3 papers
math.CO2026
Commutation classes of reduced words and higher Bruhat orders for affine permutations
Sara Billey, Herman Chau, Kevin Liu
The higher Bruhat orders are partial orders that generalize the weak order on the symmetric group , and the second higher Bruhat order is a poset on commutation classes of red…
cs.LG2025
Machine Learning meets Algebraic Combinatorics: A Suite of Datasets Capturing Research-level Conjecturing Ability in Pure Mathematics
Herman Chau, Helen Jenne, Davis Brown +4
With recent dramatic increases in AI system capabilities, there has been growing interest in utilizing machine learning for reasoning-heavy, quantitative tasks, particularly mathem…
cs.LG2024
Machines and Mathematical Mutations: Using GNNs to Characterize Quiver Mutation Classes
Jesse He, Helen Jenne, Herman Chau +4
Machine learning is becoming an increasingly valuable tool in mathematics, enabling one to identify subtle patterns across collections of examples so vast that they would be imposs…