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. This project explores a new paradigm: Learning to Optimize for large-scale Mixed-Integer Nonlinear Programming (MINLP) problems in Unit Commitment. By combining machine learning with structured optimization
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design of instrument performance. key words mathematical modeling; differential equations; simulation; perturbation methods; optimization Eligibility citizenship Open to U.S. citizens level Open to
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of microbial communities. · Apply active learning strategies to optimize experimental design. · Integrate genetic and functional data using high-throughput experimental datasets. · Collaborate
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implementations on computers. We are particularly interested in nonlinear optimization problems, which involve computationally intensive function evaluations. Such problems are ubiquitous; they arise in simulations
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, the parameter adjustments are usually performed in a brute-force manner, without considerations of nonlinear coupling between multiple parameters. As a result, the models (that reproduce the data that they were
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electricity markets; conducting research in nonlinear, convex, and mixed-integer nonlinear optimization; designing and implementing advanced computational and algorithmic solutions; performing computational
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optimization, including integer, nonlinear, and combinatorial optimization; global and non-convex optimization; machine learning for optimization; explainable artificial intelligence; heuristic and metaheuristic
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optimization and applications to large scale problems, nonlinear preconditioners in high performance computing, computational mechanics, the PETSc toolkit, or PDE-constrained optimization. Any project is
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and compare/interpret field data Collaborate with mechanical design and manufacturing teams to develop solutions that optimize performance while ensuring manufacturability Summarize key findings
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improvements. Examples include optimizing the squeezing of the vacuum to minimize quantum noise, a prototype cryogenic interferometer, using machine learning for nonlinear feedback control, devising techniques