Search Results for author: Challenger Mishra

Found 8 papers, 0 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.

Mathematical conjecture generation using machine intelligence

no code implementations12 Jun 2023 Challenger Mishra, Subhayan Roy Moulik, Rahul Sarkar

Finally, we propose a pipeline of mathematical discovery in this space and highlight the importance of domain expertise in this pipeline.

A physics-informed search for metric solutions to Ricci flow, their embeddings, and visualisation

no code implementations30 Nov 2022 Aarjav Jain, Challenger Mishra, Pietro Liò

Neural networks with PDEs embedded in their loss functions (physics-informed neural networks) are employed as a function approximators to find solutions to the Ricci flow (a curvature based evolution) of Riemannian metrics.

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.

Machine Learning for Optical Motion Capture-driven Musculoskeletal Modelling from Inertial Motion Capture Data

no code implementations28 Sep 2022 Abhishek Dasgupta, Rahul Sharma, Challenger Mishra, Vikranth H. Nagaraja

Marker-based Optical Motion Capture (OMC) systems and associated musculoskeletal (MSK) modelling predictions offer non-invasively obtainable insights into in vivo joint and muscle loading, aiding clinical decision-making.

Decision Making

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.

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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