{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T13:01:17Z","timestamp":1791291677575,"version":"4.1.0"},"reference-count":24,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2014,7,18]],"date-time":"2014-07-18T00:00:00Z","timestamp":1405641600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100003977","name":"Israel Science Foundation","doi-asserted-by":"crossref","award":["ISF-820\/13"],"award-info":[{"award-number":["ISF-820\/13"]}],"id":[{"id":"10.13039\/501100003977","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,3,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>We consider estimation in a sparse additive regression model with the design points on a regular lattice. We establish the minimax convergence rates over Sobolev classes and propose a Fourier-based rate optimal estimator which is adaptive to the unknown sparsity and smoothness of the response function. The estimator is derived within a Bayesian formalism but can be naturally viewed as a penalized maximum likelihood estimator with the complexity penalties on the number of non-zero univariate additive components of the response and on the numbers of the non-zero coefficients of their Fourer expansions. We compare it with several existing counterparts and perform a short simulation study to demonstrate its performance.<\/jats:p>","DOI":"10.1111\/rssb.12075","type":"journal-article","created":{"date-parts":[[2014,7,18]],"date-time":"2014-07-18T07:14:33Z","timestamp":1405667673000},"page":"443-459","source":"Crossref","is-referenced-by-count":3,"title":["Sparse Additive Regression on a Regular Lattice"],"prefix":"10.1093","volume":"77","author":[{"given":"Felix","family":"Abramovich","sequence":"first","affiliation":[{"name":"Tel Aviv University \u00a0 Israel"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tal","family":"Lahav","sequence":"additional","affiliation":[{"name":"Tel Aviv University \u00a0 Israel"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2014,7,18]]},"reference":[{"key":"2023021709290832000_rssb12075-cit-0001","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1214\/10-EJS573","article-title":"MAP model selection in Gaussian regression","volume":"4","author":"Abramovich","year":"2010","journal-title":"Electron. 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