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Research map / Learning theory and algorithms / Kernels and regression theory

Learning and Memorization

ICML 2018 · Learning theory and algorithms › Kernels and regression theory · approach: Empirical generalization measures · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase LUT network depth (layers of 1024 LUTs, k=2, 20 to 25 hidden layers) (ablation)Memorization LUT network · Pairwise-MNISTtest accuracy: test accuracy continues to improve for deeper networks (16 or 32 hidden layers)Helped
Increase LUT size k (fan-in) from 2 to 12 on real data (ablation)Memorization LUT network · Binary-MNISTtest accuracy: 0.66 at k=2 to 0.90 at k=12, then falls to 0.66 at k=16Mixed
Increase depth by adding hidden layers (5 layers of 1024 LUTs) versus layer-wise accuracy (ablation)Memorization LUT network · Binary-MNISTper-layer training accuracy: layer mean accuracy rises from 0.6055 (layer 1) to 0.8808 (layer 5)Helped
Train on random labels instead of real labels with k=12 (ablation)Memorization LUT network · Binary-MNISTtest accuracy: 0.90 on real labels vs 0.51 on random labelsHurt
Memorization with LUT network vs. lookup table of full input sizeMemorization · Binary-MNISTtest accuracy: network reaches 0.87 test accuracy; a full 784-input lookup table would not generalizeHelped
Use LUT memorization with best k per task rather than CIFAR-10 networks; on Pairwise-CIFAR-10 average test accuracyMemorization LUT network · Pairwise-CIFAR-10average test accuracy: average 0.76 with range 0.61 to 0.85No clear effect
Augment LUT lookup with 1-NN search at test time (ablation)Memorization LUT network · Binary-CIFAR-10test accuracyNo clear effect

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