Pattern-Guided Diffusion Models

Fuente: arXiv
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Autori principali: Lin, Vivian, Jang, Kuk Jin, Si, Wenwen, Lee, Insup
Natura: Preprint
Pubblicazione: 2025
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author Lin, Vivian
Jang, Kuk Jin
Si, Wenwen
Lee, Insup
author_facet Lin, Vivian
Jang, Kuk Jin
Si, Wenwen
Lee, Insup
contents Diffusion models have shown promise in forecasting future data from multivariate time series. However, few existing methods account for recurring structures, or patterns, that appear within the data. We present Pattern-Guided Diffusion Models (PGDM), which leverage inherent patterns within temporal data for forecasting future time steps. PGDM first extracts patterns using archetypal analysis and estimates the most likely next pattern in the sequence. By guiding predictions with this pattern estimate, PGDM makes more realistic predictions that fit within the set of known patterns. We additionally introduce a novel uncertainty quantification technique based on archetypal analysis, and we dynamically scale the guidance level based on the pattern estimate uncertainty. We apply our method to two well-motivated forecasting applications, predicting visual field measurements and motion capture frames. On both, we show that pattern guidance improves PGDM's performance (MAE / CRPS) by up to 40.67% / 56.26% and 14.12% / 14.10%, respectively. PGDM also outperforms baselines by up to 65.58% / 84.83% and 93.64% / 92.55%.
format Preprint
id arxiv_https___arxiv_org_abs_2512_13945
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Pattern-Guided Diffusion Models
Lin, Vivian
Jang, Kuk Jin
Si, Wenwen
Lee, Insup
Machine Learning
Diffusion models have shown promise in forecasting future data from multivariate time series. However, few existing methods account for recurring structures, or patterns, that appear within the data. We present Pattern-Guided Diffusion Models (PGDM), which leverage inherent patterns within temporal data for forecasting future time steps. PGDM first extracts patterns using archetypal analysis and estimates the most likely next pattern in the sequence. By guiding predictions with this pattern estimate, PGDM makes more realistic predictions that fit within the set of known patterns. We additionally introduce a novel uncertainty quantification technique based on archetypal analysis, and we dynamically scale the guidance level based on the pattern estimate uncertainty. We apply our method to two well-motivated forecasting applications, predicting visual field measurements and motion capture frames. On both, we show that pattern guidance improves PGDM's performance (MAE / CRPS) by up to 40.67% / 56.26% and 14.12% / 14.10%, respectively. PGDM also outperforms baselines by up to 65.58% / 84.83% and 93.64% / 92.55%.
title Pattern-Guided Diffusion Models
topic Machine Learning
url https://arxiv.org/abs/2512.13945