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Probability in computational physics and biology: some mathematical contributions

Mathias Rousset
Probability [math.PR]. Université Paris-Est, 2014
HDR tel-01435978v1

Langevin dynamics with constraints and computation of free energy differences

Tony Lelièvre , Mathias Rousset , Gabriel Stoltz
2010
Pré-publication, Document de travail hal-00495517v1
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Unbiasedness of some generalized adaptive multilevel splitting algorithms

Charles-Edouard Bréhier , Maxime Gazeau , Ludovic Goudenège , Tony Lelièvre , Mathias Rousset
The Annals of Applied Probability, 2016, 26 (6), pp.3559 - 3601. ⟨10.1214/16-AAP1185⟩
Article dans une revue hal-01142704v1

Analysis and simulation of rare events for SPDEs

Charles-Edouard Bréhier , Maxime Gazeau , Ludovic Goudenège , Mathias Rousset
ESAIM: Proceedings and Surveys, 2015, 48, pp.364-384. ⟨10.1051/proc/201448017⟩
Article dans une revue hal-02746493v1
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Entropy minimizing distributions are worst-case optimal importance proposals

Frédéric Cérou , Patrick Héas , Mathias Rousset
2022
Pré-publication, Document de travail hal-03889404v1
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On a probabilistic interpretation of shape derivatives of Dirichlet groundstates with application to Fermion nodes.

Mathias Rousset
[Research Report] 2010
Rapport inria-00447396v1
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Analysis and simulation of rare events for SPDE

Charles-Edouard Bréhier , Maxime Gazeau , Ludovic Goudenège , Mathias Rousset
2014
Pré-publication, Document de travail hal-00921680v1

Adaptive Reduced Multilevel Splitting

Frédéric Cérou , Patrick Héas , Mathias Rousset
2023
Pré-publication, Document de travail hal-04364553v1
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Stochastic Acceleration in an Inhomogenous Time Random Force Field

Thierry Goudon , Mathias Rousset
2009
Pré-publication, Document de travail inria-00384365v1
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A central limit theorem for Fleming–Viot particle systems

Frédéric Cérou , Bernard Delyon , Arnaud Guyader , Mathias Rousset
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2020, 56 (1), pp.637-666. ⟨10.1214/19-AIHP976⟩
Article dans une revue hal-02484209v1
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Analysis of Adaptive Multilevel Splitting algorithms in an idealized case

Charles-Edouard Bréhier , Tony Lelièvre , Mathias Rousset
ESAIM: Probability and Statistics, 2015, 19, ⟨10.1051/ps/2014029⟩
Article dans une revue hal-00987297v1

Uncertainty of Atmospheric Motion Vectors by Sampling Tempered Posterior Distributions

Patrick Héas , Frédéric Cérou , Mathias Rousset
2022
Pré-publication, Document de travail hal-03777922v1
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Individual-based models for bacterial chemotaxis in the diffusion asymptotics

Mathias Rousset , Giovanni Samaey
Mathematical Models and Methods in Applied Sciences, 2013, 23 (11), pp.2005 - 2037. ⟨10.1142/S0218202513500243⟩
Article dans une revue inria-00425065v2

Free energy computation: a mathematical perspective.

Tony Lelièvre , Mathias Rousset , Gabriel Stoltz
Imperial College Press, pp.1-472, 2010, 978-1848162471
Ouvrages hal-00781565v1

AN INTERACTING PARTICLE APPROACH SYSTEM APPROACH FOR MOLECULAR DYNAMICS

Mathias Rousset , Gabriel Stoltz
2005
Pré-publication, Document de travail hal-00008276v1
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Exact targeting of Gibbs distributions using velocity-jump processes

Pierre Monmarché , Mathias Rousset , Pierre-André Zitt
Stochastics and Partial Differential Equations: Analysis and Computations, 2022, ⟨10.1007/s40072-022-00247-9⟩
Article dans une revue hal-02916073v2

Hybrid Monte Carlo methods for sampling probability measures on submanifolds

Tony Lelièvre , Mathias Rousset , Gabriel Stoltz
Numerische Mathematik, 2019, 143 (2), pp.379-421. ⟨10.1007/s00211-019-01056-4⟩
Article dans une revue hal-01832820v1
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Reducing Variance by Reweighting Samples

Mathias Rousset , Yushun Xu , Pierre-André Zitt
2019
Pré-publication, Document de travail hal-01925646v2
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Actes de la conférence CAID 2021 (Conference on Artificial Intelligence for Defense)

Alexandre Dey , Benjamin Costé , Éric Totel , Adrien Bécue , Elkin Aguas , et al.
CAID 2021 (Conference on Artificial Intelligence for Defense), pp.1-152, 2021
Proceedings/Recueil des communications hal-03535661v1
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A $N$-uniform quantitative Tanaka's theorem for the conservative Kac's $N$-particle system with Maxwell molecules.

Mathias Rousset
2014
Pré-publication, Document de travail hal-01020012v2

A Central Limit Theorem for Fleming-Viot Particle Systems with Hard Killing

Frédéric Cérou , Bernard Delyon , Arnaud Guyader , Mathias Rousset
2017
Pré-publication, Document de travail hal-01614094v1

On Synchronized Fleming-Viot Particle Systems

Frédéric Cérou , Arnaud Guyader , Mathias Rousset
Theory of Probability and Mathematical Statistics, 2021, 102, pp.45-71. ⟨10.1090/tpms/1127⟩
Article dans une revue hal-02362847v1
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Adaptive multilevel splitting for Monte Carlo particle transport

Henri Louvin , Eric Dumonteil , Tony Lelièvre , Mathias Rousset , Cheikh M. Diop
EPJ N - Nuclear Sciences & Technologies, 2017, 3, pp.29. ⟨10.1051/epjn/2017022⟩
Article dans une revue cea-01794118v1
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A Weak Overdamped Limit Theorem for Langevin Processes

Mathias Rousset , Yushun Xu , Pierre-André Zitt
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2020, 17 (1), pp.1-21. ⟨10.30757/ALEA.v17-01⟩
Article dans une revue hal-01596954v2

Modeling and simulation of fluid-particles flows

Thierry Goudon , Pauline Lafitte , Mathias Rousset
Series in Contemporary Applied Mathematics, 2010, Some Problems on Nonlinear Hyperbolic Equations and Applications, pp.100-130. ⟨10.1142/9789814322898_0005⟩
Article dans une revue hal-00768631v1
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Efficient Statistical Assessment of Neural Network Corruption Robustness

Karim Tit , Teddy Furon , Mathias Rousset
NeurIPS 2021 - 35th Conference on Neural Information Processing Systems, Dec 2021, Sydney (virtual), Australia
Communication dans un congrès hal-03407011v2
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Évaluation statistique efficace de la robustesse de classifieurs

Karim Tit , Teddy Furon , Mathias Rousset , Louis-Marie Traonouez
CAID 2021 - Conference on Artificial Intelligence for Defense, DGA, DGNUM, Ministère des Armées, Nov 2021, Rennes, France. pp.1-11
Communication dans un congrès hal-03462156v1
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Adaptive Multilevel Splitting: Historical Perspective and Recent Results

Frédéric Cérou , Arnaud Guyader , Mathias Rousset
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019, 29 (4), pp.1-32. ⟨10.1063/1.5082247⟩
Article dans une revue hal-01936611v2
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Scalable and Quasi-Contractive Markov Coupling of Maxwell Collision

Mathias Rousset
2013
Pré-publication, Document de travail hal-00915495v3
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Simulating individual-based models of bacterial chemotaxis with asymptotic variance reduction

Mathias Rousset , Giovanni Samaey
Mathematical Models and Methods in Applied Sciences, 2013, 23 (12), pp.2155 - 2191. ⟨10.1142/S0218202513500292⟩
Article dans une revue hal-00643324v1