398 citations · 1.7k across the 67 of their papers we have counts for
5 papers · 1 filter
Influence Functions for Machine Learning: Nonparametric Estimators for Entropies, Divergences and Mutual Informations
Kirthevasan Kandasamy, Akshay Krishnamurthy, Barnabas Poczos +2
We propose and analyze estimators for statistical functionals of one or more distributions under nonparametric assumptions. Our estimators are based on the theory of influence func…
On Estimating Divergence
Akshay Krishnamurthy, Kirthevasan Kandasamy, Barnabas Poczos +1
We give a comprehensive theoretical characterization of a nonparametric estimator for the divergence between two continuous distributions. We first bound the rate of conver…
On the Power of Adaptivity in Matrix Completion and Approximation
Akshay Krishnamurthy, Aarti Singh
We consider the related tasks of matrix completion and matrix approximation from missing data and propose adaptive sampling procedures for both problems. We show that adaptive samp…
Subspace Learning from Extremely Compressed Measurements
Akshay Krishnamurthy, Martin Azizyan, Aarti Singh
We consider learning the principal subspace of a large set of vectors from an extremely small number of compressive measurements of each vector. Our theoretical results show that e…
Nonparametric Estimation of Renyi Divergence and Friends
Akshay Krishnamurthy, Kirthevasan Kandasamy, Barnabas Poczos +1
We consider nonparametric estimation of , Renyi- and Tsallis- divergences between continuous distributions. Our approach is to construct estimators for particular integr…