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Meta-Curvature

2019-02-09NeurIPS 2019Code Available0· sign in to hype

Eunbyung Park, Junier B. Oliva

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Abstract

We propose meta-curvature (MC), a framework to learn curvature information for better generalization and fast model adaptation. MC expands on the model-agnostic meta-learner (MAML) by learning to transform the gradients in the inner optimization such that the transformed gradients achieve better generalization performance to a new task. For training large scale neural networks, we decompose the curvature matrix into smaller matrices in a novel scheme where we capture the dependencies of the model's parameters with a series of tensor products. We demonstrate the effects of our proposed method on several few-shot learning tasks and datasets. Without any task specific techniques and architectures, the proposed method achieves substantial improvement upon previous MAML variants and outperforms the recent state-of-the-art methods. Furthermore, we observe faster convergence rates of the meta-training process. Finally, we present an analysis that explains better generalization performance with the meta-trained curvature.

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Benchmark Results

DatasetModelMetricClaimedVerifiedStatus
Mini-Imagenet 5-way (1-shot)MC2+Accuracy55.73Unverified
Mini-Imagenet 5-way (5-shot)MC2+Accuracy70.33Unverified
OMNIGLOT - 1-Shot, 20-wayMC2+Accuracy88Unverified
OMNIGLOT - 1-Shot, 5-wayMC2+Accuracy99.97Unverified
OMNIGLOT - 5-Shot, 20-wayMC2+Accuracy99.65Unverified
OMNIGLOT - 5-Shot, 5-wayMC2+Accuracy99.89Unverified

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