# An Iterative Algorithm for Regularized Non-negative Matrix Factorizations

arXiv: https://arxiv.org/abs/2410.22698 · HTML: https://mlsanity.com/paper/2410.22698/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 0 of its 10 references that are in the map.
- First posted on arXiv 30 Oct 2024.

## Abstract (arXiv)

We generalize the non-negative matrix factorization algorithm of Lee and Seung to accept a weighted norm, and to support ridge and Lasso regularization. We recast the Lee and Seung multiplicative update as an additive update which does not get stuck on zero values. We apply the companion R package rnnmf to the problem of finding a reduced rank representation of a database of cocktails.