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Research on Support Vector Machine Solving Large-scale Data Set
Author: JiXiuHao
Tutor: ZhangZuoGang
School: Liaoning Technical University
Course: Applied Mathematics
Keywords: SVM Rough Set RS-SVDD Attribute Reduction SVDD
CLC: TP18
Type: Master's thesis
Year: 2011
Downloads: 47
Quote: 0
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Abstract
Support Vector Machines (SVMs) algorithms based on the foundations of Statistical Learning Theory study on the classification and prediction for small sample data. Based on complete mathematical theory SVMs bring on a good generalization performance by using of the structure risk minimization principle.So it become a hotspot in machine learning and artifical intelligence. But there are several shortcomings, such as the selection of modle, the classification of multi-class and the training of lagre scale samples.In this thesis, we analyzed the theory of the svm algorithms, and described the process of iterative and training for different SVM algorithm models. In order to implement the better ability of classification and regression for lager scale data, the improvement methods are proposed about the sample data reduction, knowledge extraction and algorithm training. The simulation results show that these methods can effectively solve the problem of large-scale sample data set.The main research in this paper can be classed as follows:Firstly, the thesis systematically analyzed the basic theory of support vector machines and the mathematical models, described the process of transforming the training problem to a convex quadratic programming with constraints problem, summarized the SVM generalization performance, and compared some of the popular fast training algorithms in detail.Secondly, the strategies of attribution reduction and knowledge rules extraction based on rough set are studied in detail. The different algorithms of rough set are summarized. The least squares support vector machine algorithm model based on rough set is proposed. The performance of the algorithm is good proved from the classification and regression. Based on the sample data set collected from MATLAB 802.11a, the models of the channel classification and parameter regression can be established with least squares support vector machine. The channel selection and parameters configuration are determined by the models. The effectiveness of the algorithm can be proved by the several simulation experiments.Thirdly, Support Vector Data Description (SVDD) algorithm is studied deeply. In order to reduce the computational cost, the algorithm of Support Vector Data Description based on Rough Set (RS-SVDD) is proposed. The large-scale sample data would be reduced by rough sets and SVDD algorithms, and the classification model can be established. In the aspect of classification accuracy and the training speed, RS-SVDD algorithm is better than SVDD by evaluating the simulation results.
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