PMA swMATH ID: 19126 Software Authors: Daniela Witten, Rob Tibshirani, Sam Gross, Balasubramanian Narasimhan Description: R package PMA: Penalized Multivariate Analysis. Performs Penalized Multivariate Analysis: a penalized matrix decomposition, sparse principal components analysis, and sparse canonical correlation analysis, described in the following papers: (1) Witten, Tibshirani and Hastie (2009) A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis. Biostatistics 10(3):515-534. (2) Witten and Tibshirani (2009) Extensions of sparse canonical correlation analysis, with applications to genomic data. Statistical Applications in Genetics and Molecular Biology 8(1): Article 28. Homepage: https://cran.r-project.org/web/packages/PMA/index.html Source Code: https://github.com/cran/PMA Dependencies: R Related Software: R; glasso; ElemStatLearn; glmnet; GitHub; YALMIP; SDPT3; mixOmics; JIVE; robustbase; CCA; fda (R); UNLocBoX; penalizedLDA; Tensorlab; Optimal-SPCA; Pyglrm; LowRankModels; rda; sparcl Cited in: 139 Publications all top 5 Cited by 391 Authors 4 Cai, Tony Tony 4 Marron, James Stephen 3 Cai, Jia 3 Jung, Sungkyu 3 Ma, Zongming 3 Ren, Zhao 3 Tibshirani, Robert John 3 Witten, Daniela M. 3 Zhou, Harrison H. 2 Ahn, Jeongyoun 2 Bouveyron, Charles 2 Chandrasekaran, Venkat 2 Filzmoser, Peter 2 Fine, Jason Peter 2 Frouin, Vincent 2 Gaynanova, Irina 2 Hastie, Trevor John 2 Hou, Thomas Yizhao 2 Huang, Jianhua Z. 2 Josse, Julie 2 Kawano, Shuichi 2 Lei, Jing 2 Liao, Yuan 2 Liquet, Benoit 2 Liu, Han 2 Liu, Wanquan 2 Liu, Yufeng 2 Lock, Eric F. 2 Mao, Xianpeng 2 Nadler, Boaz 2 Pan, Guangming 2 Parrilo, Pablo A. 2 Paul, Debashis 2 Philippe, Cathy 2 Priebe, Carey E. 2 Safo, Sandra E. 2 Shen, Cencheng 2 Shen, Haipeng 2 Sutton, Matthew William 2 Tenenhaus, Arthur 2 Vu, Vincent Q. 2 Wang, Hao 2 Wang, Yiju 2 Willsky, Alan Steven 2 Yang, Yuning 2 Zhang, Fan 2 Zhang, Pengchuan 2 Zhou, Hua 2 Zhou, Yong 1 Adachi, Kohei 1 Ahipaşaoğlu, Selin Damla 1 Ahmad, Amir A. 1 Alfons, Andreas 1 Ames, Brendan P. W. 1 Aravkin, Aleksandr Y. 1 Arnold, D. S. 1 Aue, Alexander 1 Bach, Francis R. 1 Bai, Jiawei 1 Bai, Jushan 1 Bailey, Natalia 1 Balakrishnan, Narayanaswamy 1 Beck, Amir 1 Bentler, Peter M. 1 Berk, Lauren 1 Bertsimas, Dimitris John 1 Bhadra, Anindya 1 Bhattacharya, Anirban 1 Bian, Mengjie 1 Bickel, Peter John 1 Billor, Nedret 1 Birnbaum, Aharon 1 Blum, Yuna 1 Boulesteix, Anne-Laure Isabeau 1 Bowler, Russell P. 1 Breiteneder, Christian J. 1 Brodinová, Šárka 1 Brunet-Saumard, Camille 1 Brunton, Steven L. 1 Caccetta, Louis 1 Caffo, Brian S. 1 Candès, Emmanuel J. 1 Causeur, David J. 1 Chakrabarti, Arnab 1 Chan, Kung-Sik 1 Chandler, Gabriel 1 Chen, Jia 1 Chen, Kun 1 Chi, Eric C. 1 Chiquet, Julien 1 Chu, Delin 1 Coad, D. Stephen 1 Coleman, Jacob 1 Corander, Jukka 1 Cox, Trevor F. 1 Critchley, Frank 1 Croux, Christophe 1 Dang, Wei 1 Datta, Jyotishka 1 Davis, Ronald W. ...and 291 more Authors all top 5 Cited in 62 Serials 17 The Annals of Statistics 14 The Annals of Applied Statistics 12 Computational Statistics and Data Analysis 6 Journal of Multivariate Analysis 6 Journal of Machine Learning Research (JMLR) 5 Journal of the American Statistical Association 5 Statistical Applications in Genetics and Molecular Biology 3 Journal of Applied Statistics 3 Journal of Computational and Graphical Statistics 2 Psychometrika 2 Applied Mathematics and Computation 2 Journal of Optimization Theory and Applications 2 Statistical Science 2 Computational Statistics 2 Communications in Statistics. Simulation and Computation 2 Test 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Biostatistics 2 Advances in Data Analysis and Classification. ADAC 2 Electronic Journal of Statistics 2 Statistics and Computing 2 SIAM Journal on Mathematics of Data Science 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Biometrics 1 Journal of Econometrics 1 Journal of Statistical Planning and Inference 1 Operations Research 1 Statistics & Probability Letters 1 Operations Research Letters 1 Journal of Classification 1 Optimization 1 Probability Theory and Related Fields 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Neural Networks 1 Machine Learning 1 Neural Computation 1 Journal of Global Optimization 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Applied Mathematics 1 Mathematical Programming. Series A. Series B 1 Computational Optimization and Applications 1 Statistica Sinica 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Data Mining and Knowledge Discovery 1 Optimization and Engineering 1 Foundations of Computational Mathematics 1 Statistical Modelling 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Computational & Mathematical Methods in Medicine 1 Statistical Analysis and Data Mining 1 Journal of Statistical Theory and Practice 1 Mathematical Geosciences 1 Mathematical Programming Computation 1 Statistics Surveys 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Sankhyā. Series A 1 Research in the Mathematical Sciences 1 Foundations of Data Science all top 5 Cited in 18 Fields 119 Statistics (62-XX) 24 Operations research, mathematical programming (90-XX) 23 Numerical analysis (65-XX) 17 Computer science (68-XX) 11 Biology and other natural sciences (92-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year