Research

Current Research Interests

→ Applied Mathematics

→ Computational Mathematics

→ Machine Learning

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).

→ Analysis and synthesis of feature maps for kernel-based quantum machine learning ; Guide: Dr. Dhinakaran Vinayagamurthy and Dr. Chandrashekar Lakshminarayanan; Description: I am currently studying the paper Quantum tangent kernel by Norihito Shirai, Kenji Kubo, Kosuke Mitarai, Keisuke Fujii and implementing it.