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3-manifold

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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

3-manifold

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Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators*

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

Homotopical relations between 2-dimensional categories and their infinity-analogues

Gaussians on Riemannian Manifolds for Robot Learning and Adaptive Control

Finite Element Modeling of Tight Elastic Knots

Symplectic dynamical low rank approximation of wave equations with random parameters

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

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

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

Homotopical relations between 2-dimensional categories and their infinity-analogues

Symplectic dynamical low rank approximation of wave equations with random parameters

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

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

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

Gaussians on Riemannian Manifolds for Robot Learning and Adaptive Control

Finite Element Modeling of Tight Elastic Knots

Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators*

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

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