Importance Sampling Tree for Large-scale Empirical Expectation
Type of publication: | Conference paper |
Citation: | Canevet_ICML_2016 |
Publication status: | Accepted |
Booktitle: | Proceedings of the International Conference on Machine Learning (ICML) |
Year: | 2016 |
Month: | June |
Location: | New-York |
Abstract: | We propose a tree-based procedure inspired by the Monte-Carlo Tree Search that dynamically modulates an importance-based sampling to prioritize computation, while getting unbiased estimates of weighted sums. We apply this generic method to learning on very large training sets, and to the evaluation of large-scale SVMs. The core idea is to reformulate the estimation of a score - whether a loss or a prediction estimate - as an empirical expectation, and to use such a tree whose leaves carry the samples to focus efforts over the problematic "heavy weight" ones. We illustrate the potential of this approach on three problems: to improve Adaboost and a multi-layer perceptron on 2D synthetic tasks with several million points, to train a large-scale convolution network on several millions deformations of the CIFAR data-set, and to compute the response of a SVM with several hundreds of thousands of support vectors. In each case, we show how it either cuts down computation by more than one order of magnitude and/or allows to get better loss estimates. |
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Added by: | [UNK] |
Total mark: | 0 |
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