Method and arrangement for calibration of input data
First Claim
1. A computer-implementcd method for concentration or property calibration of input data samples from samples of substances or matter to determine a filter model for further samples of the same substance or matter, comprising:
- optionally trnsforming, centermg and scaling the input data;
arranging said input data in an input set matrix X;
determining a concentration or property set matrix Y;
determining a loading set determining with a computer a score set matrix T with a non-standard PLS algorithm having weights w, wherein weights w are defined by the formula;
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Abstract
NIR spectra are often pre-processed in order to remove systematic noise such as base-line varation and multiplicative scauer effects. This is done by differentiating the spectra to first or second derivatives, by Mtltiplicative Siga Correction (MSC), or by sirnilar filtering methods. This pre-processinp may, however, also remove infosmaion fror The spectra regarding Y (the measured response variable in multivarate calibration applications). Provided is a variant ofPLS that can be used to achieve a signal correction that is as close to orthogonal as possible to a given Y-vector or Y-matrix (430). Thus, ensung that the signal correction removes as little information as possible regarding Y. In the case when the number of X-variables, in an X matrix, K exceeds the number of observations N, strict orthogonality is obtined. A filter (470) according to the present invention is named Orthogonal Signal Correction (OSC).
37 Citations
10 Claims
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1. A computer-implementcd method for concentration or property calibration of input data samples from samples of substances or matter to determine a filter model for further samples of the same substance or matter, comprising:
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optionally trnsforming, centermg and scaling the input data;
arranging said input data in an input set matrix X;
determining a concentration or property set matrix Y;
determining a loading set determining with a computer a score set matrix T with a non-standard PLS algorithm having weights w, wherein weights w are defined by the formula;
- View Dependent Claims (2, 3, 4, 5)
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6. An arragement for concentration or property calibration of spectroscopic input data from samples of substance or matter, to determine a filter means for further spectra of samples of the same type, comprising:
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a transforming means, a centering meas, and a scale means to optionally operate on the input data in order to provide two start sets, arrangement means for arranging said input data in an input set matrix X;
determining means for determining, from an input set and a concentration or property calibration set matrix Y, a score set matrix T and a loading set;
calculation means for determining the product between the score set matrix and the loading set, said product resembling the input set matrix as much as possible under the constraint that the score set matrix is orthogonal to the concentration or property set matrix;
filter means for filtering said spectroscopic input data by subtracting said product from the input set matrix in order to remove variations relating to properties other than present calibration properties thereby determining said filter model;
wherebysaid filter model provides that further samples of the same type can be filtered with the filter model and wherein the score set matrix T is determined with a non-standard PLS algorithm having weights w, wherein weigts w are defined by the formula;
- View Dependent Claims (7, 8, 9, 10)
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Specification