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20182021
most citedKernelized Wasserstein Natural Gradient

5 citations · 10 across the 3 of their papers we have counts for

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7 papers · 1 filter

stat.ML20213 cited

KALE Flow: A Relaxed KL Gradient Flow for Probabilities with Disjoint Support

Pierre Glaser, Michael Arbel, Arthur Gretton

We study the gradient flow for a relaxed approximation to the Kullback-Leibler (KL) divergence between a moving source and a fixed target distribution. This approximation, termed t…

stat.ML2021

Annealed Flow Transport Monte Carlo

Michael Arbel, Alexander G. D. G. Matthews, Arnaud Doucet

Annealed Importance Sampling (AIS) and its Sequential Monte Carlo (SMC) extensions are state-of-the-art methods for estimating normalizing constants of probability distributions. W…

stat.ML2020

Estimating Barycenters of Measures in High Dimensions

Samuel Cohen, Michael Arbel, Marc Peter Deisenroth

Barycentric averaging is a principled way of summarizing populations of measures. Existing algorithms for estimating barycenters typically parametrize them as weighted sums of Dira…

stat.ML2020

A Non-Asymptotic Analysis for Stein Variational Gradient Descent

Anna Korba, Adil Salim, Michael Arbel +2

We study the Stein Variational Gradient Descent (SVGD) algorithm, which optimises a set of particles to approximate a target probability distribution on $\mathbb{…

stat.ML20195 cited

Kernelized Wasserstein Natural Gradient

Michael Arbel, Arthur Gretton, Wuchen Li +1

Many machine learning problems can be expressed as the optimization of some cost functional over a parametric family of probability distributions. It is often beneficial to solve s…

stat.ML2019

Maximum Mean Discrepancy Gradient Flow

Michael Arbel, Anna Korba, Adil Salim +1

We construct a Wasserstein gradient flow of the maximum mean discrepancy (MMD) and study its convergence properties. The MMD is an integral probability metric defined for a reprodu…