Conferences, Lectures, & Seminars
Events for September
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Epstein Institute Seminar - ISE 651
Tue, Sep 01, 2015 @ 03:30 PM - 04:50 PM
Daniel J. Epstein Department of Industrial and Systems Engineering
Conferences, Lectures, & Seminars
Speaker: John E. Mitchell, PhD, Rensselaer Polytechnic University
Talk Title: A Convex Reformulation of Rank-constrained Optimization Problems
Series: Epstein Institute Seminar
Abstract: Low rank approximations are desirable in many settings. We show that the problem of minimizing a linear or convex quadratic objective function of a matrix subject to linear constraints and an upper bound on the rank is equivalent to a convex conic optimization problem. The reformulation first represents the problem as a semidefinite program with conic complementarity constraints and then lifts the problem to give an equivalent convex conic optimization problem. The rank-sparsity decomposition problem falls within our framework.
Biography: John Mitchell is a Professor of Mathematical Sciences and of Industrial and Systems Engineering at Rensselaer Polytechnic Institute. He earned a PhD in operations research from Cornell University. He has multiple publications on interior point column generation, semidefinite programming, mathematical programs with complementarity constraints, integer programming, and applications of optimization. His research is concerned with the interplay between different areas of optimization, for example using continuous optimization techniques to solve discrete optimization problems, or employing integer programming techniques to solve problems with complementarity constraints, or exploiting strong convex relaxations of nonconvex optimization problems. His applied optimization projects include the development of recovery plans for interdependent infrastructure systems after a disaster, scheduling sports leagues, path planning in robotics, and financial optimization.
Host: Dr. Jong-Shi Pang
More Information: September 1, 2015_John Mitchell.pdf
Location: 206
Audiences: Everyone Is Invited
Contact: Tina Rothstein
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Epstein Institute Seminar - ISE 651
Tue, Sep 08, 2015 @ 03:30 PM - 04:50 PM
Daniel J. Epstein Department of Industrial and Systems Engineering
Conferences, Lectures, & Seminars
Speaker: Jack Xin, PhD, University of California, Irvine
Talk Title: Minimizing the Difference of L1 and L2 Norms and Applications
Series: Epstein Institute Seminar
Abstract: L1 norm minimization is the widely used convex method for enforcing sparsity in signal recovery and model selection. In this talk, we introduce a non-convex Lipschitz continuous function, the difference of L1 and L2 norms (DL12), and discuss its sparsity promoting properties. Using examples in compressed sensing and imaging, we show that there can be plenty of gain beyond L1 by minimizing DL12 at a moderate level of additional computation via the difference of convex function algorithms. We draw connection of DL12 with penalty functions in statistics and machine learning, and remark on future research.
Biography: Jack Xin has been Professor of Mathematics at UC Irvine since 2005. He received his Ph.D in applied mathematics at Courant Institute, New York University in 1990. He was a postdoctoral fellow at Berkeley and Princeton in 1991 and 1992. He was assistant and associate professor of mathematics at the University of Arizona from 1991 to 1999. He was professor of mathematics from 1999 to 2005 at the University of Texas at Austin.
His research interests include applied analysis, computational methods and their applications in multi-scale problems, sparse optimization, and data science. He authored over hundred journal papers and two Springer books. He is a fellow of the Guggenheim Foundation, and the American Mathematical Society. He is Editor-in-Chief of Society of Industrial and Applied Mathematics (SIAM) Interdisciplinary Journal Multi-scale Modeling & Simulation (MMS).
Host: Dr. Jong-Shi Pang
More Information: September 8, 2015_Jack Xin.pdf
Location: Ethel Percy Andrus Gerontology Center (GER) - 206
Audiences: Everyone Is Invited
Contact: Tina Rothstein
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Epstein Institute Seminar - ISE 651
Tue, Sep 15, 2015 @ 03:30 PM - 04:50 PM
Daniel J. Epstein Department of Industrial and Systems Engineering
Conferences, Lectures, & Seminars
Speaker: Andrew Liu, PhD, Purdue University
Talk Title: Convergent Decentralized Algorithms for Certain Nash Equilibrium Problems
Series: Epstein Institute Seminar
Host: Dr. Suvrajeet Sen
More Information: September 15, 2015_Andrew Liu.pdf
Location: Ethel Percy Andrus Gerontology Center (GER) - 206
Audiences: Everyone Is Invited
Contact: Tina Rothstein
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Epstein Institute Seminar - ISE 651
Tue, Sep 22, 2015 @ 03:30 PM - 04:50 PM
Daniel J. Epstein Department of Industrial and Systems Engineering
Conferences, Lectures, & Seminars
Speaker: Mahdi Soltanolkotabi, PhD, Department of Electrical Engineering -“ Systems, University of Southern California
Talk Title: Solving Quadratic Equations via Non-convex Optimization: Theory and Algorithms
Series: Epstein Institute Seminar
Host: Dr. Jong-Shi Pang
More Information: September 22, 2015_Mahdi Soltanolkotabi.pdf
Location: Ethel Percy Andrus Gerontology Center (GER) - 206
Audiences: Everyone Is Invited
Contact: Tina Rothstein
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Epstein Institute Seminar
Mon, Sep 28, 2015 @ 03:30 PM - 04:50 PM
Daniel J. Epstein Department of Industrial and Systems Engineering
Conferences, Lectures, & Seminars
Speaker: C.F. Jeff Wu, Coca Cola Chair, the School of Industrial and Systems Engineering, Georgia Institute of Technology
Talk Title: From real world problems to esoteric research: examples and personal experience
Series: Epstein Institute Seminar
Host: Dr. Qiang Huang
More Information: September 28, 2015_C. F. Jeff Wu.pdf
Location: Ethel Percy Andrus Gerontology Center (GER) - 206
Audiences: Everyone Is Invited
Contact: Tina Rothstein
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Epstein Institute Seminar - ISE 651
Tue, Sep 29, 2015 @ 03:30 PM - 04:50 PM
Daniel J. Epstein Department of Industrial and Systems Engineering
Conferences, Lectures, & Seminars
Speaker: Jingyan Dong, PhD, North Carolina State University
Talk Title: Electrohydrodynamic (EHD) printing for high resolution 2D patterning and additive manufacturing
Series: Epstein Institute Seminar
Host: Dr. Yong Chen
More Information: September 29, 2015_Jingyan Dong.pdf
Location: Ethel Percy Andrus Gerontology Center (GER) - 206
Audiences: Everyone Is Invited
Contact: Tina Rothstein