{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T01:44:47Z","timestamp":1725846287344},"publisher-location":"Cham","reference-count":21,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319279251"},{"type":"electronic","value":"9783319279268"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-27926-8_20","type":"book-chapter","created":{"date-parts":[[2016,1,5]],"date-time":"2016-01-05T05:31:17Z","timestamp":1451971877000},"page":"233-239","source":"Crossref","is-referenced-by-count":0,"title":["An Efficient Numerical Approximation for the Monge-Kantorovich Mass Transfer Problem"],"prefix":"10.1007","author":[{"given":"M. L.","family":"Avenda\u00f1o-Garrido","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. R.","family":"Gabriel-Arg\u00fcelles","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.","family":"Quintana-Torres","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E.","family":"Mezura-Montes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,1,6]]},"reference":[{"key":"20_CR1","volume-title":"Linear Programming in Infinite-dimensional Spaces","author":"E Anderson","year":"1987","unstructured":"Anderson, E., Nash, P.: Linear Programming in Infinite-dimensional Spaces. Wiley, New York (1987)"},{"key":"20_CR2","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1287\/moor.9.2.222","volume":"9","author":"E Anderson","year":"1984","unstructured":"Anderson, E., Philpott, A.: Duality and an algorithm for a class of continuous transportation problems. Math. Oper. Res. 9, 222\u2013231 (1984)","journal-title":"Math. Oper. Res."},{"key":"20_CR3","volume-title":"Linear Programming and Network Flows","author":"MS Bazaraa","year":"2010","unstructured":"Bazaraa, M.S., Jarvis, J.J., Sherali, H.D.: Linear Programming and Network Flows. Wiley-Interscience, New Jersey (2010)"},{"key":"20_CR4","doi-asserted-by":"crossref","unstructured":"Bosc, D.: Numerical approximation of optimal transport maps. SSRN (2010)","DOI":"10.2139\/ssrn.1730684"},{"issue":"3","key":"20_CR5","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/j.entcs.2009.10.006","volume":"353","author":"Y Deng","year":"2009","unstructured":"Deng, Y., Du, W.: Kantorovich metric in computer science: a brief survey. Electron. Notes Theoret. Comput. Sci. 353(3), 73\u201382 (2009)","journal-title":"Electron. Notes Theoret. Comput. Sci."},{"issue":"3","key":"20_CR6","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1111\/j.1467-9868.2011.01018.x","volume":"74","author":"S Evans","year":"2012","unstructured":"Evans, S., Matsen, F.: The phylogenetic kantorovich-rubinstein metric for environmental sequence samples. J. Roy. Stat. Soc.: Ser. B (Stat. Methodol.) 74(3), 569\u2013592 (2012)","journal-title":"J. Roy. Stat. Soc.: Ser. B (Stat. Methodol.)"},{"key":"20_CR7","doi-asserted-by":"publisher","first-page":"1121","DOI":"10.1093\/imanum\/drn076","volume":"30","author":"J Gabriel","year":"2010","unstructured":"Gabriel, J., Gonz\u00e1lez-Hern\u00e1ndez, J., L\u00f3pez-Mart\u00ednez, R.: Numerical approximations to the mass transfer problem on compact spaces. IMA J. Numer. Anal. 30, 1121\u20131136 (2010)","journal-title":"IMA J. Numer. Anal."},{"key":"20_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BFb0026589","volume-title":"Artificial Evolution","author":"F Glover","year":"1998","unstructured":"Glover, F.: A template for scatter search and path relinking. In: Hao, J.-K., Lutton, E., Ronald, E., Schoenauer, M., Snyers, D. (eds.) AE 1997. LNCS, vol. 1363, pp. 1\u201351. Springer, Heidelberg (1998)"},{"key":"20_CR9","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1137\/050623991","volume":"17","author":"J Gonz\u00e1lez-Hern\u00e1ndez","year":"2006","unstructured":"Gonz\u00e1lez-Hern\u00e1ndez, J., Gabriel, J., Hern\u00e1ndez-Lerma, O.: On solutions to the mass transfer problem. SIAM J. Optim. 17, 485\u2013499 (2006)","journal-title":"SIAM J. Optim."},{"key":"20_CR10","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1023\/B:VISI.0000036836.66311.97","volume":"63","author":"S Haker","year":"2004","unstructured":"Haker, S., Zhu, L., Tannenbaum, A., Angenent, S.: Optimal mass transport for registration and warping. Int. J. Comput. Vision 63, 225\u2013240 (2004)","journal-title":"Int. J. Comput. Vision"},{"key":"20_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2307\/1427493","volume":"25","author":"L Hanin","year":"1993","unstructured":"Hanin, L., Rachev, S., Yakovlev, A.: On the optimal control of cancer radiotherapy for non-homogeneous cell population. Adv. Appl. Probab. 25, 1\u201323 (1993)","journal-title":"Adv. Appl. Probab."},{"key":"20_CR12","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1137\/S1052623497315768","volume":"8","author":"O Hern\u00e1ndez-Lerma","year":"1998","unstructured":"Hern\u00e1ndez-Lerma, O., Lasserre, J.: Approximation schemes for infinite linear programs. SIAM J. Optim. 8, 973\u2013988 (1998)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"20_CR13","first-page":"225","volume":"133","author":"L Kantorovich","year":"2006","unstructured":"Kantorovich, L.: On a problem of monge. J. Math. Sci. 133(4), 225\u2013226 (2006)","journal-title":"J. Math. Sci."},{"issue":"4","key":"20_CR14","doi-asserted-by":"publisher","first-page":"1381","DOI":"10.1007\/s10958-006-0049-2","volume":"133","author":"L Kantorovich","year":"2006","unstructured":"Kantorovich, L.: On the translocation of masses. J. Math. Sci. 133(4), 1381\u20131382 (2006)","journal-title":"J. Math. Sci."},{"issue":"4","key":"20_CR15","doi-asserted-by":"publisher","first-page":"1456","DOI":"10.1007\/s10958-006-0061-6","volume":"133","author":"V Levin","year":"2006","unstructured":"Levin, V.: Optimality conditions and exact solutions to the two-dimensional monge-kantorovich problem. J. Math. Sci. 133(4), 1456\u20131463 (2006)","journal-title":"J. Math. Sci."},{"key":"20_CR16","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1016\/j.ejor.2004.08.004","volume":"169","author":"R Mart\u00ed","year":"2006","unstructured":"Mart\u00ed, R., Laguna, M., Glover, F.: Principles of scatter search. Eur. J. Oper. Res. 169, 359\u2013372 (2006)","journal-title":"Eur. J. Oper. Res."},{"issue":"5","key":"20_CR17","doi-asserted-by":"publisher","first-page":"1583","DOI":"10.1111\/j.1467-8659.2011.02032.x","volume":"30","author":"Q M\u00e8rigot","year":"2011","unstructured":"M\u00e8rigot, Q.: A multiscale approach to optimal transport. Computer Graphics Forum 30(5), 1583\u20131592 (2011)","journal-title":"Computer Graphics Forum"},{"key":"20_CR18","unstructured":"Monge, G.: M\u00e9moire sur la th\u00e9orie des d\u00e9blais et des remblais. De l\u2019Imprimerie Royale, Paris (1781)"},{"key":"20_CR19","volume-title":"Probability Metrics and the Stability of Stochastic Models","author":"S Rachev","year":"1991","unstructured":"Rachev, S.: Probability Metrics and the Stability of Stochastic Models. Wiley, New York (1991)"},{"key":"20_CR20","volume-title":"Mass Transportation Problems, vol.I and II","author":"S Rachev","year":"1998","unstructured":"Rachev, S., R\u00fcschendorf, L.: Mass Transportation Problems, vol.I and II. Springer, New York (1998)"},{"key":"20_CR21","volume-title":"Optimal Transport: Old and New","author":"C Villani","year":"2008","unstructured":"Villani, C.: Optimal Transport: Old and New, vol. 338. Springer, Heidelberg (2008)"}],"container-title":["Lecture Notes in Computer Science","Machine Learning, Optimization, and Big Data"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-27926-8_20","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T04:23:39Z","timestamp":1559363019000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-27926-8_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319279251","9783319279268"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-27926-8_20","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2015]]}}}