Somnath Chakraborty

activity

20182024

collaborators

4 papers

math.ST2024

Optimal Designs for Regression on Lie Groups

Somnath Chakraborty, Holger Dette, Martin Kroll

We consider a linear regression model with complex-valued response and predictors from a compact and connected Lie group. The regression model is formulated in terms of eigenfuncti…

cs.CC2023

On hardness of computing analytic Brouwer degree

Somnath Chakraborty

We prove that counting the analytic Brouwer degree of rational coefficient polynomial maps in $Map (C^{d}, C^{d})$ -- presented in degree-coefficient form…

cs.DS2020

A Fourier analytique approach to Gaussian mixture learning

Somnath Chakraborty, Hariharan Narayanan

Suppose that we are given independent, identically distributed random samples $x_{1}, \dots, x_{n}$ from a mixture at most $k$ many $d$ -dimensional spherical Gaussian distributions $μ_1…

math.PR2018

Generating an equidistributed net on a unit n-sphere using random rotations

Somnath Chakraborty, Hariharan Narayanan

We develop a randomized algorithm (that succeeds with high probability) for generating an $ε$ -net in a sphere of dimension n. The basic scheme is to pick $O (n ln (1/ n) + ln (1/ δ))$ …