{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,10]],"date-time":"2026-10-10T13:59:47Z","timestamp":1791640787557,"version":"4.3.4"},"reference-count":27,"publisher":"Oxford University Press (OUP)","issue":"5","license":[{"start":{"date-parts":[[2023,3,29]],"date-time":"2023-03-29T00:00:00Z","timestamp":1680048000000},"content-version":"vor","delay-in-days":4909,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-0625879"],"award-info":[{"award-number":["CCF-0625879"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,11,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>We present a new class of methods for high dimensional non-parametric regression and classification called sparse additive models. Our methods combine ideas from sparse linear modelling and additive non-parametric regression. We derive an algorithm for fitting the models that is practical and effective even when the number of covariates is larger than the sample size. Sparse additive models are essentially a functional version of the grouped lasso of Yuan and Lin. They are also closely related to the COSSO model of Lin and Zhang but decouple smoothing and sparsity, enabling the use of arbitrary non-parametric smoothers. We give an analysis of the theoretical properties of sparse additive models and present empirical results on synthetic and real data, showing that they can be effective in fitting sparse non-parametric models in high dimensional data.<\/jats:p>","DOI":"10.1111\/j.1467-9868.2009.00718.x","type":"journal-article","created":{"date-parts":[[2009,10,19]],"date-time":"2009-10-19T09:57:50Z","timestamp":1255946270000},"page":"1009-1030","source":"Crossref","is-referenced-by-count":363,"title":["Sparse Additive Models"],"prefix":"10.1093","volume":"71","author":[{"given":"Pradeep","family":"Ravikumar","sequence":"first","affiliation":[{"name":"University of California , Berkeley , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"John","family":"Lafferty","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University , Pittsburgh , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Han","family":"Liu","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University , Pittsburgh , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Larry","family":"Wasserman","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University , Pittsburgh , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2009,10,19]]},"reference":[{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1198\/016214501753208942","article-title":"Regularized wavelet approximations (with discussion)","volume":"96","author":"Antoniadis","year":"2001","journal-title":"J. Am. Statist. Ass."},{"key":"2023033000111022800_","first-page":"453","article-title":"Linear smoothers and additive models","volume":"17","author":"Buja","year":"1989","journal-title":"Ann. Statist."},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1214\/07-EJS008","article-title":"Sparsity oracle inequalities for the lasso","volume":"1","author":"Bunea","year":"2007","journal-title":"Electron. J. Statist."},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1002\/cpa.20042","article-title":"An iterative thresholding algorithm for linear inverse problems","volume":"57","author":"Daubechies","year":"2004","journal-title":"Communs Pure Appl. Math."},{"key":"2023033000111022800_","volume-title":"Accelerated projected gradient method for linear inverse problems with sparsity constraints","author":"Daubechies","year":"2007"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1198\/016214504000001439","article-title":"Nonparametric inference for additive models","volume":"100","author":"Fan","year":"2005","journal-title":"J. Am. Statist. Ass."},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"1348","DOI":"10.1198\/016214501753382273","article-title":"Variable selection via penalized likelihood","volume":"96","author":"Fan","year":"2001","journal-title":"J. Am. Statist. Ass."},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"971","DOI":"10.3150\/bj\/1106314846","article-title":"Persistency in high dimensional linear predictor-selection and the virtue of over-parametrization","volume":"10","author":"Greenshtein","year":"2004","journal-title":"Bernoulli"},{"key":"2023033000111022800_","volume-title":"Generalized Additive Models","author":"Hastie","year":"1999"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1214\/aos\/1015951994","article-title":"Functional aggregation for nonparametric regression","volume":"28","author":"Juditsky","year":"2000","journal-title":"Ann. Statist."},{"key":"2023033000111022800_","first-page":"229","volume-title":"Proc. 21st A. Conf. Learning Theory","author":"Koltchinskii","year":"2008"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-20212-4","volume-title":"Probability in Banach Spaces: Isoperimetry and Processes","author":"Ledoux","year":"1991"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"2272","DOI":"10.1214\/009053606000000722","article-title":"Component selection and smoothing in multivariate nonparametric regression","volume":"34","author":"Lin","year":"2006","journal-title":"Ann. Statist."},{"key":"2023033000111022800_","volume-title":"High-dimensional additive modelling","author":"Meier","year":"2008"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"1436","DOI":"10.1214\/009053606000000281","article-title":"High dimensional graphs and variable selection with the lasso","volume":"34","author":"Meinshausen","year":"2006","journal-title":"Ann. Statist."},{"key":"2023033000111022800_","doi-asserted-by":"crossref","DOI":"10.21236\/ADA472998","volume-title":"Lasso-type recovery of sparse representations for high-dimensional data","author":"Meinshausen","year":"2006"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1038\/381607a0","article-title":"Emergence of simple-cell receptive field properties by learning a sparse code for natural images","volume":"381","author":"Olshausen","year":"1996","journal-title":"Nature"},{"key":"2023033000111022800_","first-page":"1201","volume-title":"Advances in Neural Information Processing Systems","author":"Ravikumar","year":"2008"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","article-title":"Regression shrinkage and selection via the lasso","volume":"58","author":"Tibshirani","year":"1996","journal-title":"J. R. Statist. Soc. B"},{"key":"2023033000111022800_","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511802256","volume-title":"Asymptotic Statistics","author":"Van Der Vaart","year":"1998"},{"key":"2023033000111022800_","volume-title":"Sharp thresholds for high-dimensional and noisy recovery of sparsity","author":"Wainwright","year":"2006"},{"key":"2023033000111022800_","first-page":"1465","volume-title":"Advances in Neural Information Processing Systems","author":"Wainwright","year":"2007"},{"key":"2023033000111022800_","volume-title":"Multi-stage variable selection: screen and clean","author":"Wasserman","year":"2007"},{"key":"2023033000111022800_","article-title":"Nonnegative garrote component selection in functional ANOVA models","author":"Yuan","year":"2007","journal-title":"Proc. Artif. Intell. Statist."},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1111\/j.1467-9868.2005.00532.x","article-title":"Model selection and estimation in regression with grouped variables","volume":"68","author":"Yuan","year":"2006","journal-title":"J. R. Statist. Soc. B"},{"key":"2023033000111022800_","first-page":"2541","article-title":"On model selection consistency of lasso","volume":"7","author":"Zhao","year":"2007","journal-title":"J. Mach. Learn. Res."},{"key":"2023033000111022800_","doi-asserted-by":"crossref","first-page":"1418","DOI":"10.1198\/016214506000000735","article-title":"The adaptive lasso and its oracle properties","volume":"101","author":"Zou","year":"2005","journal-title":"J. Am. Statist. Ass."}],"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2Fj.1467-9868.2009.00718.x","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/71\/5\/1009\/49686466\/jrsssb_71_5_1009.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/71\/5\/1009\/49686466\/jrsssb_71_5_1009.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,12]],"date-time":"2025-02-12T20:38:33Z","timestamp":1739392713000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/71\/5\/1009\/7092930"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10,19]]},"references-count":27,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2009,10,19]]},"published-print":{"date-parts":[[2009,11,1]]}},"URL":"https:\/\/doi.org\/10.1111\/j.1467-9868.2009.00718.x","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2009,11]]},"published":{"date-parts":[[2009,10,19]]}}}