4 papers
Generating DDPM-based Samples from Tilted Distributions
Himadri Mandal, Dhruman Gupta, Rushil Gupta +5
Given independent samples from a -dimensional probability distribution, our aim is to generate diffusion-based samples from a distribution obtained by tilting the original,…
Fundamental limits for weighted empirical approximations of tilted distributions
Sarvesh Ravichandran Iyer, Himadri Mandal, Dhruman Gupta +5
Consider the task of generating samples from a tilted distribution of a random vector whose underlying distribution is unknown, but samples from it are available. This finds applic…
Asymptotic optimality theory of confidence intervals of the mean
Vikas Deep, Achal Bassamboo, Sandeep Juneja
We address the classical problem of constructing confidence intervals (CIs) for the mean of a distribution, given \(N\) i.i.d. samples, such that the CI contains the true mean with…
Discriminative Learning via Adaptive Questioning
Achal Bassamboo, Vikas Deep, Sandeep Juneja +1
We consider the problem of designing an adaptive sequence of questions that optimally classify a candidate's ability into one of several categories or discriminative grades. A cand…