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Generalization Bounds For Meta-Learning: An Information-Theoretic Analysis

NeurIPS 2021 · Learning theory and algorithms › Kernels and regression theory · approach: Information-theoretic generalization bounds · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Estimate the Meta-SGLD generalization bound using gradient incoherence rather than gradient normMeta-SGLD · Synthetic 2D mean estimationgeneralization-bound magnitude: improved by a factor of 10 to 100Helped
Estimate the Meta-SGLD generalization bound using gradient incoherence rather than gradient normMeta-SGLD · Omniglot, m_tr=8 and 15generalization-bound magnitudeHelped
Estimate the Meta-SGLD generalization bound using gradient incoherence rather than gradient normMeta-SGLD · Omniglot, m_tr=1generalization-bound magnitudeNo clear effect
Use m_tr=1 rather than the other evaluated training-set sizesMeta-SGLD · Synthetic 2D mean estimationactual generalization gapHurt
Use m_va=8 rather than the other evaluated validation-set sizesMeta-SGLD · Omniglotgeneralization-bound magnitudeHelped

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