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Doubly Robust Functional Representation Learning for Longitudinal Causal Inference with Irregular Histories

arXiv AI/CL/LG(论文)T2
01:3307/31, 01:33 AMPaperRead the original ↗Export MD ↓

Score

77
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Timeliness10 ×0.15

当前因果推断与深度学习结合是热点,论文刚发布即为时效前沿。

Source reliability9 ×0.15

来自arXiv预印本,非同行评议,但作者单位及方法严谨性值得信任。

Base 85.5 × T2 Source weight ×0.9 = 77

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Why selected

Strong methodological innovation, combining theoretical analysis with experimental validation, and offering a key negative result on real medical data, yielding high informational and practical value.

AI commentary

「This paper offers a crucial reminder: on real medical data, fancy deep representations may not outperform simple scalar summaries. For those building clinical decision support, check whether basic features suffice before deploying complex models. For methodologists, DR-FRL's integration of EIF with functional encoders is inspiring and worth reading.」

Quick overview

Longitudinal causal studies often record histories as irregular functional fragments, such as laboratory values, physiologic signals, and sensor streams. Standard doubly robust estimators usually require scalar summaries, while sequence learners optimize prediction losses that need not stabilize the efficient influence function (EIF). We propose Doubly Robust Functional Representation Learning (DR-FRL), a cross-fitted workflow that turns irregular histories into estimand-targeted states. Functional and temporal encoders map point clouds and prior histories into states, with EIF-targeted validation and diagnostics to support the estimating equation. Simulations show gains under high-dimensional functional confounding, informative measurement, weak support, or heavy-tailed pseudo-outcomes. A VitalDB audit shows that for this ICU-disposition endpoint, scalar laboratory summaries already carry much endpoint-relevant information.

  • Proposes DR-FRL, a framework combining functional encoders with EIF-targeted validation to convert irregular histories into estimand-targeted states.
  • Theoretical guarantees: the mean estimator is asymptotically linear under explicit rate, overlap, calibration, and stability conditions.
  • Simulations show gains over baselines under high-dimensional functional confounding, informative measurement, weak support, or heavy-tailed pseudo-outcomes.
  • A VitalDB audit finds that scalar laboratory summaries already carry much endpoint-relevant information for this ICU-disposition endpoint.

Full text

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In longitudinal causal inference, histories often appear as irregular functional data, while traditional doubly robust estimators rely on scalar summaries and sequence learners may deviate from the estimand. DR-FRL encodes irregular histories into states via cross-fitting and uses EIF diagnostics to check whether the state supports the estimating equation. Its core insight is that if the state preserves all nuisance information required by the EIF, representation error only enters second-order product remainders, preserving asymptotic linearity. Unlike ordinary Catoni robust aggregation, the approach maintains valid Wald inference. Simulations demonstrate advantages under high-dimensional functional confounding, informative measurement, weak support, and heavy-tailed pseudo-outcomes. A VitalDB case-control analysis reminds researchers that for ICU disposition prediction, scalar laboratory summaries may suffice, and complex functional representations may not yield extra gains—a negative conclusion that informs clinical application design.

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