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Adaptive Labeling for Efficient Out-of-distribution Model Evaluation

NeurIPS 2024 · Reinforcement learning › Policy gradient and actor-critic · approach: Alternative policy update rules · 1 citations (OpenAlex)

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Proposes adaptive labeling as an MDP over posterior beliefs, optimized with autodiff pathwise policy gradients through simulated one-step lookahead rollouts, to evaluate models under out-of-support selection bias.

Problem

Evaluating ML model performance under severe selection bias and out-of-support distribution shift when ground-truth labels are costly, so one must choose which inputs to label in batches to minimize posterior uncertainty about model error.

Approach

Formulates batch label selection as an MDP whose states are posterior beliefs over the data-generating function, and optimizes a differentiable K-subset sampling policy with pathwise (autodiff) gradients through simulated posterior updates instead of high-variance REINFORCE; the framework is agnostic to the UQ method (GPs or Ensemble+).

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Autodiff 1-lookahead instead of random samplingEnsemble+ adaptive labeling · Ensemble+ toy settingVariance of ℓ2 loss estimate: 7129.8 ± 1027.0 -> 1697.1 ± 0.0Helped
Use Autodiff 1-lookahead instead of random samplingEnsemble+ adaptive labeling · Ensemble+ toy settingError of ℓ2 loss estimate: 136.2 ± 8.28 -> 45.27 ± 0.0Helped
Use Autodiff 1-lookahead instead of static uncertainty samplingEnsemble+ adaptive labeling · Ensemble+ toy settingVariance of ℓ2 loss estimate: 10852 ± 0.0 -> 1697.1 ± 0.0Helped
Use Autodiff 1-lookahead instead of static uncertainty samplingEnsemble+ adaptive labeling · Ensemble+ toy settingError of ℓ2 loss estimate: 162.156 ± 0.0 -> 45.27 ± 0.0Helped
Use Autodiff 1-lookahead instead of sequential uncertainty samplingEnsemble+ adaptive labeling · Ensemble+ toy settingVariance of ℓ2 loss estimate: 8585.5 ± 898.9 -> 1697.1 ± 0.0Helped
Use Autodiff 1-lookahead instead of sequential uncertainty samplingEnsemble+ adaptive labeling · Ensemble+ toy settingError of ℓ2 loss estimate: 144 ± 6.93 -> 45.27 ± 0.0Helped
Replace REINFORCE policy gradients with pathwise gradients in Autodiff 1-lookaheadEnsemble+ adaptive labeling · Ensemble+ toy settingVariance of ℓ2 loss estimate: 1697.1 ± 0.0 -> 1697.1 ± 0.0No clear effect
Replace REINFORCE policy gradients with pathwise gradients in Autodiff 1-lookaheadEnsemble+ adaptive labeling · Ensemble+ toy settingError of ℓ2 loss estimate: 45.27 ± 0.0 -> 45.27 ± 0.0No clear effect

Surprising findings

Limitations

Experimental setup

Datasets: synthetic GP data (51 clusters) eICU

Benchmarks: synthetic GP data eICU

Metrics: variance of MSE under posterior error of estimated MSE vs oracle

Baselines: REINFORCE uncertainty sampling (static) uncertainty sampling (sequential) random sampling

Builds on: REINFORCE K-subset sampling (Xie and Ermon) Ensemble+ knowledge gradient

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