Standard-free calibration transfer - An evaluation of different techniques☆

Abstract The combination of spectroscopic measurements and multivariate calibration techniques (chemometrics) has become a state-of-the-art technology for process analytical chemistry. Changes, intended or unintended, in the environmental conditions, the measurement setup or of the measured substance itself can result in a calibration model that is no longer adequate for the intended purpose. In such a situation, either a new model needs to be developed or (calibration) transfer methods, can be applied to transfer models from the original (main, master) to the new (remote, slave) setting. In this contribution, we introduce, discuss and evaluate a wide-ranging subset of transfer approaches available in chemometrics and the field of machine learning, where we focus on techniques applicable in situations where transfer standards, i.e. a set of samples measured under the original as well as the new setting, cannot be provided and only few reference measurements are available for the new setting. The introduced techniques are evaluated on a public data set as well as a new industrial data set displaying three forms of transfer problems. The efficiency of the proposed transfer approaches in terms of the number of required reference measurements compared to full model recalibration can bee confirmed. Average rank maps are presented to provide guidance on a proper choice among evaluated techniques.

[1]  Yong He,et al.  Theory and application of near infrared reflectance spectroscopy in determination of food quality , 2007 .

[2]  B. Kowalski,et al.  Improvement of multivariate calibration through instrument standardization , 1992 .

[3]  B. Kowalski,et al.  Multivariate instrument standardization , 1991 .

[4]  Y. Roggo,et al.  A review of near infrared spectroscopy and chemometrics in pharmaceutical technologies. , 2007, Journal of pharmaceutical and biomedical analysis.

[5]  Jean-Michel Roger,et al.  Pretreatments by means of orthogonal projections , 2012 .

[6]  Beata Walczak,et al.  Selection and weighting of samples in multivariate regression model updating , 2005 .

[7]  Onno E. de Noord,et al.  Multivariate calibration standardization , 1994 .

[8]  S. Wold,et al.  Orthogonal signal correction of near-infrared spectra , 1998 .

[9]  Jean-Michel Roger,et al.  Calibration transfer of intact olive NIR spectra between a pre-dispersive instrument and a portable spectrometer , 2013 .

[10]  Tom Fearn,et al.  Error removal by orthogonal subtraction (EROS): a customised pre‐treatment for spectroscopic data , 2008 .

[11]  L. A. Stone,et al.  Computer Aided Design of Experiments , 1969 .

[12]  Kerstin Wiesner,et al.  Trends in Near Infrared Spectroscopy and Multivariate Data Analysis From an Industrial Perspective , 2014 .

[13]  Jiangtao Peng,et al.  Near-infrared calibration transfer based on spectral regression. , 2011, Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy.

[14]  K. Esbensen,et al.  Regression on multivariate images: Principal component regression for modeling, prediction and visual diagnostic tools , 1991 .

[15]  Ivor W. Tsang,et al.  Domain Adaptation via Transfer Component Analysis , 2009, IEEE Transactions on Neural Networks.

[16]  I. Jolliffe A Note on the Use of Principal Components in Regression , 1982 .

[17]  Michael I. Jordan,et al.  Dimensionality Reduction for Supervised Learning with Reproducing Kernel Hilbert Spaces , 2004, J. Mach. Learn. Res..

[18]  T. B. Blank,et al.  Transfer of Near-Infrared Multivariate Calibrations without Standards. , 1996, Analytical chemistry.

[19]  Huwei Tan,et al.  Improvement of a Standard-Free Method for Near-Infrared Calibration Transfer , 2002 .

[20]  D. E. Honigs,et al.  Trends in near-infrared analysis , 1986 .

[21]  Olof Svensson,et al.  An evaluation of orthogonal signal correction applied to calibration transfer of near infrared spectra , 1998 .

[22]  R. Yu,et al.  Maintaining the predictive abilities of multivariate calibration models by spectral space transformation. , 2011, Analytica chimica acta.

[23]  Bernhard Schölkopf,et al.  Kernel Principal Component Analysis , 1997, ICANN.

[24]  Bernhard Schölkopf,et al.  Domain Generalization via Invariant Feature Representation , 2013, ICML.

[25]  Yizeng Liang,et al.  Calibration model transfer for near-infrared spectra based on canonical correlation analysis. , 2008, Analytica chimica acta.

[26]  Steven D Brown,et al.  Transfer of multivariate calibrations between four near-infrared spectrometers using orthogonal signal correction. , 2004, Analytical chemistry.

[27]  Huwei Tan,et al.  Wavelet hybrid direct standardization of near‐infrared multivariate calibrations , 2001 .

[28]  Koby Crammer,et al.  Learning from Multiple Sources , 2006, NIPS.

[29]  Susan L. Rose-Pehrsson,et al.  Comparison of two multiplicative signal correction strategies for calibration transfer without standards , 2008 .

[30]  Bernhard Schölkopf,et al.  Domain Adaptation under Target and Conditional Shift , 2013, ICML.

[31]  Bruce R. Kowalski,et al.  Weighting schemes for updating regression models—a theoretical approach , 1999 .

[32]  Desire L. Massart,et al.  Improvement of the piecewise direct standardisation procedure for the transfer of NIR spectra for multivariate calibration , 1996 .

[33]  Yishay Mansour,et al.  Domain Adaptation with Multiple Sources , 2008, NIPS.

[34]  S. Wold,et al.  PLS-regression: a basic tool of chemometrics , 2001 .

[35]  Huirong Xu,et al.  Near infrared spectroscopy for on/in-line monitoring of quality in foods and beverages: A review , 2008 .

[36]  Steven D. Brown,et al.  Transfer of multivariate calibration models: a review , 2002 .

[37]  Héctor C. Goicoechea,et al.  Representative subset selection and standardization techniques. A comparative study using NIR and a simulated fermentative process UV data , 2007 .

[38]  T. Næs,et al.  Principal component regression in NIR analysis: Viewpoints, background details and selection of components , 1988 .

[39]  Vladimir Pavlovic,et al.  Central Subspace Dimensionality Reduction Using Covariance Operators , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[40]  Steven D. Brown,et al.  Stacked PLS for calibration transfer without standards , 2011 .

[41]  Qiang Yang,et al.  Transfer Learning via Dimensionality Reduction , 2008, AAAI.

[42]  João A. Lopes,et al.  Chemometrics in bioprocess engineering: process analytical technology (PAT) applications , 2004 .

[43]  A. K. Cline,et al.  Computation of the Singular Value Decomposition , 2006 .

[44]  D. Massart,et al.  Standardisation of near-infrared spectrometric instruments: A review , 1996 .

[45]  Charles R. Hurburgh,et al.  Improving the transfer of near infrared prediction models by orthogonal methods , 2009 .

[46]  Tom Heskes,et al.  Multi-task preference learning with an application to hearing aid personalization , 2010, Neurocomputing.

[47]  Barry M. Wise,et al.  A Calibration Model Maintenance Roadmap , 2015 .

[48]  Anton Schwaighofer,et al.  Learning Gaussian processes from multiple tasks , 2005, ICML.

[49]  Bernhard Schölkopf,et al.  Nonlinear Component Analysis as a Kernel Eigenvalue Problem , 1998, Neural Computation.

[50]  Paul Geladi,et al.  Calibration Transfer for Predicting Lake-Water pH from near Infrared Spectra of Lake Sediments , 1999 .