Research

Current Research Interests

→ Applied Mathematics

→ Computational Mathematics

→ Cryptology

Current Projects

→ Understanding Physics-Informed Neural Networks and Its Use in Inverse Obstacle Scattering ; Guide: Dr. Sivaram Ambikasaran; Description: Firstly, I thoroughly went through all the chapters of Tariq Rashid's Make Your Own Neural Network. Following that, I studied the paper Artificial Neural Networks for Solving Ordinary and Partial Differential Equations by Isaac Elias Lagaris, Aristidis Likas and Dimitrios I. Fotiadis, along with several of its references, and implemented the concepts. Currently, I am working on Inverse Obstacle Scattering Using Physics-Informed Neural Networks (PINNs).

→ Application of Machine Learning in Cryptology ; Guide: Prof. Santanu Sarkar; Description: I am currently studying the paper Solving Mixed Integer Programs Using Neural Networks by Vinod Nair, Sergey Bartunov, Felix Gimeno, Ingrid von Glehn, Pawel Lichocki, Ivan Lobov, Brendan O’Donoghue, Nicolas Sonnerat, Christian Tjandraatmadja, Pengming Wang, Ravichandra Addanki, Tharindi Hapuarachchi, Thomas Keck, James Keeling, Pushmeet Kohli1, Ira Ktena, Yujia Li, Oriol Vinyals, Yori Zwols.