N-way Toolbox swMATH ID: 12996 Software Authors: Andersson, C. A.; Bro, R. Description: The N-way toolbox for MATLAB. The N-way toolbox provides means for: Fitting multi-way PARAFAC models; Fitting multi-way PLS regression models; Fitting multi-way Tucker models; Fitting the generalized rank annihilation method; Fitting the direct trilinear decomposition; Fitting models subject to constraints on the parameters such as e.g. nonnegativity, unimodality, orthogonality; Fitting models with missing values (using expectation maximization); Fitting models with a weighted least squares loss function (including MILES); Predicting scores for new samples using a given model; Predicting the dependent variable(s) of PLS models; Performing multi-way scaling and centering; Performing cross-validation of models; Calculating core consistency of PARAFAC models; Using additional diagnostic tools to evaluate the appropriate number of components; Perform rotations of core and models in Tucker models; Plus additional utility functions. In addition to the N-way toolbox, you can find a number of other multi-way tools on this site including PARAFAC2, Slicing (for exponential data such as low-res NMR), GEMANOVA for generalized multiplicative ANOVA, MILES for maximum likelihood fitting, conload for congruence and correlation loadings, eemscat for scatter handling of EEM data, clustering for multi-way clustering, CuBatch for batch data analysis, indafac for PARAFAC, PARALIND for constrained PARAFAC models, jackknifing for PARAFAC. Homepage: http://www.models.life.ku.dk/nwaytoolbox Dependencies: Matlab Related Software: TensorToolbox; Matlab; Algorithm 862; Multilinear Engine; Python; PARAFAC; Silhouettes; Tensorlab; DFacTo; SPLATT; GigaTensor; LOBPCG; cross2D; TensorCalculus; TT Toolbox; htucker; ALPS; PLS_Toolbox; pandas; Scikit Cited in: 29 Publications all top 5 Cited by 71 Authors 3 Bader, Brett W. 3 Kolda, Tamara Gibson 2 Alexandrov, Boian S. 2 Kaya, Oguz 2 Kressner, Daniel 2 Tobler, Christine 2 Vesselinov, Velimir V. 1 Arnfred, Sidse M. 1 Bernstein, Dennis S. 1 Bro, Rasmus 1 Candan, K. Selçuk 1 Comon, Pierre 1 Dreesen, Philippe 1 Feng, Jianshuai 1 Filipović, Marko 1 Gettler-Summa, Mireille 1 Gjuvsland, Arne B. 1 Grasedyck, Lars 1 Hackbusch, Wolfgang 1 Hannachi, Abdel 1 Hansen, Lars Kai 1 Harshman, Richard A. 1 Huang, Zheng-Hai 1 Huerta, Antonio 1 Ishteva, Mariya 1 Jolliffe, Ian T. 1 Jukić, Ante 1 Karra, Satish 1 Kim, Mijung 1 Kohler, Achim 1 Kunz, Werner 1 Lacy, Seth L. 1 Liu, Ji 1 Liu, Jun 1 Liu, Li 1 Marino, Marina 1 Martens, Harald 1 Martínez-Montes, Eduardo 1 Modesto, David 1 Moravitz Martin, Carla D. 1 Mørup, Morten 1 Mudunuru, Maruti Kumar 1 O’Malley, Daniel 1 Omholt, Stig W. 1 Palumbo, Francesco 1 Plahte, Erik 1 Rajih, Myriam 1 Rasmussen, Kim Ø. 1 Robert, Yves 1 Sánchez-Bornot, José M. 1 Skillicorn, David B. 1 Stanev, Valentin G. 1 Tafintseva, Valeriya 1 Tan, Huachun 1 Tomasi, Giorgio 1 Tøndel, Kristin 1 Tortora, Cristina 1 Trendafilov, Nickolay T. 1 Uçar, Bora 1 Unkel, Steffen 1 Usevich, Konstantin 1 Valdés-Sosa, Pedro A. 1 Van Loan, Charles Francis 1 Vik, Jon Olav 1 Wang, Wuhong 1 Wonka, Peter 1 Yang, Lei 1 Ye, Jieping 1 Zander, Elmar K. 1 Zhang, Min 1 Zlotnik, Sergio all top 5 Cited in 25 Serials 2 ACM Transactions on Mathematical Software 2 SIAM Journal on Matrix Analysis and Applications 2 SIAM Journal on Scientific Computing 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Algorithmica 1 Multidimensional Systems and Signal Processing 1 Neural Computation 1 Computational Statistics 1 Pattern Recognition 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Statistica Sinica 1 Data Mining and Knowledge Discovery 1 Discrete Dynamics in Nature and Society 1 Acta Numerica 1 GAMM-Mitteilungen 1 Advances in Data Analysis and Classification. ADAC 1 Statistical Analysis and Data Mining 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Berichte aus der Mathematik 1 Chapman & Hall/CRC Data Mining and Knowledge Discovery Series all top 5 Cited in 15 Fields 14 Numerical analysis (65-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Statistics (62-XX) 7 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year