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06/09/2023
Markov bases: a 25 year update
In this paper, we evaluate the challenges and best practices associated ...
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08/25/2022
Turning Mathematics Problems into Games: Reinforcement Learning and Gröbner bases together solve Integer Feasibility Problems
Can agents be trained to answer difficult mathematical questions by play...
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06/12/2022
Geometric Policy Iteration for Markov Decision Processes
Recently discovered polyhedral structures of the value function for fini...
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09/27/2019
Pivot Rules for Circuit-Augmentation Algorithms in Linear Optimization
Circuit-augmentation algorithms are a generalization of the Simplex meth...
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07/23/2019
Stochastic Tverberg theorems and their applications in multi-class logistic regression, data separability, and centerpoints of data
We present new stochastic geometry theorems that give bounds on the prob...
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05/31/2019
Data-driven Algorithm Selection and Parameter Tuning: Two Case studies in Optimization and Signal Processing
Machine learning algorithms typically rely on optimization subroutines a...
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08/01/2018
Tverberg-Type Theorems with Trees and Cycles as (Nerve) Intersection Patterns
Tverberg's theorem says that a set with sufficiently many points in R^d ...
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03/05/2018