kfupm.edu.sa
Contact Us
Home
About us
Overview
Vision & Mission
Dean's Message
Fact Sheet
Contact Us
Academics
Departments
Programs
Dean's List
Research
Research Groups
IT Services
CCM Network Accounts
Printing
Home Directory Access
Student Project Support
Remote Login and VPN
Personal Website
PC Labs in CCM
Email Aliases
Software
Academic Initiative
Security
FAQs
Contacts for Services
People
Dean & Chairmen
College Administration
Events
Home
Events
Events Details
MATH Dept. - Special Seminar by the Distinguished Visitor - Prof. Boris Mordukhovich
Convergence of Descent Optimization Algorithms Under Polyak- Lojasiewicz-Kurdyka Conditions
Date:
Monday, February 17, 2025
Time:
10:00 AM
Location:
Building
5
, Room
103
Speaker:
Prof. Boris Mordukhovich
Department of Mathematics,
Wayne State University
USA.
Abstract:
This paper develops the novel convergence analysis of a generic class of descent methods in nonsmooth and nonconvex optimization under several versions of the Polyak- Lojasiewicz -Kurdyka (PLK) properties. Along with other results, we prove the finite termination of generic algorithms under the PL K property with lower exponents. Specifications are given to convergence rates of some particular algorithms including inexact reduced gradient methods and the boosted algorithm in DC programming. It is revealed, e.g., that the lower exponent PLK property in the DC framework is incompatible with the gradient Lipschitz continuity for the plus function around a local minimizer. On the other hand, we show that the above inconsistency observation may fail if the Lipschitz continuity is replaced by merely the gradient continuity.
Based on joint work with G. Bento, T. Mota and Yu. Nesterov.
All are cordially invited to attend.
Location
Building 5, Room 103
17 Feb, 2025
10:00 AM - 12:00 PM