Welcome!

I am currently a fifth-year Ph.D. student in the Department of Applied and Computational Mathematics and Statistics at the University of Notre Dame. I am fortunate to work under the mentorship of Prof. Lizhen Lin and Prof. Daren Wang.

Before starting my Ph.D., I completed a five-year Integrated M.Sc. in Mathematics at Visva Bharati, where I was advised by Prof. Swapan Kumar Pandit. During my final year, I had the opportunity to be a visiting student at the Chennai Mathematical Institute, where I conducted my master’s dissertation research under Prof. Issan Patri.

For more on my academic background, research, and teaching, please see my CV here.

I was born and raised in Bihar, India.

Research

My research interests include:

• Statistical foundations of deep generative models
• Nonparametric statistics in high-dimensions
• Change point detection and inference
• Bayes methodology

Preprints

Shivam Kumar, Haotian Xu, Haeran Cho, Daren Wang. Estimation and Inference for Change Points in Functional Regression Time Series. arxiv Under Review.

Shivam Kumar, Yun Yang, Lizhen Lin. A Likelihood Based Approach to Distribution Regression Using Conditional Deep Generative Models. arxiv Under Review.

Shivam Kumar, Yixin Wang, Lizhen Lin. Statistical Foundation of Matching Flow Based Generative Models. In Progress. 2024+.

Shivam Kumar, Shitao Fan, Lizhen Lin. Adaptive Online Variational Bayes. In Progress. 2024+.

Shivam Kumar, Carlos-Misael Madrid-Padilla. Additive Temporal-spatial Model via Trend Filtering. In Progress. 2024+.