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Densities of idempotent measures and large deviations

Marianne Akian
[Research Report] RR-2534, INRIA. 1995
Rapport inria-00074144v1

Majorization inequalities for valuations of eigenvalues using tropical algebra

Marianne Akian
4th International Conference on Matrix methods in Mathematics and Applications (MMMA-2015), Aug 2015, Moscow, Russia
Communication dans un congrès hal-01252363v1

Log-majorization of eigenvalues of matrix polynomials and tropical scaling

Marianne Akian
Structured Matrix Days, May 2014, Limoges, France
Communication dans un congrès hal-01104386v1

Solving Hamilton-Jacobi-Bellman equations by combining a max-plus linear approximation and a probabilistic numerical method

Marianne Akian
Workshop ``Numerical methods for Hamilton-Jacobi equations in optimal control and related fields'' at the Radon Institute, Austrian Academy of Sciences, Nov 2016, Linz, Austria
Communication dans un congrès hal-01425485v1
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Policy iteration for stochastic zero-sum games

Marianne Akian
NETCO 2014, 2014, Tours, France
Document associé à des manifestations scientifiques hal-01024097v1
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On the Continuity of the Cramer Transform

Marianne Akian
[Research Report] RR-2841, INRIA. 1996
Rapport inria-00073849v1

Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations

Marianne Akian
WORKSHOP INDAM: Numerical methods for optimal control problems: algorithms, analysis and applications, Jun 2017, Roma, Italy
Communication dans un congrès hal-01675069v1

Majorization inequalities for valuations of eigenvalues using tropical algebra

Marianne Akian
Emerging Trends in Applied Mathematics and Mechanics (ETAMM), May 2016, Perpignan, France
Communication dans un congrès hal-01425463v1
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Theory of Cost Measures : Convergence of Decision Variables

Marianne Akian
[Research Report] RR-2611, INRIA. 1995
Rapport inria-00074074v1

Fixed points of discrete convex monotone dynamical systems

Marianne Akian
Tropical and Indempotent Mathematics, Aug 2012, Moscow, Russia, Russia
Communication dans un congrès hal-00782808v1

Krein--Milman's and Choquet's theorems in the max-plus world

Marianne Akian , Paul Poncet
Domains XI (International workshop on domain theory and applications), Sep 2014, PARIS, France
Communication dans un congrès hal-01112248v1

Solving Hamilton-Jacobi-Bellman equations by combining a max-plus linear approximation and a probabilistic numerical method

Marianne Akian , Eric Fodjo
22nd International Symposium on Mathematical Theory of Networks and Systems (MTNS), Jul 2016, Minneapolis, United States
Communication dans un congrès hal-01425473v1

Policy iteration algorithm for zero-sum two player stochastic games: complexity bounds involving nonlinear spectral radii

Marianne Akian , Stéphane Gaubert
ILAS, Jun 2013, Providence, United States
Communication dans un congrès hal-00933261v1

Complexity of policy iteration for stochastic zero-sum games

Marianne Akian , Stéphane Gaubert
PGMO-COPI'14, Oct 2014, Paris-Saclay, France
Communication dans un congrès hal-01104409v1

Spectral theorem for convex monotone homogeneous maps, and ergodic control

Marianne Akian , Stéphane Gaubert
Nonlinear Analysis: Theory, Methods and Applications, 2003, 52 (2), pp.637-679. ⟨10.1016/S0362-546X(02)00170-0⟩
Article dans une revue istex inria-00000201v1

Policy iteration for perfect information stochastic mean payoff games with bounded first return times is strongly polynomial

Marianne Akian , Stéphane Gaubert
2013
Pré-publication, Document de travail hal-00881207v1

Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations

Marianne Akian , Eric Fodjo
M. Falcone; R. Ferretti; L. Grune; W. McEneaney. Numerical Methods for Optimal Control Problems, 29, Springer, pp.183-209, 2019, INDAM Series
Chapitre d'ouvrage hal-01675068v1

From a monotone probabilistic scheme to a probabilistic max-plus algorithm for solving Hamilton-Jacobi-Bellman equations

Marianne Akian , Eric Fodjo
Dante Kalise; Karl Kunisch; Zhiping Rao. Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control, 21, De Gruyter, 2018, Radon Ser. Comput. Appl. Math
Chapitre d'ouvrage hal-01675067v1

Multigrid methods for two-player zero-sum stochastic games

Marianne Akian , Sylvie Detournay
Numerical Linear Algebra with Applications, 2012, 19 (2), pp.313--342. ⟨10.1002/nla.1815⟩
Article dans une revue hal-00773036v1
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Spectral Theorem for Convex Monotone Homogeneous Maps, and Ergodic Control

Marianne Akian , Stéphane Gaubert
[Research Report] RR-4273, INRIA. 2001
Rapport inria-00072314v1

Policy iteration for stochastic zero-sum games

Marianne Akian , Stéphane Gaubert
NETCO, Jun 2014, Tours, France
Communication dans un congrès hal-01104405v1

A probabilistic max-plus numerical method for solving stochastic control problems

Marianne Akian , Eric Fodjo
55th Conference on Decision and Control (CDC 2016), Dec 2016, Las Vegas, United States
Communication dans un congrès hal-01425344v1
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The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis

Marianne Akian , Stéphane Gaubert , Asma Lakhoua
[Research Report] RR-5874, INRIA. 2006
Rapport inria-00071395v1

Minimax representation of nonexpansive functions and application to zero-sum recursive games

Marianne Akian , Stéphane Gaubert , Antoine Hochart
Journal of Convex Analysis, 2018, 25 (1)
Article dans une revue hal-01425551v1
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A multilevel fast-marching method

Marianne Akian , Stéphane Gaubert , Shanqing Liu
MTNS 2022 - 25th International Symposium on Mathematical Theory of Networks and Systems, Sep 2022, Bayreuth (DE), Germany
Communication dans un congrès hal-03944192v1

A Multi-Level Fast-Marching Method For The Minimum Time Problem

Marianne Akian , Stéphane Gaubert , Shanqing Liu
2023
Pré-publication, Document de travail hal-04365665v1

Factorization of polynomials over the symmetrized tropical semiring and Descartes' rule of sign over ordered valued fields

Marianne Akian , Stephane Gaubert , Hanieh Tavakolipour
2023
Pré-publication, Document de travail hal-03941832v1

Generic uniqueness of the bias vector of finite stochastic games with perfect information

Marianne Akian , Stéphane Gaubert , Antoine Hochart
Journal of Mathematical Analysis and Applications, 2018, 457, pp.1038-1064. ⟨10.1016/j.jmaa.2017.07.017⟩
Article dans une revue hal-01425543v1

Generic uniqueness of the bias vector of mean payoff zero-sum games

Marianne Akian , Stephane Gaubert , Antoine Hochart
53rd IEEE Conference on Decision and Control, Dec 2014, Los Angeles, United States
Communication dans un congrès hal-01095930v1

Linear algebra over T-pairs

Marianne Akian , Stéphane Gaubert , Louis Rowen
2023
Pré-publication, Document de travail hal-04406848v1