mathematics · #14Q10 #62H12 #90C25 #Advanced Statistical Methods and Models #Algebraic Geometry (math.AG) #Data Management and Algorithms #FOS: Mathematics #Optimization and Control (math.OC) #Statistics Theory (math.ST) #Topological and Geometric Data Analysis
  25. Quartic Spectrahedra
    2013/11/14 by John Christian Ottem, Kristian Ranestad, Ottem, John Christian +5 · 1 citation
    Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Optimization and Control (math.OC)
  26. Algebraic Systems Biology: A Case Study for the Wnt Pathway
    2015/02/11 by Elizabeth Gross, Heather A. Harrington, Gross, Elizabeth +5 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Computer Science · #14-3-3 protein interactions #Polynomial and algebraic computation #Microtubule and mitosis dynamics
  27. Toric dynamical systems
    2007/08/25 by Gheorghe Crăciun, Craciun, Gheorghe, Alicia Dickenstein +5 · 1 citation
    Chemistry · Computer Science · Physics and Astronomy · #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #Molecular spectroscopy and chirality #Polynomial and algebraic computation #Quantum chaos and dynamical systems
  28. Positivity Certificates via Integral Representations
    2019/08/12 by Khazhgali Kozhasov, Kozhasov, Khazhgali, Mateusz Michałek +3 · 1 citation
    Mathematics · #Algebraic Geometry (math.AG) #Analytic and geometric function theory #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials #Optimization and Control (math.OC) #Point processes and geometric inequalities
  29. D-Modules and Holonomic Functions
    2019/10/03 by Anna-Laura Sattelberger, Sattelberger, Anna-Laura, Bernd Sturmfels +1 · 1 citation
    Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Computer and information sciences #FOS: Mathematics #Polynomial and algebraic computation #Symbolic Computation (cs.SC)
  30. Likelihood Degenerations
    2021/07/22 by Daniele Agostini, Taylor Brysiewicz, Agostini, Daniele +9 · 1 citation
    Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Polynomial and algebraic computation
  31. Spinor-Helicity Varieties
    2024/06/25 by Yassine El Maazouz, Anaëlle Pfister, Maazouz, Yassine El +3 · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models