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10/24/2019
Wasserstein information matrix
We study the information matrix for statistical models by L^2-Wasserstei...
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10/21/2019
Kernelized Wasserstein Natural Gradient
Many machine learning problems can be expressed as the optimization of s...
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09/15/2019
Wasserstein Diffusion Tikhonov Regularization
We propose regularization strategies for learning discriminative models ...
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09/04/2019
Accelerated Information Gradient flow
We present a systematic framework for the Nesterov's accelerated gradien...
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07/29/2019
Diffusion Hypercontractivity via Generalized Density Manifold
We prove a one-parameter family of diffusion hypercontractivity and pres...
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07/03/2019
Fisher information regularization schemes for Wasserstein gradient flows
We propose a variational scheme for computing Wasserstein gradient flows...
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05/11/2019
Hessian transport Gradient flows
We derive new gradient flows of divergence functions in the probability ...
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09/29/2018
Multilevel Optimal Transport: a Fast Approximation of Wasserstein-1 distances
We propose a fast algorithm for the calculation of the Wasserstein-1 dis...
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07/18/2018
Ricci curvature for parametric statistics via optimal transport
We elaborate the notion of a Ricci curvature lower bound for parametrize...
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05/22/2018
Natural gradient in Wasserstein statistical manifold
We study the Wasserstein natural gradient in parametric statistical mode...
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03/16/2018