# Gradient-based Hyperparameter Optimization through Reversible Learning

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Dougal Maclaurin,
David Duvenaud,
Ryan Adams
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Proceedings of the 32nd International Conference on Machine Learning, PMLR 37:2113-2122, 2015.

#### Abstract

Tuning hyperparameters of learning algorithms is hard because gradients are usually unavailable. We compute exact gradients of cross-validation performance with respect to all hyperparameters by chaining derivatives backwards through the entire training procedure. These gradients allow us to optimize thousands of hyperparameters, including step-size and momentum schedules, weight initialization distributions, richly parameterized regularization schemes, and neural network architectures. We compute hyperparameter gradients by exactly reversing the dynamics of stochastic gradient descent with momentum.

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