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Relaxed Efficient Acquisition of Context and Temporal Features

Yunni Qu, Dzung Dinh, Grant King, Whitney Ringwald, Bing Cai Kok, Kathleen Gates, Aiden Wright, Junier Oliva

Abstract

In many biomedical applications, measurements are not freely available at inference time: each laboratory test, imaging modality, or assessment incurs financial cost, time burden, or patient risk. Longitudinal active feature acquisition (LAFA) seeks to optimize predictive performance under such constraints by adaptively selecting measurements over time, yet the problem remains inherently challenging due to temporally coupled decisions (missed early measurements cannot be revisited, and acquisition choices influence all downstream predictions). Moreover, real-world clinical workflows typically begin with an initial onboarding phase, during which relatively stable contextual descriptors (e.g., demographics or baseline characteristics) are collected once and subsequently condition longitudinal decision-making. Despite its practical importance, the efficient selection of onboarding context has not been studied jointly with temporally adaptive acquisition. We therefore propose REACT (Relaxed Efficient Acquisition of Context and Temporal features), an end-to-end differentiable framework that simultaneously optimizes (i) selection of onboarding contextual descriptors and (ii) adaptive feature--time acquisition plans for longitudinal measurements under cost constraints. REACT employs a Gumbel--Sigmoid relaxation with straight-through estimation to enable gradient-based optimization over discrete acquisition masks, allowing direct backpropagation from prediction loss and acquisition cost. Across real-world longitudinal health and behavioral datasets, REACT achieves improved predictive performance at lower acquisition costs compared to existing longitudinal acquisition baselines, demonstrating the benefit of modeling onboarding and temporally coupled acquisition within a unified optimization framework.

Relaxed Efficient Acquisition of Context and Temporal Features

Abstract

In many biomedical applications, measurements are not freely available at inference time: each laboratory test, imaging modality, or assessment incurs financial cost, time burden, or patient risk. Longitudinal active feature acquisition (LAFA) seeks to optimize predictive performance under such constraints by adaptively selecting measurements over time, yet the problem remains inherently challenging due to temporally coupled decisions (missed early measurements cannot be revisited, and acquisition choices influence all downstream predictions). Moreover, real-world clinical workflows typically begin with an initial onboarding phase, during which relatively stable contextual descriptors (e.g., demographics or baseline characteristics) are collected once and subsequently condition longitudinal decision-making. Despite its practical importance, the efficient selection of onboarding context has not been studied jointly with temporally adaptive acquisition. We therefore propose REACT (Relaxed Efficient Acquisition of Context and Temporal features), an end-to-end differentiable framework that simultaneously optimizes (i) selection of onboarding contextual descriptors and (ii) adaptive feature--time acquisition plans for longitudinal measurements under cost constraints. REACT employs a Gumbel--Sigmoid relaxation with straight-through estimation to enable gradient-based optimization over discrete acquisition masks, allowing direct backpropagation from prediction loss and acquisition cost. Across real-world longitudinal health and behavioral datasets, REACT achieves improved predictive performance at lower acquisition costs compared to existing longitudinal acquisition baselines, demonstrating the benefit of modeling onboarding and temporally coupled acquisition within a unified optimization framework.
Paper Structure (53 sections, 22 equations, 13 figures, 9 tables, 2 algorithms)

This paper contains 53 sections, 22 equations, 13 figures, 9 tables, 2 algorithms.

Figures (13)

  • Figure 2: Longitudinal planner. Given the onboarding context and longitudinal measurements observed up to time $t$, the planner outputs a binary acquisition mask over future feature--time pairs. The left portion of the mask corresponds to previously acquired measurements (unused), while the right portion specifies the future acquisition plan, judged against the cost-benefit objective. The earliest selected future time defines the next acquisition time, $t_{\mathrm{next}}$.
  • Figure 3: AUROC/total cost of models across various average acquisition costs (budgets) on test data. The dashed line is evaluating the pretrained classifier from REACT with all features available.
  • Figure 4: Example feature acquisition rollouts using REACT for two distinct instances from the (a) CHEEARS and (b) WOMAC test sets. For visual clarity, only the selected features for these instances are displayed.
  • Figure 5: Qualitative visualization of longitudinal acquisition dynamics by REACT across datasets. Metrics are reported per dataset on the test set as (Total/Longitudinal Costs $\mid$ AUROC/AUPRC): ILIADD (35.739/23.993 $\mid$ 0.842/0.706), CHEEARS (13.275/11.275 $\mid$ 0.673/0.540), ADNI (12.635/10.535 $\mid$ 0.823/0.678), WOMAC (30.217/28.141 $\mid$ 0.670/0.355), KLG (29.243/26.869 $\mid$ 0.812/0.621). For visual clarity, only the selected features are displayed, and the stop probabilities are rounded.
  • Figure 6: Qualitative comparison of acquisition of REACT, DIME, and RAS on the ADNI dataset. Metrics are reported per framework on the test set as (Total/Longitudinal Costs $\mid$ AUROC/AUPRC): REACT (5.335/3.235 $\mid$ 0.824/0.683), DIME (5.619/3.630 $\mid$ 0.644/0.483), RAS (8.675/4.193 $\mid$ 0.817/0.684)
  • ...and 8 more figures