Discovering Entity-Conditioned Lag Heterogeneity: A Lag-Gated Neural Audit Framework for Panel Time Series

📅 2026-05-20
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🤖 AI Summary
This study addresses the challenge that existing methods struggle to effectively audit how diverse entities respond to historical signals under heterogeneous time lags. To tackle this, the problem is formulated as a temporal panel mining task, and the AC-GATE framework is proposed. AC-GATE uniquely treats effective time lags as structured outputs rather than post-hoc interpretations, introduces a scale-invariant lag gating mechanism, and integrates an adaptive conditional encoder with a hierarchical auditing protocol to decouple prediction calibration from lag discovery. Experiments demonstrate that the method accurately recovers ground-truth lag structures in synthetic data and yields non-degenerate, externally consistent heterogeneous lags on real-world national panel data, thereby enabling auditable lag discovery.
📝 Abstract
Country-level temporal panels are widely used in empirical analysis. Researchers often need to audit how different entities respond to historical signals over different time horizons. Current approaches typically do not provide directly auditable entity-specific lag summaries. We formulate entity-conditioned heterogeneous lag discovery as a temporal panel mining task and propose AC-GATE, an Adaptive-Conditioning Encoder with a Scale-Invariant Lag Gate. It instantiates conditional Moderated Distributed Lag by using observable entity-level proxies to condition lag-weight distributions over historical observations, thereby making effective lags structural outputs of the model rather than post-hoc explanations. The evaluation is based on a layered audit protocol that separates predictive calibration from lag discovery. A synthetic panel with known ground-truth lags is used for mechanism recovery testing, and two real-world country-level panels are used for external audit and stress testing. The results show that AC-GATE can recover heterogeneous lag structure in synthetic data, and generates non-degenerate, externally structured effective lags in real data.
Problem

Research questions and friction points this paper is trying to address.

lag heterogeneity
panel time series
entity-conditioned
temporal audit
distributed lag
Innovation

Methods, ideas, or system contributions that make the work stand out.

entity-conditioned lag heterogeneity
AC-GATE
temporal panel mining
Moderated Distributed Lag
lag-gated neural audit
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Andi Xu
School of Engineering, Jönköping University