16 citations · 19 across the 9 of their papers we have counts for
6 papers · 1 filter
New Records for the Hadamard Maximal Determinant Problem
Giorgi Butbaia, Pragatheeswaran Vipulanandan, Justin Tan +6
The Hadamard maximal determinant problem seeks an matrix with entries in , which maximizes the determinant for a given order $n \in…
New Snake-in-the-Box Records via Snakepit Surgery and Learned Construction
Paul Orland, Lucas Fagan, Michele Tarquini +7
The snake-in-the-box problem asks for a longest induced path in the hypercube graph . We find a length-191 snake in dimension , the lowest dimension where the maximum is…
Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra
Giorgi Butbaia, Paul Orland, Coco Huang +7
Applying machine learning techniques to solving long-standing mathematical conjectures can be particularly challenging due to their extreme reward sparsity. As an illustrative exam…
The Two-Hump Problem: Bridging the Difficulty Gap in Mathematical Reinforcement Learning
Lucas Fagan, Michele Tarquini, Ali Shehper +6
Mathematical search problems present a unique challenge for Reinforcement Learning (RL) due to vast search spaces and sparse rewards. In previous works, the Andrews-Curtis (AC) con…
The Equivalence Principle at High Energies Completes the Spectrum
Francesco Calisto, Clifford Cheung, Grant N. Remmen +2
We prove a version of the completeness hypothesis that follows from the coexistence of symmetry and gravity: tree-level gravitational scattering mandates single-particle states in…
Inverse Problem in Effective Field Theory
Francesco Calisto, Clifford Cheung, Grant N. Remmen +2
We show that the tree-level spectrum of heavy particles can be directly extracted from the Wilson coefficients of the corresponding effective field theory at low energies. This pro…