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An incremental least squares algorithm for large scale linear classification

delete2013-02-01
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PRE
AI
A
Andrea Cassioli *
A
A. Chiavaioli
C
Costanzo Manes
M
Marco Sciandrone
DOI:10.1016/j.ejor.2012.09.004delete
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Abstract

Abstract

En 中文
In this work we consider the problem of training a linear classifier by assuming that the number of data is huge (in particular, data may be larger than the memory capacity). We propose to adopt a linear least-squares formulation of the problem and an incremental recursive algorithm which requires to store a square matrix (whose dimension is equal to the number of features of the data). The algorithm (very simple to implement) converges to the solution using each training data once, so that it effectively handles possible memory issues and is a viable method for linear large scale classification and for real time applications, provided that the number of features of the data is not too large (say of the order of thousands). The extensive computational experiments show that the proposed algorithm is at least competitive with the state-of-the-art algorithms for large scale linear classification. (c) 2012 Elsevier B.V. All rights reserved.
Keywords:
Large scale optimization
Machine learning
Linear classification
Incremental algorithms

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

Organization

University of LAquila cover
University of LAquila
Scholars:
7.4K
Papers: 6.6K
Citations: 6.7K
U
university of florence
Scholars:
4.2W
Papers: 3.1W
Citations: 42