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

arXiv: https://arxiv.org/abs/2109.00036 · HTML: https://mlsanity.com/paper/2109.00036/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 14 references that are in the map.
- First posted on arXiv 31 Aug 2021.

## Builds on (most cited first, 2 of 2)

- [Binary Control and Digital-to-Analog Conversion Using Composite NUV Priors and Iterative Gaussian Message Passing](https://mlsanity.com/paper/2102.00989/) (2021)
- [A Binarizing NUV Prior and its Use for M-Level Control and Digital-to-Analog Conversion](https://mlsanity.com/paper/2105.02599/) (2021)

## Abstract (arXiv)

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.