L. Barnes

activity

20172026

most citedLower Bounds for Learning Distributions under Communication Constraints via Fisher Information

13 citations · 40 across the 16 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

cs.IT2025

Functional uniqueness and stability of Gaussian priors in optimal L1 estimation

Leighton Barnes, Alex Dytso

We study when optimal Bayesian estimators under Gaussian noise are approximately linear, and what this implies about the underlying prior distribution. Consider the classical model…

math.ST2025

Linearity-Inducing Priors for Poisson Parameter Estimation Under $L^{1}$ Loss

Leighton P. Barnes, Alex Dytso, H. Vincent Poor

We study prior distributions for Poisson parameter estimation under $L^{1}$ loss. Specifically, we construct a new family of prior distributions whose optimal Bayesian estimators (th…

cs.DS2025

On Unbiased Low-Rank Approximation with Minimum Distortion

Leighton Pate Barnes, Stephen Cameron, Benjamin Howard

We describe an algorithm for sampling a low-rank random matrix $Q$ that best approximates a fixed target matrix $P \in C^{n \times m}$ in the following sense: $Q$ is unbiased…

Functional uniqueness and stability of Gaussian priors in optimal L1 estimation

Linearity-Inducing Priors for Poisson Parameter Estimation Under L1 Loss

On Unbiased Low-Rank Approximation with Minimum Distortion

Linearity-Inducing Priors for Poisson Parameter Estimation Under $L^{1}$ Loss