Latent Target Score Matching, with an application to Simulation-Based Inference

Fuente: arXiv
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Autores principales: Ko, Joohwan, Geffner, Tomas
Formato: Preprint
Publicado: 2026
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author Ko, Joohwan
Geffner, Tomas
author_facet Ko, Joohwan
Geffner, Tomas
contents Denoising score matching (DSM) for training diffusion models may suffer from high variance at low noise levels. Target Score Matching (TSM) mitigates this when clean data scores are available, providing a low-variance objective. In many applications clean scores are inaccessible due to the presence of latent variables, leaving only joint signals exposed. We propose Latent Target Score Matching (LTSM), an extension of TSM to leverage joint scores for low-variance supervision of the marginal score. While LTSM is effective at low noise levels, a mixture with DSM ensures robustness across noise scales. Across simulation-based inference tasks, LTSM consistently improves variance, score accuracy, and sample quality.
format Preprint
id arxiv_https___arxiv_org_abs_2602_07189
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Latent Target Score Matching, with an application to Simulation-Based Inference
Ko, Joohwan
Geffner, Tomas
Machine Learning
Denoising score matching (DSM) for training diffusion models may suffer from high variance at low noise levels. Target Score Matching (TSM) mitigates this when clean data scores are available, providing a low-variance objective. In many applications clean scores are inaccessible due to the presence of latent variables, leaving only joint signals exposed. We propose Latent Target Score Matching (LTSM), an extension of TSM to leverage joint scores for low-variance supervision of the marginal score. While LTSM is effective at low noise levels, a mixture with DSM ensures robustness across noise scales. Across simulation-based inference tasks, LTSM consistently improves variance, score accuracy, and sample quality.
title Latent Target Score Matching, with an application to Simulation-Based Inference
topic Machine Learning
url https://arxiv.org/abs/2602.07189