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Stéphane Gaubert

Stéphane Gaubert

D-Index & Metrics

Mathematics

D-Index
52
Citations
8153
World Ranking
983
National Ranking
49

Overview

Stéphane Gaubert is affiliated with École Polytechnique in France and has a research portfolio spanning computer science and mathematics. Their work contributes primarily to computational theory and mathematics, numerical analysis, geometry and topology, management science and operations research, as well as economics and econometrics.

The scientist has contributed to multiple topics within these fields, including:

  • Polynomial and algebraic computation
  • Advanced optimization algorithms research
  • Economic theories and models
  • Smart grid energy management
  • Advanced differential equations and dynamical systems
  • Commutative algebra and its applications
  • Formal methods in verification

Frequently publishing in venues such as arXiv (Cornell University), Journal of Pure and Applied Algebra, SIAM Journal on Optimization, SIAM Journal on Discrete Mathematics, and Mathematical Control and Related Fields, Gaubert's scholarly output reflects a wide dissemination across relevant academic outlets.

Recent papers exemplify the diverse applications and theoretical underpinnings of their research:

  • Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area, 2020, Comptes Rendus Mathématique
  • What Tropical Geometry Tells Us about the Complexity of Linear Programming, 2021, SIAM Review
  • A Privacy-Preserving Method to Optimize Distributed Resource Allocation, 2020, SIAM Journal on Optimization
  • Tropical Spectrahedra, 2020, Discrete & Computational Geometry
  • Tropical Linear Regression and Mean Payoff Games: Or, How to Measure the Distance to Equilibria, 2023, SIAM Journal on Discrete Mathematics

In collaborative research, Stéphane Gaubert works frequently with Marianne Akian, Xavier Allamigeon, Wim van Ackooij, Marin Boyet, and Clémence Alasseur, reflecting broad interdisciplinary interactions and sustained scholarly partnerships.

Best Publications

  • Theorie des systemes lineaires dans les dioides

    Stephane Gaubert

  • Perron–Frobenius theorem for nonnegative multilinear forms and extensions

    S. Friedland;Stéphane Gaubert;L. Han

  • Methods and Applications of (MAX, +) Linear Algebra

    Stephane Gaubert;Max Plus

  • Duality and separation theorems in idempotent semimodules

    Guy Cohen;Stéphane Gaubert;Jean-Pierre Quadrat

  • Max-plus algebra and system theory: Where we are and where to go now

    Guy Cohen;Guy Cohen;Stéphane Gaubert;Jean-Pierre Quadrat

  • Numerical Computation of Spectral Elements in Max-Plus Algebra☆

    Jean Cochet-Terrasson;Guy Cohen;Stéphane Gaubert;Michael McGettrick

  • Performance evaluation of (max,+) automata

    S. Gaubert

  • Modeling and analysis of timed Petri nets using heaps of pieces

    S. Gaubert;J. Mairesse

  • Max-Plus Algebra

    Marianne Akian;Ravindra Bapat;Stéphane Gaubert

  • TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES

    Marianne Akian;Marianne Akian;Stéphane Gaubert;Stéphane Gaubert;Alexander E. Guterman

  • The Perron-Frobenius theorem for homogeneous, monotone functions

    Stéphane Gaubert;Jeremy Gunawardena

  • Linear independence over tropical semirings and beyond

    Unknown

  • A policy iteration algorithm for computing fixed points in static analysis of programs

    A. Costan;S. Gaubert;E. Goubault;M. Martel

  • The Max-Plus Finite Element Method for Solving Deterministic Optimal Control Problems: Basic Properties and Convergence Analysis

    Marianne Akian;Stéphane Gaubert;Asma Lakhoua

  • Linear systems in (max, +) algebra

    M. Akian;G. Cohen;S. Gaubert;R. Nikoukhah

  • Max-plus convex sets and functions

    Guy Cohen;Stephane Gaubert;Jean-Pierre Quadrat;Ivan Singer

  • A constructive fixed point theorem for min-max functions

    Jean Cochet-Terrasson;Stephane Gaubert;Jeremy Gunawardena

  • The Minkowski theorem for max-plus convex sets

    Stéphane Gaubert;Ricardo David Katz

  • Static analysis by policy iteration on relational domains

    Stephane Gaubert;Eric Goubault;Ankur Taly;Sarah Zennou

  • Coupling policy iteration with semi-definite relaxation to compute accurate numerical invariants in static analysis

    Assalé Adjé;Stéphane Gaubert;Eric Goubault

  • Asymptotics of the Perron eigenvalue and eigenvector using max-algebra

    Marianne Akian;Ravindra Bapat;Stéphane Gaubert

Frequent Co-Authors

Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Roger D. Nussbaum
Roger D. Nussbaum Rutgers, The State University of New Jersey
Giuseppe Carlo Calafiore
Giuseppe Carlo Calafiore Polytechnic University of Turin
Albert Benveniste
Albert Benveniste French Institute for Research in Computer Science and Automation - INRIA
Rajendra Bhatia
Rajendra Bhatia Ashoka University
Alessandro Giua
Alessandro Giua University of Cagliari
Laurent Massoulié
Laurent Massoulié French Institute for Research in Computer Science and Automation - INRIA
Vincent D. Blondel
Vincent D. Blondel Université Catholique de Louvain
Romain Briandet
Romain Briandet University of Paris-Saclay
Vincent Calvez
Vincent Calvez Centre national de la recherche scientifique, CNRS

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