Optimization algorithms and
software. Faster and more effective algorithms and software for
nonlinear, mixed-integer, and linear programming.
Feasibility and
infeasibility in optimization. Ways of reaching a feasible solution
more quickly for nonlinear and mixed-integer programs, and of analyzing
infeasible optimization models. Spin-off applications from algorithms for
analyzing infeasibility.
Optimization formulation
assistants. Automated tools for analyzing and debugging optimization
models. For example, one tool analyzes the shape of nonlinear functions
and regions to help select the correct solver.
Data classifiers.
A new approach for finding good data classifiers arises from an infeasibility
analysis algorithm. What is the best way to use this to develop better
data classifiers?