{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T08:23:21Z","timestamp":1774599801628,"version":"3.50.1"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,4,6]],"date-time":"2011-04-06T00:00:00Z","timestamp":1302048000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2012,5]]},"DOI":"10.1007\/s10589-011-9404-4","type":"journal-article","created":{"date-parts":[[2011,4,5]],"date-time":"2011-04-05T20:50:53Z","timestamp":1302036653000},"page":"293-314","source":"Crossref","is-referenced-by-count":39,"title":["Numerical methods for A-optimal designs with a sparsity constraint for ill-posed inverse problems"],"prefix":"10.1007","volume":"52","author":[{"given":"Eldad","family":"Haber","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhuojun","family":"Magnant","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christian","family":"Lucero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luis","family":"Tenorio","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,4,6]]},"reference":[{"key":"9404_CR1","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198522546.001.0001","volume-title":"Optimum Experimental Designs","author":"A.C. Atkinson","year":"1992","unstructured":"Atkinson, A.C., Donev, A.N.: Optimum Experimental Designs. Oxford University Press, Oxford (1992)"},{"key":"9404_CR2","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0377-0427(96)00018-0","volume":"74","author":"Z. Bai","year":"1996","unstructured":"Bai, Z., Fahey, M., Golub, G.: Some large-scale matrix computation problems. J. Comput. Appl. Math. 74, 71\u201389 (1996)","journal-title":"J. Comput. Appl. Math."},{"key":"9404_CR3","first-page":"485","volume":"9","author":"O. Banerjee","year":"2008","unstructured":"Banerjee, O., Laurent, E., d\u2019Aspremont, A.: Model selection through sparse maximum likelihood estimation for multivariate Gaussian or binary data. J. Mach. Learn. Res. 9, 485\u2013516 (2008)","journal-title":"J. Mach. Learn. Res."},{"issue":"1\u20132","key":"9404_CR4","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.compchemeng.2007.05.004","volume":"32","author":"A. Bardow","year":"2008","unstructured":"Bardow, A.: Optimal experimental design for ill-posed problems, the meter approach. Comput. Chem. Eng. 32(1\u20132), 115\u2013124 (2008)","journal-title":"Comput. Chem. Eng."},{"key":"9404_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0377-0427(00)00300-9","volume":"120","author":"I. Bauer","year":"2000","unstructured":"Bauer, I., Bock, H.G., K\u00f6rkel, S., Schl\u00f6der, J.P.: Numerical methods for optimum experimental design in DAE systems. J. Comput. Appl. Math. 120, 1\u201315 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"9404_CR6","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex Optimization","author":"S. Boyd","year":"2004","unstructured":"Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)"},{"key":"9404_CR7","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1214\/ss\/1177009939","volume":"10","author":"K. Chaloner","year":"1995","unstructured":"Chaloner, K., Verdinelli, I.: Bayesian experimental design: A review. Stat. Sci. 10, 237\u2013304 (1995)","journal-title":"Stat. Sci."},{"key":"9404_CR8","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1088\/0266-5611\/22\/4\/009","volume":"22","author":"J. Chung","year":"2006","unstructured":"Chung, J., Haber, E., Nagy, J.: Numerical methods for coupled super-resolution. Inverse Probl. 22, 1261\u20131272 (2006)","journal-title":"Inverse Probl."},{"key":"9404_CR9","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1046\/j.1365-246X.1999.00947.x","volume":"136","author":"A. Curtis","year":"1999","unstructured":"Curtis, A.: Optimal experimental design: Cross borehole tomographic example. Geophys. J. Int. 136, 205\u2013215 (1999)","journal-title":"Geophys. J. Int."},{"issue":"12","key":"9404_CR10","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1109\/83.650118","volume":"6","author":"M. Elad","year":"1997","unstructured":"Elad, M., Feuer, A.: Restoration of a single super-resolution image from several blurred, noisy, and undersampled measured images. IEEE Trans. Image Process. 6(12), 1646\u20131658 (1997)","journal-title":"IEEE Trans. Image Process."},{"key":"9404_CR11","series-title":"Lecture Notes in Statistics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0703-0","volume-title":"Model-Oriented Design of Experiments","author":"V.V. Fedorov","year":"1997","unstructured":"Fedorov, V.V., Hackl, P.: Model-Oriented Design of Experiments. Lecture Notes in Statistics. Springer, Berlin (1997)"},{"key":"9404_CR12","doi-asserted-by":"crossref","unstructured":"Figueiredo, M., Nowak, R., Wright, S.J.: Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems. IEEE J. Sel. Top. Signal Process., 586\u2013597 (2007)","DOI":"10.1109\/JSTSP.2007.910281"},{"key":"9404_CR13","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1093\/biostatistics\/kxm045","volume":"9","author":"J. Friedman","year":"2008","unstructured":"Friedman, J., Hastie, T., Tibshirani, R.: Sparse inverse covariance estimation with the graphical lasso. Biostatistics 9, 432\u2013441 (2008)","journal-title":"Biostatistics"},{"key":"9404_CR14","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1088\/0266-5611\/18\/1\/316","volume":"18","author":"L. Gilles","year":"2002","unstructured":"Gilles, L., Vogel, C.R., Bardsley, J.M.: Computational methods for a large-scale inverse problem arising in atmospheric optics. Inverse Probl. 18, 237\u2013252 (2002)","journal-title":"Inverse Probl."},{"key":"9404_CR15","unstructured":"Golub, G., Von Matt, U.: Tikhonov regularization for large scale problems. Technical Report SCCM 4-79 (1997)"},{"key":"9404_CR16","unstructured":"Haber, E.: Numerical Strategies for the Solution of Inverse Problems. PhD thesis, University of British Columbia (1997)"},{"key":"9404_CR17","doi-asserted-by":"crossref","first-page":"1263","DOI":"10.1088\/0266-5611\/16\/5\/309","volume":"16","author":"E. Haber","year":"2000","unstructured":"Haber, E., Ascher, U., Oldenburg, D.: On optimization techniques for solving nonlinear inverse problems. Inverse Probl. 16, 1263\u20131280 (2000)","journal-title":"Inverse Probl."},{"issue":"5","key":"9404_CR18","doi-asserted-by":"crossref","DOI":"10.1088\/0266-5611\/24\/5\/055012","volume":"24","author":"E. Haber","year":"2008","unstructured":"Haber, E., Horesh, L., Tenorio, L.: Numerical methods for experimental design of large-scale linear ill-posed inverse problems. Inverse Probl. 24(5), 055012 (2008)","journal-title":"Inverse Probl."},{"key":"9404_CR19","first-page":"253","volume":"3","author":"M. Hanke","year":"1993","unstructured":"Hanke, M., Hansen, P.C.: Regularization methods for large-scale problems. Surv. Math. Ind. 3, 253\u2013315 (1993)","journal-title":"Surv. Math. Ind."},{"key":"9404_CR20","volume-title":"Rank-Deficient and Discrete Ill-Posed Problems","author":"P.C. Hansen","year":"1997","unstructured":"Hansen, P.C.: Rank-Deficient and Discrete Ill-Posed Problems. SIAM, Philadelphia (1997)"},{"key":"9404_CR21","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718874","volume-title":"Deblurring Images: Matrices, Spectra, and Filtering","author":"P.C. Hansen","year":"2006","unstructured":"Hansen, P.C., Nagy, J., O\u2019Leary, D.: Deblurring Images: Matrices, Spectra, and Filtering. SIAM, Philadelphia (2006)"},{"key":"9404_CR22","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1080\/03610918908812806","volume":"18","author":"M.F. Hutchinson","year":"1990","unstructured":"Hutchinson, M.F.: A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines. J. Commun. Stat. Simul. 18, 1059\u20131076 (1990)","journal-title":"J. Commun. Stat. Simul."},{"key":"9404_CR23","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970920","volume-title":"Iterative Methods for Optimization","author":"C.T. Kelley","year":"1999","unstructured":"Kelley, C.T.: Iterative Methods for Optimization. SIAM, Philadelphia (1999)"},{"key":"9404_CR24","doi-asserted-by":"crossref","first-page":"1100","DOI":"10.1137\/S1052623498345075","volume":"9","author":"C.J. Lin","year":"1999","unstructured":"Lin, C.J., More, J.: Newton\u2019s method for large bound-constrained optimization problems. SIAM J. Optim. 9, 1100\u20131127 (1999)","journal-title":"SIAM J. Optim."},{"key":"9404_CR25","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1088\/0266-5611\/16\/5\/302","volume":"16","author":"H. Maurer","year":"2000","unstructured":"Maurer, H., Boerner, D., Curtis, A.: Design strategies for electromagnetic geophysical surveys. Inverse Probl. 16, 1097\u20131117 (2000)","journal-title":"Inverse Probl."},{"key":"9404_CR26","doi-asserted-by":"crossref","first-page":"1003","DOI":"10.1023\/B:BITN.0000014546.51341.53","volume":"43","author":"J. Nagy","year":"2003","unstructured":"Nagy, J., Palmer, K.: Steepest descent, CG and iterative regularization of ill-posed problems. BIT Numer. Math. 43, 1003\u20131017 (2003)","journal-title":"BIT Numer. Math."},{"key":"9404_CR27","doi-asserted-by":"crossref","first-page":"1218","DOI":"10.1190\/1.1441004","volume":"44","author":"D.W. Oldenburg","year":"1979","unstructured":"Oldenburg, D.W.: One-dimensional inversion of natural source magnetotelluric measurements. Geophysics 44, 1218\u20131244 (1979)","journal-title":"Geophysics"},{"key":"9404_CR28","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1137\/0902037","volume":"2","author":"D.P. O\u2018Leary","year":"1981","unstructured":"O\u2018Leary, D.P., Simmons, J.A.: A bidiagonalization-regularization procedure for large-scale regularization of ill-posed problems. SIAM J. Sci. Stat. Comput. 2, 474\u2013489 (1981)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"9404_CR29","unstructured":"Orchard, J.: His Brain. Retrieved March 26, 2010, from The University of Waterloo website: http:\/\/www.cs.uwaterloo.ca\/jorchard\/mri\/ , 2005, April 27"},{"key":"9404_CR30","volume-title":"Optimal Design of Experiments","author":"F. Pukelsheim","year":"1993","unstructured":"Pukelsheim, F.: Optimal Design of Experiments. Wiley, New York (1993)"},{"key":"9404_CR31","unstructured":"Tenorio, L., Andersson, F., de Hoop, M., Ma, P.: Data analysis tools for uncertainty quantification of inverse problems (Submitted)"},{"key":"9404_CR32","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1137\/080714488","volume":"31","author":"E. Berg van\u00a0den","year":"2008","unstructured":"van\u00a0den Berg, E., Friedlander, M.P.: Probing the Pareto frontier for basis pursuit solutions. SIAM J. Sci. Comput. 31, 890\u2013912 (2008)","journal-title":"SIAM J. Sci. Comput."},{"key":"9404_CR33","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2440-0","volume-title":"The Nature of Statistical Learning Theory","author":"V. Vapnik","year":"1995","unstructured":"Vapnik, V.: The Nature of Statistical Learning Theory. Springer, Berlin (1995)"},{"key":"9404_CR34","volume-title":"Computational Methods for Inverse Problems","author":"C. Vogel","year":"2001","unstructured":"Vogel, C.: Computational Methods for Inverse Problems. SIAM, Philadelphia (2001)"},{"key":"9404_CR35","series-title":"SEG Monograph","doi-asserted-by":"crossref","DOI":"10.1190\/1.9781560802419","volume-title":"Inversion of Magnetotelluric Data for a One Dimensional Conductivity","author":"K.P. Whittall","year":"1992","unstructured":"Whittall, K.P., Oldenburg, D.W.: Inversion of Magnetotelluric Data for a One Dimensional Conductivity. SEG Monograph, vol.\u00a05 (1992)"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-011-9404-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-011-9404-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-011-9404-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,5]],"date-time":"2024-04-05T21:01:41Z","timestamp":1712350901000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-011-9404-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,4,6]]},"references-count":35,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,5]]}},"alternative-id":["9404"],"URL":"https:\/\/doi.org\/10.1007\/s10589-011-9404-4","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,4,6]]}}}