6 papers
A Central Limit Theorem for Intrinsic Fréchet Means on Real Grassmannians
Bipayan Banerjee, Imon Banerjee, Swagatam Das
Subspace-valued data arise in dimension reduction, image-set and video recognition, and signal processing, and the Fréchet mean is their standard sample mean [11,9,15,23]. We estab…
Low Dimensional Sampling under Reconstructed Constraints
Imon Banerjee, Riddhiman Bhattacharyya
We study sampling from a distribution supported on an unknown compact -dimensional manifold , observed only through i.i.d. uniform points from . W…
Nonparametric Multi Change Point Detection for Markov Chains via Adaptive Clustering
Imon Banerjee, Jiaqi Lei, Sanjay Mehrotra
Offline change point detection tries to detect time points of distribution change in a given data sequence; and is now routinely used in signal processing, speech processing, clima…
Adaptive Estimation and Optimal Control in Offline Contextual MDPs without Stationarity
Riddhiman Bhattacharyya, Sayak Chakrabarty, Imon Banerjee
Contextual MDPs are powerful tools with wide applicability in areas from biostatistics to machine learning. However, specializing them to offline datasets has been challenging due…
CLT and Edgeworth Expansion for m-out-of-n Bootstrap Estimators of The Studentized Median
Imon Banerjee, Sayak Chakrabarty
The m-out-of-n bootstrap, originally proposed by Bickel, Gotze, and Zwet (1992), approximates the distribution of a statistic by repeatedly drawing m subsamples (with m much smalle…
Goggin's corrected Kalman Filter: Guarantees and Filtering Regimes
Imon Banerjee, Itai Gurvich
In this paper we revisit a non-linear filter for {\em non-Gaussian} noises that was introduced in [1]. Goggin proved that transforming the observations by the score function and th…