Search Results for author: Vishnu Jejjala

Found 11 papers, 1 papers with code

Learning to be Simple

no code implementations8 Dec 2023 Yang-Hui He, Vishnu Jejjala, Challenger Mishra, Max Sharnoff

In this work we employ machine learning to understand structured mathematical data involving finite groups and derive a theorem about necessary properties of generators of finite simple groups.

Machine Learned Calabi-Yau Metrics and Curvature

no code implementations17 Nov 2022 Per Berglund, Giorgi Butbaia, Tristan Hübsch, Vishnu Jejjala, Damián Mayorga Peña, Challenger Mishra, Justin Tan

Finding Ricci-flat (Calabi-Yau) metrics is a long standing problem in geometry with deep implications for string theory and phenomenology.

Topological data analysis on noisy quantum computers

no code implementations19 Sep 2022 Ismail Yunus Akhalwaya, Shashanka Ubaru, Kenneth L. Clarkson, Mark S. Squillante, Vishnu Jejjala, Yang-Hui He, Kugendran Naidoo, Vasileios Kalantzis, Lior Horesh

In this study, we present NISQ-TDA, a fully implemented end-to-end quantum machine learning algorithm needing only a short circuit-depth, that is applicable to high-dimensional classical data, and with provable asymptotic speedup for certain classes of problems.

Quantum Machine Learning Topological Data Analysis

Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learning

no code implementations15 Feb 2022 Vishnu Jejjala, Washington Taylor, Andrew Turner

We review briefly the characteristic topological data of Calabi--Yau threefolds and focus on the question of when two threefolds are equivalent through related topological data.

BIG-bench Machine Learning Math

Machine Learning Kreuzer--Skarke Calabi--Yau Threefolds

no code implementations16 Dec 2021 Per Berglund, Ben Campbell, Vishnu Jejjala

Using a fully connected feedforward neural network we study topological invariants of a class of Calabi--Yau manifolds constructed as hypersurfaces in toric varieties associated with reflexive polytopes from the Kreuzer--Skarke database.

BIG-bench Machine Learning

Learning knot invariants across dimensions

1 code implementation30 Nov 2021 Jessica Craven, Mark Hughes, Vishnu Jejjala, Arjun Kar

We find that a two-layer feed-forward neural network can predict $s$ from $\text{Kh}(q,-q^{-4})$ with greater than $99\%$ accuracy.

Unity

Neural Network Approximations for Calabi-Yau Metrics

no code implementations31 Dec 2020 Vishnu Jejjala, Damian Kaloni Mayorga Pena, Challenger Mishra

Ricci flat metrics for Calabi-Yau threefolds are not known analytically.

Disentangling a Deep Learned Volume Formula

no code implementations7 Dec 2020 Jessica Craven, Vishnu Jejjala, Arjun Kar

We present a simple phenomenological formula which approximates the hyperbolic volume of a knot using only a single evaluation of its Jones polynomial at a root of unity.

Unity

Machine Learning CICY Threefolds

no code implementations8 Jun 2018 Kieran Bull, Yang-Hui He, Vishnu Jejjala, Challenger Mishra

The latest techniques from Neural Networks and Support Vector Machines (SVM) are used to investigate geometric properties of Complete Intersection Calabi-Yau (CICY) threefolds, a class of manifolds that facilitate string model building.

BIG-bench Machine Learning

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