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A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis

Jacob Leygonie , Mathieu Carrière , Théo Lacombe , Steve Oudot
Mathematical Programming, 2023, 202, pp.199-239. ⟨10.1007/s10107-023-01931-x⟩
Article dans une revue hal-03330940v2
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Stochastic optimization with momentum: convergence, fluctuations, and traps avoidance

Anas Barakat , Pascal Bianchi , Walid Hachem , Sholom Schechtman
Electronic Journal of Statistics , 2021, 15 (2), pp.3892-3947. ⟨10.1214/21-EJS1880⟩
Article dans une revue hal-03310455v1
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Distributed Hypothesis Testing: Cooperation and Concurrent Detection

Pierre Escamilla , Michèle Wigger , Abdellatif Zaidi
IEEE Transactions on Information Theory, 2020, 66 (12), pp.7550-7564. ⟨10.1109/TIT.2020.3019654⟩
Article dans une revue hal-02940419v1
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Climate Science at the Interface Between Topological Data Analysis and Dynamical Systems Theory

Davide Faranda , Théo Lacombe , Nina Otter , Kristian Strommen
Notices of the American Mathematical Society, 2024, 71, pp.267-271. ⟨10.1090/noti2864⟩
Article dans une revue hal-04396161v1
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Stochastic Subgradient Descent Escapes Active Strict Saddles on Weakly Convex Functions

Pascal Bianchi , Walid Hachem , Sholom Schechtman
Mathematics of Operations Research, In press, ⟨10.1287/moor.2021.0194⟩
Article dans une revue hal-03442137v3
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A Fully Stochastic Primal-Dual Algorithm

Pascal Bianchi , Walid Hachem , Adil Salim
Optimization Letters, 2020, ⟨10.1007/s11590-020-01614-y⟩
Article dans une revue hal-02369882v2
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Long run convergence of discrete-time interacting particle systems of the McKean-Vlasov type

Pascal Bianchi , Walid Hachem , Victor Priser
2024
Pré-publication, Document de travail hal-04512759v3
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Convergence of constant step stochastic gradient descent for non-smooth non-convex functions

Pascal Bianchi , Walid Hachem , Sholom Schechtman
Set-Valued and Variational Analysis, 2022, 30 (3), pp.1117-1147. ⟨10.1007/s11228-022-00638-z⟩
Article dans une revue hal-02564349v3