R package smacof: SMACOF for Multidimensional Scaling. This package provides the following approaches of multidimensional scaling (MDS) based on stress minimization by means of majorization (smacof): Simple smacof on symmetric dissimilarity matrices, smacof for rectangular matrices (unfolding models), smacof with constraints on the configuration, three-way smacof for individual differences (including constraints for idioscal, indscal, and identity), and spherical smacof (primal and dual algorithm). Each of these approaches is implemented in a metric and nonmetric manner including primary, secondary, and tertiary approaches for tie handling. Jackknife and permutation tests are included as well.

References in zbMATH (referenced in 17 articles , 1 standard article )

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  1. Borg, Ingwer; Groenen, Patrick J. F.; Mair, Patrick: Applied multidimensional scaling and unfolding (2018)
  2. Mair, Patrick: Modern psychometrics with R (2018)
  3. Okada, Kensuke; Mayekawa, Shin-ichi: Post-processing of Markov chain Monte Carlo output in Bayesian latent variable models with application to multidimensional scaling (2018)
  4. Schäfer, Dirk; Hüllermeier, Eyke: Dyad ranking using Plackett-Luce models based on joint feature representations (2018)
  5. Greenacre, Michael J.; Groenen, Patrick J. F.: Weighted Euclidean biplots (2016)
  6. Gruenhage, Gina; Opper, Manfred; Barthelme, Simon: Visualizing the effects of a changing distance on data using continuous embeddings (2016)
  7. Bai, Shuanghua; Qi, Huo-Duo; Xiu, Naihua: Constrained best Euclidean distance embedding on a sphere: a matrix optimization approach (2015)
  8. Mateu, Jorge; Schoenberg, Frederic P.; Diez, David M.; González, Jonatan A.; Lu, Weipeng: On measures of dissimilarity between point patterns: classification based on prototypes and multidimensional scaling (2015)
  9. Preoteasa, Cristina Teodora; Ionescu, Ecaterina; Preoteasa, Elena; Machado, J. A. Tenreiro; Baleanu, Mihaela Cristina; Baleanu, Dumitru: Multidimensional scaling for orthodontic root resorption (2013) ioport
  10. Lima, Miguel F. M.; Tenreiro Machado, J. A.; Costa, António C.: A multidimensional scaling analysis of musical sounds based on pseudo phase plane (2012)
  11. Tenreiro Machado, J.: Multidimensional scaling analysis of fractional systems (2012)
  12. Bien, Jacob; Tibshirani, Robert J.: Sparse estimation of a covariance matrix (2011)
  13. Didier Leibovici: Spatio-Temporal Multiway Data Decomposition Using Principal Tensor Analysis on k-Modes: The R Package PTAk (2010)
  14. Köhn, Hans-Friedrich: Representation of individual differences in rectangular proximity data through anti-Q matrix decomposition (2010)
  15. Jan de Leeuw; Kurt Hornik; Patrick Mair: Isotone Optimization in R: Pool-Adjacent-Violators Algorithm (PAVA) and Active Set Methods (2009)
  16. Jan de Leeuw; Patrick Mair: Multidimensional Scaling Using Majorization: SMACOF in R (2009)
  17. de Leeuw, Jan; Groenen, Patrick J. F.: Inverse multidimensional scaling (1997)