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09/17/2023
L^1 Estimation: On the Optimality of Linear Estimators
Consider the problem of estimating a random variable X from noisy observ...
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05/04/2023
Functional Properties of the Ziv-Zakai bound with Arbitrary Inputs
This paper explores the Ziv-Zakai bound (ZZB), which is a well-known Bay...
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08/05/2022
Amplitude Constrained Vector Gaussian Wiretap Channel: Properties of the Secrecy-Capacity-Achieving Input Distribution
This paper studies secrecy-capacity of an n-dimensional Gaussian wiretap...
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05/12/2022
An MMSE Lower Bound via Poincaré Inequality
This paper studies the minimum mean squared error (MMSE) of estimating 𝐗...
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05/10/2022
Entropic CLT for Order Statistics
It is well known that central order statistics exhibit a central limit b...
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02/23/2022
A Dimensionality Reduction Method for Finding Least Favorable Priors with a Focus on Bregman Divergence
A common way of characterizing minimax estimators in point estimation is...
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02/04/2022
Improved Information Theoretic Generalization Bounds for Distributed and Federated Learning
We consider information-theoretic bounds on expected generalization erro...
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02/01/2022
On the Capacity Achieving Input of Amplitude Constrained Vector Gaussian Wiretap Channel
This paper studies secrecy-capacity of an n-dimensional Gaussian wiretap...
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11/22/2021
Scalar Gaussian Wiretap Channel with Peak Amplitude Constraint: Numerical Computation of the Optimal Input Distribution
This paper studies a scalar Gaussian wiretap channel where instead of an...
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11/22/2021
Poisson Noise Channel with Dark Current: Numerical Computation of the Optimal Input Distribution
This paper considers a discrete time-Poisson noise channel which is used...
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09/03/2021
Scalar Gaussian Wiretap Channel: Properties of the Support Size of the Secrecy-Capacity-Achieving Distribution
This work studies the secrecy-capacity of a scalar-Gaussian wiretap chan...
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05/11/2021
A General Derivative Identity for the Conditional Expectation with Focus on the Exponential Family
Consider a pair of random vectors (𝐗,𝐘) and the conditional expectation ...
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05/07/2021
Retrieving Data Permutations from Noisy Observations: High and Low Noise Asymptotics
This paper considers the problem of recovering the permutation of an n-d...
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05/03/2021
Consistent Density Estimation Under Discrete Mixture Models
This work considers a problem of estimating a mixing probability density...
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04/29/2021
Bounds on the Number of Mass Points of the Capacity Achieving Distribution of the Amplitude Constraint Poisson Noise Channel
This work considers a Poisson noise channel with an amplitude constraint...
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04/05/2021
A General Derivative Identity for the Conditional Mean Estimator in Gaussian Noise and Some Applications
Consider a channel Y= X+ N where X is an n-dimensional random vector, a...
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01/27/2021
The Most Informative Order Statistic and its Application to Image Denoising
We consider the problem of finding the subset of order statistics that c...
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09/25/2020
Measuring Dependencies of Order Statistics: An Information Theoretic Perspective
Consider a random sample X_1 , X_2 , ..., X_n drawn independently and id...
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05/15/2020
Recovering Data Permutation from Noisy Observations: The Linear Regime
This paper considers a noisy data structure recovery problem. The goal i...
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05/07/2020
Nonparametric Estimation of the Fisher Information and Its Applications
This paper considers the problem of estimation of the Fisher information...
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05/05/2020
Information-Theoretic Bounds on the Generalization Error and Privacy Leakage in Federated Learning
Machine learning algorithms operating on mobile networks can be characte...
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01/29/2020
A Class of Lower Bounds for Bayesian Risk with a Bregman Loss
A general class of Bayesian lower bounds when the underlying loss functi...
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11/09/2019
Estimation in Poisson Noise: Properties of the Conditional Mean Estimator
This paper considers estimation of a random variable in Poisson noise wi...
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02/20/2019
Tight Bounds on the Weighted Sum of MMSEs with Applications in Distributed Estimation
In this paper, tight upper and lower bounds are derived on the weighted ...
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01/18/2019
On Estimation under Noisy Order Statistics
This paper presents an estimation framework to assess the performance of...
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01/10/2019
The Capacity Achieving Distribution for the Amplitude Constrained Additive Gaussian Channel: An Upper Bound on the Number of Mass Points
This paper studies an n-dimensional additive Gaussian noise channel with...
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01/10/2019
Capacity Achieving Distribution for the Amplitude Constrained Additive Gaussian Channel: An Upper Bound on the Number of Mass Points
This paper studies an n-dimensional additive Gaussian noise channel with...
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04/26/2018
Tight MMSE Bounds for the AGN Channel Under KL Divergence Constraints on the Input Distribution
Tight bounds on the minimum mean square error for the additive Gaussian ...
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04/23/2018
On the Capacity of the Peak Power Constrained Vector Gaussian Channel: An Estimation Theoretic Perspective
This paper studies the capacity of an n-dimensional vector Gaussian nois...
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02/26/2018
A Differential Privacy Mechanism Design Under Matrix-Valued Query
Traditionally, differential privacy mechanism design has been tailored f...
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01/02/2018