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FOLDS seminar: Heaviside Composite Optimization: A new paradigm of optimization
September 18, 2025 at 12:00 PM - 1:00 PM
Zoom link: https://upenn.zoom.us/j/98220304722
A Heaviside function is an indicator function of a semi-infinite interval. A Heaviside composite function is a Heaviside function composed with a multivariate function that may be nonsnooth. This talk presents a touch of this novel class of discontinuous optimization problems that borders on continuous and discrete optimization. Among the rich applications of such problems, we mention one pertaining to classification and treatment with constraints solvable by an elementary yet novel progressive integer programming (PIP) method that can be applied broadly to many other problems, including indefinite quadratic programs and linear programs with linear complementarity constraints. Computational results demonstrate the excellent performance of the PIP idea and its superiority over a full integer programming approach.
Jong-Shi Pang
Epstein Family Chair and Distinguished Professor of Industrial and Systems Engineering
Elected a member of the National Academy of Engineering in February 2021 and appointed a Distinguished Professor in April 2023, Jong-Shi Pang joined the University of Southern California as the Epstein Family Chair and Professor of Industrial and Systems Engineering in August 2013. Prior to this position, he was the Caterpillar Professor and Head of the Department of Industrial and Enterprise Systems Engineering at the University of Illinois at Urbana-Champagne for six years between 2007 and 2013. He held the position of the Margaret A. Darrin Distinguished Professor in Applied Mathematics in the Department of Mathematical Sciences and was a Professor of Decision Sciences and Engineering Systems at Rensselaer Polytechnic Institute from 2003 to 2007. He was a Professor in the Department of Mathematical Sciences at the Johns Hopkins University from 1987 to 2003, an Associate Professor and then Professor in the School of Management from 1982 to 1987 at the University of Texas at Dallas, and an Assistant and then an Associate Professor in the Graduate School of Industrial Administration at Carnegie-Mellon University from 1977 to 1982. During 1999 and 2001 (full time) and 2002 (part-time), he was a Program Director in the Division of Mathematical Sciences at the National Science Foundation. Professor Pang has served as the Department Academic Advisor of the Department of Mathematics at the Hong Kong Polytechnic University. He has given many distinguished lectures at universities worldwide and plenary lectures at international conferences.