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Prediction-Powered E-Values
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Extends prediction-powered inference from Z-estimation to e-values, giving a prediction-powered e-value construction that yields valid hypothesis tests, confidence sequences and e-value-based algorithms under costly labels.
Problem
Prediction-powered inference is largely restricted to Z-estimation problems (means, quantiles, regression coefficients), leaving many e-value-based procedures (anytime-valid testing, change-point detection, causal discovery) unsupported when expensive labels are scarce.
Approach
Debias the product of predictable e-value components using randomly sampled expensive labels with known collection probabilities (active-inference style), so the prediction-powered components keep the same conditional expectation as the original e-value components; any e-value-based procedure can then be made prediction-powered by substituting these components.
Key results
- Prediction-powered e-values give tighter valid confidence sequences than labelled-only and vanilla PPI on diabetes prevalence, while imputation fails to cover the true mean.
- In forest cover monitoring under poisoning, prediction-powered methods detect drift much faster than the labelled-only baseline with the same labels; imputation raises false alarms.
- In causal discovery with 10% labelling budget, the method detects over half of the edges, matching the full-data oracle, whereas labelled-only detects none.
Surprising findings
- Imputation detects distribution shift earlier but does so before the null is actually violated, producing high-confidence false alarms.
Limitations
- Requires components of e-values to be predictably bounded, forcing bet truncation and a loss of power.
- Measure-of-confidence-set bounds are only given under heavy assumptions and are not shown to be nonvacuous.
- Causal discovery relies on asymptotic p-values with batching, which are not truly sequential or nonasymptotic.
Experimental setup
Datasets: diabetes survey data (dataset of cited work) forest cover type dataset synthetic DAG data with 6 variables
Benchmarks: diabetes prevalence estimation forest cover online risk monitoring change-point detection on forest cover stream causal discovery on synthetic DAG
Metrics: confidence interval width e-value growth coverage detected edges
Baselines: only labelled samples imputation vanilla prediction-powered inference Fisher's z partial correlation test (PC algorithm)
Builds on: prediction-powered inference active statistical inference e-values aGRAPA PToE calibrator
Closest papers by meaning
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- Regression for the Mean: Auto-Evaluation and Inference with Few Labels through Post-hoc Regression (ICML 2025 · similarity 0.85)
- Prediction-Powered Causal Inferences (NeurIPS 2025 · similarity 0.85)
- QuEst: Enhancing Estimates of Quantile-Based Distributional Measures Using Model Predictions (ICML 2025 · similarity 0.84)
- FAB-PPI: Frequentist, Assisted by Bayes, Prediction-Powered Inference (ICML 2025 · similarity 0.84)
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