Research

Current Research Interests

→ Applied Mathematics

→ Computational Mathematics

→ Graph Theory

Current Projects

→ Understanding and analysis Partial Differential Equations based Image Processing ; Guide: Dr. Mahipal Jetta; Description: Firstly, I studied the paper A Diffusion Equation for Improving the Robustness of Deep Learning Speckle Removal Model by Li Cheng, Yuming Xing, Yao Li and Zhichang Guo, along with several of its references, and implemented the concepts. Currently working on incorporating appropriate priors into the diffusion model to effectively remove multiplicative noise in images.

Past Projects

→ Understanding and analysis Physics-Informed Neural Networks ; 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.

→ Analysis and synthesis of feature maps for kernel-based quantum machine learning ; Guide: Dr. Dhinakaran Vinayagamurthy and Dr. Chandrashekar Lakshminarayanan; Description: Firstly, I thoroughly went through all the chapters of Mikio Nakahara and Tetsuo Ohmi's Quantum Computing: From Linear Algebra to Physical Realizations. Following that, I studied the paper Quantum tangent kernel by Norihito Shirai, Kenji Kubo, Kosuke Mitarai, Keisuke Fujii along with several of its references, and implemented the concepts.