ON THE STRUCTURE OF PARTIAL LEAST SQUARES REGRESSION

Keywords

Partial least squares regression, Mathematics, Total least squares, Principal component regression, Regression analysis

References

• Regression, Prediction and ShrinkageJ. B. Copas — 1983
• Systems under indirect observation : causality, structure, predictionKarl G. Jöreskog, Herman Wold — 1982
• Analysis of two partial-least-squares algorithms for multivariate calibrationRolf Manne — 1987
• A Critique of Some Ridge Regression MethodsGary Smith, Frank W. Campbell — 1980
• Cross-Validatory Estimation of the Number of Components in Factor and Principal Components ModelsSvante Wold — 1978
• Comparison of prediction methods for multicollinear dataTormod Næs, Harald Martens — 1985
• Classical and Inverse Regression Methods of CalibrationRichard G. Krutchkoff — 1967
• Multivariate Calibration When the Error Covariance Matrix Is StructuredTormod Næs — 1985
• Some Considerations in the Evaluation of Alternate Prediction EquationsRichard F. Gunst, Robert Mason — 1979
• Selecting principal components in regressionRobert Mason, Richard F. Gunst — 1985
• A theoretical foundation for the PLS algorithmAvraham Lorber, Lawrence E. Wangen, Bruce R. Kowalski — 1987
• When is the inverse regression estimator MSE-superior to the standard regression estimator in multivariate controlled calibration situations?Rolf Sundberg — 1985
• Cross‐Validatory Choice and Assessment of Statistical PredictionsM. Stone — 1976
• Multivariate Calibration With More Variables Than ObservationsRolf Sundberg, Philip J. Brown — 1989
• Partial least-squares regression: a tutorialPaul Geladi, Bruce R. Kowalski — 1986
• The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized InversesSvante Wold, Axel Ruhe, Herman Wold — 1984
• A Misuse of Ridge Regression in the Calibration of a Near Infrared Reflectance InstrumentTom Fearn — 1983
• ANOVA Interactions Interpreted by Partial Least Squares RegressionAre H. Aastveit, Harald Martens — 1986
• Comparison of Linear Statistical Methods for Calibration of Nir InstrumentsTormod Næs, C. Irgens, Harald Martens — 1986
• A Note on the Use of Principal Components in RegressionIan T. Jolliffe — 1982

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• A Comparison Study of Principle Component Regression, Partial Least Square Regression and Ridge Regression with Application to FTIR DataYing Li — 2010
• Réduction de dimension dans les modèles linéaires généralisés : Application à la classification supervisée de données issues des biopucesGersende Fort, Sophie Lambert‐Lacroix, Julie Peyre — 2005
• Penalized Discriminant Methods for the Classification of Tumors from Gene Expression DataDebashis Ghosh — 2003
• Spatially Aggregated Multi-Class Pattern Classification in Functional MRI using Optimally Selected Functional Brain Areas志行 秩父 — 2012
• Decomposition, nutrient cycling and climate change in Australian tropical rainforestsScott A. Parsons — 2010
• Nonparametric Methods for Classification and Related Feature Selection ProceduresShuxin Yin — 2011
• Regression with Signals and Images as PredictorsPhilip T. Reiss — 2006
• Market-based capabilities, perceived quality and firm performanceM. Aakouk — 2006
• Construction Concepts for Continuum RegressionDan J. Spitzner — 2004
• Model Selection Techniques for Kernel-Based Regression Analysis Using Information Complexity Measure and Genetic AlgorithmsRui Zhang — 2007
• A Two Step Model for Linear Prediction, with Connections to PLSYing Li — 2011
• Chimiométrie appliquée à la spectroscopie de plasma induit par laser (LIBS) et à la spectroscopie terahertzJosette El Haddad — 2013
• PLS regression : a directional signal-noise approachPierre Druilhet, Alain Mom — 2004
• Systems Theory for Pharmaceutical Drug DiscoveryAnil Aswani — 2010
• A Two Step Model for Linear Prediction with Group EffectYing Li, Dietrich von Rosen — 2011
• Combined Estimators as alternative to Ordinary Least Square EstimatorKayode Ayindea — 2013
• Advanced Multivariate Statistics with MatricesTõnu Kollo, Dietrich von Rosen — 2005
• Analysis of Multivariate and High-Dimensional Data: NotationInge Koch — 2013
• Multivariate statistical process control of chemical processesM. C. Papazoglou — 1998
• L'évaluation du risque et de la performance des Hedge FundsEmmanuelle Fromont — 2006

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