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Combinatorial Disjunctive Constraints for Obstacle Avoidance in Path Planning
Raul Garcia, Illya V. Hicks, Joey Huchette
We present a new approach for modeling avoidance constraints in 2D environments, in which waypoints are assigned to obstacle-free polyhedral regions. Constraints of this form are o…
When Deep Learning Meets Polyhedral Theory: A Survey
Joey Huchette, Gonzalo Muñoz, Thiago Serra +1
In the past decade, deep learning became the prevalent methodology for predictive modeling thanks to the remarkable accuracy of deep neural networks in tasks such as computer visio…
Building Formulations for Piecewise Linear Relaxations of Nonlinear Functions
Bochuan Lyu, Illya V. Hicks, Joey Huchette
We study mixed-integer programming formulations for the piecewise linear lower and upper bounds (in other words, piecewise linear relaxations) of nonlinear functions that can be mo…