arXiv Machine Learning By Tatsuya Yamada, Hiroshi Morioka, Yoshinobu Kawahara

Causal Representation Learning with Instantaneous and Lagged Relations via Nonstationarity

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The paper introduces iCReN, a framework for causal representation learning in time‑series data that jointly models instantaneous and lagged causal relations while handling nonstationarity. It establishes theoretical conditions for identifying latent states and their causal structures up to permutation and component‑wise invertible transformations, using an auxiliary variable linked to changes in transition‑noise distributions. Experiments show that iCReN accurately recovers latent states and both types of causal relations on synthetic data and improves downstream forecasting on real‑world data.

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