Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformation

Abstract In real-world high-dimensional systems, both causal dependencies and temporal information of key variables are essential for dissecting the underlying mechanisms governing system dynamics. However, effective approaches to synthesize these two interconnected aspects for deeper insights remai...

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Main Authors: Sihua Cai, Hao Peng, Rui Liu, Pei Chen
Format: Article
Language:English
Published: Nature Portfolio 2025-06-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-025-02170-6
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author Sihua Cai
Hao Peng
Rui Liu
Pei Chen
author_facet Sihua Cai
Hao Peng
Rui Liu
Pei Chen
author_sort Sihua Cai
collection DOAJ
description Abstract In real-world high-dimensional systems, both causal dependencies and temporal information of key variables are essential for dissecting the underlying mechanisms governing system dynamics. However, effective approaches to synthesize these two interconnected aspects for deeper insights remain lacking. Here we show a neural network framework, the Causal-oriented Representation Learning Predictor (CReP), which jointly conducts causal analysis and multistep forecasting from a unified perspective. CReP implicitly learns latent causal representations from observed data while simultaneously making multistep predictions, and explicitly interprets the representations to uncover the causes and effects of target variable. The core idea of CReP is to decompose the original space into three orthogonal latent factors, each capturing distinct causal representations: cause-related, effect-related, and non-causal representations of the target variable. The reconstruction-based dynamic causation, generalized through spatiotemporal information (STI) transformation mechanism, provides a theoretical foundation for simultaneously modeling causal interactions via latent representations and predicting future states using the effect representation. Evaluations on three simulation models and two real-world datasets demonstrate CReP’s robust forecasting accuracy and reliable causal insights. As a self-supervised-learning approach, CReP shows significant potential for practical applications and provides a unified framework to reveal intrinsic mechanisms in dynamical systems by integrating causal relationships and temporal information.
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spelling doaj-art-f07de10953e140c5a369ff7dd954ea462025-08-20T03:21:03ZengNature PortfolioCommunications Physics2399-36502025-06-018111410.1038/s42005-025-02170-6Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformationSihua Cai0Hao Peng1Rui Liu2Pei Chen3School of Mathematics, South China University of TechnologySchool of Mathematics, South China University of TechnologySchool of Mathematics, South China University of TechnologySchool of Mathematics, South China University of TechnologyAbstract In real-world high-dimensional systems, both causal dependencies and temporal information of key variables are essential for dissecting the underlying mechanisms governing system dynamics. However, effective approaches to synthesize these two interconnected aspects for deeper insights remain lacking. Here we show a neural network framework, the Causal-oriented Representation Learning Predictor (CReP), which jointly conducts causal analysis and multistep forecasting from a unified perspective. CReP implicitly learns latent causal representations from observed data while simultaneously making multistep predictions, and explicitly interprets the representations to uncover the causes and effects of target variable. The core idea of CReP is to decompose the original space into three orthogonal latent factors, each capturing distinct causal representations: cause-related, effect-related, and non-causal representations of the target variable. The reconstruction-based dynamic causation, generalized through spatiotemporal information (STI) transformation mechanism, provides a theoretical foundation for simultaneously modeling causal interactions via latent representations and predicting future states using the effect representation. Evaluations on three simulation models and two real-world datasets demonstrate CReP’s robust forecasting accuracy and reliable causal insights. As a self-supervised-learning approach, CReP shows significant potential for practical applications and provides a unified framework to reveal intrinsic mechanisms in dynamical systems by integrating causal relationships and temporal information.https://doi.org/10.1038/s42005-025-02170-6
spellingShingle Sihua Cai
Hao Peng
Rui Liu
Pei Chen
Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformation
Communications Physics
title Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformation
title_full Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformation
title_fullStr Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformation
title_full_unstemmed Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformation
title_short Causal-oriented representation learning for time-series forecasting based on the spatiotemporal information transformation
title_sort causal oriented representation learning for time series forecasting based on the spatiotemporal information transformation
url https://doi.org/10.1038/s42005-025-02170-6
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AT haopeng causalorientedrepresentationlearningfortimeseriesforecastingbasedonthespatiotemporalinformationtransformation
AT ruiliu causalorientedrepresentationlearningfortimeseriesforecastingbasedonthespatiotemporalinformationtransformation
AT peichen causalorientedrepresentationlearningfortimeseriesforecastingbasedonthespatiotemporalinformationtransformation