28 juillet 2025 à 1 août 2025
Fuseau horaire Europe/Paris

Linear Convergence in Bundle Progressive Hedging and its link to Proximal Decomposition

1 août 2025, 10:45
30m
F107

F107

Contributed talk Stochastic Programming Stochastic Programming

Orateur

Théo Molfessis (École Polytechnique)

Description

Progressive Hedging and Proximal Decomposition are popular splitting methods for large-scale stochastic optimization. We present a formal equivalence between Progressive Hedging and Proximal Decomposition when the nonanticipativity constraint is a subspace, as well as a result of linear convergence of their bundle versions under standard error-bound assumptions once an infinite null-step tail appears—a situation for which convergence rates in bundle methods have not been analyzed previously.

Joint work with Felipe Atenas, Claudia Sagastizábal and Mikhail Solodov

Author

Théo Molfessis (École Polytechnique)

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