51 citations · 202 across the 34 of their papers we have counts for
4 papers · 1 filter
Extragradient Method in Optimization: Convergence and Complexity
Trong Phong Nguyen, Edouard Pauwels, Emile Richard +1
We consider the extragradient method to minimize the sum of two functions, the first one being smooth and the second being convex. Under the Kurdyka-Lojasiewicz assumption, we prov…
Sorting out typicality with the inverse moment matrix SOS polynomial
Jean-Bernard Lasserre, Edouard Pauwels
We study a surprising phenomenon related to the representation of a cloud of data points using polynomials. We start with the previously unnoticed empirical observation that, given…
Positivity certificates in optimal control
Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre
We propose a tutorial on relaxations and weak formulations of optimal control with their semidefinite approximations. We present this approach solely through the prism of positivit…
The value function approach to convergence analysis in composite optimization
Edouard Pauwels
This works aims at understanding further convergence properties of first order local search methods with complex geometries. We focus on the composite optimization model which unif…