DoFlow: Flow-based Generative Models for Interventional and Counterfactual Forecasting on Time Series

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Hauptverfasser: Wu, Dongze, Qiu, Feng, Xie, Yao
Format: Preprint
Veröffentlicht: 2025
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author Wu, Dongze
Qiu, Feng
Xie, Yao
author_facet Wu, Dongze
Qiu, Feng
Xie, Yao
contents Time-series forecasting increasingly demands not only accurate observational predictions but also causal forecasting under interventional and counterfactual queries in multivariate systems. We present DoFlow, a flow-based generative model defined over a causal Directed Acyclic Graph (DAG) that delivers coherent observational and interventional predictions, as well as counterfactuals through the natural encoding-decoding mechanism of continuous normalizing flows (CNFs). We also provide a supporting counterfactual recovery theory under certain assumptions. Beyond forecasting, DoFlow provides explicit likelihoods of future trajectories, enabling principled anomaly detection. Experiments on synthetic datasets with various causal DAG structures and real-world hydropower and cancer-treatment time series show that DoFlow achieves accurate system-wide observational forecasting, enables causal forecasting over interventional and counterfactual queries, and effectively detects anomalies. This work contributes to the broader goal of unifying causal reasoning and generative modeling for complex dynamical systems.
format Preprint
id arxiv_https___arxiv_org_abs_2511_02137
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle DoFlow: Flow-based Generative Models for Interventional and Counterfactual Forecasting on Time Series
Wu, Dongze
Qiu, Feng
Xie, Yao
Machine Learning
Methodology
Time-series forecasting increasingly demands not only accurate observational predictions but also causal forecasting under interventional and counterfactual queries in multivariate systems. We present DoFlow, a flow-based generative model defined over a causal Directed Acyclic Graph (DAG) that delivers coherent observational and interventional predictions, as well as counterfactuals through the natural encoding-decoding mechanism of continuous normalizing flows (CNFs). We also provide a supporting counterfactual recovery theory under certain assumptions. Beyond forecasting, DoFlow provides explicit likelihoods of future trajectories, enabling principled anomaly detection. Experiments on synthetic datasets with various causal DAG structures and real-world hydropower and cancer-treatment time series show that DoFlow achieves accurate system-wide observational forecasting, enables causal forecasting over interventional and counterfactual queries, and effectively detects anomalies. This work contributes to the broader goal of unifying causal reasoning and generative modeling for complex dynamical systems.
title DoFlow: Flow-based Generative Models for Interventional and Counterfactual Forecasting on Time Series
topic Machine Learning
Methodology
url https://arxiv.org/abs/2511.02137