Sparse modeling using orthogonal forward regression with PRESS statistic and regularization

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Sheng ChenP M Sharkey

Abstract

The paper introduces an efficient construction algorithm for obtaining sparse linear-in-the-weights regression models based on an approach of directly optimizing model generalization capability. This is achieved by utilizing the delete-1 cross validation concept and the associated leave-one-out test error also known as the predicted residual sums of squares (PRESS) statistic, without resorting to any other validation data set for model evaluation in the model construction process. Computational efficiency is ensured using an orthogonal forward regression, but the algorithm incrementally minimizes the PRESS statistic instead of the usual sum of the squared training errors. A local regularization method can naturally be incorporated into the model selection procedure to further enforce model sparsity. The proposed algorithm is fully automatic, and the user is not required to specify any criterion to terminate the model construction procedure. Comparisons with some of the existing state-of-art modeling methods are given, and several examples are included to demonstrate the ability of the proposed algorithm to effectively construct sparse models that generalize well.

References

May 22, 2002·Neural Computation·Gaétan Monari, Gérard Dreyfus
Jan 1, 1995·IEEE Transactions on Neural Networks·C Chinrungrueng, C H Sequin
Jan 1, 1991·IEEE Transactions on Neural Networks·S ChenP M Grant
Jan 1, 1990·IEEE Transactions on Neural Networks·K S Narendra, K Parthasarathy

❮ Previous
Next ❯

Citations

May 10, 2013·Photosynthesis Research·Elizabeth A AinsworthPhilip A Townsend
Apr 27, 2011·Ecological Applications : a Publication of the Ecological Society of America·Gregory P AsnerAriel E Lugo
Mar 28, 2009·Ecological Applications : a Publication of the Ecological Society of America·Gregory P AsnerMichael J Liddell
Mar 31, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Xingjian Jing
Aug 17, 2010·Neural Networks : the Official Journal of the International Neural Network Society·H L WeiL Z Guo
Nov 13, 2007·Neural Networks : the Official Journal of the International Neural Network Society·Stephen A BillingsMichael A Balikhin
Oct 26, 2012·IEEE Transactions on Cybernetics·Hao ChenXia Hong
Nov 13, 2008·IEEE Transactions on Neural Networks·Xia HongChris J Harris
Feb 7, 2007·IEEE Transactions on Neural Networks·Xia HongChris J Harris
Feb 14, 2008·IEEE Transactions on Neural Networks·Xia HongChris J Harris
May 19, 2009·IEEE Transactions on Neural Networks·M Bortman, M Aladjem
Sep 28, 2006·IEEE Transactions on Neural Networks·Jiang LiChanghua Yu
Oct 7, 2004·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Sheng ChenChris J Harris
Dec 7, 2007·IEEE Transactions on Neural Networks·John Y GoulermasPhil Cook
Dec 20, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Sheng ChenChris J Harris
Jan 9, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·John Y GoulermasJason F Ralph
Dec 11, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xia Hong, Sheng Chen
Mar 13, 2008·IEEE Transactions on Neural Networks·Chi-Sing Leung, John Pui-Fai Sum
May 10, 2008·IEEE Transactions on Neural Networks·Sheng ChenLajos Hanzo
Dec 17, 2009·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Sheng ChenChris J Harris
Aug 5, 2010·IEEE Transactions on Neural Networks·Chi Sing LeungJohn Sum
Feb 3, 2015·IEEE Transactions on Cybernetics·Xia HongChris J Harris
Jun 29, 2016·The New Phytologist·Gregory P AsnerYadvinder Malhi
Nov 4, 2015·IEEE Transactions on Cybernetics·Hao ChenSheng Chen
Nov 23, 2016·Ecological Applications : a Publication of the Ecological Society of America·Christopher S BalzottiAlan R Townsend
Dec 3, 2016·Ecological Applications : a Publication of the Ecological Society of America·T Trevor CaughlinStephanie A Bohlman
Oct 17, 2017·Tree Physiology·Lorenzo CotrozziPhilip A Townsend
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luis Antonio AguirreLeonardo Antônio B Tôrres
Jan 29, 2020·Current Medical Imaging Reviews·Leandro Morera DelfinOsslan Osiris Vergara Villegas
Aug 12, 2017·Water Science and Technology : a Journal of the International Association on Water Pollution Research·Alireza SharifiRasoul Mirabbasi
Feb 26, 2016·Ecological Applications : a Publication of the Ecological Society of America·Aditya SinghPhilip A Townsend
Jan 1, 2016·Ecological Applications : a Publication of the Ecological Society of America·Shawn P SerbinPhilip A Townsend
Aug 6, 2020·Molecules : a Journal of Synthetic Chemistry and Natural Product Chemistry·Eduardo D MunaizMichael J Havey
May 29, 2020·The New Phytologist·Zhihui WangPhilip A Townsend
Mar 12, 2021·Frontiers in Plant Science·Stien MertensNathalie Wuyts
Aug 27, 2017·Neural Networks : the Official Journal of the International Neural Network Society·Mohammad Bataineh, Timothy Marler

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Sheng ChenChris J Harris
IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Sheng ChenChris J Harris
© 2021 Meta ULC. All rights reserved