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Main Authors: Xia, Yutong, Xu, Chang, Liang, Yuxuan, Zhao, Li, Wen, Qingsong, Zimmermann, Roger, Bian, Jiang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.20846
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author Xia, Yutong
Xu, Chang
Liang, Yuxuan
Zhao, Li
Wen, Qingsong
Zimmermann, Roger
Bian, Jiang
author_facet Xia, Yutong
Xu, Chang
Liang, Yuxuan
Zhao, Li
Wen, Qingsong
Zimmermann, Roger
Bian, Jiang
contents Time series generation (TSG) synthesizes realistic sequences and has achieved remarkable success. Among TSG, conditional models generate sequences given observed covariates, however, such models learn observational correlations without considering unobserved confounding. In this work, we propose a causal perspective on conditional TSG and introduce causal time series generation as a new TSG task family, formalized within Pearl's causal ladder, extending beyond observational generation to include interventional and counterfactual settings. To instantiate these tasks, we develop CaTSG, a unified diffusion-based framework with backdoor-adjusted guidance that causally steers sampling toward desired interventions and individual counterfactuals while preserving observational fidelity. Specifically, our method derives causal score functions via backdoor adjustment and the abduction-action-prediction procedure, thus enabling principled support for all three levels of TSG. Extensive experiments on both synthetic and real-world datasets show that CaTSG achieves superior fidelity and also supporting interventional and counterfactual generation that existing baselines cannot handle. Overall, we propose the causal TSG family and instantiate it with CaTSG, providing an initial proof-of-concept and opening a promising direction toward more reliable simulation under interventions and counterfactual generation.
format Preprint
id arxiv_https___arxiv_org_abs_2509_20846
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Causal Time Series Generation via Diffusion Models
Xia, Yutong
Xu, Chang
Liang, Yuxuan
Zhao, Li
Wen, Qingsong
Zimmermann, Roger
Bian, Jiang
Machine Learning
Time series generation (TSG) synthesizes realistic sequences and has achieved remarkable success. Among TSG, conditional models generate sequences given observed covariates, however, such models learn observational correlations without considering unobserved confounding. In this work, we propose a causal perspective on conditional TSG and introduce causal time series generation as a new TSG task family, formalized within Pearl's causal ladder, extending beyond observational generation to include interventional and counterfactual settings. To instantiate these tasks, we develop CaTSG, a unified diffusion-based framework with backdoor-adjusted guidance that causally steers sampling toward desired interventions and individual counterfactuals while preserving observational fidelity. Specifically, our method derives causal score functions via backdoor adjustment and the abduction-action-prediction procedure, thus enabling principled support for all three levels of TSG. Extensive experiments on both synthetic and real-world datasets show that CaTSG achieves superior fidelity and also supporting interventional and counterfactual generation that existing baselines cannot handle. Overall, we propose the causal TSG family and instantiate it with CaTSG, providing an initial proof-of-concept and opening a promising direction toward more reliable simulation under interventions and counterfactual generation.
title Causal Time Series Generation via Diffusion Models
topic Machine Learning
url https://arxiv.org/abs/2509.20846