51 citations · 83 across the 5 of their papers we have counts for
5 papers
Heilbronn's Problem in the Unit Triangle: Certified Optimal Configurations for up to
Nathan Sudermann-Merx
We study Heilbronn's triangle problem in the unit right triangle, where points are placed to maximize the smallest of the triangle areas they span. We prove a bo…
From Computational Certification to Exact Coordinates: Heilbronn's Triangle Problem on the Unit Square Using Mixed-Integer Optimization
Nathan Sudermann-Merx
We develop a mixed-integer nonlinear programming (MINLP) approach for the classical Heilbronn triangle problem, demonstrating the capability of modern global optimization solvers t…
Tree ensemble kernels for Bayesian optimization with known constraints over mixed-feature spaces
Alexander Thebelt, Calvin Tsay, Robert M. Lee +4
Tree ensembles can be well-suited for black-box optimization tasks such as algorithm tuning and neural architecture search, as they achieve good predictive performance with little…
Multi-Objective Constrained Optimization for Energy Applications via Tree Ensembles
Alexander Thebelt, Calvin Tsay, Robert M. Lee +4
Energy systems optimization problems are complex due to strongly non-linear system behavior and multiple competing objectives, e.g. economic gain vs. environmental impact. Moreover…
ENTMOOT: A Framework for Optimization over Ensemble Tree Models
Alexander Thebelt, Jan Kronqvist, Miten Mistry +3
Gradient boosted trees and other regression tree models perform well in a wide range of real-world, industrial applications. These tree models (i) offer insight into important pred…