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Understanding Black-box Predictions via Influence Functions

ICML 2017 · Learning theory and algorithms › Prediction and decision losses · approach: Provable post-hoc explanations · 1,328 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace exact hinge with SmoothHinge t=0.001 for influence (ablation)influence functions on linear SVM · 1s vs 7s MNISTPearson's R: 0.95Helped
increase smoothing temperature from 0.001 to 0.1 (ablation)SmoothHinge influence · 1s vs 7s MNISTPearson's R: 0.95 -> 0.91Hurt
apply influence to non-converged non-convex CNN with damping 0.01influence functions · MNIST CNN (500k iters)Pearson's R: 0.86No clear effect
use stochastic approximation of inverse HVP (r=10, t=5,000) instead of exact CG (ablation)influence functions · 10-class MNIST logistic regressionagreement with leave-one-outNo clear effect
reduce stochastic repeats to r=1 (ablation)stochastic inverse HVP · 10-class MNISTidentification of influential pointsMixed
perturb 1 training image with influence-based attackInception top layer · dogs vs fishtest predictions flipped: 335 of 591 (57%)Helped
perturb 2 training images instead of 1 (ablation)influence training attack · dogs vs fishtest predictions flipped: 57% -> 77%Helped
perturb 10 training images (ablation)influence training attack · dogs vs fishtest predictions flipped: 77% -> all but 1 of 591Helped
inspect parameter coefficients instead of influence functionsdebugging baseline · hospital readmission child domain mismatchidentifying responsible features: 14/127 features had a larger coefficientHurt
use influence function ranking to identify responsible training pointsinfluence functions · hospital readmissionidentification of 4 child training points: 30-40 times as influentialHelped
prioritize flipped-label checking by self-influence rather than train loss or randominfluence functions · Enron1 spamtest accuracy and flipped data detectedHelped
train a further 500k iterations with full passesnon-converged CNN · MNIST subsettrain loss: 0.14 -> 0.12Helped

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