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From low-rank retractions to dynamical low-rank approximation and back

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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

From low-rank retractions to dynamical low-rank approximation and back

Graph Chatbot

Chattez avec Graph Search

Gaussians on Riemannian Manifolds for Robot Learning and Adaptive Control

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

Which form of the molecular Hamiltonian is the most suitable for simulating the nonadiabatic quantum dynamics at a conical intersection?

Meta-concrete by means of discrete element method

Escaping from saddle points on Riemannian manifolds

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

Configuration Spaces Of Products

Efficient geometric integrators for nonadiabatic quantum dynamics. I. The adiabatic representation

Efficient geometric integrators for nonadiabatic quantum dynamics. II. The diabatic representation

On two isomorphic Lie algebroids associated with feedback linearization

Gaussians on Riemannian Manifolds for Robot Learning and Adaptive Control

Efficient geometric integrators for nonadiabatic quantum dynamics. I. The adiabatic representation

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

Configuration Spaces Of Products

Which form of the molecular Hamiltonian is the most suitable for simulating the nonadiabatic quantum dynamics at a conical intersection?

Meta-concrete by means of discrete element method

Efficient geometric integrators for nonadiabatic quantum dynamics. II. The diabatic representation

Escaping from saddle points on Riemannian manifolds

On two isomorphic Lie algebroids associated with feedback linearization

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