SG
Stephane Gaubert
math.OCmath.COcs.GTmath.MGmath.SPcs.NAmath.NAmath.FAmath.RAmath.DS
On Valency
published · living versionsW_26jt8euu·v1 · currentpublished
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
with Jean Clairambault, Benoit Perthame
1 version
Preprints & journals
148 papers in the corpus · 1982–2026The Competive Spectral Radius of Families of Nonexpansive Mappings2410.21097v3 · Marianne Akian, St'ephane Gaubert, Loic Marchesini2024 · 0 citationsarXiv
Joint Design of Time-of-Use Schedules and Price Levels: a Bilevel Model with Client Participation and Load Flexibility2609.15496v1 · Abdellah Bulaich Mehamdi, Wim van Ackooij, Luce Brotcorne et al.2026 · 0 citationsarXiv
Integrating Aggregated Electric Vehicle Flexibilities in Unit Commitment Models using Submodular Optimization2511.11191v2 · H'elene Arvis, Olivier Beaude, Nicolas Gast et al.2025 · 0 citationsarXiv
Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots1304.2967v4 · Marianne Akian, Stephane Gaubert, Meisam Sharify2013 · 16 citationsarXiv
Bundle-based pruning in the max-plus curse of dimensionality free method1402.1436v1 · Stephane Gaubert, Zheng Qu, Srinivas Sridharan2014 · 4 citationsProceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems July 7-11, 2014. Groningen, The Netherland, pages 166--172
Tropical Scaling of Polynomial Matrices0905.0121v1 · St'ephane Gaubert, Meisam Sharify2009 · 39 citationsProceedings of POSTA 09 (Positive Systems: Theory and Applications), Valencia, Spain, volume 389 in the Springer LNCIS series, pp 291--303, 2009
Perron-Frobenius theorem for nonnegative multilinear forms and extensions0905.1626v3 · S. Friedland, S. Gaubert, L. Han2009 · 337 citationsarXiv
Ergodic Control and Polyhedral approaches to PageRank Optimization1011.2348v2 · Olivier Fercoq, Marianne Akian, Mustapha Bouhtou et al.2010 · 51 citationsIEEE-TAC, 58(1), pp. 134--148 (2013)
Solution of the optimal assignment problem by diagonal scaling algorithms1104.3830v2 · Meisam Sharify, St'ephane Gaubert, Laura Grigori2011 · 9 citationsarXiv
Curse of dimensionality reduction in max-plus based approximation methods: theoretical estimates and improved pruning algorithms1109.5241v1 · Stephane Gaubert, William McEneaney, Zheng Qu2011 · 60 citationsProceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 11),Orlando, FL, USA, pp. 1054-1061, 2011
The contraction rate in Thompson metric of order-preserving flows on a cone - application to generalized Riccati equations1206.0448v1 · St'ephane Gaubert, Zheng Qu2012 · 26 citationsJournal of Differential Equations, Volume 256, Issue 8, 15 April 2014, Pages 2902-2948
The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysismath/0603619v1 · Marianne Akian, Stephane Gaubert, Asma Lakhoua2006 · 114 citationsSIAM J. Control Optim. Volume 47, Issue 2, pp. 817-848 (2008)
Tropical low-rank approximation and application to optimal control of N-body systems2604.18785v1 · Marianne Akian, Stephane Gaubert, Shanqing Liu et al.2026 · 0 citationsarXiv
Linear algebra over T-pairs2310.05257v5 · Marianne Akian, Stephane Gaubert, Louis Rowen2023 · 1 citationarXiv
Equality of tropical rank and dimension for semimodules of tropical rational functions, and computational aspects2504.02715v3 · Omid Amini, St'ephane Gaubert, Lucas Gierczak2025 · 0 citationsarXiv
Relu and softplus neural nets as zero-sum turn-based games2512.20582v1 · Stephane Gaubert, Yiannis Vlassopoulos2025 · 0 citationsarXiv
Dynamics of multidimensional Simple Clock Auctions2512.10614v1 · Jad Zeroual, Marianne Akian, Aur'elien Bechler et al.2025 · 0 citationsarXiv
Optimal strategy against straightforward bidding in clock auctions2512.09788v1 · Jad Zeroual (TROPICAL), Marianne Akian (TROPICAL), Aur'elien Bechler et al.2025 · 1 citationPerformance Evaluation, 2025, 169, pp.102502
A max-plus finite element method for solving finite horizon deterministic optimal control problemsmath/0404184v1 · Marianne Akian, Stephane Gaubert, Asma Lakhoua2004 · 13 citationsProceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2004), Louvain, Belgique, Jul. 2004.
Order isomorphisms of sup-stable function spaces: continuous, Lipschitz, c-convex, and beyond2404.06857v3 · Pierre-Cyril Aubin-Frankowski, St'ephane Gaubert2024 · 0 citationsarXiv
Spectral Properties of Positive Definite Matrices over Symmetrized Tropical Algebras and Valued Ordered fields2412.10602v4 · Marianne Akian, Stephane Gaubert, Dariush Kiani et al.2024 · 0 citationsarXiv
Signed Tropicalization of Polar Cones.40656640 · Akian, Marianne, Allamigeon, Xavier, Gaubert, Stéphane et al.2025 · 0 citationsJournal of optimization theory and applications. 2025;207(1):10
Thresholds for sensitive optimality and Blackwell optimality in stochastic games2506.18545v1 · St'ephane Gaubert, Julien Grand-Cl'ement, Ricardo D. Katz2025 · 0 citationsarXiv
Complexity of Geometric programming in the Turing model and application to nonnegative tensors2301.10637v3 · Shmuel Friedland, St'ephane Gaubert2023 · 0 citationsarXiv
Continuity and approximability of competitive spectral radii2505.22468v1 · Marianne Akian, St'ephane Gaubert, Loic Marchesini et al.2025 · 0 citationsarXiv
Computing the Congestion Phases of Dynamical Systems with Priorities and Application to Emergency Departments2505.02729v1 · Xavier Allamigeon, Pascal Capetillo, St'ephane Gaubert2025 · 0 citationsarXiv
Stationary regimes of piecewise linear dynamical systems with priorities2411.12437v1 · Xavier Allamigeon, Pascal Capetillo, Stephane Gaubert2024 · 1 citationarXiv
Universal Complexity Bounds Based on Value Iteration for Stochastic Mean Payoff Games and Entropy Games2206.09044v2 · Xavier Allamigeon, St'ephane Gaubert, Ricardo D. Katz et al.2022 · 1 citationarXiv
The Nullstellensatz and Positivstellensatz for Sparse Tropical Polynomial Systems2312.05859v2 · Marianne Akian (1, Antoine B'ereau (2, St'ephane Gaubert (12023 · 0 citationsarXiv
A Multi-Level Fast-Marching Method For The Minimum Time Problem2303.10705v2 · Marianne Akian, St'ephane Gaubert, Shanqing Liu2023 · 0 citationsarXiv
Factorization of polynomials over the symmetrized tropical semiring and Descartes' rule of sign over ordered valued fields2301.05483v4 · Marianne Akian, Stephane Gaubert, Hanieh Tavakolipour2023 · 2 citationsarXiv
Directed Metric Structures arising in Large Language Models2405.12264v1 · St'ephane Gaubert, Yiannis Vlassopoulos2024 · 2 citationsarXiv
Ergodic control of a heterogeneous population and application to electricity pricing2204.01410v3 · Quentin Jacquet (EDF R\&D OSIRIS, TROPICAL), Wim van Ackooij (EDF R\&D OSIRIS) et al.2022 · 1 citationarXiv
Signed tropicalization of polar cones2305.05637v4 · Marianne Akian, Xavier Allamigeon, St'ephane Gaubert et al.2023 · 0 citationsarXiv
Analysis of the vanishing discount limit for optimal control problems in continuous and discrete time2306.07234v2 · Piermarco Cannarsa, Stephane Gaubert, Cristian Mendico et al.2023 · 1 citationarXiv
Ambitropical geometry, hyperconvexity and zero-sum games2108.07748v2 · Marianne Akian, Stephane Gaubert, Sara Vannucci2021 · 0 citationsarXiv
Piecewise Affine Dynamical Models of Timed Petri Nets -- Application to Emergency Call Centers2004.09483v3 · Xavier Allamigeon, Marin Boyet, St'ephane Gaubert2020 · 7 citationsFundamenta Informaticae, Volume 183, Issues 3-4: Petri Nets 2020 (December 23, 2021) fi:7629
Solving irreducible stochastic mean-payoff games and entropy games by relative Krasnoselskii-Mann iteration2305.02458v1 · Marianne Akian, St'ephane Gaubert, Ulysse Naepels et al.2023 · 1 citationarXiv
Semiring systems arising from hyperrings2207.06739v2 · Marianne Akian, Stephane Gaubert, Louis Rowen2022 · 7 citationsarXiv
An Adaptive Multi-Level Max-Plus Method for Deterministic Optimal Control Problems2304.10342v1 · Marianne Akian, St'ephane Gaubert, Shanqing Liu2023 · 2 citationsarXiv
Quadratic Regularization of Bilevel Pricing Problems and Application to Electricity Retail Markets2110.02765v3 · Quentin Jacquet, Wim van Ackooij, Cl'emence Alasseur et al.2021 · 9 citationsarXiv
A Quantization Procedure for Nonlinear Pricing with an Application to Electricity Markets2303.17394v1 · Quentin Jacquet (EDF R&D OSIRIS, TROPICAL), Wim van Ackooij (EDF R&D OSIRIS) et al.2023 · 1 citationarXiv
Tropical reproducing kernels and optimization2202.11410v3 · Pierre-Cyril Aubin-Frankowski, St'ephane Gaubert2022 · 2 citationsarXiv
Tropical complementarity problems and Nash equilibria2012.05314v3 · Xavier Allamigeon, St'ephane Gaubert, Fr'ed'eric Meunier2020 · 2 citationsarXiv
Decision-making tools for healthcare structures in times of pandemic.35247640 · Garaix, Thierry, Gaubert, Stéphane, Josse, Julie et al.2022 · 2 citationsAnaesthesia, critical care & pain medicine. 2022;41(2):101052
Computing Transience Bounds of Emergency Call Centers: a Hierarchical Timed Petri Net Approach2202.02752v1 · Xavier Allamigeon, Marin Boyet, Stephane Gaubert2022 · 2 citationsarXiv
No self-concordant barrier interior point method is strongly polynomial2201.02186v1 · Xavier Allamigeon, St'ephane Gaubert, Nicolas Vandame2022 · 10 citationsarXiv
Multi-stage Stochastic Alternating Current Optimal Power Flow with Storage: Bounding the Relaxation Gap2109.14869v2 · Maxime Grangereau (EDF, TROPICAL), Wim van Ackooij (EDF) et al.2021 · 6 citationsarXiv
A Universal Approximation Result for Difference of Log-Sum-Exp Neural Networks.32167912 · Calafiore, Giuseppe C, Gaubert, Stephane, Possieri, Corrado2021 · 51 citationsIEEE transactions on neural networks and learning systems. 2020;31(12):5603-5612
Exact quantization of multistage stochastic linear problems2107.09566v1 · Mael Forcier, St'ephane Gaubert, Vincent Leclere2021 · 2 citationsarXiv
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