Stochastic Diffusion: A Diffusion Probabilistic Model for Stochastic Time Series Forecasting

Fuente: arXiv
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Autores principales: Liu, Yuansan, Wijewickrema, Sudanthi, Hu, Dongting, Bester, Christofer, O'Leary, Stephen, Bailey, James
Formato: Preprint
Publicado: 2024
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author Liu, Yuansan
Wijewickrema, Sudanthi
Hu, Dongting
Bester, Christofer
O'Leary, Stephen
Bailey, James
author_facet Liu, Yuansan
Wijewickrema, Sudanthi
Hu, Dongting
Bester, Christofer
O'Leary, Stephen
Bailey, James
contents Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to model highly stochastic time series data remains a challenge. In this paper, we propose a novel Stochastic Diffusion (StochDiff) model which learns data-driven prior knowledge at each time step by utilizing the representational power of the stochastic latent spaces to model the variability of the multivariate time series data. The learnt prior knowledge helps the model to capture complex temporal dynamics and the inherent uncertainty of the data. This improves its ability to model highly stochastic time series data. Through extensive experiments on real-world datasets, we demonstrate the effectiveness of our proposed model on stochastic time series forecasting. Additionally, we showcase an application of our model for real-world surgical guidance, highlighting its potential to benefit the medical community.
format Preprint
id arxiv_https___arxiv_org_abs_2406_02827
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stochastic Diffusion: A Diffusion Probabilistic Model for Stochastic Time Series Forecasting
Liu, Yuansan
Wijewickrema, Sudanthi
Hu, Dongting
Bester, Christofer
O'Leary, Stephen
Bailey, James
Machine Learning
Artificial Intelligence
Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to model highly stochastic time series data remains a challenge. In this paper, we propose a novel Stochastic Diffusion (StochDiff) model which learns data-driven prior knowledge at each time step by utilizing the representational power of the stochastic latent spaces to model the variability of the multivariate time series data. The learnt prior knowledge helps the model to capture complex temporal dynamics and the inherent uncertainty of the data. This improves its ability to model highly stochastic time series data. Through extensive experiments on real-world datasets, we demonstrate the effectiveness of our proposed model on stochastic time series forecasting. Additionally, we showcase an application of our model for real-world surgical guidance, highlighting its potential to benefit the medical community.
title Stochastic Diffusion: A Diffusion Probabilistic Model for Stochastic Time Series Forecasting
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2406.02827