Over-the-air statistical estimation

CZ Lee, LP Barnes, A Özgür - IEEE Journal on Selected Areas …, 2021 - ieeexplore.ieee.org
We study schemes and lower bounds for distributed minimax statistical estimation over a
Gaussian multiple-access channel (MAC) under squared error loss. Our framework …

Lower bounds for over-the-air statistical estimation

CZ Lee, LP Barnes, A Özgür - 2021 IEEE International …, 2021 - ieeexplore.ieee.org
We study lower bounds for minimax statistical estimation over a Gaussian multiple-access
channel (MAC) under squared error loss, using techniques from both statistical estimation …

[PDF][PDF] Estimation over deterministic multiaccess channels

G Mergen, L Tong - 42nd Annual Allerton Conf. on Commun …, 2004 - acsp.ece.cornell.edu
We study the problem of communicating sensor readings over a Gaussian multiaccess
(MAC) channel. We focus on the scenario that each sensor observes a single random …

On distributed linear estimation with observation model uncertainties

A Sani, A Vosoughi - IEEE Transactions on signal processing, 2018 - ieeexplore.ieee.org
We consider distributed estimation of a Gaussian source in a heterogenous bandwidth
constrained sensor network, where the source is corrupted by independent multiplicative …

Distributed gaussian mean estimation under communication constraints: Optimal rates and communication-efficient algorithms

TT Cai, H Wei - arXiv preprint arXiv:2001.08877, 2020 - arxiv.org
We study distributed estimation of a Gaussian mean under communication constraints in a
decision theoretical framework. Minimax rates of convergence, which characterize the …

Improved bounds on Gaussian MAC and sparse regression via Gaussian inequalities

I Zadik, Y Polyanskiy… - 2019 IEEE International …, 2019 - ieeexplore.ieee.org
We consider the Gaussian multiple-access channel with two critical departures from the
classical asymptotics: a) number of users proportional to block-length and b) each user …

Converses for distributed estimation via strong data processing inequalities

A Xu, M Raginsky - 2015 IEEE International Symposium on …, 2015 - ieeexplore.ieee.org
We consider the problem of distributed estimation, where local processors observe
independent samples conditioned on a common random parameter of interest, map the …

Type based estimation over multiaccess channels

G Mergen, L Tong - IEEE Transactions on Signal Processing, 2006 - ieeexplore.ieee.org
We study the problem of communicating sensor readings over a Gaussian multiaccess
channel. We focus on the scenario that each sensor observes a single random variable and …

A geometric characterization of fisher information from quantized samples with applications to distributed statistical estimation

LP Barnes, Y Han, A Özgür - 2018 56th Annual Allerton …, 2018 - ieeexplore.ieee.org
Consider the Fisher information for estimating a vector θ∈ ℝ d from the quantized version of
a statistical sample X~ f (x| θ). Let M be a k-bit quantization of X. We provide a geometric …

Information-theoretic lower bounds on Bayes risk in decentralized estimation

A Xu, M Raginsky - IEEE Transactions on Information Theory, 2016 - ieeexplore.ieee.org
We derive lower bounds on the Bayes risk in decentralized estimation, where the estimator
does not have direct access to the random samples generated conditionally on the random …