Half-Space and Box Constraints as NUV Priors: First Results

08/31/2021
by   Raphael Keusch, et al.
0

Normals with unknown variance (NUV) can represent many useful priors and blend well with Gaussian models and message passing algorithms. NUV representations of sparsifying priors have long been known, and NUV representations of binary (and M-level) priors have been proposed very recently. In this document, we propose NUV representations of half-space constraints and box constraints, which allows to add such constraints to any linear Gaussian model with any of the previously known NUV priors without affecting the computational tractability.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/23/2015

Approximate Message Passing with Restricted Boltzmann Machine Priors

Approximate Message Passing (AMP) has been shown to be an excellent stat...
research
07/31/2022

Unitary Approximate Message Passing for Matrix Factorization

We consider matrix factorization (MF) with certain constraints, which fi...
research
08/26/2021

Selection of inverse gamma and half-t priors for hierarchical models: sensitivity and recommendations

While the importance of prior selection is well understood, establishing...
research
01/16/2014

Properties of Bethe Free Energies and Message Passing in Gaussian Models

We address the problem of computing approximate marginals in Gaussian pr...
research
07/20/2018

Prior Convictions: Black-Box Adversarial Attacks with Bandits and Priors

We introduce a framework that unifies the existing work on black-box adv...
research
07/01/2022

Maximum a posteriori estimators in ℓ^p are well-defined for diagonal Gaussian priors

We prove that maximum a posteriori estimators are well-defined for diago...
research
04/29/2022

Decorated Linear Relations: Extending Gaussian Probability with Uninformative Priors

We introduce extended Gaussian distributions as a precise and principled...

Please sign up or login with your details

Forgot password? Click here to reset