TTCD:Transformer Integrated Temporal Causal Discovery from Non-Stationary Time Series Data
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Abstract (arXiv)
The widespread availability of complex time series data in various domains such as environmental science, epidemiology, and economics demands robust causal discovery methods that can identify intricate contemporaneous and lagged relationships in non-stationary, nonlinear, and noisy settings. Existing constraint-based methods often rely heavily on conditional independence tests that degrade for limited data samples and complex distributions, while score-based methods impose strong statistical assumptions. Recent methods address special cases such as change point detection or distribution shifts, but struggle to provide a unified solution. We propose the Transformer Integrated Temporal Causal Discovery (TTCD) Framework, a novel end-to-end approach that learns contemporaneous and lagged causal relations from non-stationary time series. TTCD introduces a Non-Stationary Feature Learner integrating temporal and frequency-domain attention with dynamic non-stationarity profiling, and a custom Causal Structure Learner. A key innovation is reconstruction-guided causal signal distillation, to distill essential causal signals through the reconstruction process of the transformer decoder, which mitigates noise and spurious correlations while preserving meaningful dependencies. The Causal Structure Learner operates on distilled reconstructed signals to infer the underlying causal graph without restrictive assumptions on noise distributions or data generation processes. Experiments on synthetic, benchmark, and real world datasets show that TTCD consistently outperforms state-of-the-art baselines in both accuracy and consistency with domain knowledge, demonstrating the approach's effectiveness for causal discovery in challenging real world contexts.
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References · 22
- 2022Are Transformers Effective for Time Series Forecasting?cited by 1,400
- 2022FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecastingcited by 1,200
- 2018DAGs with NO TEARS: Continuous Optimization for Structure Learningcited by 745
- 2022Transformers in Time Series: A Surveycited by 489
- 2022Non-stationary Transformers: Exploring the Stationarity in Time Series Forecastingcited by 385
- 2019DAG-GNN: DAG Structure Learning with Graph Neural Networkscited by 329
- 2017Detecting causal associations in large nonlinear time series datasetscited by 240
- 2019Learning Sparse Nonparametric DAGscited by 207
- 2020DYNOTEARS: Structure Learning from Time-Series Datacited by 198
- 2023Frequency-domain MLPs are More Effective Learners in Time Series Forecastingcited by 170
- 2019Causal Discovery from Heterogeneous/Nonstationary Data with Independent Changescited by 166
- 2020Discovering contemporaneous and lagged causal relations in autocorrelated nonlinear time series datasetscited by 136
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- 2020Amortized Causal Discovery: Learning to Infer Causal Graphs from Time-Series Datacited by 99
- 2020High-recall causal discovery for autocorrelated time series with latent confounderscited by 82
- 2023Causal Discovery from Temporal Data: An Overview and New Perspectivescited by 43
- 2023A Survey on Causal Discovery Methods for I.I.D. and Time Series Datacited by 35
- 2021NTS-NOTEARS: Learning Nonparametric DBNs With Prior Knowledgecited by 33
- 2024CausalFormer: An Interpretable Transformer for Temporal Causal Discoverycited by 17
- 2021Causal Discovery from Conditionally Stationary Time Seriescited by 11
- 2023CDANs: Temporal Causal Discovery from Autocorrelated and Non-Stationary Time Series Datacited by 7
- 2025SpaceTime: Causal Discovery from Non-Stationary Time Seriescited by 5
- 2024FAITH: Frequency-domain Attention In Two Horizons for Time Series Forecastingcited by 1
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