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Generalization Guarantees for Neural Architecture Search with Train-Validation Split

ICML 2021 · Learning theory and algorithms › Kernels and regression theory · approach: Generalization theory of deep networks · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase DARTS validation sample sizeDARTS · CIFAR-10test-validation error gap: 20 to 1000; around n_\mathcal{V}=250Helped
Use validation sizes at or below 100DARTS · CIFAR-10test risk: n_\mathcal{V}\leq 100Hurt
Train for more epochsDARTS · CIFAR-10test-validation error gapHurt
Use a spectral estimator on validation data to select the hyperparameter, then solve ERM on training datatwo-stage rank-1 learning · Overparameterized rank-1 learningpopulation risk: 1-\frac{1}{\bar{p}} -> 1-\frac{1}{\bar{p}}+\frac{200\bar{h}}{1-1/\bar{p}}Helped
Increase the product of feature dimensions and hyperparameter dimensions beyond the stated regimetwo-stage rank-1 learning · Overparameterized rank-1 learninghyperparameter recovery correlation: ph\lesssim{n^2}Hurt

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