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Approximating Full Conformal Prediction at Scale via Influence Functions

AAAI 2023 · Learning theory and algorithms › Prediction and decision losses · approach: Conformal prediction sets · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Approximate full CP scores with influence functions (ACP, deleted) instead of using split conformal predictionACP vs SCP · MNIST, CIFAR-10, and US Censusefficiency AUCHelped
Use ACP rather than RAPSACP · MNIST and CIFAR-10, and most US Census model settingsefficiency AUCHelped
Use ACP rather than CV+ACP · MNIST, CIFAR-10, and US Censusefficiency AUCHelped
Use RAPS instead of ACPLogistic regression · US Censusefficiency AUC: .276 vs .183Helped
Use the deleted rather than ordinary nonconformity scheme (ablation)ACP · MNIST, CIFAR-10, and US Censusprediction set efficiencyHelped
Use direct rather than indirect influence approximation (ablation)ACP · Synthetic datanonconformity-score approximation errorHelped
Increase the training-set sizeACP · Synthetic dataapproximation error to full CP: <10^{-3} apart for 10^{3} training pointsHelped
Increase regularization strengthACP · Synthetic dataapproximation error to full CPHelped
Use ACP rather than full CPACP · Synthetic data with 1000 training points and 100 test pointsruntime: approximately 5 days vs less than 1 hourHelped

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