Npls: Difference between revisions

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===Purpose===
===Purpose===
Multilinear-PLS (N-PLS) for true multi-way regression.
Multilinear-PLS (N-PLS) for true multi-way regression.
===Synopsis===
===Synopsis===
:model = npls(x,y,ncomp,''options'')
:model = npls(x,y,ncomp,''options'')
:pred  = npls(x,ncomp,model,''options'')
:pred  = npls(x,ncomp,model,''options'')
:options = npls('options')
:options = npls('options')
===Description===
===Description===
NPLS fits a multilinear PLS1 or PLS2 regression model to x and y [R. Bro, J. Chemom., 1996, 10(1), 47-62]. The NPLS function also can be used for calibration and prediction.
NPLS fits a multilinear PLS1 or PLS2 regression model to x and y [R. Bro, J. Chemom., 1996, 10(1), 47-62]. The NPLS function also can be used for calibration and prediction.
====INPUTS====
====INPUTS====
* '''x''' = X-block,
* '''x''' = X-block,
* '''y''' = Y-block, and
* '''y''' = Y-block, and
* '''ncomp''' = the number of factors to compute, or
* '''ncomp''' = the number of factors to compute, or
* '''model''' = in prediction mode, this is a structure containing a NPLS model.
* '''model''' = in prediction mode, this is a structure containing a NPLS model.
====OPTIONAL INPUTS====
====OPTIONAL INPUTS====
*'''''''' options'' = discussed below.
*'''''''' options'' = discussed below.
====OUTPUTS====
====OUTPUTS====
* '''model''' = standard model structure (see: MODELSTRUCT) with the following fields:
* '''model''' = standard model structure (see: MODELSTRUCT) with the following fields:
* '''modeltype''': 'NPLS',
* '''modeltype''': 'NPLS',
* '''datasource''': structure array with information about input data,
* '''datasource''': structure array with information about input data,
* '''date''': date of creation,
* '''date''': date of creation,
* '''time''': time of creation,
* '''time''': time of creation,
* '''info''': additional model information,
* '''info''': additional model information,
* '''reg''': cell array with regression coefficients,
* '''reg''': cell array with regression coefficients,
* '''loads''': cell array with model loadings for each mode/dimension,
* '''loads''': cell array with model loadings for each mode/dimension,
* '''core''': cell array with the NPLS core,
* '''core''': cell array with the NPLS core,
* '''pred''': cell array with model predictions for each input data block,
* '''pred''': cell array with model predictions for each input data block,
* '''tsqs''': cell array with T<sup>2</sup> values for each mode,
* '''tsqs''': cell array with T<sup>2</sup> values for each mode,
* '''ssqresiduals''': cell array with sum of squares residuals for each mode,
* '''ssqresiduals''': cell array with sum of squares residuals for each mode,
* '''description''': cell array with text description of model, and
* '''description''': cell array with text description of model, and
* '''detail''': sub-structure with additional model details and results.
* '''detail''': sub-structure with additional model details and results.
===Options===
===Options===
* '''''options''''' = options structure containing the fields:
* '''''options''''' = options structure containing the fields:
* '''display''': [ 'off' | {'on'} ], governs level of display to command window,
* '''display''': [ 'off' | {'on'} ], governs level of display to command window,
* '''plots''': [ 'none' | {'final'} ], governs level of plotting,
* '''plots''': [ 'none' | {'final'} ], governs level of plotting,
* '''outputregrescoef''':  if this is set to 0 no regressions coefficients associated with the X-block directly are calculated (relevant for large arrays), and
* '''outputregrescoef''':  if this is set to 0 no regressions coefficients associated with the X-block directly are calculated (relevant for large arrays), and
* '''blockdetails''': [ {'standard'} | 'all' ], level of detail included in the model for predictions and residuals.
* '''blockdetails''': [ {'standard'} | 'all' ], level of detail included in the model for predictions and residuals.
===See Also===
===See Also===
[[datahat]], [[explode]], [[gram]], [[mpca]], [[outerm]], [[parafac]], [[pls]], [[tld]], [[unfoldm]]
[[datahat]], [[explode]], [[gram]], [[mpca]], [[outerm]], [[parafac]], [[pls]], [[tld]], [[unfoldm]]

Revision as of 15:26, 3 September 2008

Purpose

Multilinear-PLS (N-PLS) for true multi-way regression.

Synopsis

model = npls(x,y,ncomp,options)
pred = npls(x,ncomp,model,options)
options = npls('options')

Description

NPLS fits a multilinear PLS1 or PLS2 regression model to x and y [R. Bro, J. Chemom., 1996, 10(1), 47-62]. The NPLS function also can be used for calibration and prediction.

INPUTS

  • x = X-block,
  • y = Y-block, and
  • ncomp = the number of factors to compute, or
  • model = in prediction mode, this is a structure containing a NPLS model.

OPTIONAL INPUTS

  • ''' options = discussed below.

OUTPUTS

  • model = standard model structure (see: MODELSTRUCT) with the following fields:
  • modeltype: 'NPLS',
  • datasource: structure array with information about input data,
  • date: date of creation,
  • time: time of creation,
  • info: additional model information,
  • reg: cell array with regression coefficients,
  • loads: cell array with model loadings for each mode/dimension,
  • core: cell array with the NPLS core,
  • pred: cell array with model predictions for each input data block,
  • tsqs: cell array with T2 values for each mode,
  • ssqresiduals: cell array with sum of squares residuals for each mode,
  • description: cell array with text description of model, and
  • detail: sub-structure with additional model details and results.

Options

  • options = options structure containing the fields:
  • display: [ 'off' | {'on'} ], governs level of display to command window,
  • plots: [ 'none' | {'final'} ], governs level of plotting,
  • outputregrescoef: if this is set to 0 no regressions coefficients associated with the X-block directly are calculated (relevant for large arrays), and
  • blockdetails: [ {'standard'} | 'all' ], level of detail included in the model for predictions and residuals.

See Also

datahat, explode, gram, mpca, outerm, parafac, pls, tld, unfoldm