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An Inexact Augmented Lagrangian Framework for Nonconvex Optimization with Nonlinear Constraints

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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

An Inexact Augmented Lagrangian Framework for Nonconvex Optimization with Nonlinear Constraints

Graph Chatbot

Chattez avec Graph Search

A Catalyst Framework for Minimax Optimization

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

Exploiting structure of chance constrained programs via submodularity

Escaping from saddle points on Riemannian manifolds

Sampling can be faster than optimization

On Certifying Non-Uniform Bounds against Adversarial Attacks

Decentralized Nonlinear Model Predictive Control for 3D Formation of Multirotor Micro Aerial Vehicles with Relative Sensing and Estimation

Analysis of output modifier adaptation for real-time optimization

Linear-parameter-varying approximation of nonlinear dynamics for model predictive flow control of urban multi-region systems

New Algorithmic Paradigms for Discrete Problems using Dynamical Systems and Polynomials

Exploiting structure of chance constrained programs via submodularity

Escaping from saddle points on Riemannian manifolds

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

Sampling can be faster than optimization

A Catalyst Framework for Minimax Optimization

Decentralized Nonlinear Model Predictive Control for 3D Formation of Multirotor Micro Aerial Vehicles with Relative Sensing and Estimation

On Certifying Non-Uniform Bounds against Adversarial Attacks

Analysis of output modifier adaptation for real-time optimization

Linear-parameter-varying approximation of nonlinear dynamics for model predictive flow control of urban multi-region systems

New Algorithmic Paradigms for Discrete Problems using Dynamical Systems and Polynomials