Causal-INSIGHT: Probing Temporal Models to Extract Causal Structure

arXiv cs.LG / 3/27/2026

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Key Points

  • Causal-INSIGHT is introduced as a model-agnostic, post-hoc framework to extract a directed, time-lagged influence structure from already-trained temporal predictors.
  • Instead of learning the causal graph of the underlying data-generating process, it probes how a fixed predictor responds to intervention-inspired input clamping at inference time.
  • The method builds directed temporal influence signals from these clamping responses to characterize which variables and time lags the model relies on for prediction.
  • It proposes Qbic, a sparsity-aware graph selection criterion that trades off predictive fidelity against structural complexity without needing ground-truth graph labels.
  • Experiments on synthetic, simulated, and realistic benchmarks report generalization across backbone model types and improved temporal delay localization when applied to existing predictors.

Abstract

Understanding directed temporal interactions in multivariate time series is essential for interpreting complex dynamical systems and the predictive models trained on them. We present Causal-INSIGHT, a model-agnostic, post-hoc interpretation framework for extracting model-implied (predictor-dependent), directed, time-lagged influence structure from trained temporal predictors. Rather than inferring causal structure at the level of the data-generating process, Causal-INSIGHT analyzes how a fixed, pre-trained predictor responds to systematic, intervention-inspired input clamping applied at inference time. From these responses, we construct directed temporal influence signals that reflect the dependencies the predictor relies on for prediction, and introduce Qbic, a sparsity-aware graph selection criterion that balances predictive fidelity and structural complexity without requiring ground-truth graph labels. Experiments across synthetic, simulated, and realistic benchmarks show that Causal-INSIGHT generalizes across diverse backbone architectures, maintains competitive structural accuracy, and yields significant improvements in temporal delay localization when applied to existing predictors.