Research Interests

I am interested in Statistical Sampling Theory, especially Monte Carlo and Quasi-Monte Carlo Methods. I am also interested in Discrepancy Theory, Bayesian Optimization, Statistical Machine Learning and Large-Scale Optimization problems.

Links: Google Scholar Profile, DBLP

Work in Submission

Publications

  • Large-Scale Quadratically Constrained Quadratic Program via Low-Discrepancy Sequences. (pdf)
    (with Ankan Saha and Shaunak Chatterjee )
    Neural Information Processing Systems (NIPS) 2017

  • Quasi-Monte Carlo for an Integrand Singular along a Diagonal of the Square (pdf)
    (with Art B. Owen)
    Festschrift for the 80th Birthday of Ian Sloan. To Appear.

  • Asymptotic normality of scrambled geometric net quadrature (pdf)
    (with Rajarshi Mukherjee)
    The Annals of Statistics, 2017, 45 (4) pp. 1759 - 1788.

  • Scrambled geometric net integration over general product spaces (pdf)
    (with Art B. Owen)
    Foundations of Computational Mathematics, 2017, 17 (2) pp. 467-496

  • Transformations and Hardy Krause Variation (pdf)
    (with Art B. Owen)
    SIAM Journal of Numerical Analysis, 2016, 54 (3), pp. 1946-1966.

  • Almost Empty Monochromatic Triangles in Planar Point Sets (pdf)
    (with Deepan Basu, Bhaswar Bhattacharya and Sandip Das)
    Discrete Applied Mathematics, 2016, 210, pp. 207-213.

  • Quasi-Monte Carlo tractability of high dimensional integration over products of simplices (pdf)
    Journal of Complexity 2015, 31(6), pp. 817-834.

  • Low discrepancy constructions in the triangle (pdf)
    (with Art B. Owen)
    SIAM Journal of Numerical Analysis 2015, 53(2), pp. 743-761.

  • Tests for exponentiality against NBUE alternatives: a Monte Carlo comparison (pdf)
    (with M. Z. Anis)
    Journal of Statistical Computation and Simulation 2014, 84(2), pp. 231-247.

  • Receptor-Ligand Interaction at 5-HT3 Serotonin Receptors: A Cluster Perspective (pdf)
    (with Devleena Samanta , Shawn Joshi , Sheryl D. Baldwin , Amrita Jha , Malgorzata Dukat , Richard A. Glennon , and Purusottam Jena)
    Journal of Physical Chemistry A, 2014, 118 (37), pp 8471-8476.

  • Recognition of similar shaped handwritten characters using Logistic Regression (pdf)
    (with Radhika Nangia and Umapada Pal)
    10th IAPR International Workshop on Document Analysis Systems (DAS) 2012, pp: 200-204.

  • The exact null distribution of the generalized Hollander-Proschan type test for NBUE alternatives (pdf)
    (with M. Z. Anis)
    Statistics and Probability Letters 2011, 81(11), pp. 1733-1737.

PhD Thesis

  • Quasi-Monte Carlo Methods in Non-Cubical Spaces (Link)

Projects for Master's Thesis

  • A spatio-spectral hybridization for edge preservation and noisy image restoration via local parametric mixtures and Lagrangian relaxation (preprint)
    (with Debapriya Sengupta)

  • Spline Smoothing for Estimation of Circular Probability Distributions via Spectral Isomorphism and its Spatial Adaptation (preprint)
    (with Debapriya Sengupta)

Notes on Large-Scale Optimization