Jun 14, 2017 · Our theory ties rigorous convergence rate analysis to the physically intuitive notion of energy dissipation. Moreover, dissipativity allows one ...

Our theory ties rigorous convergence rate anal- ysis to the physically intuitive notion of energy dissipation.

Abstract. Dissipativity theory is a framework for analyzing dynamical systems based on the notion of energy dissipation in physical or mechanical systems.

In this paper, we adapt the control theoretic concept of dissipativity theory to provide a natural understanding of Nesterov's accelerated method.

This paper adapts the control theoretic concept of dissipativity theory to provide a natural understanding of Nesterov's accelerated method and generalizes ...

The general recipe is: 1. Use properties of f to build a supply rate. 2. Find a storage function that makes a dissipation inequality true.

Jun 14, 2017 · Our theory ties rigorous convergence rate analysis to the physically intuitive notion of energy dissipation. Moreover, dissipativity allows one ...

Dissipativity Theory for Nesterov's Accelerated Method. Supplementary Material. We will make use of the following result throughout this section. Proposition ...

Apr 28, 2021 · Bibliographic details on Dissipativity Theory for Nesterov's Accelerated Method.

Dissipativity theory for Nesterov's accelerated method-book.