CUED Publications database

Generalization and robustness of batched weighted average algorithm with V-geometrically ergodic Markov data

Cuong, NV and Ho, LST and Dinh, V (2013) Generalization and robustness of batched weighted average algorithm with V-geometrically ergodic Markov data. In: UNSPECIFIED pp. 264-278..

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Abstract

We analyze the generalization and robustness of the batched weighted average algorithm for V-geometrically ergodic Markov data. This algorithm is a good alternative to the empirical risk minimization algorithm when the latter suffers from overfitting or when optimizing the empirical risk is hard. For the generalization of the algorithm, we prove a PAC-style bound on the training sample size for the expected L 1 -loss to converge to the optimal loss when training data are V-geometrically ergodic Markov chains. For the robustness, we show that if the training target variable's values contain bounded noise, then the generalization bound of the algorithm deviates at most by the range of the noise. Our results can be applied to the regression problem, the classification problem, and the case where there exists an unknown deterministic target hypothesis. © 2013 Springer-Verlag.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Computational and Biological Learning
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:37
Last Modified: 08 Aug 2017 01:52
DOI: