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Influence Functions in Deep Learning Are Fragile

ICLR 2021 · Learning theory and algorithms › Prediction and decision losses · approach: Losses for decision-making · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add weight decay (ablation)Iris feed-forward network · IrisSpearman correlation: 0.508 -> 0.97Helped
increase network depth (ablation)Iris feed-forward network · IrisSpearman correlationHurt
increase network width from 8 to 50 (ablation)Iris feed-forward network · IrisSpearman correlation: 0.82 -> 0.56Hurt
use stochastic estimation instead of the exact inverse-Hessian vector product (ablation)Influence functions · IrisSpearman correlationHurt
add weight decay (ablation)Small CNN influence estimates · MNIST, highest-loss test pointSpearman correlation: 0.35 -> 0.87Helped
evaluate lower-ranked training points around the 30th percentile instead of the top influential points (ablation)Small CNN influence estimates · small MNISTcorrelation with ground-truth influenceHurt
increase weight decay beyond 0.01 (ablation)Small CNN influence estimates · small MNISTcorrelation with ground-truth influenceHurt
use a test point at the 50th percentile of test losses rather than the highest-loss test point (ablation)Influence functions · MNIST and CIFAR-10correlation with ground-truth influenceMixed
remove weight decay (ablation)LeNet influence estimates · CIFAR-10, highest-loss test pointSpearman correlation: 0.69 -> 0.09Hurt
increase weight decay from 0.03 to 0.075 (ablation)Deeper Iris network · IrisSpearman correlation: 0.47 -> 0.72Helped
use single-example influence estimates at ImageNet scaleResNet-50 influence estimates · ImageNetPearson and Spearman correlation: less than $0.15$Hurt
use a larger group of training samples rather than a single sampleInfluence estimates · ImageNetreliability of ground-truth estimatesMixed

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