Research

A complete list can be found on Google Scholar.

Preprints

  • Confidence Sets for Multidimensional Scaling
    • Siddharth Vishwanath, Ery Arias-Castro
    • Under review, 2025.
    • arXiv
  • Minimax Optimality of Classical Scaling Under General Noise Conditions
    • Siddharth Vishwanath, Ery Arias-Castro
    • Under review, 2025.
    • arXiv
  • Repelling-Attracting Hamiltonian Monte Carlo
    • Siddharth Vishwanath, Hyungsuk Tak
    • Under review, 2024.
    • arXiv code
  • Adversarially Robust Topological Inference
    • Siddharth Vishwanath, Bharath Sriperumbudur, Kenji Fukumizu, and Satoshi Kuriki
    • Under review, 2022.
    • arXiv code



Publications

  • Signal Recovery from Random Dot-Product Graphs under Local Differential Privacy
    • Siddharth Vishwanath, Jonathan Hehir
    • International Conference on Artificial Intelligence and Statistics (AISTATS), 2025.
    • link code
  • Stability of Sequential Lateration and of Stress Minimization in the Presence of Noise
    • Ery Arias-Castro, Siddharth Vishwanath
    • SIAM Journal on the Mathematics of Data Science, 2024.
    • preprint
  • On the Limits of Topological Data Analysis for Statistical Inference
    • Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki, and Bharath Sriperumbudur
    • Foundations of Data Science, 2024.
    • link slides talk
  • Monolith Soil Core Sampling to Develop Nitrate Testing Protocol for Manure Injection
    • Robert J. Meinen, Douglas B. Beegle, Siddharth Vishwanath, Peter J. A. Kleinman, Louis S. Saporito, John Spargo, Heather Karsten, Justin Dillon
    • Soil Science Society of America Journal, 2022.
    • link
  • Robust Persistence Diagrams using Reproducing Kernels
    • Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki, and Bharath Sriperumbudur
    • Advances in Neural Information Processing Systems (NeurIPS), 2021.
    • link slides code poster
  • The Shape of Edge Differential Privacy
    • Siddharth Vishwanath, Jonathan Hehir
    • Theory and Practice of Differential Privacy Workshop, ICML, 2021.
    • paper poster
  • Bayesian Inference and Optimal Censoring Scheme under Progressive Censoring
    • Siddharth Vishwanath, Debasis Kundu
    • Advances in Reliability and System Engineering, Springer, 2017.
    • link



Software

  • TDAOpt.jl
    • Julia package for automatic-differentiation of statistical & topological loss functions
  • RobustTDA.jl
    • Julia package for flexible & robust computation of persistence diagrams
  • RA-HMC.jl
    • Julia package for sampling from high-dimensional multimodal distributions using RA-HMC