Abstract: For mixed-integer linear programming and local nonlinear programming, over the last 50+ years, good modeling practices have become well known, and many important mathematical and algorithmic principles are now absorbed by solvers. For other important categories of optimization problems, mathematical and algorithmic theory and practice are much less developed. We are addressing several key issues: optimizing sparsity, handling non-smooth and nonconvex functions in the context of global optimization, and addressing integrality issues in the presence of nonlinearities.
Professor Jon Lee receives research funding from Office of Naval Research
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