文件列表:

Nway104\unimodalcrossproducts.m (4543, 1999-11-15)
Nway104\chkpfdim.m (771, 1998-07-21)
Nway104\ckron.m (530, 1998-08-26)
Nway104\cmatrep.m (634, 1999-11-15)
Nway104\complpol.m (143, 1999-10-11)
Nway104\contents.m (2459, 1999-10-11)
Nway104\corcond.m (5919, 1999-10-11)
Nway104\coredian.m (397, 1998-08-26)
Nway104\coreswdn.m (839, 1998-08-26)
Nway104\corevarn.m (419, 1998-08-26)
Nway104\derdia3.m (1820, 1998-08-26)
Nway104\derswd3.m (2135, 1998-08-26)
Nway104\dervar3.m (3077, 1998-08-26)
Nway104\dtld.m (3321, 1999-10-11)
Nway104\explcore.m (1703, 1999-11-15)
Nway104\fac2let.m (2452, 1999-01-22)
Nway104\fastnnls.m (1908, 1999-10-11)
Nway104\fnipals.m (6491, 1999-01-22)
Nway104\getindxn.m (480, 1999-10-11)
Nway104\gram.m (2443, 1999-10-11)
Nway104\gsm.m (971, 1998-08-26)
Nway104\ini.m (7336, 2000-09-11)
Nway104\inituck.m (5854, 1999-01-22)
Nway104\maxdia3.m (4200, 1998-08-26)
Nway104\maxswd3.m (3811, 1998-08-26)
Nway104\maxvar3.m (4191, 1998-08-26)
Nway104\meannan.m (601, 1999-10-11)
Nway104\missmean.m (974, 1999-10-11)
Nway104\missmult.m (873, 1999-10-11)
Nway104\misssum.m (1156, 1999-10-11)
Nway104\monreg.m (2365, 1999-11-15)
Nway104\ncosine.m (2383, 1998-09-04)
Nway104\neye.m (1478, 1999-01-22)
Nway104\nident.m (474, 1998-08-26)
Nway104\nmodel.m (5284, 1999-10-11)
Nway104\nonneg.m (2416, 1999-01-22)
Nway104\noptiopf.mat (76, 1998-08-26)
Nway104\noptiot3.mat (108, 1998-08-26)
Nway104\normit.m (545, 1999-10-11)
Nway104\npls.m (7720, 2000-09-11)
... ...

IMPORTANT NOTES ON THE N-WAY TOOLBOX ver. 1.03 There are some important details that are necessary to know in order to be able to use the N-way toolbox properly. These are given here - please read carefully before using the toolbox. CONDITIONS The toolbox is freeware and may be utilized (but not modified) if proper reference is given to the authors. The N-way Toolbox for MATLAB ver. 1.03, http://www.models.kvl.dk/ R. Bro & C. A. Andersson Food Technology The Royal Veterinary and Agircultural University DK-1958 Frederiksberg Denmark WARRANTY In short, no guarantees, whatsoever, are given for the quality of this toolbox or for the consequences of its use. It is inevitable that there will be some bugs, but we have tried to test the algorithms thoroughly. WHERE DOES THE TOOLBOX WORK? The toolbox has been tested on MATLAB 4.2 and 5. in Windows95 only. No use has been made of the arrays supported by MATLAB 5, since this would prevent the use of the algorithms on earlier versions of MATLAB. However, next major update of the toolbox is likely to utilize arrays (unless our users tell us not to). SETTING UP THE TOOLBOX In order to install the toolbox copy the main files to a directory (e.g. NWAY) and copy the additional auxiliary files into a subdirectory called PRIVATE. Make sure that both these paths are included in MATLAB's path (in MATLAB 5 the 'private' path is automatically included) DATA INPUT In order to input the N-way data into the algorithm they must be arranged as a matrix. This is described in several places. Consider for example a situation where you have measured several samples on a spectrometer. This is an ordinary two-way data set which can be stored in a matrix, X1. Suppose the same data are also measured similarly but at two other pH values. Two more data set are then available: X2 and X3. Together these three matrices can be arranged as a three-way array (sample x spectra x pH), but in MATLAB they will be held as a matrix X = [X1 X2 X3]. Define DimX = [I J K], that is a three-vector where I is the number of samples, J the number of wavelenghts, and K the number of pH values (three in this case). Then X is really an I x J x K array but is held as an I x JK matrix. To calculate, say, a two-component PARAFAC model write Factors = parafac(X,DimX,2); Note, that the row-mode of the data matrix must correspond to the first mode of the array, while the column mode of the matrix is holding the remaining (confounded) modes. Note also how these confounded modes are arranged. The second mode is the one with its indices 'running fastest'. MODEL OUTPUT All algorithms for fitting models use a specific format for the estimated loadings. This format has been chosen because it enables a straightforward generalization to N-way arrays. Consider for a simple example ordinary two-way PCA. A typical MATLAB format for a NIPLAS-based PCA algorithm could be [T,P]=fnipals(X,F) where X is the (I x J) data matrix and F the number of components. Normally the scores, T, and loadings, P, are given in two separate matrices. This is a very natural way of outputting the parameters. For the N-way models all loadings are output in one vector called 'Factors'. The first elements of Factors hold the vectorized first loading matrix, the following the vectorized second loading matrix, etc. In case of the PCA model above, Factors would read Factors = [vecT;vecP] = [T(:);P(:)] For a three-way PARAFAC model 'Factors' would read Factors = [A(:);B(:);C(:)] where A is the first-mode loading matrix etc. For a three-way Tucker3 model Factors would be given as for the PARAFAC model, but additionally a core array would be output. [Factors,G]=tucker(X,DimX,F); For a tri-PLS2 model (three-way X, two-way Y) two vectors are defined Xfactors = [T(:);Wj(:);Wk(:)]; Yfactors = [U(:);Q(:)]; In order to convert the vectorized parameters to ordinary scores and loading matrices the M-file FAC2LET (factors to letters) is used. MISSING DATA For all algorithms the same flag is used for missing elements, namely NaN. If you have a data set, X, where missing elements are, e.g., designated by the number -9999, you can easily modify the data as X(find(X==-9999))=NaN*find(X==-9999); SUPPORT We are VERY interested in and dependent on feedback from the users. If you have problems running the toolbox please supply screendumps as well as version number of toolbox, MATLAB, and operating system before contacting us. We will do the utmost to help overcoming the problems. In the rare event that the support required is very time-consuming we will have to charge for this service. The authors may be contacted by email: claus@andersson.dk (primarily Tucker and application/helper programs) rb@kvl.dk (primarily PARAFAC/N-PLS)

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