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05/15/2023
Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
We give the first numerical calculation of the spectrum of the Laplacian...
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09/19/2022
Towards Quantum Advantage on Noisy Quantum Computers
Topological data analysis (TDA) is a powerful technique for extracting c...
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09/19/2022
Machine Learning Class Numbers of Real Quadratic Fields
We implement and interpret various supervised learning experiments invol...
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04/21/2022
Machine Learning Algebraic Geometry for Physics
We review some recent applications of machine learning to algebraic geom...
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04/21/2022
Murmurations of elliptic curves
We investigate the average value of the pth Dirichlet coefficients of el...
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03/25/2022
Cluster Algebras: Network Science and Machine Learning
Cluster algebras have recently become an important player in mathematics...
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02/12/2022
From the String Landscape to the Mathematical Landscape: a Machine-Learning Outlook
We review the recent programme of using machine-learning to explore the ...
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01/27/2022
Efficient Quantum Computation of the Fermionic Boundary Operator
The boundary operator is a linear operator that acts on a collection of ...
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01/05/2022
Machine-Learning the Classification of Spacetimes
On the long-established classification problems in general relativity we...
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12/20/2021
Calabi-Yau Metrics, Energy Functionals and Machine-Learning
We apply machine learning to the problem of finding numerical Calabi-Yau...
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12/12/2021
Machine Learning Calabi-Yau Hypersurfaces
We revisit the classic database of weighted-P4s which admit Calabi-Yau 3...
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11/08/2021
The World in a Grain of Sand: Condensing the String Vacuum Degeneracy
We propose a novel approach toward the vacuum degeneracy problem of the ...
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06/07/2021
Neurons on Amoebae
We apply methods of machine-learning, such as neural networks, manifold ...
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01/15/2021
Machine-Learning Mathematical Structures
We review, for a general audience, a variety of recent experiments on ex...
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12/07/2020
Machine-Learning Arithmetic Curves
We show that standard machine-learning algorithms may be trained to pred...
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11/17/2020
Machine-Learning Number Fields
We show that standard machine-learning algorithms may be trained to pred...
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11/02/2020
Machine Learning Lie Structures Applications to Physics
Classical and exceptional Lie algebras and their representations are amo...
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10/02/2020
Machine-Learning the Sato–Tate Conjecture
We apply some of the latest techniques from machine-learning to the arit...
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09/05/2020
Machine Learning Calabi-Yau Four-folds
Hodge numbers of Calabi-Yau manifolds depend non-trivially on the underl...
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06/30/2020
Graph Laplacians, Riemannian Manifolds and their Machine-Learning
Graph Laplacians as well as related spectral inequalities and (co-)homol...
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04/10/2020
Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves
We apply machine-learning to the study of dessins d'enfants. Specificall...
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03/30/2020
Machine Learning String Standard Models
We study machine learning of phenomenologically relevant properties of s...
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11/04/2019
Machine Learning meets Number Theory: The Data Science of Birch-Swinnerton-Dyer
Empirical analysis is often the first step towards the birth of a conjec...
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10/18/2019
Machine learning Calabi-Yau metrics
We apply machine learning to the problem of finding numerical Calabi-Yau...
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08/05/2019
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry
This paper introduces a method of calculating and rendering shapes in a ...
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05/02/2019
Learning Algebraic Structures: Preliminary Investigations
We employ techniques of machine-learning, exemplified by support vector ...
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01/13/2019
Machine-learning a virus assembly fitness landscape
Realistic evolutionary fitness landscapes are notoriously difficult to c...
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12/07/2018
The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
We present a pedagogical introduction to the recent advances in the comp...
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06/27/2018
hep-th
We apply techniques in natural language processing, computational lingui...
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06/08/2018
Machine Learning CICY Threefolds
The latest techniques from Neural Networks and Support Vector Machines (...
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06/08/2017