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Linear Speedup In Saddle-Point Escape For Decentralized Non-Convex Optimization

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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

Linear Speedup In Saddle-Point Escape For Decentralized Non-Convex Optimization

Graph Chatbot

Chattez avec Graph Search

On design strategies for binary dielectric metasurfaces based on the Fourier modal method

An Inexact Augmented Lagrangian Framework for Nonconvex Optimization with Nonlinear Constraints

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

Escaping from saddle points on Riemannian manifolds

Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

Stochastic Gradient Descent for Spectral Embedding with Implicit Orthogonality Constraint

Performance limits of stochastic sub-gradient learning, Part II: Multi-agent case

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Asynchronous updates for stochastic gradient descent

Stochastic Three-Composite Convex Minimization

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Asynchronous updates for stochastic gradient descent

On design strategies for binary dielectric metasurfaces based on the Fourier modal method

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

An Inexact Augmented Lagrangian Framework for Nonconvex Optimization with Nonlinear Constraints

Escaping from saddle points on Riemannian manifolds

Stochastic Gradient Descent for Spectral Embedding with Implicit Orthogonality Constraint

Performance limits of stochastic sub-gradient learning, Part II: Multi-agent case

Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

Stochastic Three-Composite Convex Minimization