Series-to-Series Diffusion Bridge Model

Fuente: arXiv
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Hauptverfasser: Yang, Hao, Feng, Zhanbo, Zhou, Feng, Qiu, Robert C, Ling, Zenan
Format: Preprint
Veröffentlicht: 2024
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author Yang, Hao
Feng, Zhanbo
Zhou, Feng
Qiu, Robert C
Ling, Zenan
author_facet Yang, Hao
Feng, Zhanbo
Zhou, Feng
Qiu, Robert C
Ling, Zenan
contents Diffusion models have risen to prominence in time series forecasting, showcasing their robust capability to model complex data distributions. However, their effectiveness in deterministic predictions is often constrained by instability arising from their inherent stochasticity. In this paper, we revisit time series diffusion models and present a comprehensive framework that encompasses most existing diffusion-based methods. Building on this theoretical foundation, we propose a novel diffusion-based time series forecasting model, the Series-to-Series Diffusion Bridge Model ($\mathrm{S^2DBM}$), which leverages the Brownian Bridge process to reduce randomness in reverse estimations and improves accuracy by incorporating informative priors and conditions derived from historical time series data. Experimental results demonstrate that $\mathrm{S^2DBM}$ delivers superior performance in point-to-point forecasting and competes effectively with other diffusion-based models in probabilistic forecasting.
format Preprint
id arxiv_https___arxiv_org_abs_2411_04491
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Series-to-Series Diffusion Bridge Model
Yang, Hao
Feng, Zhanbo
Zhou, Feng
Qiu, Robert C
Ling, Zenan
Machine Learning
Artificial Intelligence
Diffusion models have risen to prominence in time series forecasting, showcasing their robust capability to model complex data distributions. However, their effectiveness in deterministic predictions is often constrained by instability arising from their inherent stochasticity. In this paper, we revisit time series diffusion models and present a comprehensive framework that encompasses most existing diffusion-based methods. Building on this theoretical foundation, we propose a novel diffusion-based time series forecasting model, the Series-to-Series Diffusion Bridge Model ($\mathrm{S^2DBM}$), which leverages the Brownian Bridge process to reduce randomness in reverse estimations and improves accuracy by incorporating informative priors and conditions derived from historical time series data. Experimental results demonstrate that $\mathrm{S^2DBM}$ delivers superior performance in point-to-point forecasting and competes effectively with other diffusion-based models in probabilistic forecasting.
title Series-to-Series Diffusion Bridge Model
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2411.04491