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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML//EN"><html><head><title>SOM Toolbox / som_umat </title></head><body bgcolor=#f0f0f0><table border=0 width="100%" cellpadding=0 cellspacing=0><tr><td valign=baseline><font size=+2>SOM Toolbox</font></td><td valign=baseline align=center><a href="somtoolbox.html">Online documentation</td><td valign=baseline align=right><a href="http://www.cis.hut.fi/projects/somtoolbox/" target="_top">http://www.cis.hut.fi/projects/somtoolbox/</a></td></tr></table><hr><H1> som_umat </H1><H3> Purpose </H3><PRE> Computes the unified distance matrix of a SOM.</PRE><H3> Syntax </H3><UL><PRE> U = som_umat(sM) U = som_umat(...,'argID',value,...) U = som_umat(...,value,...)</PRE></UL><H3> Description </H3><PRE> Compute and return the unified distance matrix of a SOM. For example a case of 5x1 -sized map: m(1) m(2) m(3) m(4) m(5) where m(i) denotes one map unit. The u-matrix is a 9x1 vector: u(1) u(1,2) u(2) u(2,3) u(3) u(3,4) u(4) u(4,5) u(5) where u(i,j) is the distance between map units m(i) and m(j) and u(k) is the mean (or minimum, maximum or median) of the surrounding values, e.g. u(3) = (u(2,3) + u(3,4))/2. Note that the u-matrix is always calculated for 'sheet'-shaped map and the map grid must be at most 2-dimensional.</PRE><H3> References </H3><PRE> Ultsch, A., Siemon, H.P., "Kohonen's Self-Organizing Feature Maps for Exploratory Data Analysis", in Proc. of INNC'90, International Neural Network Conference, Dordrecht, Netherlands, 1990, pp. 305-308. Kohonen, T., "Self-Organizing Map", 2nd ed., Springer-Verlag, Berlin, 1995, pp. 117-119. Iivarinen, J., Kohonen, T., Kangas, J., Kaski, S., "Visualizing the Clusters on the Self-Organizing Map", in proceedings of Conference on Artificial Intelligence Research in Finland, Helsinki, Finland, 1994, pp. 122-126. Kraaijveld, M.A., Mao, J., Jain, A.K., "A Nonlinear Projection Method Based on Kohonen's Topology Preserving Maps", IEEE Transactions on Neural Networks, vol. 6, no. 3, 1995, pp. 548-559.</PRE><H3> Required input arguments </H3><PRE> sM (struct) SOM Toolbox struct or the codebook matrix of the map. (matrix) The matrix may be 3-dimensional in which case the first two dimensions are taken for the map grid dimensions (msize).</PRE><H3> Optional input arguments </H3><PRE> argID (string) Argument identifier string (see below). value (varies) Value for the argument (see below). The optional arguments are given as 'argID',value -pairs. If the value is unambiguous, it can be given without the preceeding argID. If an argument is given value multiple times, the last one is used. Below is the list of valid arguments: 'mask' (vector) mask to be used in calculating the interunit distances, size [dim 1]. Default is the one in sM (field sM.mask) or a vector of ones if only a codebook matrix was given. 'topol' (struct) topology of the map. Default is the one in sM (field sM.topol). 'sTopol','som_topol' (struct) = 'topol' 'msize' (vector) map grid dimensions 'lattice' (string) map lattice 'rect' or 'hexa' 'mode' (string) 'min', 'mean', 'median' or 'max' Map unit value computation method. In fact, eval-function is used to evaluate this, so you can give other computation methods as well. Default is 'median'. </PRE><H3> Output arguments </H3><PRE> U (matrix) the unified distance matrix of the SOM size 2*n1-1 x 2*n2-1, where n1 = msize(1) and n2 = msize(2)</PRE><H3> Examples </H3><PRE> U = som_umat(sM); U = som_umat(sM.codebook,sM.topol,'median','mask',[1 1 0 1]); U = som_umat(rand(10,10,4),'hexa','rect'); </PRE><H3> See also </H3><TABLE NOBORDER WIDTH=80%><TR><TD><a href="som_show.html"><B>som_show</B></a><TD> show the selected component planes and the u-matrix<TR><TD><a href="som_cplane.html"><B>som_cplane</B></a><TD> draw a 2D unified distance matrix</TABLE><p><hr><br><br><!-- Last updated: May 30 2002 --></body></html>⌨️ 快捷键说明
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