BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250707T045117EDT-3064VjsUND@132.216.98.100 DTSTAMP:20250707T085117Z DESCRIPTION: \n\nTITLE: Modern ``Non''-Problems in Optimization: Applicatio ns to Statistics and Machine Learning\n\nAbstract:  We have witnessed a lo t of exciting development of data science in recent years. From the perspe ctive of optimization\, many modern data-science problems involve some bas ic ``non’’-properties that lack systematic treatment by the current approa ches for the sake of the computation convenience. These non-properties inc lude the coupling of the non-convexity\, non-differentiability and non-det erminism. In this talk\, we present rigorous computational methods for sol ving two typical non-problems: the piecewise linear regression and the fee d-forward deep neural network. The algorithmic framework is an integration of the first order non-convex majorization-minimization method and the se cond order non-smooth Newton methods. Numerical experiments demonstrate th e effectiveness of our proposed approach. Contrary to existing methods for solving non-problems which provide at best very weak guarantees on the co mputed solutions obtained in practical implementation\, our rigorous mathe matical treatment aims to understand properties of these computed solution s with reference to both the empirical and the population risk minimizatio ns. This is based on joint work with Jong-Shi Pang\, Bodhisattva Sen and Z iyu He.\n DTSTART:20190125T210000Z DTEND:20190125T220000Z LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Ying Cui- University of South California URL:/mathstat/channels/event/ying-cui-university-south -california-293620 END:VEVENT END:VCALENDAR