Semi-Supervised Minimum Error Entropy Principle with Distributed Method

The minimum error entropy principle (MEE) is an alternative of the classical least squares for its robustness to non-Gaussian noise. This paper studies the gradient descent algorithm for MEE with a semi-supervised approach and distributed method, and shows that using the additional information of un...

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Bibliographic Details
Main Authors: Baobin Wang, Ting Hu
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/20/12/968
Description
Summary:The minimum error entropy principle (MEE) is an alternative of the classical least squares for its robustness to non-Gaussian noise. This paper studies the gradient descent algorithm for MEE with a semi-supervised approach and distributed method, and shows that using the additional information of unlabeled data can enhance the learning ability of the distributed MEE algorithm. Our result proves that the mean squared error of the distributed gradient descent MEE algorithm can be minimax optimal for regression if the number of local machines increases polynomially as the total datasize.
ISSN:1099-4300