Aram-Alexandre Pooladian

activity

20192026

most citedEntropic estimation of optimal transport maps

6 citations · 34 across the 26 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.OC2023★ 3 cited

An Explicit Expansion of the Kullback-Leibler Divergence along its Fisher-Rao Gradient Flow

Carles Domingo-Enrich, Aram-Alexandre Pooladian

Let $V_{*} : R^{d} \to R$ be some (possibly non-convex) potential function, and consider the probability measure $π \propto e^{- V_{*}}$ . When $π$ exhibits multiple modes…

math.OC2022★ 6 cited

Debiaser Beware: Pitfalls of Centering Regularized Transport Maps

Aram-Alexandre Pooladian, Marco Cuturi, Jonathan Niles-Weed

Estimating optimal transport (OT) maps (a.k.a. Monge maps) between two measures $P$ and $Q$ is a problem fraught with computational and statistical challenges. A promising approach…

math.OC2020

A Study of One-Parameter Regularization Methods for Mathematical Programs with Vanishing Constraints

Tim Hoheisel, Blanca Pablos, Aram-Alexandre Pooladian +2

Mathematical programs with vanishing constraints (MPVCs) are a class of nonlinear optimization problems with applications to various engineering problems such as truss topology des…