Search Results for author: Soham Jana

Found 4 papers, 1 papers with code

A general theory for robust clustering via trimmed mean

no code implementations10 Jan 2024 Soham Jana, Jianqing Fan, Sanjeev Kulkarni

In this paper, we introduce a hybrid clustering technique with a novel multivariate trimmed mean type centroid estimate to produce mislabeling guarantees under a weak initialization condition for general error distributions around the centroids.

Clustering

Adversarially robust clustering with optimality guarantees

no code implementations16 Jun 2023 Soham Jana, Kun Yang, Sanjeev Kulkarni

In the absence of outliers, in fixed dimensions, our theoretical guarantees are similar to that of the Lloyd algorithm.

Clustering

Support Recovery with Stochastic Gates: Theory and Application for Linear Models

1 code implementation29 Oct 2021 Soham Jana, Henry Li, Yutaro Yamada, Ofir Lindenbaum

Consider the problem of simultaneous estimation and support recovery of the coefficient vector in a linear data model with additive Gaussian noise.

Extrapolating the profile of a finite population

no code implementations21 May 2020 Soham Jana, Yury Polyanskiy, Yihong Wu

Nevertheless, we show that in the sublinear regime of $m =\omega(k/\log k)$, it is possible to consistently estimate in total variation the \emph{profile} of the population, defined as the empirical distribution of the sizes of each type, which determines many symmetric properties of the population.

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