BMF: Block matrix approach to factorization of large scale data

作者: Vineet C Nair , Prasad G Bhavana

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摘要: Matrix Factorization (MF) on large scale matrices is computationally as well memory intensive task. Alternative convergence techniques are needed when the size of input matrix higher than available a Central Processing Unit (CPU) and Graphical (GPU). While alternating least squares (ALS) CPU could take forever, loading all required to GPU may not be possible dimensions significantly higher. Hence we introduce novel technique that based considering entire data into block relies factorization at level.

参考文章(12)
Volodymyr Kysenko, Karl Rupp, Oleksandr Marchenko, Siegfried Selberherr, Anatoly Anisimov, GPU-Accelerated non-negative matrix factorization for text mining applications of natural language to data bases. pp. 158- 163 ,(2012) , 10.1007/978-3-642-31178-9_15
Robert L. Ellis, Israel Gohberg, David Lay, Factorization of block matrices Linear Algebra and its Applications. ,vol. 69, pp. 71- 93 ,(1985) , 10.1016/0024-3795(85)90069-2
Yehuda Koren, Robert Bell, Chris Volinsky, Matrix Factorization Techniques for Recommender Systems IEEE Computer. ,vol. 42, pp. 30- 37 ,(2009) , 10.1109/MC.2009.263
O. Axelsson, A general incomplete block-matrix factorization method Linear Algebra and its Applications. ,vol. 74, pp. 179- 190 ,(1986) , 10.1016/0024-3795(86)90121-7
Tommi S. Jaakkola, Nathan Srebro, Jason Rennie, Maximum-Margin Matrix Factorization neural information processing systems. ,vol. 17, pp. 1329- 1336 ,(2004)
Yongfeng Zhang, Min Zhang, Yiqun Liu, Shaoping Ma, Shi Feng, Localized matrix factorization for recommendation based on matrix block diagonal forms Proceedings of the 22nd international conference on World Wide Web - WWW '13. pp. 1511- 1520 ,(2013) , 10.1145/2488388.2488520
H. Sebastian Seung, Daniel D. Lee, Algorithms for Non-negative Matrix Factorization neural information processing systems. ,vol. 13, pp. 556- 562 ,(2000)
Andriy Mnih, Ruslan R Salakhutdinov, Probabilistic Matrix Factorization neural information processing systems. ,vol. 20, pp. 1257- 1264 ,(2007)
Wei Tan, Shiyu Chang, Liana Fong, Cheng Li, Zijun Wang, LiangLiang Cao, Matrix Factorization on GPUs with Memory Optimization and Approximate Computing international conference on parallel processing. ,(2018) , 10.1145/3225058.3225096