Abstract
Many ideas of High Performance Computing are applicable to Big Data problems. The more so now, that hybrid, GPU computing gains traction in mainstream computing applications. This work discusses the differences between the High Performance Computing software stack and the Big Data software stack and then focuses on two popular computing workloads, the Alternating Least Squares algorithm and the Singular Value Decomposition, and shows how their performance can be maximized using hybrid computing techniques.
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Apache, Mahout version 0.9 (2015a). https://mahout.apache.org/
Apache, Spark version 1.5 (2015b). http://spark.apache.org/
J. Baglama, L. Reichel, Augmented implicitly restarted Lanczos bidiagonalization methods. SIAM J. Sci. Comput. 27, 19–42 (2005)
J. Bennett, S. Lanning, The netflix prize, in Proceedings of the KDD Cup Workshop 2007 (ACM, New York, 2007), pp 3–6. http://www.cs.uic.edu/~liub/KDD-cup-2007/NetflixPrize-description.pdf
M.W. Berry, Large scale sparse singular value computations. Int. J. Supercomput. Appl. 6, 13–49 (1992)
T. Bertin-Mahieux, D.P. Ellis, B. Whitman, P. Lamere, The million song dataset, in Proceedings of the 12th International Conference on Music Information Retrieval (ISMIR) (2011)
C. Bishop, Pattern Recognition and Machine Learning (Springer, New York, 2006)
P. Biswas, T.C. Lian, T.C. Wang, Y. Ye, Semidefinite programming based algorithms for sensor network localization. ACM Trans. Sensor Networks (TOSN) 2(2), 188–220 (2006)
E.J. Candès, B. Recht, Exact matrix completion via convex optimization. Found. Comput. Math. 9(6), 717–772 (2009)
P. Chen, D. Suter, Recovering the missing components in a large noisy low-rank matrix: application to SFM. IEEE Trans. Pattern Anal. Mach. Intell. 26(8), 1051–1063 (2004)
Committee on the Analysis of Massive Data, Committee on Applied and Theoretical Statistics, Board on Mathematical Sciences and Their Applications, Division on Engineering and Physical Sciences, National Research Council (2013). Frontiers in Massive Data Analysis. The National Academies Press
Dato, GraphLab version 1.3 (2015). https://dato.com/products/create/open_source.html
S. Deerwester, S. Dumais, G. Furnas, T. Landauer, R. Harshman, Indexing by latent semantic analysis. J. Am. Soc. Inf. Sci. 41, 391–407 (1990)
DOE Office of Science, Synergistic challenges in data-intensive science and exascale computing. DOE Advanced Scientific Computing Advisory Committee (ASCAC) (2013). Data Subcommittee Report
S.H. Fuller, L.I. Millett, The Future of Computing Performance: Game Over Or Next Level? (National Academy Press, Washington, DC, 2011)
M. Gates, H. Anzt, J. Kurzak, J. Dongarra, Accelerating collaborative filtering using concepts from high performance computing, in 2015 IEEE International Conference on Big Data (Big Data) (IEEE, 2015), pp. 667–676
D. Goldberg, D. Nichols, B.M. Oki, D. Terry, Using collaborative filtering to weave an information tapestry. Commun. ACM 35(12), 61–70 (1992)
G. Golub, C. van Loan, Matrix Computations, 4th edn. (The Johns Hopkins University Press, Baltimore, 2012)
G. Golub, F. Luk, M. Overton, A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. ACM Trans. Math. Softw. 7, 149–169 (1981)
S. Graham, M. Snir, C. Patterson, Getting Up to Speed: The Future of Supercomputing (The National Academies Press, Washington, DC, 2004)
N. Halko, P. Martinsson, J. Tropp, Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions. SIAM Rev. 53(2), 217–288 (2011)
M. Hoemmen, Communication-avoiding Krylov subspace methods. Ph.D. thesis, University of California, Berkeley (2010)
Y. Hu, Y. Koren, C. Volinsky, Collaborative filtering for implicit feedback datasets, in IEEE International Conference on Data Mining (ICDM) (2008), pp. 263–272
Innovative Computing Lab, BEAST (2015). http://icl.utk.edu/beast/
Intel Corp, Developer Reference for Intel Math Kernel Library (2015). https://software.intel.com/en-us/articles/mkl-reference-manual
Intel Corp, Intel Data Analytics Acceleration Library 2016, Developer Guide (2016)
P. Jain, P. Netrapalli, S. Sanghavi, Low-rank matrix completion using alternating minimization, in Proceedings of the Forty-Fifth annual ACM Symposium on Theory of Computing (ACM, 2013), pp 665–674
I. Karasalo, Estimating the covariance matrix by signal subspace averaging. IEEE Trans. Acoust. Speech Signal Process. 34(1), 8–12 (1986)
T. Kolda, D. O’Leary, A semidiscrete matrix decomposition for latent semantic indexing information retrieval. ACM Trans. Inf. Syst. 16(4), 322–346 (1998)
Y. Koren, Factorization meets the neighborhood: a multifaceted collaborative filtering model, in Proceedings of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD’08 (ACM, New York, 2008), pp. 426–434
R. Krovetz, W.B. Croft, Lexical ambiguity and information retrieval. ACM Trans. Inf. Syst. 10(2), 115–141 (1992)
J. Kurzak, S. Tomov, J. Dongarra, Autotuning gemm kernels for the Fermi GPU. IEEE Trans. Parallel Distrib. Syst. 23(11), 2045–2057 (2012)
J. Kurzak, H. Anzt, M. Gates, J. Dongarra, Implementation and tuning of batched Cholesky factorization and solve for NVIDIA GPUs. Trans. Parallel Distrib. Syst. (2015). doi:10.1109/TPDS.2015.2481890
C. Lam, Hadoop in Action (Manning Publications Co., Stamford, 2010)
D. Laney, 3D data management: controlling data volume, velocity, and variety. Application Delivery Strategies by META Group Inc., File: 949 (2001)
E. Liberty, F. Woolfe, P.G. Martinsson, V. Rokhlin, M. Tygert, Randomized algorithms for the low-rank approximation of matrices. Proc. National Acad. Sci. 104(51), 20167–20172 (2007)
Y. Low, J. Gonzalez, A. Kyrola, D. Bickson, C. Guestrin, j.M. Hellerstein, GraphLab: a new framework for parallel machine learning. CoRR abs/1006.4990 (2010). http://arxiv.org/abs/1006.4990
Y. Low, D. Bickson, J. Gonzalez, C. Guestrin, A. Kyrola, J.M. Hellerstein, Distributed GraphLab: a framework for machine learning and data mining in the cloud. Proc. VLDB Endow. 5(8), 716–727 (2012)
P. Luszczek, M. Gates, J. Kurzak, A. Danalis, J. Dongarra, Search space generation and pruning system for autotuners, in International Workshop on Automatic Performance Tuning (iWAPT 2016) (2016, submitted)
D. Lyubimov, Command line interface, stochastic SVD. Technical report, The Apache Software Foundation (2014). https://mahout.apache.org/users/dim-reduction/ssvd.page/SSVD-CLI.pdf
M.W. Mahoney, Randomized algorithms for matrices and data. Found. Trends\(\textregistered \) Mach. Learn. 3(2), 123–224 (2011)
P.G. Martinsson, V. Rockhlin, M. Tygert, A randomized algorithm for the approximation of matrices. Technical report, DTIC Document (2006)
P. McJones, Eachmovie collaborative filtering data set. DEC Systems Research Center 249 (1997)
X. Meng, J. Bradley, B. Yavuz, E. Sparks, S. Venkataraman, D. Liu, J. Freeman, D. Tsai, M. Amde, S. Owen et al., MLlib: Machine learning in Apache Spark (2015). arXiv preprint arXiv:150506807
P. Menozzi, A. Piazza, L. C-Sforza, Synthetic maps of human gene frequencies in Europeans. Science 201, 786–792 (1978)
NVIDIA Corp, cuBLAS Library User Guide, v7.0 (2015a)
NVIDIA Corp, CUDA C Programming Guide, v7.0 (2015b)
S. Owen, R. Anil, T. Dunning, E. Friedman, Mahout in Action (Manning Publications Co., Greenwich, 2011)
P. Paschou, E. Ziv, E. Burchard, S. Choudhry, W. R-Cintron, M. Mahoney, P. Drineas, PCA-correlated SNPs for structure identification in worldwide human populations. PLoS Genet. 3, 1672–1686 (2007)
A. Paterek, Improving regularized singular value decomposition for collaborative filtering, in Proceedings of KDD Cup and Workshop (2007), pp. 39–42
N. Patterson, A. Price, D. Reich, Population structure and eigenanalysis. PLoS Genet. 2(12), 2074–2093 (2006)
A. Price, N. Patterson, R. Plenge, M. Weinblatt, N. Shadick, D. Reich, Principal components analysis corrects for stratification in genome-wide association studies. Nature Genet. 38(8), 904–909 (2006)
R.A. Rossi, N.K. Ahmed, The network data repository with interactive graph analytics and visualization, in Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence (2015). http://networkrepository.com
G. Salton, M. McGill, Introduction to Modern Information Retrieval (McGraw-Hill, New York, 1983)
B. Sarwar, G. Karypis, J. Konstan, J. Riedl, Analysis of recommendation algorithms for e-commerce, in Proceedings of the 2nd ACM Conference on Electronic Commerce (2000), pp 158–167
A. Stathopoulos, K. Wu, A block orthogonalization procedure with constant synchronization requirements. SIAM J. Sci. Comput. 23(6), 2165–2182 (2002)
W. Tan, L. Cao, L.L. Fong, Faster and cheaper: Parallelizing large-scale matrix factorization on gpus. CoRR abs/1603.03820 (2016). http://arxiv.org/abs/1603.03820
J. Tougas, R. Spiteri, Updating the partial singular value decomposition in latent semantic indexing. Comput. Statist. Data Anal. 52, 174–183 (2007)
E. Vecharynski, Y. Saad, Fast updating algorithms for latent semantic indexing. SIAM J. Matrix Anal. Appl. 35(3), 1105–1131 (2014)
T. White, Hadoop: The Definitive Guide (O’Reilly Media, Inc., Sebastopol, 2012)
K. Wu, H. Simon, Thick-restart Lanczos method for large symmetric eigenvalue problems. SIAM J. Matrix Anal. Appl. 22(2), 602–616 (2000)
I. Yamazaki, K. Wu, A communication-avoiding thick-restart lanczos method on a distributed-memory system, in Proceedings of the 2011 International Conference on Parallel Processing, Euro-Par’11 (Springer, Berlin, 2012), pp. 345–354
I. Yamazaki, H. Anzt, S. Tomov, M. Hoemmen, J. Dongarra Improving the performance of CA-GMRES on multicores with multiple GPUs, in Proceedings of the IEEE International Parallel and Distributed Symposium (IPDPS) (2014a), pp. 382–391
I. Yamazaki, T. Mary, J. Kurzak, S. Tomov, Access-averse framework for computing low-rank matrix approximations, in Proceedings of the International Workshop on High Performance Big Graph Data Management, Analysis, and Minig (2014b), pp. 70–77
I. Yamazaki, S. Rajamanickam, E. Boman, M. Hoemmen, M. Heroux, S. Tomov, Domain decomposition preconditioners for communication-avoiding Krylov methods on a hybrid CPU/GPU cluster, in Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC) (2014c), pp. 933–944
I. Yamazaki, J. Kurzak, P. Luszczek, J. Dongarra, Randomized algorithms to update partial singular value decomposition on a hybrid CPU/GPU cluster, in Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC) (2015), pp. 345–354
M. Zaharia, M. Chowdhury, M.J. Franklin, S. Shenker, I. Stoica, Spark: cluster computing with working sets, in Proceedings of the 2nd USENIX Conference on Hot Topics in Cloud Computing, vol. 10 (2010), p.10
H. Zha, H. Simon, On updating problems in latent semantic indexing. SIAM J. Sci. Comput. 21(2), 782–791 (1999)
H. Zha, O. Marques, H. Simon, Large-scale SVD and subspace-based methods for information retrieval, in Solving Irregularly Structured Problems in Parallel, vol. 1457, Lecture Notes in Computer Science, ed. by A. Ferreira, J. Rolim, H. Simon, S.-H. Teng (Springer, Heidelberg, 1998), pp. 29–42
Y. Zhou, D. Wilkinson, R. Schreiber, R. Pan, Large-scale parallel collaborative filtering for the netflix prize in Proceedings of the 4th International Conference on Algorithmic Aspects in Information and Management, AAIM’08 (Springer, Berlin, 2008), pp. 337–348
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Anzt, H. et al. (2017). Bringing High Performance Computing to Big Data Algorithms. In: Zomaya, A., Sakr, S. (eds) Handbook of Big Data Technologies. Springer, Cham. https://doi.org/10.1007/978-3-319-49340-4_23
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