@CONFERENCE\{IMM2002-0912, author = "K. B. Hilger and A. A. Nielsen and R. Larsen and K. Conradsen", title = "Linear and Nonlinear Multiset Canonical Correlation Analysis", year = "2002", month = "aug", booktitle = "Eleventh International Workshop on Matrices and Statistics, invited contribution", volume = "", series = "Technical University of Denmark", editor = "Knut Conradsen and Bjarne Ersb{\o}ll", publisher = "Informatics and Mathematical Modelling, Technical University of Denmark, {DTU}", organization = "", address = "Richard Petersens Plads, Building 321, {DK-}2800 Kgs. Lyngby", url = "http://www2.compute.dtu.dk/pubdb/pubs/912-full.html", abstract = "This paper deals with decompositioning of multiset data. Friedman's alternating conditional expectations (ACE) algorithm is extended to handle multiple sets of variables of different mixtures. The new algorithm finds estimates of the optimal transformations of the involved variables that maximize the sum of the pair-wise correlations over all sets. The new algorithm is termed multi-set {ACE} (MACE) and can find multiple orthogonal eigensolutions. {MACE} is a generalization of the linear multiset correlations analysis (MCCA). It handles multivariate multisets of arbitrary mixtures of both continuous and categorical variables by applying only bivariate scatterplot smoothers for which the data analyst may specify appropriate restrictions when performing an exploratory analysis of the data." }