Research

Research interests and articles

My current research interest concentrates on Robust Statistics, Dependent Data Analysis and development of Statistical Methods for Deep Learning.

Statistical Methods for Deep Learning

Deep learning models have found super-accurate inferences and profound applications in many fields. Unfortunately, we understand very little about them: There’s always concerns about safety, ethics and so many other things. There’s been a proliferation of statistical ideas that combines old techniques with these modern blackboxes to assure reliability and help us understand them more.

  1. Bonnerjee, Soham, Sayar Karmakar, and Subhrajyoty Roy.
    “WISER: Segmenting watermarked region – an epidemic change-point perspective.”
    arXiv preprint arXiv:2509.21160 (2025).
    Open Access Link

Dependent Data Analysis

Observations are often correlated with each other, sometimes these correlation occur temporally, or spatially, or both. Dependent Data Analysis aims to obtain valid inference guarantees for these kinds of datasets.

  1. Deb, Soudeep, Claudia Neves, and Subhrajyoty Roy. “Nonparametric quantile regression for spatio-temporal processes.” arXiv preprint arXiv:2405.13783 (2024). Open Access Link

  2. Bhaduri, Ritwik, Subhrajyoty Roy, and Sankar K. Pal. “Rough-Fuzzy CPD: a gradual change point detection algorithm.” Journal of Data, Information and Management 4, no. 3 (2022): 243–266. Link | Open Access Link

Robust Statistics

Robust Statistics aims to deliver guaranteed inferences even when your data may contain outliers, or the assumptions underlying your inference strategy are slightly violated.

  1. Roy, Subhrajyoty, Abhik Ghosh, and Ayanendranath Basu. “Robust Rank Estimation for Noisy Matrices.” arXiv preprint arXiv:2510.19583 (2025). Open Access Link

  2. Jana, Suryasis, Subhrajyoty Roy, Ayanendranath Basu, and Abhik Ghosh.
    “Asymptotic breakdown point analysis of the minimum density power divergence estimator under independent non-homogeneous setups.”
    arXiv preprint arXiv:2508.12426 (2025).
    Open Access Link

  3. Roy, Subhrajyoty. “Robust Matrix Factorization using the Density Power Divergence and its Applications”. ISI PhD Thesis TH646 (2025). Open Access Link

  4. Roy, Subhrajyoty, Supratik Basu, Abhik Ghosh, and Ayanendranath Basu.
    “Generalized Alpha-Beta Divergence and Associated Entropy Measures.”
    arXiv preprint arXiv:2507.04637 (2025).
    Open Access Link

  5. Roy, Subhrajyoty, Abir Sarkar, Abhik Ghosh, and Ayanendranath Basu. “Asymptotic Breakdown Point Analysis for a General Class of Minimum Divergence Estimators.” Bernoulli (2025+) (Accepted). Open Access Link

  6. Roy, Subhrajyoty, Ayanendranath Basu, and Abhik Ghosh.
    “Robust Principal Component Analysis using Density Power Divergence.” Journal of Machine Learning Research 25, no. 324 (2024): 1–40. Link | Open Access Link

  7. Pyne, Arijit, Subhrajyoty Roy, Abhik Ghosh, and Ayanendranath Basu.
    “Robust and efficient estimation in ordinal response models using the density power divergence.”
    Statistics 58, no. 3 (2024): 481–520.
    Link | Open Access Link

  8. Roy, Subhrajyoty, Abhik Ghosh, and Ayanendranath Basu.
    “Robust singular value decomposition with application to video surveillance background modelling.”
    Statistics and Computing 34, no. 5 (2024): 178.
    Link | Open Access Link | Supplementary Material

Applications and Exploratory Data Analysis

In addition of these broad topics of interests, there’s been a few works which is more application-oriented, and does not fit into one of these categories.

  1. Roy, Subhrajyoty.
    “Trustworthy Dimensionality Reduction.”
    arXiv preprint arXiv:2405.05868 (2024).
    Open Access Link

  2. Ghatak, Anirban, Shivshanker Singh Patel, Soham Bonnerjee, and Subhrajyoty Roy.
    “A generalized epidemiological model with dynamic and asymptomatic population.”
    Statistical Methods in Medical Research 31, no. 11 (2022): 2137–2163.
    Link | Open Access Link

  3. Roy, Subhrajyoty, Debasis Sengupta, Kalyan Rudra, and Udit Surya Saha.
    “Analysis of Pollution Patterns in Regions of Kolkata.”
    Calcutta Statistical Association Bulletin 72, no. 2 (2020): 133–170.
    Link

  4. Dalal, Abhinandan, Diganta Mukherjee, and Subhrajyoty Roy.
    “The Information Content of Taster’s Valuation in Tea Auctions of India.”
    arXiv preprint arXiv:2005.02814 (2020).
    Open Access Link

  5. Mukherjee, Diganta, Abhinandan Dalal, and Subhrajyoty Roy.
    “Feasibility of Transparent Price Discovery in Tea through Auction in India.”
    Commodity Insights Yearbook MCX (2019): 44–52.
    Link | Open Access Link

  6. Bhaduri, Ritwik, Soham Bonnerjee, and Subhrajyoty Roy.
    “Onset detection: A new approach to QBH system.”
    arXiv preprint arXiv:1908.07409 (2019).
    Open Access Link

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