{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,21]],"date-time":"2023-02-21T08:28:15Z","timestamp":1676968095976},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,2,14]],"date-time":"2013-02-14T00:00:00Z","timestamp":1360800000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Constraints"],"published-print":{"date-parts":[[2013,7]]},"DOI":"10.1007\/s10601-012-9139-6","type":"journal-article","created":{"date-parts":[[2013,2,13]],"date-time":"2013-02-13T22:35:40Z","timestamp":1360794940000},"page":"344-376","source":"Crossref","is-referenced-by-count":4,"title":["Probabilistic constraints for nonlinear inverse problems"],"prefix":"10.1007","volume":"18","author":[{"given":"Elsa","family":"Carvalho","sequence":"first","affiliation":[]},{"given":"Jorge","family":"Cruz","sequence":"additional","affiliation":[]},{"given":"Pedro","family":"Barahona","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,2,14]]},"reference":[{"key":"9139_CR1","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.matcom.2007.09.009","volume":"79","author":"MH Alrefaei","year":"2008","unstructured":"Alrefaei, M.H., & Abdul-Rahman, H.M. (2008). An adaptive Monte Carlo integration algorithm with general division approach. Mathematics and Computers in Simulation, 79, 49\u201359.","journal-title":"Mathematics and Computers in Simulation"},{"issue":"5","key":"9139_CR2","first-page":"1","volume":"5","author":"R Arnone","year":"2006","unstructured":"Arnone, R., et al. (2006). Remote sensing of inherent optical properties: fundamentals, tests of algorithms, and applications. IOCCG Report, 5(5), 1\u2013122.","journal-title":"IOCCG Report"},{"key":"9139_CR3","volume-title":"Nonlinear regression analysis and its applications. Wiley series in probability and mathematical statistics","author":"DM Bates","year":"1988","unstructured":"Bates, D.M., & Watts, D.G. (1988). Nonlinear regression analysis and its applications. Wiley series in probability and mathematical statistics. New York: Willey."},{"key":"9139_CR4","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1002\/9780470316757","volume-title":"Nonlinear regression: Iterative estimation and linear approximations","author":"DM Bates","year":"1988","unstructured":"Bates, D.M., & Watts, D.G. (1988). Nonlinear regression: Iterative estimation and linear approximations (pp.\u00a032\u201365). New York: Wiley."},{"key":"9139_CR5","doi-asserted-by":"crossref","unstructured":"Benhamou, F., & Goualard, F. (2000). Universally quantified interval constraints. In Principles and practice of constraint programming (pp.\u00a067\u201382).","DOI":"10.1007\/3-540-45349-0_7"},{"key":"9139_CR6","first-page":"230","volume-title":"Procs. of ICLP","author":"F Benhamou","year":"1999","unstructured":"Benhamou, F., Goualard, F., Granvilliers, L., Puget, J.-F. (1999). Revising hull and box consistency. In Procs. of ICLP (pp.\u00a0230\u2013244). Cambridge: MIT."},{"key":"9139_CR7","first-page":"124","volume-title":"ISLP","author":"F Benhamou","year":"1994","unstructured":"Benhamou, F., McAllester, D., van Hentenryck, P. (1994). CLP(intervals) revisited. In ISLP (pp.\u00a0124\u2013138). Cambridge: MIT Press."},{"key":"9139_CR8","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1023\/A:1026437523641","volume":"5","author":"M Berz","year":"1999","unstructured":"Berz, M., & Makino, K. (1999). New methods for high-dimensional verified quadrature. Reliable Computing, 5, 13\u201322.","journal-title":"Reliable Computing"},{"key":"9139_CR9","first-page":"624","volume-title":"Proc. IJCAI95","author":"S Bistarelli","year":"1995","unstructured":"Bistarelli, S., Montanari, U., Rossi, F. (1995). Constraint solving over semirings. In Proc. IJCAI95 (pp.\u00a0624\u2013630). San Mateo: Morgan."},{"key":"9139_CR10","doi-asserted-by":"crossref","unstructured":"Carvalho, E., Cruz, J., Barahona, P. (2008). Probabilistic continuous constraint satisfaction problems. In ICTAI (2) (pp.\u00a0155\u2013162).","DOI":"10.1109\/ICTAI.2008.75"},{"key":"9139_CR11","series-title":"Advances in intelligent and soft computing","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/978-3-642-11960-6_34","volume-title":"Integrated uncertainty management and applications","author":"E Carvalho","year":"2010","unstructured":"Carvalho, E., Cruz, J., Barahona, P. (2010). Reasoning with uncertainty in continuous domains. In Integrated uncertainty management and applications. Advances in intelligent and soft computing (Vol.\u00a068, pp.\u00a0357\u2013369). New York: Springer."},{"key":"9139_CR12","doi-asserted-by":"crossref","unstructured":"Dubois, D., Fargier, H., Prade, H. (1993). The calculus of fuzzy restrictions as a basis for flexible constraint satisfaction. In Second IEEE international conference on fuzzy systems, 1993 (Vol.\u00a02, pp.\u00a01131\u20131136).","DOI":"10.1109\/FUZZY.1993.327356"},{"key":"9139_CR13","first-page":"97","volume-title":"Proc. of ECSQARU. LNCS","author":"H Fargier","year":"1993","unstructured":"Fargier, H., & Lang, J. (1993). Uncertainty in constraint satisfaction problems: a probabilistic approach. In Proc. of ECSQARU. LNCS (Vol.\u00a0747, pp.\u00a097\u2013104). Berlin: Springer."},{"key":"9139_CR14","unstructured":"Fargier, H., Lang, J., Martin-Clouaire, R., Schiex, T. (1995). A constraint satisfaction framework for decision under uncertainty. In Proc. of the 11th int. conf. on uncertainty in artificial intelligence (pp.\u00a0175\u2013180)."},{"issue":"1","key":"9139_CR15","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1145\/1132973.1132980","volume":"32","author":"L Granvilliers","year":"2006","unstructured":"Granvilliers, L., & Benhamou, F. (2006). Algorithm 852: realpaver: an interval solver using constraint satisfaction techniques. ACM Transactions on Mathematical Software, 32(1), 138\u2013156.","journal-title":"ACM Transactions on Mathematical Software"},{"issue":"2","key":"9139_CR16","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1137\/S1064827503426851","volume":"26","author":"L Granvilliers","year":"2004","unstructured":"Granvilliers, L., Cruz, J., Barahona, P. (2004). Parameter estimation using interval computations. SIAM Journal on Scientific Computing, 26(2), 591\u2013612.","journal-title":"SIAM Journal on Scientific Computing"},{"key":"9139_CR17","volume-title":"Reasoning about uncertainty","author":"JY Halpern","year":"2003","unstructured":"Halpern, J.Y. (2003). Reasoning about uncertainty. Cambridge: MIT."},{"key":"9139_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-5819-7","volume-title":"Monte Carlo methods","author":"JM Hammersley","year":"1964","unstructured":"Hammersley, J.M., & Handscomb, D.C. (1964). Monte Carlo methods. London: Methuen."},{"key":"9139_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-0249-6","volume-title":"Applied interval analysis","author":"L Jaulin","year":"2001","unstructured":"Jaulin, L., Kieffer, M., Didrit, O., Walter, E. (2001). Applied interval analysis. New York: Springer."},{"issue":"4","key":"9139_CR20","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1016\/0005-1098(93)90106-4","volume":"29","author":"L Jaulin","year":"1993","unstructured":"Jaulin, L., & Walter, E. (1993). Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica, 29(4), 1053\u20131064.","journal-title":"Automatica"},{"key":"9139_CR21","volume-title":"Monte Carlo methods","author":"M Kalos","year":"2009","unstructured":"Kalos, M., & Whitlock, P. (2009). Monte Carlo methods. New York: Wiley."},{"issue":"3","key":"9139_CR22","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1023\/B:JOGO.0000044769.91651.87","volume":"29","author":"V Kreinovich","year":"2004","unstructured":"Kreinovich, V. (2004). Probabilities, intervals, what next? Optimization problems related to extension of interval computations to situations with partial information about probabilities. Journal of Global Optimization, 29(3), 265\u2013280.","journal-title":"Journal of Global Optimization"},{"issue":"3","key":"9139_CR23","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1364\/AO.49.000369","volume":"49","author":"Z Lee","year":"2010","unstructured":"Lee, Z., Arnone, R., Hu, C., Werdell, P.J., Lubac, B. (2010). Uncertainties of optical parameters and their propagations in an analytical ocean color inversion algorithm. Applied Optics, 49(3), 369\u2013381.","journal-title":"Applied Optics"},{"key":"9139_CR24","unstructured":"Lhomme, O. (1993). Consistency techniques for numeric CSPs. In Proc. of the 13th IJCAI (pp.\u00a0232\u2013238)."},{"issue":"4","key":"9139_CR25","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/j.rse.2004.08.014","volume":"94","author":"S Maritorena","year":"2005","unstructured":"Maritorena, S., & Siegel, D.A. (2005). Consistent merging of satellite ocean color data sets using a bio-optical model. Remote Sensing of Environment, 94(4), 429\u2013440.","journal-title":"Remote Sensing of Environment"},{"issue":"1\u20133","key":"9139_CR26","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/j.dsr2.2003.11.001","volume":"51","author":"CR McClain","year":"2004","unstructured":"McClain, C.R., Feldman, G.C., Hooker, S.B. (2004). An overview of the SeaWiFS project and strategies for producing a climate research quality Global ocean bio-optical time series. Deep Sea Research Part II: Topical Studies in Oceanography, 51(1\u20133), 5\u201342.","journal-title":"Deep Sea Research Part II: Topical Studies in Oceanography"},{"key":"9139_CR27","volume-title":"Geophysical data analysis: Discrete inverse theory","author":"W Menke","year":"1989","unstructured":"Menke, W. (1989). Geophysical data analysis: Discrete inverse theory (2nd ed.). New York: Academic Press.","edition":"2"},{"key":"9139_CR28","volume-title":"Interval analysis","author":"R Moore","year":"1966","unstructured":"Moore, R. (1966). Interval analysis. Englewood Cliffs: Prentice-Hall."},{"key":"9139_CR29","doi-asserted-by":"crossref","first-page":"709","DOI":"10.4319\/lo.1977.22.4.0709","volume":"22","author":"A Morel","year":"1977","unstructured":"Morel, A., & Prieur, L. (1977). Analysis of variation in ocean colour. Limnology and Oceanography, 22, 709\u2013722.","journal-title":"Limnology and Oceanography"},{"key":"9139_CR30","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-68322-3","volume-title":"Discovering the ocean from space","author":"IS Robinson","year":"2010","unstructured":"Robinson, I.S. (2010). Discovering the ocean from space. New York: Springer."},{"issue":"1\/2","key":"9139_CR31","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/BF00143879","volume":"1","author":"D Sam-Haroud","year":"1996","unstructured":"Sam-Haroud, D., & Faltings, B. (1996). Consistency techniques for continuous constraints. Constraints, 1(1\/2), 85\u2013118.","journal-title":"Constraints"},{"key":"9139_CR32","unstructured":"Shazeer, N., Littman, M., Keim, G. (1999). Constraint satisfaction with probabilistic preferences on variable values. In Proc. of national conf. on AI."},{"key":"9139_CR33","volume-title":"Inverse problem theory and methods for model parameter estimation","author":"A Tarantola","year":"2004","unstructured":"Tarantola, A. (2004). Inverse problem theory and methods for model parameter estimation. Philadelphia: SIAM."},{"key":"9139_CR34","first-page":"111","volume-title":"ECAI","author":"T Walsh","year":"2002","unstructured":"Walsh, T. (2002). Stochastic constraint programming. In ECAI (pp.\u00a0111\u2013115). Amsterdam: IOS Press."},{"issue":"19","key":"9139_CR35","doi-asserted-by":"crossref","first-page":"4074","DOI":"10.1364\/AO.44.004074","volume":"44","author":"P Wang","year":"2005","unstructured":"Wang, P., Boss, E.S., Roesler, C. (2005). Uncertainties of inherent optical properties obtained from semianalytical inversions of ocean color. Applied Optics, 44(19), 4074\u20134085.","journal-title":"Applied Optics"},{"key":"9139_CR36","volume-title":"Mathematica edition: Version 8.0","author":"Wolfram Research, Inc.","year":"2010","unstructured":"Wolfram Research, Inc. (2010). Mathematica edition: Version 8.0. Champaign: Wolfram Research, Inc."},{"key":"9139_CR37","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/978-90-481-8681-5_18","volume-title":"Oceanography from space","author":"G Zibordi","year":"2010","unstructured":"Zibordi, G., & Voss, K. (2010). Field radiometry and ocean colour remote sensing. In V. Barale, J. Gower, & L. Alberotanza (Eds.), Oceanography from space (Chapter\u00a018, pp.\u00a0307\u2013334). New York: Springer."}],"container-title":["Constraints"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10601-012-9139-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10601-012-9139-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10601-012-9139-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,9]],"date-time":"2019-07-09T18:23:33Z","timestamp":1562696613000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10601-012-9139-6"}},"subtitle":["An ocean color remote sensing example"],"short-title":[],"issued":{"date-parts":[[2013,2,14]]},"references-count":37,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,7]]}},"alternative-id":["9139"],"URL":"https:\/\/doi.org\/10.1007\/s10601-012-9139-6","relation":{},"ISSN":["1383-7133","1572-9354"],"issn-type":[{"value":"1383-7133","type":"print"},{"value":"1572-9354","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,2,14]]}}}