Concept

Smooth structure

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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

Smooth structure

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A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

A Low-Parametric Rhombic Microstructure Family for Irregular Lattices

Correcting for non-periodic behaviour in perturbative experiments: application to heat pulse propagation and modulated gas-puff experiments

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

Escaping from saddle points on Riemannian manifolds

Rh-I, Ir-III ,and Co-III Complexes with Atropchiral Biaryl Cyclopentadienyl Ligands: Syntheses, Structures, and Catalytic Activities

Exact Smooth Term Structure Estimation

Exact Smooth Term-Structure Estimation

A Dynamical System Based Approach for Controlling Robotic Manipulators During Non-contact/Contact Transitions

A data-driven shock capturing approach for discontinuous Galekin methods

A Low-Parametric Rhombic Microstructure Family for Irregular Lattices

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

A Dynamical System Based Approach for Controlling Robotic Manipulators During Non-contact/Contact Transitions

Exact Smooth Term-Structure Estimation

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

A data-driven shock capturing approach for discontinuous Galekin methods

Rh-I, Ir-III ,and Co-III Complexes with Atropchiral Biaryl Cyclopentadienyl Ligands: Syntheses, Structures, and Catalytic Activities

Exact Smooth Term Structure Estimation

Correcting for non-periodic behaviour in perturbative experiments: application to heat pulse propagation and modulated gas-puff experiments

Escaping from saddle points on Riemannian manifolds