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math.OC2020★ 11 cited
Nonasymptotic analysis of Stochastic Gradient Hamiltonian Monte Carlo under local conditions for nonconvex optimization
Ömer Deniz Akyildiz, Sotirios Sabanis
We provide a nonasymptotic analysis of the convergence of the stochastic gradient Hamiltonian Monte Carlo (SGHMC) to a target measure in Wasserstein-2 distance without assuming log…
math.OC2018
A probabilistic incremental proximal gradient method
Ömer Deniz Akyildiz, Émilie Chouzenoux, Víctor Elvira +1
In this paper, we propose a probabilistic optimization method, named probabilistic incremental proximal gradient (PIPG) method, by developing a probabilistic interpretation of the…