16 citations · 19 across the 9 of their papers we have counts for
9 papers
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…
Completeness from Gravitational Scattering
Francesco Calisto, Clifford Cheung, Grant N. Remmen +2
We prove that symmetry in the presence of gravity implies a version of the completeness hypothesis. For a broad class of theories, we demonstrate that the existence of finitely man…
Strings from Almost Nothing
Clifford Cheung, Grant N. Remmen, Francesco Sciotti +1
We argue that string theory emerges inevitably from a few simple assumptions about physical scattering. Consistency alone requires that all tree-level four-point scattering amplitu…
The role of the pion in the lineshape of the
Angelo Esposito, Davide Germani, Alfredo Glioti +3
We determine the contribution of long-range pion interactions to the dynamics, assuming it is a loosely bound molecule. Our result is based on the dist…