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An Efficient Sampling Algorithm for Non-smooth Composite Potentials

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Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

Nicolas Henri Bernard Flammarion

We consider minimizing a nonconvex, smooth function

f

on a Riemannian manifold

\mathcal{M}

. We show that a perturbed version of Riemannian gradient descent algorithm converges to a second-order stationary point (and hence is able to escape saddle point ...

2019

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

Graph Chatbot

Chattez avec Graph Search

Gibbs sampling the posterior of neural networks

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

Spectral analysis for transmission eigenvalue problems with and without the complementing conditions

Forward-Backward Splitting for Optimal Transport Based Problems

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

On the asymptotic behavior of the solutions to parabolic variational inequalities

Log Barriers for Safe Non-convex Black-box Optimization

Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

Efficient Greedy Coordinate Descent for Composite Problems

Fast Automatic Smoothing for Generalized Additive Models

Gibbs sampling the posterior of neural networks

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

Spectral analysis for transmission eigenvalue problems with and without the complementing conditions

On the asymptotic behavior of the solutions to parabolic variational inequalities

Log Barriers for Safe Non-convex Black-box Optimization

Forward-Backward Splitting for Optimal Transport Based Problems

Efficient Greedy Coordinate Descent for Composite Problems

Fast Automatic Smoothing for Generalized Additive Models