The Michigan Engineer News Center

Professor Jon Lee receives research funding from Office of Naval Research

Professor Jon Lee receives research funding from Office of Naval Research for project, "Treating Difficult Nonlinearities in Optimization: Sparse, Global and Integer Optimization."| Short Read

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.

Portrait of Elizabeth Fisher

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Researchers
The electrons absorb laser light and set up “momentum combs” (the hills) spanning the energy valleys within the material (the red line). When the electrons have an energy allowed by the quantum mechanical structure of the material—and also touch the edge of the valley—they emit light. This is why some teeth of the combs are bright and some are dark. By measuring the emitted light and precisely locating its source, the research mapped out the energy valleys in a 2D crystal of tungsten diselenide. Credit: Markus Borsch, Quantum Science Theory Lab, University of Michigan.

Mapping quantum structures with light to unlock their capabilities

Rather than installing new “2D” semiconductors in devices to see what they can do, this new method puts them through their paces with lasers and light detectors. | Medium Read