Title
Efficient SVM Training Using Parallel Primal-Dual Interior Point Method on GPU
Abstract
The training of SVM can be viewed as a Convex Quadratic Programming (CQP) problem which becomes difficult to be solved when dealing with the large scale data sets. Traditional methods such as Sequential Minimal Optimization (SMO) for SVM training is used to solve a sequence of small scale sub-problems, which costs a large amount of computation time and is hard to be accelerated by utilizing the computation power of GPU. Although Interior Point Method (IPM) such as primal-dual interior point method (PDIPM) can be also addressed SVM training well and has favourable potential for parallelizing on GPU, it contains comparatively high time complexity O(l^3) and space complexity O(l^2), where l is the number of training instances. Fortunately, by invoking low-rank approximation methods such as Incomplete Cholesky Factorization (ICF) and Sherman Morrison Woodbury formula (SMW), the requirements of both storage and computation of PDIPM can be reduced significantly. In this paper, a parallel PDIPM method (P-PDIPM) along with a parallel ICF method (P-ICF) is proposed to accelerate the SVM training on GPU. Experimental results indicate that the training speed of P-PDIPM on GPU is almost 40x faster than that of the serial one (S-PDIPM) on CPU. Besides, without extensive optimization, P-PDIPM can obtain about 8x speedup over the state of the art tool LIBSVM while maintaining high prediction accuracy.
Year
DOI
Venue
2013
10.1109/PDCAT.2013.9
PDCAT
Keywords
Field
DocType
svm training,gpu,graphic processing unit,incomplete cholesky factorization,learning (artificial intelligence),graphics processing units,support vector machines,p-icf,primal-dual interior point method,parallel primal-dual interior point method,matrix decomposition,sherman morrison woodbury formula,parallel computing,libsvm tool,p-pdipm,parallel icf method
Incomplete Cholesky factorization,CUDA,Computer science,Parallel computing,Support vector machine,Woodbury matrix identity,Sequential minimal optimization,Time complexity,Interior point method,Speedup
Conference
ISBN
Citations 
PageRank 
978-1-4799-2418-9
1
0.34
References 
Authors
8
3
Name
Order
Citations
PageRank
Jing Jin153637.35
Xianggao Cai2122.90
Xiaola Lin3109978.09