{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T07:27:46Z","timestamp":1778225266804,"version":"3.51.4"},"reference-count":41,"publisher":"Elsevier BV","issue":"9","license":[{"start":{"date-parts":[[2001,9,1]],"date-time":"2001-09-01T00:00:00Z","timestamp":999302400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Signal Processing"],"published-print":{"date-parts":[[2001,9]]},"DOI":"10.1016\/s0165-1684(01)00064-0","type":"journal-article","created":{"date-parts":[[2002,10,31]],"date-time":"2002-10-31T21:12:04Z","timestamp":1036098724000},"page":"1849-1864","source":"Crossref","is-referenced-by-count":45,"title":["Backward sequential elimination for sparse vector subset selection"],"prefix":"10.1016","volume":"81","author":[{"given":"S.F.","family":"Cotter","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Kreutz-Delgado","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.D.","family":"Rao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0165-1684(01)00064-0_BIB1","doi-asserted-by":"crossref","unstructured":"J. Adler, B.D. Rao, K. Kreutz-Delgado, Comparison of basis selection methods, 30th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, (1), November 1996, pp. 252\u2013257.","DOI":"10.1109\/ACSSC.1996.600867"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB2","doi-asserted-by":"crossref","unstructured":"B.S. Atal, J.R. Remde, A new model of LPC excitation for producing natural-sounding speech at low bit rates, Proceedings of the International Conference on Acoustics, Speech and Signal Processing, ICASSP\u201982, May 1982, Paris, pp. 614\u2013617.","DOI":"10.1109\/ICASSP.1982.1171649"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB3","doi-asserted-by":"crossref","unstructured":"F. Bergeaud, S. Mallat, Matching pursuit of images, Proceedings of International Conference on Image Processing, Los Alamitos, CA, USA, October 1995, pp. 53\u201366.","DOI":"10.1109\/ICIP.1995.529037"},{"issue":"4","key":"10.1016\/S0165-1684(01)00064-0_BIB4","doi-asserted-by":"crossref","first-page":"842","DOI":"10.1109\/78.80906","article-title":"Extrapolation and spectral estimation with iterative weighted norm modification","volume":"39","author":"Cabrera","year":"1991","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB5","series-title":"Generalized Inverses of Linear Transformations","author":"Campbell","year":"1991"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB6","doi-asserted-by":"crossref","unstructured":"S. Chen, D. Donoho, Basis pursuit, 28th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, (1), November 1994, pp. 41\u201344.","DOI":"10.1109\/ACSSC.1994.471413"},{"issue":"1","key":"10.1016\/S0165-1684(01)00064-0_BIB7","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1137\/S1064827596304010","article-title":"Atomic decomposition by basis pursuit","volume":"20","author":"Chen","year":"1998","journal-title":"SIAM J. Sci. Comput."},{"issue":"7","key":"10.1016\/S0165-1684(01)00064-0_BIB8","doi-asserted-by":"crossref","first-page":"1713","DOI":"10.1109\/78.398734","article-title":"Fast orthogonal least squares algorithm for efficient subset model selection","volume":"43","author":"Chen","year":"1995","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"1","key":"10.1016\/S0165-1684(01)00064-0_BIB9","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1109\/78.365331","article-title":"Efficient computational schemes for the orthogonal least squares learning algorithm","volume":"43","author":"Cheng","year":"1995","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB10","doi-asserted-by":"crossref","unstructured":"S.F. Cotter, M.N. Murthi, B.D. Rao, Fast basis selection methods, 31st Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, (2), November 1997, pp. 1474\u20131478.","DOI":"10.1109\/ACSSC.1997.679149"},{"issue":"3","key":"10.1016\/S0165-1684(01)00064-0_BIB11","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1137\/S0895479898332928","article-title":"On the optimality of the backward greedy algorithm for the subset selection problem","volume":"21","author":"Couvreur","year":"1999","journal-title":"SIAM J. Matrix Anal. Applications"},{"issue":"7","key":"10.1016\/S0165-1684(01)00064-0_BIB12","doi-asserted-by":"crossref","first-page":"2183","DOI":"10.1117\/12.173207","article-title":"Adaptive time-frequency decompositions","volume":"33","author":"Davis","year":"1994","journal-title":"Opt. Eng."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB13","series-title":"Mathematics for Econometrics","author":"Dhrymes","year":"1984"},{"issue":"7","key":"10.1016\/S0165-1684(01)00064-0_BIB14","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1109\/TCS.1979.1084676","article-title":"Automatic test generation techniques for analog circuits and systems: a review","volume":"26","author":"Duhamel","year":"1979","journal-title":"IEEE Trans. Circuits Systems"},{"issue":"4","key":"10.1016\/S0165-1684(01)00064-0_BIB15","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1162\/neco.1994.6.4.559","article-title":"What is the goal of sensory coding","volume":"6","author":"Field","year":"1994","journal-title":"Neural Comput."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB16","doi-asserted-by":"crossref","first-page":"817","DOI":"10.2307\/2287576","article-title":"Projection pursuit regression","volume":"76","author":"Friedman","year":"1981","journal-title":"J. Amer. Statist. Assoc."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB17","series-title":"Matrix Computations","author":"Golub","year":"1989"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB18","doi-asserted-by":"crossref","unstructured":"M. Goodwin, M. Vetterli, Atomic decompositions of audio signals, Proceedings of Workshop on Applications of Signal Processing to Audio and Acoustics, October 1997, New York, USA, pp. 4\u20137.","DOI":"10.1109\/ASPAA.1997.625601"},{"issue":"4","key":"10.1016\/S0165-1684(01)00064-0_BIB19","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/0013-4694(95)00107-A","article-title":"Neuromagnetic source imaging with FOCUSS: a recursive weighted minimum norm algorithm","volume":"95","author":"Gorodnitsky","year":"1995","journal-title":"J. Electroencephalography Clin. Neurophysio."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB20","doi-asserted-by":"crossref","unstructured":"I.F. Gorodnitsky, B.D. Rao, A recursive weighted minimum-norm algorithm: analysis and applications, Proceedings of the International Conference on Acoustics, Speech and Signal Processing, ICASSP \u201993, Minneapolis, MN, USA, (3), April 1993, pp. 456\u2013459.","DOI":"10.1109\/ICASSP.1993.319533"},{"issue":"3","key":"10.1016\/S0165-1684(01)00064-0_BIB21","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/78.558475","article-title":"Sparse signal reconstructions from limited data using FOCUSS: a re-weighted minimum norm algorithm","volume":"45","author":"Gorodnitsky","year":"1997","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB22","doi-asserted-by":"crossref","unstructured":"R. Gribonval, E. Bacry, S. Mallat, P.R. Depalle, X. Rodet, Analysis of sound signals with high resolution matching pursuit, Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis, TFTS-96, June 1996, Paris, pp. 125\u2013128.","DOI":"10.1109\/TFSA.1996.546702"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB23","doi-asserted-by":"crossref","unstructured":"G. Harikumar, C. Couvreur, Y. Bresler, Fast optimal and suboptimal algorithms for sparse solutions to linear inverse problems, Proceedings of the International Conference on Acoustics, Speech and Signal Processing, ICASSP\u201998, Seattle, WA, USA, (III), May 1998, pp. 1877\u20131880.","DOI":"10.1109\/ICASSP.1998.681830"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB24","doi-asserted-by":"crossref","first-page":"531","DOI":"10.2307\/1266192","article-title":"Selection of the best subset in regression analysis","volume":"9","author":"Hocking","year":"1967","journal-title":"Technometrics"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB25","unstructured":"K. Kreutz-Delgado, B.D. Rao, A general approach to sparse basis selection: majorization, concavity, and affine scaling, Center For Information Engineering Report No. UCSD-CIE-97-7-1, ECE Department, UC San Diego. URL: http:\/\/raman.ucsd.edu, July, 1997."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB26","doi-asserted-by":"crossref","unstructured":"K. Kreutz-Delgado, B.D. Rao, Sparse basis selection, ICA, and majorization: towards a unified perspective, Proceedings of the International Conference on Acoustics, Speech and Signal Processing, ICASSP\u201999, Phoenix, AZ, USA, Vol. 2, pp. 1081\u20131084.","DOI":"10.1109\/ICASSP.1999.759931"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB27","unstructured":"K. Kreutz-Delgado, et al., Convex\/Schur\u2013Convex (CSC) log-priors and sparse coding, Proceedings of the 6th Joint Symposium on Neural Computation, Pasadena, CA, USA, May 1999."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB28","doi-asserted-by":"crossref","first-page":"83","DOI":"10.2307\/1267353","article-title":"Computational efficiency in the selection of regression variables","volume":"12","author":"LaMotte","year":"1970","journal-title":"Technometrics"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB29","doi-asserted-by":"crossref","unstructured":"H. Lee, D.P. Sullivan, T.H. Huang, Improvement of discrete band-limited signal extrapolation by iterative subspace modification, Proceedings of the International Conference on Acoustics, Speech and Signal Processing, ICASSP\u201987, Dallas, TX, USA, (3), April 1987, pp. 1569\u20131572.","DOI":"10.1109\/ICASSP.1987.1169486"},{"issue":"12","key":"10.1016\/S0165-1684(01)00064-0_BIB30","doi-asserted-by":"crossref","first-page":"3397","DOI":"10.1109\/78.258082","article-title":"Matching pursuits with time-frequency dictionaries","volume":"41","author":"Mallat","year":"1993","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0165-1684(01)00064-0_BIB31","series-title":"Subset Selection in Regression","author":"Miller","year":"1990"},{"issue":"2","key":"10.1016\/S0165-1684(01)00064-0_BIB32","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1137\/S0097539792240406","article-title":"Sparse approximate solutions to linear systems","volume":"24","author":"Natarajan","year":"1995","journal-title":"SIAM J. Comput."},{"issue":"1","key":"10.1016\/S0165-1684(01)00064-0_BIB33","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1109\/76.554427","article-title":"Very low bit-rate video coding based on matching pursuits","volume":"7","author":"Neff","year":"1997","journal-title":"IEEE Trans. Circuits Systems Video Technol."},{"issue":"6583","key":"10.1016\/S0165-1684(01)00064-0_BIB34","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":"10.1016\/S0165-1684(01)00064-0_BIB35","doi-asserted-by":"crossref","unstructured":"Y.C. Pati, R. Rezaiifar, P.S. Krishnaprasad, Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition, 27th Asilomar Conference on Signal, Systems, and Computers, Pacific Grove, CA, USA, (1), November 1993, pp. 40\u201344.","DOI":"10.1109\/ACSSC.1993.342465"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB36","doi-asserted-by":"crossref","unstructured":"H.R. Rabiee, R.L. Kashyap, S.R. Safavian, Adaptive multiresolution image coding with matching and basis pursuits, Proceedings of International Conference on Image Processing, Lausanne, Switzerland, (1), September 1996, pp. 273\u2013276.","DOI":"10.1109\/ICIP.1996.559486"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB37","series-title":"Predictability of Complex Dynamical Systems","article-title":"The application of waveform dictionaries to stock market index data","author":"Ramsey","year":"1996"},{"key":"10.1016\/S0165-1684(01)00064-0_BIB38","doi-asserted-by":"crossref","unstructured":"B.D. Rao, Signal processing with the sparseness constraint, Proceedings of the International Conference on Acoustics, Speech and Signal Processing, ICASSP\u201998, Seattle, WA, USA, (III), May 1998, pp. 1861\u20131864.","DOI":"10.1109\/ICASSP.1998.681826"},{"issue":"1","key":"10.1016\/S0165-1684(01)00064-0_BIB39","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1109\/78.738251","article-title":"An affine scaling methodology for best basis selection","volume":"47","author":"Rao","year":"1999","journal-title":"IEEE Trans. Signal Process."},{"issue":"10","key":"10.1016\/S0165-1684(01)00064-0_BIB40","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1109\/97.789606","article-title":"An efficient implementation of the backward greedy algorithm for sparse signal reconstruction","volume":"6","author":"Reeves","year":"1999","journal-title":"IEEE Signal Process. Lett."},{"issue":"3","key":"10.1016\/S0165-1684(01)00064-0_BIB41","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1109\/29.21700","article-title":"Amplitude optimization and pitch prediction in multipulse coders","volume":"37","author":"Singhal","year":"1989","journal-title":"IEEE Trans. Acoust. Speech Signal Process."}],"container-title":["Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168401000640?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168401000640?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,12,4]],"date-time":"2024-12-04T15:20:43Z","timestamp":1733325643000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165168401000640"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,9]]},"references-count":41,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2001,9]]}},"alternative-id":["S0165168401000640"],"URL":"https:\/\/doi.org\/10.1016\/s0165-1684(01)00064-0","relation":{},"ISSN":["0165-1684"],"issn-type":[{"value":"0165-1684","type":"print"}],"subject":[],"published":{"date-parts":[[2001,9]]}}}