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20062026
most citedExact Worst-case Performance of First-order Methods for Composite Convex Optimization

109 citations · 430 across the 61 of their papers we have counts for

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28 papers · 1 filter

math.OC2024

Exploiting Agent Symmetries for Performance Analysis of Distributed Optimization Methods

Sebastien Colla, Julien M. Hendrickx

We show that, in many settings, the worst-case performance of a distributed optimization algorithm is independent of the number of agents in the system, and can thus be computed in…

math.OC2024

On the Optimal Communication Weights in Distributed Optimization Algorithms

Sebastien Colla, Julien M. Hendrickx

We establish that in distributed optimization, the prevalent strategy of minimizing the second-largest eigenvalue modulus (SLEM) of the averaging matrix for selecting communication…

math.OC2023

Combinatorial Characterization for Global Identifiability of Separable Networks with Partial Excitation and Measurement

Antoine Legat, Julien M. Hendrickx

This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to…

math.OC2023

Nonlinear network identifiability: The static case

Renato Vizuete, Julien M. Hendrickx

We analyze the problem of network identifiability with nonlinear functions associated with the edges. We consider a static model for the output of each node and by assuming a perfe…

math.OC2023★ 4 cited

Interpolation Constraints for Computing Worst-Case Bounds in Performance Estimation Problems

Anne Rubbens, Nizar Bousselmi, Sebastien Colla +1

The Performance Estimation Problem (PEP) approach consists in computing worst-case performance bounds on optimization algorithms by solving an optimization problem: one maximizes a…

math.OC2023★ 1 cited

Interpolation Conditions for Linear Operators and Applications to Performance Estimation Problems

Nizar Bousselmi, Julien M. Hendrickx, François Glineur

The Performance Estimation Problem methodology makes it possible to determine the exact worst-case performance of an optimization method. In this work, we generalize this framework…