Subfield · Computational Mathematics
Most cited papers in Computational Mathematics
What are the most cited papers in Computational Mathematics?
The most cited paper in Computational Mathematics is "Tensor Decompositions and Applications" (Tamara G. Kolda, Brett W. Bader, 2009), with 10,717 citations. Next come "Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions" (4,178) and "Generalized Procrustes Analysis" (3,317).
Showing 50 of 99 papers. Every paper with more than 450 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Tensor Decompositions and Applications Tamara G. Kolda, Brett W. Bader · SIAM Review | 5 Aug 2009 | 10,717 |
| 2 | Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions Nathan Halko, Per‐Gunnar Martinsson, Joel A. Tropp · SIAM Review | 2011 | 4,178 |
| 3 | Generalized Procrustes Analysis J. C. Gower · Psychometrika | Mar 1975 | 3,317 |
| 4 | Matrix multiplication via arithmetic progressions Don Coppersmith, Shmuel Winograd · Journal of Symbolic Computation | Mar 1990 | 2,313 |
| 5 | On the distribution of the largest eigenvalue in principal components analysis Iain M. Johnstone · The Annals of Statistics | Apr 2001 | 2,059 |
| 6 | The characteristics of subject matter in different academic areas. Anthony Biglan · Journal of Applied Psychology | Jun 1973 | 1,787 |
| 7 | A flexible R package for nonnegative matrix factorization Renaud Gaujoux, Cathal Seoighe · BMC Bioinformatics | 2 Jul 2010 | 1,700 |
| 8 | Tensor Decomposition for Signal Processing and Machine Learning Nicholas D. Sidiropoulos, Lieven De Lathauwer, Xiao Fu et al. · IEEE Transactions on Signal Processing | 3 Apr 2017 | 1,666 |
| 9 | A Three-Way Model for Collective Learning on Multi-Relational Data Maximilian Nickel, Volker Tresp, Hans‐Peter Kriegel | 28 Jun 2011 | 1,648 |
| 10 | A Riemannian Framework for Tensor Computing Xavier Pennec, Pierre Fillard, Nicholas Ayache · International Journal of Computer Vision | 22 Dec 2005 | 1,592 |
| 11 | Eigenvalues of a real supersymmetric tensor Liqun Qi · Journal of Symbolic Computation | 20 Jun 2005 | 1,534 |
| 12 | MRtrix: Diffusion tractography in crossing fiber regions J‐Donald Tournier, Fernando Calamante, Alan Connelly · International Journal of Imaging Systems and Technology | 14 Feb 2012 | 1,501 |
| 13 | Tensor Decompositions for Signal Processing Applications: From two-way to multiway component analysis Andrzej S Cichocki, Danilo P. Mandic, Lieven De Lathauwer et al. · IEEE Signal Processing Magazine | 10 Feb 2015 | 1,417 |
| 14 | Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis Aaron Towne, Oliver T. Schmidt, Tim Colonius · Journal of Fluid Mechanics | 29 May 2018 | 1,406 |
| 15 | Factorization strategies for third-order tensors Misha E. Kilmer, Carla D. Moravitz Martin · Linear Algebra and its Applications | 26 Oct 2010 | 1,386 |
| 16 | A Unified Convergence Analysis of Block Successive Minimization Methods for Nonsmooth Optimization Meisam Razaviyayn, Mingyi Hong, Zhi-Quan Luo · SIAM Journal on Optimization | 2013 | 1,374 |
| 17 | A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion Yangyang Xu, Wotao Yin · SIAM Journal on Imaging Sciences | 2013 | 1,229 |
| 18 | STATISTICAL ANALYSIS OF SETS OF CONGENERIC TESTS* Karl G. Jöreskog · ETS Research Bulletin Series | Dec 1969 | 1,208 |
| 19 | Braided Tensor Categories André Joyal, Ross Street · Advances in Mathematics | Nov 1993 | 1,176 |
| 20 | Most Tensor Problems Are NP-Hard Christopher J. Hillar, Lek‐Heng Lim · Journal of the ACM | Nov 2013 | 1,165 |
| 21 | Log‐Euclidean metrics for fast and simple calculus on diffusion tensors Vincent Arsigny, Pierre Fillard, Xavier Pennec et al. · Magnetic Resonance in Medicine | 20 Jun 2006 | 1,115 |
| 22 | The ITensor Software Library for Tensor Network Calculations Matthew Fishman, Steven R. White, Edwin Miles Stoudenmire · SciPost Physics Codebases | 23 Aug 2022 | 1,053 |
| 23 | Fixed point and Bregman iterative methods for matrix rank minimization Shiqian Ma, Donald Goldfarb, Lifeng Chen · Mathematical Programming | 22 Sep 2009 | 1,045 |
| 24 | Model Compression and Hardware Acceleration for Neural Networks: A Comprehensive Survey Lei Deng, Guoqi Li, Song Han et al. · Proceedings of the IEEE | 20 Mar 2020 | 979 |
| 25 | Nonmetric Individual Differences Multidimensional Scaling: An Alternating Least Squares Method with Optimal Scaling Features Yoshio Takane, Forrest Wade Young, Jan de Leeuw · Psychometrika | Mar 1977 | 958 |
| 26 | Multiplying matrices faster than coppersmith-winograd Virginia Vassilevska Williams | 19 May 2012 | 891 |
| 27 | hypre: A Library of High Performance Preconditioners Robert D. Falgout, Ulrike Meier Yang · Lecture notes in computer science | 2002 | 885 |
| 28 | Powers of tensors and fast matrix multiplication François Le Gall | Jul 2014 | 882 |
| 29 | Relationships between subject matter characteristics and the structure and output of university departments. Anthony Biglan · Journal of Applied Psychology | Jun 1973 | 879 |
| 30 | Solving Systems of Polynomial Equations Bernd Sturmfels · Regional conference series in mathematics | 12 Sep 2002 | 856 |
| 31 | Multilinear Analysis of Image Ensembles: TensorFaces M. Alex O. Vasilescu, Demetri Terzopoulos · Lecture notes in computer science | 2002 | 853 |
| 32 | A Supernodal Approach to Sparse Partial Pivoting James Weldon Demmel, Stanley C. Eisenstat, John R. Gilbert et al. · SIAM Journal on Matrix Analysis and Applications | 1999 | 848 |
| 33 | Point of view in personal memories Georgia N. Nigro, Ulric Neisser · Cognitive Psychology | Oct 1983 | 837 |
| 34 | The Multilinear Engine—A Table-Driven, Least Squares Program for Solving Multilinear Problems, Including the n -Way Parallel Factor Analysis Model Pentti Paatero · Journal of Computational and Graphical Statistics | Dec 1999 | 826 |
| 35 | Processing and visualization for diffusion tensor MRI C.-F. Westin, Stephan E. Maier, Hatsuho Mamata et al. · Medical Image Analysis | Jun 2002 | 818 |
| 36 | CUR matrix decompositions for improved data analysis Michael W. Mahoney, Petros Drineas · Proceedings of the National Academy of Sciences | 12 Jan 2009 | 812 |
| 37 | Tensor decompositions for learning latent variable models Animashree Anandkumar, Rong Ge, Daniel Hsu et al. | 2014 | 810 |
| 38 | Issues and Advances in Segmentation Research Yoram Jerry Wind · Journal of Marketing Research | Aug 1978 | 803 |
| 39 | Novel Methods for Multilinear Data Completion and De-noising Based on Tensor-SVD Zemin Zhang, Gregory Ely, Shuchin Aeron et al. | Jun 2014 | 799 |
| 40 | Singular Values and Eigenvalues of Tensors: A Variational Approach Lek‐Heng Lim | 18 Jan 2006 | 798 |
| 41 | The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A Monte Carlo study† Derek Kenton Jones · Magnetic Resonance in Medicine | 26 Mar 2004 | 795 |
| 42 | Multidimensional Scaling, Tree-Fitting, and Clustering Roger N. Shepard · Science | 24 Oct 1980 | 756 |
| 43 | Multiverse recommendation Alexandros Karatzoglou, Xavier Amatriain, Linas Baltrunas et al. | 26 Sep 2010 | 740 |
| 44 | Towards a standardized notation and terminology in multiway analysis Henk A. L. Kiers · Journal of Chemometrics | 2000 | 725 |
| 45 | Structured Pruning of Deep Convolutional Neural Networks Sajid Anwar, Kyuyeon Hwang, Wonyong Sung · ACM Journal on Emerging Technologies in Computing Systems | 9 Feb 2017 | 723 |
| 46 | SVD based initialization: A head start for nonnegative matrix factorization Christos Boutsidis, Efstratios Gallopoulos · Pattern Recognition | 31 Oct 2007 | 723 |
| 47 | A Simpler Approach to Matrix Completion Benjamin Recht · arXiv (Cornell University) | 5 Oct 2009 | 719 |
| 48 | Deterministic and Probabilistic Tractography Based on Complex Fibre Orientation Distributions Maxime Descoteaux, Rachid Deriche, Thomas R. Knösche et al. · IEEE Transactions on Medical Imaging | 19 Aug 2008 | 709 |
| 49 | On the Relationship between iTem Response Theory and Factor Analysis of Discretized Variables Yoshio Takane, Jan de Leeuw · Psychometrika | Sep 1987 | 701 |
| 50 | Weighted low-rank approximations Nathan Srebro, Tommi Jaakkola · International Conference on Machine Learning | 21 Aug 2003 | 699 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.