基于gpu的矩阵分解的高效并行随机梯度下降算法

Tianyu Xing, Bin Wu, Bai Wang
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摘要

矩阵分解(Matrix factorization, MF)是一种用于推荐系统、数据库系统、词嵌入、图挖掘等领域的重要方法。随机梯度下降法(SGD)由于在处理大数据集时具有有效的精度和较高的计算速度,是一种被广泛应用的求解MF问题的方法。SGD算法是一种顺序算法,很难并行化,但也有研究提出了一些有效的并行化方法。在本研究中,我们提出了一种有效的基于gpu的大规模推荐系统方法EMF-SGD。EMF-SGD通过利用GPU共享内存和warp操作来加速SGD算法。此外,我们在预处理数据时注重维护用户与项目之间的关系,以获得更高的准确性。最后,我们在多gpu上并行化EMF-SGD,并根据我们使用的gpu数量的不同,证明了它比最先进的GPU-MF-SGD算法提高了1.8-4.3倍的速度和更高的精度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An Efficient Parallel Stochastic Gradient Descent for Matrix Factorization On GPUS
Matrix factorization (MF) is an essential method used in recommender systems, database systems, word-embedding, Graph-mining, and others. Stochastic gradient descent (SGD) is a widely-used method of solving the MF problem because it has effective accuracy in dealing with large datasets and high computing speed. SGD is hard to be parallelized as it is a sequential algorithm, but there are also some effective parallel methods proposed by researches. In this research, we propose EMF-SGD, an effective GPU-based method of large-scale recommender systems. EMF-SGD accelerated the SGD algorithm by utilizing the GPU shared-memory and warp operations. Besides, we focus on maintaining the relationship between users and items in preprocessing data to gain higher accuracy. Finally, we parallelize the EMF-SGD on multi-GPUS and proved it gains 1.8-4.3x speed up and higher accuracy over the most state-of arts algorithm GPU-MF-SGD, based on the different amount of GPUS we used.
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