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Information Theoretic Meta Learning with Gaussian Processes

2020-09-07 16:47:30
Michalis K. Titsias, Sotirios Nikoloutsopoulos, Alexandre Galashov

Abstract

We formulate meta learning using information theoretic concepts such as mutual information and the information bottleneck. The idea is to learn a stochastic representation or encoding of the task description, given by a training or support set, that is highly informative about predicting the validation set. By making use of variational approximations to the mutual information we derive a general and tractable framework for meta learning. We particularly develop new memory-based meta learning algorithms based on Gaussian processes and derive extensions that combine memory and gradient based meta learning. We demonstrate our method on few-shot regression and classification by using standard benchmarks such as Omniglot, mini-Imagenet and Augmented Omniglot.

Abstract (translated)

URL

https://arxiv.org/abs/2009.03228

PDF

https://arxiv.org/pdf/2009.03228.pdf


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