895
Views
64
CrossRef citations to date
0
Altmetric
Theory and Methods

The Degrees of Freedom of Partial Least Squares Regression

&
Pages 697-705 | Received 01 Feb 2010, Published online: 24 Jan 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (4)

Mahamadou Dembélé, Sophie Hudon, Jean-Sébastien Simard, Nicolas Abatzoglou & Ryan Gosselin. (2023) Insights into tablet sticking: a quantitative case study with an ibuprofen and methocarbamol-based formulation. Pharmaceutical Development and Technology 28:1, pages 40-50.
Read now
S. Schmidt, M. Schindler, D. Faber & J. Hager. (2021) Fish early life stage toxicity prediction from acute daphnid toxicity and quantum chemistry. SAR and QSAR in Environmental Research 32:2, pages 151-174.
Read now
Perushan Rajah, John Odindi, Elfatih Abdel-Rahman & Onisimo Mutanga. (2017) Determining the optimal phenological stage for predicting common dry bean (Phaseolus vulgaris) yield using field spectroscopy. South African Journal of Plant and Soil 34:5, pages 379-388.
Read now

Articles from other publishers (60)

J. Barrett Carter, Ray Huffaker, Aditya Singh & Eban Bean. (2023) HUM: A review of hydrochemical analysis using ultraviolet-visible absorption spectroscopy and machine learning. Science of The Total Environment 901, pages 165826.
Crossref
Sherri L. Johnson, Alba Argerich, Linda R. Ashkenas, Rebecca J. Bixby & David C. Plaehn. (2023) Stream nitrate enrichment and increased light yet no algal response following forest harvest and experimental manipulation of headwater riparian zones. PLOS ONE 18:4, pages e0284590.
Crossref
S. Joe Qin, Yiren Liu & Shiqin Tang. (2022) Partial least squares, steepest descent, and conjugate gradient for regularized predictive modeling. AIChE Journal.
Crossref
Mathieu Lesnoff, Donato Andueza, Charlène Barotin, Philippe Barre, Laurent Bonnal, Juan Antonio Fernández Pierna, Fabienne Picard, Philippe Vermeulen & Jean-Michel Roger. (2022) Averaging and Stacking Partial Least Squares Regression Models to Predict the Chemical Compositions and the Nutritive Values of Forages from Spectral Near Infrared Data. Applied Sciences 12:15, pages 7850.
Crossref
Arthur C. Ryzak, David Bart, Eric G. Booth & Steven P. LoheideIIII. (2022) Foliar Nutrients Reflect Variation in Floristic Quality and Hydrology of Calcareous Fens. Wetlands 42:6.
Crossref
Tianyu Guan, Zhenhua Lin, Kevin Groves & Jiguo Cao. (2022) Sparse functional partial least squares regression with a locally sparse slope function. Statistics and Computing 32:2.
Crossref
Age K. Smilde, Tormod Næs & Kristian Hovde Liland. 2022. Multiblock Data Fusion in Statistics and Machine Learning. Multiblock Data Fusion in Statistics and Machine Learning 313 334 .
Jiaxin Yu & S. Joe Qin. (2022) Latent State Space Modeling of High-Dimensional Time Series With a Canonical Correlation Objective. IEEE Control Systems Letters 6, pages 3469-3474.
Crossref
S. Joe Qin. (2021) A Non-iterative Partial Least Squares Algorithm for Supervised Learning with Collinear Data. A Non-iterative Partial Least Squares Algorithm for Supervised Learning with Collinear Data.
Douglas N. Rutledge, Jean-Michel Roger & Matthieu Lesnoff. (2021) Different Methods for Determining the Dimensionality of Multivariate Models. Frontiers in Analytical Science 1.
Crossref
Alessandro Barbarino & Efstathia Bura. (2021) Forecasting Near-equivalence of Linear Dimension Reduction Methods in Large Panels of Macro-variables. Econometrics and Statistics.
Crossref
Matthieu Lesnoff, Jean‐Michel Roger & Douglas N. Rutledge. (2021) Monte Carlo methods for estimating Mallows's Cp and AIC criteria for PLSR models. Illustration on agronomic spectroscopic NIR data. Journal of Chemometrics 35:10.
Crossref
Jérémy Magnanensi, Myriam Maumy-Bertrand, Nicolas Meyer & Frédéric Bertrand. (2021) New Developments in Sparse PLS Regression. Frontiers in Applied Mathematics and Statistics 7.
Crossref
Kailin Zeng & Ebenezer Fiifi Emire Atta Mills. (2021) Can economic links explain lead–lag relations across firms?. International Journal of Finance & Economics.
Crossref
Tate Jacobson & Hui Zou. (2021) Do Predictor Envelopes Really Reduce Dimension?. Journal of Data Science, pages 528-541.
Crossref
Md Takibur Rahman, Rasmus Nielsen, Md Akhtaruzzaman Khan & Dewan Ahsan. (2021) Perceived Risk and Risk Management Strategies in Pond Aquaculture. Marine Resource Economics 36:1, pages 43-69.
Crossref
Osamah Alrezj, Mohammed Benaissa & Saleh A. Alshebeili. (2020) Digital bandstop filtering in the quantitative analysis of glucose from near‐infrared and midinfrared spectra. Journal of Chemometrics 34:3.
Crossref
Shamim A. Mollah & Shankar Subramaniam. (2020) Histone Signatures Predict Therapeutic Efficacy in Breast Cancer. IEEE Open Journal of Engineering in Medicine and Biology 1, pages 74-82.
Crossref
Nedret Billor & Asuman S. Turkmen. 2020. Women in Industrial and Systems Engineering. Women in Industrial and Systems Engineering 27 48 .
Titin Agustin Nengsih, Frédéric Bertrand, Myriam Maumy-Bertrand & Nicolas Meyer. (2019) Determining the number of components in PLS regression on incomplete data set. Statistical Applications in Genetics and Molecular Biology 18:6.
Crossref
Satoshi Takahama, Ann M. Dillner, Andrew T. Weakley, Matteo Reggente, Charlotte Bürki, Mária Lbadaoui-Darvas, Bruno Debus, Adele Kuzmiakova & Anthony S. Wexler. (2019) Atmospheric particulate matter characterization by Fourier transform infrared spectroscopy: a review of statistical calibration strategies for carbonaceous aerosol quantification in US measurement networks. Atmospheric Measurement Techniques 12:1, pages 525-567.
Crossref
Pierre Lafaye de Micheaux, Benoît Liquet & Matthew Sutton. (2019) PLS for Big Data: A unified parallel algorithm for regularised group PLS. Statistics Surveys 13:none.
Crossref
Benjamin Blonder, Brian J. Enquist, Bente J. Graae, Jens Kattge, Brian S. Maitner, Naia Morueta‐Holme, Alejandro Ordonez, Irena Šímová, Joy Singarayer, Jens‐Christian Svenning, Paul J. Valdes & Cyrille Violle. (2018) Late Quaternary climate legacies in contemporary plant functional composition. Global Change Biology 24:10, pages 4827-4840.
Crossref
Inge Svein Helland, Solve Saebø, Trygve Almøy & Raju Rimal. (2018) Model and estimators for partial least squares regression. Journal of Chemometrics 32:9, pages e3044.
Crossref
Bo Lu & Leo Chiang. (2018) Semi-supervised online soft sensor maintenance experiences in the chemical industry. Journal of Process Control 67, pages 23-34.
Crossref
Jisu Yoon & Stephan Klasen. (2017) An Application of Partial Least Squares to the Construction of the Social Institutions and Gender Index (SIGI) and the Corruption Perception Index (CPI). Social Indicators Research 138:1, pages 61-88.
Crossref
Jong-Min Kim & Hojin Jung. (2018) Time series forecasting using functional partial least square regression with stochastic volatility, GARCH, and exponential smoothing. Journal of Forecasting 37:3, pages 269-280.
Crossref
Peng Xu, Qiyue Yin, Yongye Huang, Yi-Zhe Song, Zhanyu Ma, Liang Wang, Tao Xiang, W. Bastiaan Kleijn & Jun Guo. (2018) Cross-modal subspace learning for fine-grained sketch-based image retrieval. Neurocomputing 278, pages 75-86.
Crossref
Geert Gins, Jan F.M. Van Impe & Marco S. Reis. (2018) Finding the optimal time resolution for batch-end quality prediction: MRQP – A framework for multi-resolution quality prediction. Chemometrics and Intelligent Laboratory Systems 172, pages 150-158.
Crossref
Florian Rohart, Benoît Gautier, Amrit Singh & Kim-Anh Lê Cao. (2017) mixOmics: An R package for ‘omics feature selection and multiple data integration. PLOS Computational Biology 13:11, pages e1005752.
Crossref
Hiroshi Ohno. (2017) Linear guided autoencoder: Representation learning with linearity. Applied Soft Computing 55, pages 566-575.
Crossref
Jérémy Magnanensi, Frédéric Bertrand, Myriam Maumy-Bertrand & Nicolas Meyer. (2016) A new universal resample-stable bootstrap-based stopping criterion for PLS component construction. Statistics and Computing 27:3, pages 757-774.
Crossref
Manuel Febrero-Bande, Pedro Galeano & Wenceslao González-Manteiga. (2017) Functional Principal Component Regression and Functional Partial Least-squares Regression: An Overview and a Comparative Study. International Statistical Review 85:1, pages 61-83.
Crossref
Behrang Asadi, Mano Ram Maurya, Daniel M. Tartakovsky & Shankar Subramaniam. (2017) Doubly Penalized LASSO for Reconstruction of Biological Networks. Proceedings of the IEEE 105:2, pages 319-329.
Crossref
Fernanda Gomes da Silveira, Darlene Ana Souza Duarte, Lucas Monteiro Chaves, Fabyano Fonseca e Silva, Ivan Carvalho Filho, Marcio de Souza Duarte, Paulo Sávio Lopes & Simone Eliza Facioni Guimarães. (2017) The optimal number of partial least squares components in genomic selection for pork pH. Ciência Rural 47:1.
Crossref
Ondřej Mikula, Radim Šumbera, Tatiana Aghová, Judith S. Mbau, Abdul S. Katakweba, Christopher A. Sabuni & Josef Bryja. (2016) Evolutionary history and species diversity of African pouched mice (Rodentia: Nesomyidae: Saccostomus ) . Zoologica Scripta 45:6, pages 595-617.
Crossref
Jamie A. Dean, Kee H. Wong, Hiram Gay, Liam C. Welsh, Ann-Britt Jones, Ulrike Schick, Jung Hun Oh, Aditya Apte, Kate L. Newbold, Shreerang A. Bhide, Kevin J. Harrington, Joseph O. Deasy, Christopher M. Nutting & Sarah L. Gulliford. (2016) Functional Data Analysis Applied to Modeling of Severe Acute Mucositis and Dysphagia Resulting From Head and Neck Radiation Therapy. International Journal of Radiation Oncology*Biology*Physics 96:4, pages 820-831.
Crossref
Alessandro Girardi, Barbara Guardabascio & Marco Ventura. (2016) Factor-Augmented Bridge Models (FABM) and Soft Indicators to Forecast Italian Industrial Production. Journal of Forecasting 35:6, pages 542-552.
Crossref
Michael Schindler. (2016) A QSAR for the prediction of rate constants for the reaction of VOCs with nitrate radicals. Chemosphere 154, pages 23-33.
Crossref
Jérémy Magnanensi, Myriam Maumy-Bertrand, Nicolas Meyer & Frédéric Bertrand. 2016. The Multiple Facets of Partial Least Squares and Related Methods. The Multiple Facets of Partial Least Squares and Related Methods 239 250 .
Bryan Kelly & Seth Pruitt. (2015) The three-pass regression filter: A new approach to forecasting using many predictors. Journal of Econometrics 186:2, pages 294-316.
Crossref
Johannes Morfeldt, Semida Silveira, Tomas Hirsch, Susanne Lindqvist, Alena Nordqvist, Jan Pettersson & Magnus Pettersson. (2014) Economic and operational factors in energy and climate indicators for the steel industry. Energy Efficiency 8:3, pages 473-492.
Crossref
Pierantonio Facco, Filippo Dal Pastro, Natascia Meneghetti, Fabrizio Bezzo & Massimiliano Barolo. (2015) Bracketing the Design Space within the Knowledge Space in Pharmaceutical Product Development. Industrial & Engineering Chemistry Research 54:18, pages 5128-5138.
Crossref
Lars Eldén. (2015) Computing Frechet derivatives in partial least squares regression. Linear Algebra and its Applications 473, pages 316-338.
Crossref
Mohammad Goodarzi, Sandeep Sharma, Herman Ramon & Wouter Saeys. (2015) Multivariate calibration of NIR spectroscopic sensors for continuous glucose monitoring. TrAC Trends in Analytical Chemistry 67, pages 147-158.
Crossref
Christos Dadousis, Roel F Veerkamp, Bjørg Heringstad, Marcin Pszczola & Mario PL Calus. (2014) A comparison of principal component regression and genomic REML for genomic prediction across populations. Genetics Selection Evolution 46:1.
Crossref
S. Kaufman & S. Rosset. (2014) When does more regularization imply fewer degrees of freedom? Sufficient conditions and counterexamples. Biometrika 101:4, pages 771-784.
Crossref
Bo Lu, John Stuber & Thomas F. Edgar. (2013) Integrated Online Virtual Metrology and Fault Detection in Plasma Etch Tools. Industrial & Engineering Chemistry Research 53:13, pages 5172-5181.
Crossref
S. Orlandini, B. Pasquini, M. Stocchero, S. Pinzauti & S. Furlanetto. (2014) An integrated quality by design and mixture-process variable approach in the development of a capillary electrophoresis method for the analysis of almotriptan and its impurities. Journal of Chromatography A 1339, pages 200-209.
Crossref
Ching Siang Tan, Wai Soon Ting, Mohd Saberi Mohamad, Weng Howe Chan, Safaai Deris & Zuraini Ali Shah. (2014) A Review of Feature Extraction Software for Microarray Gene Expression Data. BioMed Research International 2014, pages 1-15.
Crossref
Josef Bryja, Ondřej Mikula, Hana Patzenhauerová, Nicholas O. Oguge, Radim Šumbera & Erik Verheyen. (2014) The role of dispersal and vicariance in the Pleistocene history of an East African mountain rodent, Praomys delectorum . Journal of Biogeography 41:1, pages 196-208.
Crossref
Reynald Lescarbeau & David L. Kaplan. (2014) Correlating phosphoproteomic signaling with castration resistant prostate cancer survival through regression analysis. Mol. BioSyst. 10:3, pages 605-612.
Crossref
Francisco A.A. Souza & Rui Araújo. (2014) Mixture of partial least squares experts and application in prediction settings with multiple operating modes. Chemometrics and Intelligent Laboratory Systems 130, pages 192-202.
Crossref
Dave Plaehn. (2013) What’s the real penalty in penalty analysis?. Food Quality and Preference 28:2, pages 456-469.
Crossref
Vincenzo Esposito Vinzi & Giorgio Russolillo. (2013) Partial least squares algorithms and methods. Wiley Interdisciplinary Reviews: Computational Statistics 5:1, pages 1-19.
Crossref
INGE S. HELLAND, SOLVE SAEBØ & HA˚KON TJELMELAND. (2012) Near Optimal Prediction from Relevant Components. Scandinavian Journal of Statistics 39:4, pages 695-713.
Crossref
Sahar Hassani, Harald Martens, El Mostafa Qannari & Achim Kohler. (2012) Degrees of freedom estimation in Principal Component Analysis and Consensus Principal Component Analysis. Chemometrics and Intelligent Laboratory Systems 118, pages 246-259.
Crossref
Yu-Kang Tu, Nicole Krämer & Wen-Chung Lee. (2012) Addressing the Identification Problem in Age-period-cohort Analysis. Epidemiology 23:4, pages 583-593.
Crossref
Aurore Delaigle & Peter Hall. (2012) Methodology and theory for partial least squares applied to functional data. The Annals of Statistics 40:1.
Crossref
Zhenping Wang. (2020) Cross-Predictability of Earnings and Stock Returns: A Latent Factor Approach. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.