Learning the learning rate for prediction with expert advice

Koolen, Wouter M., van Erven, Tim, & Grünwald, Peter D. (2014) Learning the learning rate for prediction with expert advice. In Ghahramani, Z., Welling, M., Cortes, C., Lawrence, N.D., & Weinberger, K.Q. (Eds.) Advances in Neural Information Processing Systems 27 (NIPS 2014), Neural Information Processing Systems Foundation, Inc., Montreal, Quebec, Canada, pp. 2294-2302.

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Abstract

Most standard algorithms for prediction with expert advice depend on a parameter called the learning rate. This learning rate needs to be large enough to fit the data well, but small enough to prevent overfitting. For the exponential weights algorithm, a sequence of prior work has established theoretical guarantees for higher and higher data-dependent tunings of the learning rate, which allow for increasingly aggressive learning. But in practice such theoretical tunings often still perform worse (as measured by their regret) than ad hoc tuning with an even higher learning rate. To close the gap between theory and practice we introduce an approach to learn the learning rate. Up to a factor that is at most (poly)logarithmic in the number of experts and the inverse of the learning rate, our method performs as well as if we would know the empirically best learning rate from a large range that includes both conservative small values and values that are much higher than those for which formal guarantees were previously available. Our method employs a grid of learning rates, yet runs in linear time regardless of the size of the grid.

Impact and interest:

3 citations in Scopus
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ID Code: 82486
Item Type: Conference Paper
Refereed: No
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2014 [please consult the authors]
Deposited On: 12 Mar 2015 23:23
Last Modified: 26 May 2015 22:04

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