Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Regularized Diffusion Adaptation via Conjugate Smoothing
 
research article

Regularized Diffusion Adaptation via Conjugate Smoothing

Vlaski, Stefan  
•
Vandenberghe, Lieven
•
Sayed, Ali H.  
May 1, 2022
Ieee Transactions On Automatic Control

The purpose of this article is to develop and study a decentralized strategy for Pareto optimization of an aggregate cost consisting of regularized risks. Each risk is modeled as the expectation of some loss function with unknown probability distribution, while the regularizers are assumed deterministic, but are not required to be differentiable or even continuous. The individual, regularized, cost functions are distributed across a strongly connected network of agents, and the Pareto optimal solution is sought by appealing to a multiagent diffusion strategy. To this end, the regularizers are smoothed by means of infimal convolution, and it is shown that the Pareto solution of the approximate smooth problem can be made arbitrarily close to the solution of the original nonsmooth problem. Performance bounds are established under conditions that are weaker than assumed before in the literature and, hence, applicable to a broader class of adaptation and learning problems.

  • Details
  • Metrics
Type
research article
DOI
10.1109/TAC.2021.3081073
Web of Science ID

WOS:000794194000017

Author(s)
Vlaski, Stefan  
Vandenberghe, Lieven
Sayed, Ali H.  
Date Issued

2022-05-01

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

Published in
Ieee Transactions On Automatic Control
Volume

67

Issue

5

Start page

2343

End page

2358

Subjects

Automation & Control Systems

•

Engineering, Electrical & Electronic

•

Engineering

•

smoothing methods

•

aggregates

•

eigenvalues and eigenfunctions

•

cost function

•

pareto optimization

•

linear matrix inequalities

•

electrical engineering

•

diffusion strategy

•

distributed optimization

•

nonsmooth regularizer

•

proximal diffusion

•

proximal operator

•

regularized diffusion

•

smoothing

•

least-mean squares

•

adaptive networks

•

optimization

•

consensus

•

convergence

•

algorithms

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
ASL  
Available on Infoscience
June 6, 2022
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/188305
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés