Bodhisattva Sen

 

Recent preprints


  1. •Datta, A., Mukherjee, S., and Sen, B. (2024+). Optimal Confidence Bands for Shape-restricted Regression in Multidimensions.


  1. •Garcia Trillos, N., and Sen, B. (2023+). A New Perspective On Denoising Based On Optimal Transport.


  1. •Mukherjee, S., Sen, B., and Sen. S. (2023+). A Mean Field Approach to Empirical Bayes Estimation in High-dimensional Linear Regression.


  1. •Gonzalez-Sanz, A., Hallin, M., and Sen, B. (2023+). Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability.


  1. •Huang, Z., and Sen, B. (2023+). Multivariate Symmetry: Distribution-Free Testing via Optimal Transport.


  1. •Ignatiadis, N., and Sen, B. (2023+). Empirical partially Bayes multiple testing and compound $\chi^2$ decisions.


  1. •Zhang, Y., Cui, Y., Sen, B., and Toh, K.-C. (2022+). On Efficient and Scalable Computation of the Nonparametric Maximum Likelihood Estimator in Mixture Models.


  1. •Slawski, M., and Sen, B. (2022+). Permuted and Unlinked Monotone Regression in R^d: an approach based on mixture modeling and optimal transport.


  1. •Ghosh, A., Deb, N., Karmakar, B., and Sen, B. (2021+). Efficiency of Regression (Un)-Adjusted Rosenbaum's Rank-based Estimator in Randomized Experiments.


  1. •Deb, N., Bhattacharya, B., and Sen, B. (2021+). Efficiency Lower Bounds for Distribution-Free Hotelling-Type Two-Sample Tests Based on Optimal Transport.


    1. •Deb, N., Ghosal, P., and Sen, B. (2020+). Measuring Association on Topological Spaces Using Kernels and Geometric Graphs.


      1. •Kur, G., Gao, F., Guntuboyina, A., and Sen, B. (2020+). Convex Regression in Multidimensions: Suboptimality of Least Squares Estimators.






      Published or accepted papers


      1. •Soloff, J., Guntuboyina, A., and Sen, B. (2021+). Multivariate, Heteroscedastic Empirical Bayes via Nonparametric Maximum Likelihood. J. Roy. Statist. Soc. Ser. B (to appear) Associated R package


    1. •Huang, Z., and Sen, B. (2022+). A Kernel Measure of Dissimilarity between M Distributions. J. Amer. Statist. Assoc. (to appear)


  1. •Deng, H., Han, Q., and Sen, B. (2020+). Inference for local parameters in convexity constrained models. J. Amer. Statist. Assoc. (to appear)


    1. •Kuchibhotla, A, Patra, R., and Sen, B. (2023). Semiparametric efficiency in convexity constrained single-index model. J. Amer. Statist. Assoc. , 118, 272-286. Associated R package


      1. •Deb, N., and Sen, B. (2023). Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportation. J. Amer. Statist. Assoc., 118, 192-207. Associated R package


      1. •Huang, Z., Deb, N., and Sen, B. (2022). Kernel Partial Correlation Coefficient --- a Measure of Conditional Dependence. J. Mach. Learn. Res. 23 (216), 1-58. Associated R package


      1. •Deb, N., Saha, S., Guntuboyina, A., and Sen, B. (2022). Two-component Mixture Model in the Presence of Covariates. J. Amer. Statist. Assoc., 117, 1820-1834. Associated R package


      1. •Ghosal, P., and Sen, B. (2022). Multivariate Ranks and Quantiles using Optimal Transport: Consistency, Rates, and Nonparametric Testing. Ann. Statist., 50, 1012-1037. Associated R package


      1. •Han, Q., Sen, B., and Shen, Y. (2022). High dimensional asymptotics of likelihood ratio tests in Gaussian sequence model under convex constraint. Ann. Statist., 50, 376-406.


          1. •Datta, P., and Sen, B. (2021). Optimal Inference with a Multidimensional Multiscale Statistic. Electron. J. Stat., 15, 5203-5244.


        1. •Ratcliffe, B., Ness, M., Buck, T., Johnston, K.V., Sen, B., e Silva, B., Debattista, V. (2021). Tracing birth properties of stars with abundance clustering. Astrophysical Journal, 924,60.


      1. •Deb, N., Ghosal, P., and Sen, B. (2021). Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections. Advances in Neural Information Processing Systems, 34, 29736-29753.


      1. •Fang, B., Guntuboyina, A., and Sen, B. (2021). Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation. Ann. Statist., 49, 769-792.


      2. •Chen, X., Lin, Q., and Sen, B. (2020). On Degrees of Freedom of Projection Estimators with Applications to Multivariate Nonparametric Regression. J. Amer. Statist. Assoc., 115, 173-186.


      1. •Guntuboyina, A., Lieu, D., Chatterjee, S., and Sen, B. (2020). Adaptive risk bounds in univariate total variation denoising and trend filtering. Ann. Statist., 48, 205-229.


      1. •Ratcliffe, B., Ness, M., Johnston, K.V., and Sen, B. (2020). Tracing the assembly of the Milky Way's disk through abundance clustering. Astrophysical Journal, 900, 165.


  1. •Mukherjee, R., and Sen, B. (2019). Estimation of Integrated Functionals of a Monotone Density. Electron. J. Stat., 13, 4416-4448.


  1. •Hendel, D., Johnston, K., Patra, R., and Sen, B. (2019). A machine-vision method for automatic classification of stellar halo substructure. Monthly Notices of the Royal Astronomical Society, 486, 3604-3616.


  1. •Banerjee, M., Durot, C., and Sen, B. (2019). Divide and Conquer in Non-standard Problems and the Super-efficiency Phenomenon. Ann. Statist., 47, 720-757.


  1. •Mazumder, R., Choudhury, A., Iyengar, G., and Sen, B. (2019). A Computational Framework for Multivariate Convex Regression and its Variants. J. Amer. Statist. Assoc., 114, 318-331. MATLAB and C code


  1. •Cui, Y., Pang, J-S., and Sen, B. (2018). Composite Difference-Max Programs for Modern Statistical Estimation Problems. SIAM J. Optim., 28, 3344-3374.


      1. •Samworth, R., and Sen, B. (2018). Editorial: Special Issue on "Nonparametric Inference Under Shape Constraints". Statist. Sci., 33, 469-472.


      1. •Guntuboyina, A., and Sen, B. (2018). Nonparametric Shape-restricted Regression. Statist. Sci., 33, 568-594.


      1. •Chatterjee, S., Guntuboyina, A., and Sen, B. (2018). On matrix estimation under monotonicity constraints. Bernoulli, 24, 1072-1100.


      1. •Patra, R., Seijo, E., and Sen, B. (2018). A consistent bootstrap procedure for the maximum score estimator. J. Econometrics, 205, 488-507. Associated R code


      1. •Ghosal, P., and Sen, B. (2017). On Univariate Convex Regression. Sankhya A, 79, 215–253. (Special issue on Applications of Concentration Inequalities and Empirical Processes to Modern Statistics)


      1. •Sen, B., and Meyer, M. (2017). Testing against a parametric regression function using ideas from shape restricted estimation. J. Roy. Statist. Soc. Ser. B , 79, 423-448. MATLAB code Associated R package


      1. • Banerjee, M., and Sen, B. (2016). A conversation with Michael Woodroofe. Statist. Sci., 31, 433-441.


      1. •Patra, R., and Sen, B. (2016). Estimation in a two-component mixture model with applications to multiple testing. J. Roy. Statist. Soc. Ser. B , 78, 869-893. Associated R code


      1. •Mallik, A., Sen, B., Banerjee, M., and Michailidis, G. (2016). Asymptotics for p-value based threshold estimation in dose-response settings. J. Statist. Plann. Inference, 174, 85-103.


      1. •Patra, R., Sen, B., and Szekely, G. (2016). On a Nonparametric Notion of Residual and its Applications. Statist. Probab. Lett., 106, 208-213. Associated R code


      1. •Chatterjee, S., Guntuboyina, A., and Sen, B. (2015). On Risk Bounds in Isotonic and Other Shape Restricted Regression Problems. Ann. Statist., 43, 1774-1800.


      1. •Lee, D. M., Johnston, K. V., Sen, B., and Jessop, W. (2015). A Reconstructing the Accretion History of the Galactic Stellar Halo from Chemical Abundance Ratio Distributions. Astrophysical Journal, 802, 48.


      1. •Sen, B., and Xu, G. (2015). Model based Bootstrap Methods for Interval Censored Data. Comput. Statist. Data Anal., 81, 121-129. See Piet Groeneboom's software for an implementation of this method and other related procedures.


      1. •Guntuboyina, A., and Sen, B. (2015). Global risk bounds and adaptation in univariate convex regression. Probab. Theory Related Fields, 163, 379-411.


      1. •Xu, G., Sen, B., and Ying, Z. (2014). Bootstrapping a change-point Cox model for survival data. Electron. J. Stat., 8, 1345-1379.


      1. •Sen, A., and Sen, B. (2014). On Testing Independence and Goodness-of-fit in Linear Models. Biometrika, 101, 927-942. Associated R code


      1. •Mallik, A., Banerjee, M., and Sen, B. (2013). Asymptotics for p-value based threshold estimation in regression settings. Electron. J. Stat., 7, 2477-2515.


      1. •Guntuboyina, A., and Sen, B. (2013). Covering Numbers for Convex Functions. IEEE Trans. Inf. Theory, 59, 1957-1965.


      1. •Lee, D. M., Johnston, K. V.,Tumlinson, J., Sen, B., and Simon, J. D. (2013). A Mass-Dependent Yield Origin of Neutron-Capture Element Abundance Distributions in Ultra-Faint Dwarfs. Astrophysical Journal, 774, 103.


      1. •Guntuboyina, A., and Sen, B. (2012). L1 Covering Numbers for Uniformly Bounded Convex Functions. Proceedings of the 2012 Conference on Learning Theory (COLT), JMLR W&CP 23: 12.1-12.13.


      1. •Sen, B., and Woodroofe, M. (2012). Bootstrap Confidence Intervals for Isotonic Estimators in a Stereological Problem. Bernoulli, 18, 1249-1266.


      1. •Sen, B., and Chaudhuri, P. (2012). On fractile transformation of covariates in regression. J. Amer. Statist. Assoc. 107, 349-361.


      1. •Alonso, J., Mateo, M., Sen, B., Banerjee, M., Catelan, M., and Minniti, D. (2012). Uncloking globular clusters in the inner Galaxy. The Astronomical Journal, 143, 70.


      1. •Mallik, A., Sen, B., Banerjee, M., and Michailidis, G. (2011). Threshold estimation based on a P-value framework in dose-response and regression settings.Biometrika, 98, 887-900.


      1. •Alonso, J., Mateo, M., Sen, B., Banerjee, M., and Braun, K. (2011). Mapping differential reddening in the inner Galactic globular cluster system.Astronomical Journal, 141, 146.


      1. •Seijo, E., and Sen, B. (2011). Change point in stochastic design regression and the bootstrap. Ann. Statist., 39, 1580-1607.


      1. •Seijo, E., and Sen, B. (2011). Nonparametric least squares estimation of a multivariate convex regression. Ann. Statist., 39, 1633-1657.


      1. •Seijo, E., and Sen, B. (2011). A continuous mapping theorem for the smallest argmax functional. Electron. J. Stat., 5, 421-439.


      1. •Sen. B., and Chaudhuri, P. (2011). Mahalanobis’s Fractile Graphs: Some History and New Developments. International Journal of Statistical Sciences, 11, 17-35 (Invited paper for a special issue in honor of Prasanta Chandra Mahalanobis).


      1. •Sen, B., Banerjee, M., and Woodroofe, M. (2010). Inconsistency of Bootstrap: the Grenander Estimator. Ann. Statist., 38, 1953-1977.


      1. •McKeague, I., and Sen, B. (2010). Fractals with point impact in functional linear regression. Ann. Statist., 38, 2559-2586.


      1. • Sen, B., Walker, M., and Woodroofe, M. (2009). On the Unified Method with Nuisance Parameters. Statist. Sinica, 19, 301-314.


      1. • Sen, B., Banerjee, M., Woodroofe, M., Walker, M., and Mateo, M. (2009). Streaming Motion in Leo I. Ann. Appl. Statist., 3, 96-116.


      1. •Alonso, J., Mateo, M., and Sen, B. (2008). Uncloaking globular clusters of the inner Galaxy. Proceedings IAU Symposium 245: Formation and Evolution of Galaxy Bulges, 359-360.


      1. •Walker, M.G., Mateo, M., Olszewski, E.W., Sen, B., and Woodroofe, M. (2008). Clean Kinematic Samples in Dwarf Spheroidals: An Algorithm for Evaluating Membership and Estimating Distribution Parameters When Contamination is present. Astronomical Journal, 137, 3109-3138.


      1. • Woodroofe, M., and Sen, B. (2007). Discussion of 'The small-n problem in High Energy Physics' by Glen Cowan and 'Bayesian Methods in Particle Physics From Small- N to Large' by Harrison Prosper. Statistical Challenges in Modern Astronomy (SCMA) IV, (Eds. G.J.Babu and E.D.Feigelson), ASP Conference Series, 371, 98-100.


      1. •Walker, M.G., Mateo, M., Olszewski, E.W., Gnedin, O.Y., Wang, X., Sen, B., and Woodroofe, M. (2007). Velocity Dispersion Profiles of Seven Dwarf Spheroidal Galaxies, Astrophysical Journal, 667, L53-L56.


      1. •Walker, M.G., Mateo, M., Olszewski, E.W., Bernstein, R., Sen, B., and Woodroofe, M. (2007). The Michigan/MIKE Fiber System Survey of Stellar Radial Velocities in Dwarf Spheroidal Galaxies: Acquisition and Reduction of Data. Astrophysical Journal Supplement Series, 171, 389-418.


      1. • Sen, B., and Banerjee, M. (2006). A Pseudo-likelihood Method for Analyzing Interval Censored Data. Biometrika, 94, 71-86.


      1. •Walker, M.G., Mateo, M., Olszewski, E.W., Pal, J.K., Sen, B., and Woodroofe, M. (2006). On Kinematic Substructure in the Sextans Dwarf Spheroidal Galaxy. Astrophysical Journal, 642, L41-L44.


      1. •Sen, B. (2005). Estimation and Comparison of Fractile Graphs using Kernel Smoothing Techniques. Sankhya, 67, 305-334. (Special issue on Quantile Regression and Related Methods)