# On Stein's Method of Moments and Generalized Score Matching

arXiv: https://arxiv.org/abs/2602.06482 · HTML: https://mlsanity.com/paper/2602.06482/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 6 Feb 2026.

## Built on by (most cited first, 1 of 1)

- [The Score Kalman Filter](https://mlsanity.com/paper/2605.16644/) (2026)

## Abstract (arXiv)

The Stein class used in method of moments parameter estimation has two functions whichneedtobespecified, forwhichthereisnopersuasiveargumentsforanyparticular choice. We show that by setting one to be the derivative of the density score function with respect to the parameter leads to a generalized score matching estimator with a choice of weight function. However, choosing a suitable weight function for generalized score matching is not straightforward. We show the weight function is equivalent to a transform of the data and using a score estimator, with an optimal transform being to a normal sample, using for example Box-Cox. We compare our proposal with an alternative means by which to handle the weight function, which is to use a generalized method of moment estimator.