J Jiao, K Venkat, Y Han… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
We propose a general methodology for the construction and analysis of essentially minimax estimators for a wide class of functionals of finite dimensional parameters, and elaborate on …
Y Wu, P Yang - IEEE Transactions on Information Theory, 2016 - ieeexplore.ieee.org
Consider the problem of estimating the Shannon entropy of a distribution over k elements from n independent samples. We show that the minimax mean-square error is within the …
P Li, O Milenkovic - Advances in neural information …, 2017 - proceedings.neurips.cc
Hypergraph partitioning is an important problem in machine learning, computer vision and network analytics. A widely used method for hypergraph partitioning relies on minimizing a …
The uncertainty attributed by discrepant data in AI-enabled decisions is a critical challenge in highly regulated domains such as health care and finance. Ambiguity and incompleteness …
Mobile CrowdSensing (MCS) has emerged as a novel paradigm for performing large-scale sensing tasks. Many incentive mechanisms have been proposed to encourage user …
We give a brief survey of the literature on the empirical estimation of entropy, differential entropy, relative entropy, mutual information and related information measures. While those …
There is a folkloric belief that a depth-$\Theta (m) $ quantum circuit is needed to estimate the trace of the product of $ m $ density matrices (ie, a multivariate trace), a subroutine crucial to …
Y Bu, S Zou, Y Liang… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The problem of estimating the Kullback-Leibler divergence D (P∥ Q) between two unknown distributions P and Q is studied, under the assumption that the alphabet size k of the …
It was shown recently that estimating the Shannon entropy H (p) of a discrete k-symbol distribution p requires Θ (k/log k) samples, a number that grows near-linearly in the support …