{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T03:13:17Z","timestamp":1743131597700,"version":"3.40.3"},"publisher-location":"Cham","reference-count":27,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319700861"},{"type":"electronic","value":"9783319700878"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-70087-8_2","type":"book-chapter","created":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T21:10:19Z","timestamp":1508793019000},"page":"13-23","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Adaptive $$L_p$$ $$(0<p<1)$$ Regularization: Oracle Property and Applications"],"prefix":"10.1007","author":[{"given":"Yunxiao","family":"Shi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiangnan","family":"He","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Han","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhong-Xiao","family":"Jin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenlian","family":"Lu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"key":"2_CR1","doi-asserted-by":"publisher","first-page":"1348","DOI":"10.1198\/016214501753382273","volume":"96","author":"JQ Fan","year":"2001","unstructured":"Fan, J.Q., Li, R.: Variable selection via nonconcave penalized likelihood and its oracle properties. J. Am. Stat. Assoc. 96, 1348\u20131360 (2001)","journal-title":"J. Am. Stat. Assoc."},{"key":"2_CR2","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","volume":"52","author":"DL Donoho","year":"2006","unstructured":"Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 52, 1289\u20131306 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"2_CR3","doi-asserted-by":"publisher","first-page":"1207","DOI":"10.1002\/cpa.20124","volume":"59","author":"EJ Candes","year":"2006","unstructured":"Candes, E.J., Romberg, J., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Comm. Pure. Appl. Math. 59, 1207\u20131223 (2006)","journal-title":"Comm. Pure. Appl. Math."},{"key":"2_CR4","unstructured":"Donoho, D.L.: Neighbourly polytypes and the sparse solution of under-determined systems of linear equations. IEEE Trans. Inf. Theory (2005, to appear)"},{"key":"2_CR5","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1007\/s00454-005-1220-0","volume":"35","author":"DL Donoho","year":"2006","unstructured":"Donoho, D.L.: High-dimensional centrally symmetric polytypes with neighbour proportional to dimension. Discrete Comput. Geom. 35, 617\u2013652 (2006)","journal-title":"Discrete Comput. Geom."},{"key":"2_CR6","doi-asserted-by":"publisher","first-page":"1418","DOI":"10.1198\/016214506000000735","volume":"101","author":"H Zou","year":"2006","unstructured":"Zou, H.: The adaptive lasso and its oracle properties. J. Am. Stat. Assoc. 101, 1418\u20131429 (2006)","journal-title":"J. Am. Stat. Assoc."},{"key":"2_CR7","doi-asserted-by":"publisher","first-page":"1356","DOI":"10.1214\/aos\/1015957397","volume":"28","author":"K Knight","year":"2000","unstructured":"Knight, K., Fu, W.: Asymptotics for Lasso-type estimators. Ann. Stat. 28, 1356\u20131378 (2000)","journal-title":"Ann. Stat."},{"key":"2_CR8","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1214\/009053607000000875","volume":"36","author":"J Huang","year":"2008","unstructured":"Huang, J., Horowitz, J., Ma, S.: Asymptotic properties for bridge estimators in sparse high-dimensional regression models. Ann. Stat. 36, 587\u2013613 (2008)","journal-title":"Ann. Stat."},{"key":"2_CR9","unstructured":"He, X.N., Lu, W.L., Chen, T.P.: A note on adaptive $$L_p$$ regularization. In: The 2012 International Joint Conference on Neural Networks (2012)"},{"key":"2_CR10","doi-asserted-by":"publisher","first-page":"246","DOI":"10.1214\/07-AOS582","volume":"37","author":"N Meinshausen","year":"2009","unstructured":"Meinshausen, N., Yu, B.: Lasso-type recovery of sparse representations for high-dimensional data. Ann. Stat. 37, 246\u2013270 (2009)","journal-title":"Ann. Stat."},{"key":"2_CR11","first-page":"1603","volume":"18","author":"J Huang","year":"2008","unstructured":"Huang, J., Ma, S., Zhang, C.: Adaptive lasso for sparse high dimensional regression models. Stat. Sinica 18, 1603\u20131618 (2008)","journal-title":"Stat. Sinica"},{"key":"2_CR12","doi-asserted-by":"publisher","first-page":"1159","DOI":"10.1007\/s11432-010-0090-0","volume":"53","author":"ZB Xu","year":"2010","unstructured":"Xu, Z.B., et al.: $$L_{1\/2}$$ regularization. SCIENCE CHINA-Inf. Sci. 53, 1159\u20131169 (2010)","journal-title":"SCIENCE CHINA-Inf. Sci."},{"key":"2_CR13","doi-asserted-by":"publisher","first-page":"1013","DOI":"10.1109\/TNNLS.2012.2197412","volume":"23","author":"ZB Xu","year":"2012","unstructured":"Xu, Z.B., et al.: $$L_{1\/2}$$ regularization: a thresholding representation theory and a fast solver. IEEE Trans. Neural Netw. Learn. Syst. 23, 1013\u20131027 (2012)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"2_CR14","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1007\/978-1-4757-2545-2_3","volume-title":"Weak Convergence and Empirical Processes","author":"AW Vaart","year":"1996","unstructured":"Vaart, A.W., Wellner, J.A.: Weak Convergence and Empirical Processes, pp. 16\u201328. Springer, New York (1996)"},{"key":"2_CR15","unstructured":"Marial, J.: SPArse Modeling Software: an optimization toolbox for solving various sparse estimation problems. http:\/\/spams-devel.gforge.inria.fr\/"},{"key":"2_CR16","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","volume":"58","author":"R Tibshirani","year":"1996","unstructured":"Tibshirani, R.: Regression shrinkage and selection via the Lasso. J. R. Stat. Soc. Series B (Methodological) 58, 267\u2013288 (1996)","journal-title":"J. R. Stat. Soc. Series B (Methodological)"},{"key":"2_CR17","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/BF01404567","volume":"31","author":"C Peter","year":"1978","unstructured":"Peter, C., Grace, W.: Smoothing noisy data with spline functions. Numer. Math. 31, 377\u2013403 (1978)","journal-title":"Numer. Math."},{"key":"2_CR18","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1137\/S1064827596304010","volume":"20","author":"S Chen","year":"1998","unstructured":"Chen, S., Donoho, D.L., Saunders, M.: Atomic decomposition by basis pursuit. SIAM J. Sci. Comput. 20, 33\u201361 (1998)","journal-title":"SIAM J. Sci. Comput."},{"key":"2_CR19","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1109\/TIT.2005.862083","volume":"52","author":"EJ Candes","year":"2006","unstructured":"Candes, E.J., Romberg, J., Tao, T.: Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52, 489\u2013509 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"2_CR20","doi-asserted-by":"publisher","first-page":"5406","DOI":"10.1109\/TIT.2006.885507","volume":"52","author":"EJ Candes","year":"2006","unstructured":"Candes, E.J., Tao, T.: Near-optimal signal recovery from random projections: universal encoding strategies? IEEE Trans. Inf. Theory 52, 5406\u20135425 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"2_CR21","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1016\/j.crma.2008.03.014","volume":"346","author":"EJ Candes","year":"2006","unstructured":"Candes, E.J.: The restricted isometry property and its application for compressed sensing. C.R. Math. 346, 589\u2013592 (2006)","journal-title":"C.R. Math."},{"key":"2_CR22","doi-asserted-by":"publisher","first-page":"877","DOI":"10.1007\/s00041-008-9045-x","volume":"14","author":"EJ Candes","year":"2008","unstructured":"Candes, E.J., Wakin, M.B., Boyd, S.P.: Enhancing sparsity by reweighted $$\\ell $$1 minimization. J. Fourier Anal. Appl. 14, 877\u2013905 (2008)","journal-title":"J. Fourier Anal. Appl."},{"key":"2_CR23","doi-asserted-by":"publisher","first-page":"4203","DOI":"10.1109\/TIT.2005.858979","volume":"51","author":"EJ Candes","year":"2005","unstructured":"Candes, E.J., Tao, T.: Decoding by linear programming. IEEE Trans. Inf. Theory 51, 4203\u20134215 (2005)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"2_CR24","first-page":"2825","volume":"12","author":"F Pedregosa","year":"2011","unstructured":"Pedregosa, F., et al.: Scikit-learn: machine learning in Python. J. Mach. Learn. Res. 12, 2825\u20132830 (2011)","journal-title":"J. Mach. Learn. Res."},{"key":"2_CR25","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z Wang","year":"2004","unstructured":"Wang, Z., et al.: Image quality assesment: From error visibility to structral similarity. IEEE Trans. Image Process. 13, 600\u2013612 (2004)","journal-title":"IEEE Trans. Image Process."},{"key":"2_CR26","unstructured":"Wang, Z., Simoncelli, E.P.: Multiscale structural similarity for image quality assessment. In: Conference Record of the Thirty-Seventh Asilomar Conference on Signals, Systems and Computers, pp. 1398\u20131402 (2004)"},{"key":"2_CR27","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1109\/MSP.2008.930649","volume":"26","author":"Z Wang","year":"2009","unstructured":"Wang, Z., Bovik, A.C.: Mean squared error: love it or leave it? - A new look at signal fidelity measures. IEEE Signal Process. Mag. 26, 98\u2013117 (2009)","journal-title":"IEEE Signal Process. Mag."}],"container-title":["Lecture Notes in Computer Science","Neural Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-70087-8_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T23:33:04Z","timestamp":1719531184000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-70087-8_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319700861","9783319700878"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-70087-8_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"24 October 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICONIP","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Neural Information Processing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Guangzhou","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 November 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"18 November 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iconip2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.iconip2017.org\/index.html","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}