BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Boris Mordukhovich (Wayne State University) DTSTART:20210201T143000Z DTEND:20210201T153000Z DTSTAMP:20260423T021012Z UID:OWOS/33 DESCRIPTION:Title: Ge neralized Newton Algorithms For Nonsmooth Systems With Applications To Las so\nby Boris Mordukhovich (Wayne State University) as part of One Worl d Optimization seminar\n\n\nAbstract\nWe propose and develop several gener alized Newton-type algorithms to solve nonsmooth optimization problems and subgradient systems that are based on constructions and results of (mainl y second-order) variational analysis and generalized differentiation. Solv ability of these algorithms is proved in rather broad settings\, and then verifiable conditions for their local and global superlinear convergence a re obtained. A special attention is paid to problems of convex composite o ptimization for which a generalized damped Newton algorithm exhibiting glo bal superlinear convergence is designed. The efficiency of the latter algo rithm is demonstrated by solving a class of Lasso problems that are well-r ecognized in applications to machine learning and statistics. For this cla ss of nonsmooth optimization problems\, we conduct numerical experiments a nd compare the obtained results with those achieved by using other first-o rder and second-order methods.\n\nThis talk is based on recent joint works with P. D. Khanh (HCMUE)\, V. T. Phat (WSU)\, M. E. Sarabi (Miami Univ.)\ , and D. B. Tran (WSU).\n\nThe address and password of the zoom room of th e seminar are sent by e-mail on the mailinglist of the seminar one day bef ore each talk\n LOCATION:https://researchseminars.org/talk/OWOS/33/ END:VEVENT END:VCALENDAR