13 citations · 22 across the 10 of their papers we have counts for
14 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…
Interpretable Machine Learning for Kronecker Coefficients
Giorgi Butbaia, Kyu-Hwan Lee, Fabian Ruehle
We analyze the saliency of neural networks and employ interpretable machine learning models to predict whether the Kronecker coefficients of the symmetric group are zero or not. Ou…
Machine learning the vanishing order of rational L-functions
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we study the vanishing order of rational -functions from a data scientific perspective. Each -function is represented in our data by finitely many Dirichlet co…
Learning Fricke signs from Maass form Coefficients
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we conduct a data-scientific investigation of Maass forms. We find that averaging the Fourier coefficients of Maass forms with the same Fricke sign reveals patterns…
Neural Vector Tomography for Reconstructing a Magnetization Vector Field
Giorgi Butbaia, Jiadong Zang
Discretized techniques for vector tomographic reconstructions are prone to producing artifacts in the reconstructions. The quality of these reconstructions may further deteriorate…
cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
We introduce \texttt{cymyc}, a high-performance Python library for numerical investigation of the geometry of a large class of string compactification manifolds and their associate…
Precision String Phenomenology
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
Calabi--Yau compactifications of the heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model.…
Generating Triangulations and Fibrations with Reinforcement Learning
Per Berglund, Giorgi Butbaia, Yang-Hui He +3
We apply reinforcement learning (RL) to generate fine regular star triangulations of reflexive polytopes, that give rise to smooth Calabi-Yau (CY) hypersurfaces. We demonstrate tha…
Physical Yukawa Couplings in Heterotic String Compactifications
Giorgi Butbaia, Damián Mayorga Peña, Justin Tan +4
One of the challenges of heterotic compactification on a Calabi-Yau threefold is to determine the physical Yukawa couplings of the resulting four-dimensional $\ma…
Machine Learned Calabi-Yau Metrics and Curvature
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
Finding Ricci-flat (Calabi-Yau) metrics is a long standing problem in geometry with deep implications for string theory and phenomenology. A new attack on this problem uses neural…
Fluid Dynamics in the Ellis Wormhole
G. Butbaia, Z. N. Osmanov
In the Ellis wormhole metrics we study characteristics of fluid dynamics and the properties of linear sound waves. By implying the energy-momentum equation and the continuity equat…