Frank–Wolfe and friends: a journey into projection-free first-order optimization methods

Author(s)
Immanuel Bomze, Francesco Rinaldi, Damiano Zeffiro
Abstract

Invented some 65 years ago in a seminal paper by Marguerite Straus-Frank and Philip Wolfe, the Frank-Wolfe method recently enjoys a remarkable revival, fuelled by the need of fast and reliable first-order optimization methods in Data Science and other relevant application areas. This review tries to explain the success of this approach by illustrating versatility and applicability in a wide range of contexts, combined with an account on recent progress in variants, improving on both the speed and efficiency of this surprisingly simple principle of first-order optimization.

Organisation(s)
Department of Statistics and Operations Research, Research Network Data Science, Research Platform Governance of digital practices
External organisation(s)
University of Padova
Journal
4 OR
Volume
19
Pages
313-345
No. of pages
33
ISSN
1619-4500
DOI
https://doi.org/10.1007/s10288-021-00493-y
Publication date
09-2021
Peer reviewed
Yes
Austrian Fields of Science 2012
101015 Operations research
Keywords
ASJC Scopus subject areas
Theoretical Computer Science, Management Information Systems, Computational Theory and Mathematics, Management Science and Operations Research
Portal url
https://ucris.univie.ac.at/portal/en/publications/frankwolfe-and-friends-a-journey-into-projectionfree-firstorder-optimization-methods(d8e5ac9d-80b8-4112-9c2d-1ff124cda213).html