{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:50:34Z","timestamp":1757314234646,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"6-8","license":[{"start":{"date-parts":[[2017,5,11]],"date-time":"2017-05-11T00:00:00Z","timestamp":1494460800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Spanish Mineco","award":["TIN2016-75866-C3-3-R"],"award-info":[{"award-number":["TIN2016-75866-C3-3-R"]}]},{"DOI":"10.13039\/501100001824","name":"Czech Science Foundation","doi-asserted-by":"crossref","award":["GA14-19213S"],"award-info":[{"award-number":["GA14-19213S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Vis Comput"],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s00371-017-1398-1","type":"journal-article","created":{"date-parts":[[2017,5,11]],"date-time":"2017-05-11T16:50:09Z","timestamp":1494521409000},"page":"845-855","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Adaptive multiple importance sampling for general functions"],"prefix":"10.1007","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2164-6858","authenticated-orcid":false,"given":"Mateu","family":"Sbert","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3329-8814","authenticated-orcid":false,"given":"Vlastimil","family":"Havran","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,11]]},"reference":[{"key":"1398_CR1","unstructured":"Bekaert, P., Sbert, M., Halton, J.: Accelerating path tracing by re-using paths. In: Proceedings of EGRW \u201902, pp. 125\u2013134. Eurographics Association, Switzerland (2002)"},{"key":"1398_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-0399-4","volume-title":"Handbook of Means and Their Inequalities","author":"P Bullen","year":"2003","unstructured":"Bullen, P.: Handbook of Means and Their Inequalities. Springer Science+Business Media, Dordrecht (2003)"},{"issue":"4","key":"1398_CR3","doi-asserted-by":"crossref","first-page":"798","DOI":"10.1111\/j.1467-9469.2011.00756.x","volume":"39","author":"JM Cornuet","year":"2012","unstructured":"Cornuet, J.M., Marin, J.M., Mira, A., Robert, C.P.: Adaptive multiple importance sampling. Scand. J. Stat. 39(4), 798\u2013812 (2012)","journal-title":"Scand. J. Stat."},{"key":"1398_CR4","unstructured":"Csonka, F., Szirmay-Kalos, L., Antal, G.: Cost-driven multiple importance sampling for Monte-Carlo rendering. TR-186-2-01-19, Institute of Computer Graphics and Algorithms, Vienna University of Technology (2001)"},{"issue":"1","key":"1398_CR5","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1214\/009053606000001154","volume":"35","author":"R Douc","year":"2007","unstructured":"Douc, R., Guillin, A., Marin, J.M., Robert, C.P.: Convergence of adaptive mixtures of importance sampling schemes. Ann. Stat. 35(1), 420\u2013448 (2007)","journal-title":"Ann. Stat."},{"key":"1398_CR6","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1051\/ps:2007028","volume":"11","author":"R Douc","year":"2007","unstructured":"Douc, R., Guillin, A., Marin, J.M., Robert, C.P.: Minimum variance importance sampling via population Monte Carlo. ESAIM Probab. Stat. 11, 427\u2013447 (2007)","journal-title":"ESAIM Probab. Stat."},{"key":"1398_CR7","doi-asserted-by":"crossref","unstructured":"Elvira, V., Martino, L., Luengo, D., Corander, J.: A Gradient adaptive population importance sampler. In: Proceedings of ICASSP 2015, pp. 4075\u20134079. IEEE (2015)","DOI":"10.1109\/ICASSP.2015.7178737"},{"key":"1398_CR8","doi-asserted-by":"crossref","first-page":"543","DOI":"10.2307\/2527652","volume":"15","author":"FA Graybillk","year":"1959","unstructured":"Graybillk, F.A., Deal, R.: Combining unbiased estimators. Biometrics 15, 543\u2013550 (1959)","journal-title":"Biometrics"},{"issue":"4","key":"1398_CR9","doi-asserted-by":"crossref","first-page":"100:1","DOI":"10.1145\/2601097.2601138","volume":"33","author":"T Hachisuka","year":"2014","unstructured":"Hachisuka, T., Kaplanyan, A.S., Dachsbacher, C.: Multiplexed metropolis light transport. ACM Trans. Graph. 33(4), 100:1\u2013100:10 (2014)","journal-title":"ACM Trans. Graph."},{"key":"1398_CR10","volume-title":"Inequalities. Cambridge Mathematical Library","author":"G Hardy","year":"1952","unstructured":"Hardy, G., Littlewood, J., P\u00f3lya, G.: Inequalities. Cambridge Mathematical Library. Cambridge University Press, Cambridge (1952)"},{"key":"1398_CR11","doi-asserted-by":"crossref","unstructured":"Havran, V., Sbert, M.: Optimal combination of techniques in multiple importance sampling. In: Proceedings of the 13th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry. VRCAI \u201914, pp. 141\u2013150. ACM, New York (2014)","DOI":"10.1145\/2670473.2670496"},{"key":"1398_CR12","doi-asserted-by":"crossref","DOI":"10.1002\/9783527617395","volume-title":"Monte Carlo Methods: Basics. Monte Carlo Methods","author":"M Kalos","year":"1986","unstructured":"Kalos, M., Whitlock, P.: Monte Carlo Methods: Basics. Monte Carlo Methods. Wiley, New York (1986)"},{"key":"1398_CR13","volume-title":"Inequalities. Little Mathematics Library","author":"PP Korovkin","year":"1975","unstructured":"Korovkin, P.P.: Inequalities. Little Mathematics Library. Mir Publishers, Moscow (1975)"},{"key":"1398_CR14","unstructured":"Lafortune, E.P., Willems, Y.D.: Using the Modified Phong Reflectance Model for Physically Based Rendering. TR CW197, Department of Computers, K.U. Leuven (1994)"},{"issue":"1","key":"1398_CR15","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/s00371-013-0908-z","volume":"31","author":"YC Lai","year":"2014","unstructured":"Lai, Y.C., Chou, H.T., Chen, K.W., Fan, S.: Robust and efficient adaptive direct lighting estimation. Vis. Comput. 31(1), 83\u201391 (2014)","journal-title":"Vis. Comput."},{"issue":"7","key":"1398_CR16","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1111\/cgf.12220","volume":"32","author":"H Lu","year":"2013","unstructured":"Lu, H., Pacanowski, R., Granier, X.: Second-order approximation for variance reduction in multiple importance sampling. Comput. Graph. Forum 32(7), 131\u2013136 (2013)","journal-title":"Comput. Graph. Forum"},{"key":"1398_CR17","unstructured":"Marin, J.M., Pudlo, P., Sedki, M.: Consistency of the adaptive multiple importance sampling. Preprint \n                        arXiv:1211.2548\n                        \n                     (2012)"},{"key":"1398_CR18","unstructured":"Owen, A., Zhou, Y.: Safe and effective importance sampling. J. Am. Stat. Assoc. 95, 135\u2013143 (2000)"},{"key":"1398_CR19","volume-title":"Simulation and the Monte Carlo Method. Wiley Series in Probability and Statistics","author":"R Rubinstein","year":"2008","unstructured":"Rubinstein, R., Kroese, D.: Simulation and the Monte Carlo Method. Wiley Series in Probability and Statistics. Wiley, New York (2008)"},{"issue":"7","key":"1398_CR20","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1111\/cgf.13042","volume":"35","author":"M Sbert","year":"2016","unstructured":"Sbert, M., Havran, V., Szirmay-Kalos, L.: Variance analysis of multi-sample and one-sample multiple importance sampling. Comput. Graph. Forum 35(7), 451\u2013460 (2016)","journal-title":"Comput. Graph. Forum"},{"key":"1398_CR21","doi-asserted-by":"crossref","unstructured":"Tokuyoshi, Y., Ogaki, S., Sebastian, S.: Final Gathering Using Adaptive Multiple Importance Sampling. In: ACM SIGGRAPH ASIA 2010 Posters, SA \u201910, pp. 47:1\u201347:1. ACM, New York, USA (2010)","DOI":"10.1145\/1900354.1900407"},{"key":"1398_CR22","unstructured":"Veach, E.: Robust Monte Carlo methods for light transport simulation. Ph.D. thesis, Stanford University (1997)"},{"key":"1398_CR23","doi-asserted-by":"crossref","unstructured":"Veach, E., Guibas, L.J.: Optimally combining sampling techniques for Monte Carlo rendering. In: Proceedings of SIGGRAPH \u201995, pp. 419\u2013428. ACM, New York (1995)","DOI":"10.1145\/218380.218498"}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00371-017-1398-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-017-1398-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-017-1398-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,31]],"date-time":"2017-05-31T04:46:51Z","timestamp":1496206011000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00371-017-1398-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,11]]},"references-count":23,"journal-issue":{"issue":"6-8","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["1398"],"URL":"https:\/\/doi.org\/10.1007\/s00371-017-1398-1","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"type":"print","value":"0178-2789"},{"type":"electronic","value":"1432-2315"}],"subject":[],"published":{"date-parts":[[2017,5,11]]}}}