Siddharth Vishwanath is a Ph.D. student in the Department of Statistics at Penn State.
Siddharth graduated from the Indian Institute of Technology, Kanpur in 2015 with an M.Sc.(Integrated) in Mathematics. Prior to joining Penn State, he worked as a Quantitative Researcher at Goldman Sachs, and as a Model Validation Quant at Nomura.
His research interests are broadly in the areas of:
- Topological Data Analysis: Statistical behaviour of Betti numbers, statistical inference from topological summaries, robust topological inference
- Statistical Learning Theory: Reproducing kernel Hilbert spaces in probability and statistics, empirical processes, generative models
Roles
Research Assistant at the Statistical Consulting Center (2019 - Present)
Graduate Teaching Assistant at the Department of Statistics (2017 - 2019)
Academic Milestones
- Proficiency Medal for Outstanding Dissertation, Indian Institute of Technology, Kanpur, 2015
- Academic Excellence Award, Indian Institute of Technology, Kanpur, 2015
- KVPY Fellowship, Department of Science and Technology, Government of India, 2010-2015
Research
Robust Persistence Diagrams using Reproducing Kernels
Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki and Bharath Sriperumbudur
Advances in Neural Information Processing Systems (NeurIPS 2020)
Statistical Invariance of Betti Numbers in the Thermodynamic Regime
Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki and Bharath Sriperumbudur
arXiv Preprint (2020)
Bayesian inference and optimal censoring scheme under progressive censoring
Siddharth Vishwanath and Debasis Kundu
Advances in Reliability and System Engineering (2017)
Ph.D. Advisor
Personal Website