How to Evaluate a Home in Heartopia

If you’re new to Home Evaluations, this Heartopia guide will walk you through everything you need to know to submit one. We’ll cover the requirements, the process, and all the rewards, so you can decide if it’s worth the effort to decorate your home.



![Robust principal component analysis successfully recovers underlying low-rank plus sparse structure in synthetic matrices of size 100x80 with high probability, achieving a recovery success rate consistently exceeding 99.9% as quantified by a normalized reconstruction error of less than [latex]10^{-3}[/latex] across 10,000 independent trials.](https://arxiv.org/html/2601.21333v1/x4.png)

