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Optimal control of geodesics in Riemannian manifolds

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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

Optimal control of geodesics in Riemannian manifolds

Graph Chatbot

Chattez avec Graph Search

Escaping from saddle points on Riemannian manifolds

Bayesian Optimization Meets Riemannian Manifolds in Robot Learning

Renormalization of quantum field theory on Riemannian manifolds

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

Dynamical Reduced Basis Methods for Hamiltonian Systems

A finite element framework based on bivariate simplex splines on triangle configurations

Numerical Approximation Of Orthogonal Maps

Current and pressure gradient triggering and nonlinear saturation of low-n edge harmonic oscillations in tokamaks

A Moment‐Based Kinetic Model for Efficient Numerical Implementation

Adaptive Isogeometric Methods With Hierarchical Splines: An Overview

Escaping from saddle points on Riemannian manifolds

Bayesian Optimization Meets Riemannian Manifolds in Robot Learning

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

Renormalization of quantum field theory on Riemannian manifolds

Current and pressure gradient triggering and nonlinear saturation of low-n edge harmonic oscillations in tokamaks

Adaptive Isogeometric Methods With Hierarchical Splines: An Overview

Dynamical Reduced Basis Methods for Hamiltonian Systems

Numerical Approximation Of Orthogonal Maps

A finite element framework based on bivariate simplex splines on triangle configurations

A Moment‐Based Kinetic Model for Efficient Numerical Implementation