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Liouville type theorems for mappings with bounded (co)-distortion

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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

Liouville type theorems for mappings with bounded (co)-distortion

Graph Chatbot

Chattez avec Graph Search

A structured prediction approach for robot imitation learning

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Continuation Methods For Riemannian Optimization

Gaussians on Riemannian Manifolds for Robot Learning and Adaptive Control

Escaping from saddle points on Riemannian manifolds

Renormalization of quantum field theory on Riemannian manifolds

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

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

Some regularity results for p-harmonic mappings between Riemannian manifolds

A central limit theorem for integrals of random waves

A structured prediction approach for robot imitation learning

Renormalization of quantum field theory on Riemannian manifolds

Continuation Methods For Riemannian Optimization

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Gaussians on Riemannian Manifolds for Robot Learning and Adaptive Control

Escaping from saddle points on Riemannian manifolds

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

Some regularity results for p-harmonic mappings between Riemannian manifolds

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

A central limit theorem for integrals of random waves