Jingbo Liu

collaborators

2 papers

math.ST2024

$L^{1}$ Estimation: On the Optimality of Linear Estimators

Leighton P. Barnes, Alex Dytso, Jingbo Liu +1

Consider the problem of estimating a random variable $X$ from noisy observations $Y = X + Z$ , where $Z$ is standard normal, under the $L^{1}$ fidelity criterion. It is well known that…

math.ST2024

Multivariate Priors and the Linearity of Optimal Bayesian Estimators under Gaussian Noise

Leighton P. Barnes, Alex Dytso, Jingbo Liu +1

Consider the task of estimating a random vector $X$ from noisy observations $Y = X + Z$ , where $Z$ is a standard normal vector, under the $L^{p}$ fidelity criterion. This work establ…

L1 Estimation: On the Optimality of Linear Estimators

Multivariate Priors and the Linearity of Optimal Bayesian Estimators under Gaussian Noise

$L^{1}$ Estimation: On the Optimality of Linear Estimators