{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T23:45:02Z","timestamp":1777938302317,"version":"3.51.4"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T00:00:00Z","timestamp":1495065600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61473325"],"award-info":[{"award-number":["61473325"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. &amp; Cyber."],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1007\/s13042-017-0694-4","type":"journal-article","created":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T13:35:18Z","timestamp":1495114518000},"page":"15-26","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Reconstruction of sparse signals via neurodynamic optimization"],"prefix":"10.1007","volume":"10","author":[{"given":"Guocheng","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3368-2100","authenticated-orcid":false,"given":"Zheng","family":"Yan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,18]]},"reference":[{"issue":"3","key":"694_CR1","doi-asserted-by":"publisher","first-page":"969","DOI":"10.1088\/0266-5611\/23\/3\/008","volume":"23","author":"EJ Candes","year":"2007","unstructured":"Candes EJ, Romberg J (2007) Sparsity and incoherence in compressive sampling. Inverse Probl 23(3):969\u2013985","journal-title":"Inverse Probl"},{"key":"694_CR2","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1109\/MSP.2008.915557","volume":"25","author":"R Baraniuk","year":"2008","unstructured":"Baraniuk R (2008) Compressive sensing. IEEE Signal Process Mag 25:118\u2013120","journal-title":"IEEE Signal Process Mag"},{"issue":"2","key":"694_CR3","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1109\/TIT.2005.862083","volume":"52","author":"EJ Candes","year":"2006","unstructured":"Candes EJ, Romberg J, Tao T (2006) Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. Trans IEEE Inf Theory 52(2):489\u2013509","journal-title":"Trans IEEE Inf Theory"},{"issue":"6","key":"694_CR4","doi-asserted-by":"publisher","first-page":"1182","DOI":"10.1002\/mrm.21391","volume":"58","author":"M Lustig","year":"2007","unstructured":"Lustig M, Donoho D, Pauly J (2007) The application of compressed sensing for rapid MR imaging. Magn Reson Med 58(6):1182","journal-title":"Magn Reson Med"},{"issue":"1","key":"694_CR5","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1109\/TMI.2008.927346","volume":"28","author":"J Trzasko","year":"2009","unstructured":"Trzasko J, Manduca A, Trans IEEE (2009) Highly undersampled magnetic resonance image reconstruction via homotopic minimization. Med Imag 28(1):106\u2013121","journal-title":"Med Imag"},{"issue":"2","key":"694_CR6","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1109\/MSP.2007.914730","volume":"25","author":"M Duarte","year":"2008","unstructured":"Duarte M, Davenport M, Tahkar D, Laska J, Ting S, Kelly K, Baraniuk R (2008) Single-pixel imaging via compressive sampling. IEEE Signal Process Mag 25(2):83\u201391","journal-title":"IEEE Signal Process Mag"},{"key":"694_CR7","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1137\/S0097539792240406","volume":"24","author":"BK Natarajan","year":"1995","unstructured":"Natarajan BK (1995) Sparse approximate solutions to liline systems. SIAM J Comput 24:227\u2013234","journal-title":"SIAM J Comput"},{"key":"694_CR8","doi-asserted-by":"crossref","unstructured":"Candes EJ, Acad CR (2008) The restricted isometry property and its applications for compressed sensing. C R Acad Sci Paris Ser I 346(9\u201310):589\u2013592","DOI":"10.1016\/j.crma.2008.03.014"},{"issue":"1","key":"694_CR9","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1137\/S003614450037906X","volume":"43","author":"S Chen","year":"2001","unstructured":"Chen S, Donoho DL, Saunders MA (2001) Atomic decomposition by basis pursuit. SIAM Rev 43(1):129\u2013159","journal-title":"SIAM Rev"},{"issue":"4","key":"694_CR10","doi-asserted-by":"publisher","first-page":"606","DOI":"10.1109\/JSTSP.2007.910971","volume":"1","author":"SJ Kim","year":"2007","unstructured":"Kim SJ, Koh K, Lustig M, Boyd S, Corinevsky D (2007) An interior-point method for large-scale l1 regularized least squares. IEEE J Select Topics Signal Process 1(4):606\u2013617","journal-title":"IEEE J Select Topics Signal Process"},{"key":"694_CR11","unstructured":"Donoho DL, Tsaig Y (2006) Fast solution of l1-norm minimization problems when the solution may be sparse. Department of Statistics, Stanford University, USA, Tech. rep"},{"issue":"4","key":"694_CR12","doi-asserted-by":"publisher","first-page":"586","DOI":"10.1109\/JSTSP.2007.910281","volume":"1","author":"M Figueiredo","year":"2007","unstructured":"Figueiredo M, Nowak R, Wright S, Sel IEEEJ (2007) Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems. Topics Signal Process 1(4):586\u2013598","journal-title":"Topics Signal Process"},{"key":"694_CR13","doi-asserted-by":"crossref","unstructured":"Candes EJ (2008) The restricted isometry property and its implications for compressed sensing. Comptes Rendus Acad Sci Ser I 346(9\u201310):589\u2013592","DOI":"10.1016\/j.crma.2008.03.014"},{"issue":"1","key":"694_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1137\/090756855","volume":"4","author":"S Becker","year":"2011","unstructured":"Becker S, Bobin J, Candes EJ (2011) Nesta: a fast and accurate first-order method for sparse recovery. SIAM J Imaging Sci 4(1):1\u201339","journal-title":"SIAM J Imaging Sci"},{"issue":"1","key":"694_CR15","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1137\/070703983","volume":"1","author":"W Yin","year":"2008","unstructured":"Yin W, Osher S, Goldfarb D, Darbon J (2008) Bregman iterative algorithms for l1-minimization with applications to compressed sensing. SIAM J Imaging Sci 1(1):143\u2013168","journal-title":"SIAM J Imaging Sci"},{"issue":"2","key":"694_CR16","doi-asserted-by":"publisher","first-page":"890","DOI":"10.1137\/080714488","volume":"31","author":"ED Berg","year":"2008","unstructured":"Berg ED, Friedlander MP (2008) Probing the pareto frontier for basis pursuit solutions. SIAM J Sci Comput 31(2):890\u2013912","journal-title":"SIAM J Sci Comput"},{"issue":"11","key":"694_CR17","doi-asserted-by":"publisher","first-page":"1413","DOI":"10.1002\/cpa.20042","volume":"57","author":"I Daubechies","year":"2004","unstructured":"Daubechies I, Defrise M, Mol CD (2004) An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Commun Pure Appl Math 57(11):1413\u20131457","journal-title":"Commun Pure Appl Math"},{"issue":"5\u20136","key":"694_CR18","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1007\/s00041-008-9035-z","volume":"14","author":"T Blumensath","year":"2008","unstructured":"Blumensath T, Davies ME (2008) Iterative thresholding for sparse approximations. J Fourier Anal Appl 14(5\u20136):629\u2013654","journal-title":"J Fourier Anal Appl"},{"issue":"11","key":"694_CR19","doi-asserted-by":"publisher","first-page":"4789","DOI":"10.1109\/TIT.2008.929958","volume":"54","author":"D Donoho","year":"2008","unstructured":"Donoho D, Tsaig Y (2008) Fast solution for l1-norm minimization problems when the solution may be sparse. Trans IEEE Inf Theory 54(11):4789\u20134812","journal-title":"Trans IEEE Inf Theory"},{"key":"694_CR20","doi-asserted-by":"crossref","unstructured":"Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. In: Proc Nat Acad Sci","DOI":"10.1073\/pnas.79.8.2554"},{"key":"694_CR21","volume-title":"Neural networks for optimization and signal processing","author":"A Cichocki","year":"1993","unstructured":"Cichocki A, Unbehauen R (1993) Neural networks for optimization and signal processing. Wiley, New York"},{"issue":"6","key":"694_CR22","doi-asserted-by":"publisher","first-page":"904","DOI":"10.1016\/j.dsp.2007.09.013","volume":"19","author":"C Twigg","year":"2009","unstructured":"Twigg C, Hasler P (2009) Configurable analog signal processing. Digital Signal Process 19(6):904\u2013922","journal-title":"Digital Signal Process"},{"issue":"10","key":"694_CR23","doi-asserted-by":"publisher","first-page":"2526","DOI":"10.1162\/neco.2008.03-07-486","volume":"20","author":"CJ Rozell","year":"2008","unstructured":"Rozell CJ, Johnson DH, Baraniuk RG, Olshausen BA (2008) Sparse coding via thresholding and local competition in neural circuits. Neural Comput 20(10):2526\u20132563","journal-title":"Neural Comput"},{"key":"694_CR24","doi-asserted-by":"crossref","unstructured":"Guo ZS, Wang J (2010) A neurodynamical optimization approach to constrained sparsity maximization based on alternative objective functions. In: Proceedings of International Joint Conference on Neural Networks","DOI":"10.1109\/IJCNN.2010.5596553"},{"key":"694_CR25","doi-asserted-by":"crossref","unstructured":"Liu Q, Wang J (2009) A one-layer recurrent neural network for nonsmooth convex optimization subject to linear equality constraints. In: Proc Int Conf Neural Inf, Process","DOI":"10.1007\/978-3-642-03040-6_122"},{"issue":"12","key":"694_CR26","doi-asserted-by":"publisher","first-page":"1892","DOI":"10.1109\/TNN.2011.2169682","volume":"22","author":"Z Guo","year":"2011","unstructured":"Guo Z, Liu Q, Wang J (2011) A one-layer recurrent neural network for pseudoconvex optimization with linear equality constraints. IEEE Trans Neural Netw 22(12):1892\u20131900","journal-title":"IEEE Trans Neural Netw"},{"key":"694_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-7793-9","volume-title":"Differential equations with discontinuous right-hand side","author":"A Filippov","year":"1988","unstructured":"Filippov A (1988) Differential equations with discontinuous right-hand side. Kluwer Academic, Dordrecht"},{"key":"694_CR28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69512-4","volume-title":"Differential inclusions","author":"J Aubin","year":"1984","unstructured":"Aubin J, Cellina A (1984) Differential inclusions. Springer-Verlag, Berlin"},{"key":"694_CR29","volume-title":"Optimization and non-smooth analysis","author":"F Clarke","year":"1969","unstructured":"Clarke F (1969) Optimization and non-smooth analysis. Wiley, New York"},{"key":"694_CR30","unstructured":"Pardalos P (2008) Nonconvex optimization and its application. Berlin Heidelberg"},{"key":"694_CR31","volume-title":"Generalized convexity and optimization: theory and applications","author":"A Cambini","year":"2009","unstructured":"Cambini A, Martein L (2009) Generalized convexity and optimization: theory and applications. Springer-Verlag, Berlin Heidelberg"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-017-0694-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-017-0694-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-017-0694-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T16:33:01Z","timestamp":1569342781000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-017-0694-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,18]]},"references-count":31,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["694"],"URL":"https:\/\/doi.org\/10.1007\/s13042-017-0694-4","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,18]]},"assertion":[{"value":"30 November 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 May 2017","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 May 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}