{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T13:11:48Z","timestamp":1777986708980,"version":"3.51.4"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T00:00:00Z","timestamp":1468540800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T00:00:00Z","timestamp":1468540800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1447721"],"award-info":[{"award-number":["1447721"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000185","name":"Defense Advanced Research Projects Agency","doi-asserted-by":"publisher","award":["LORELEI HR0011-15-2-0022"],"award-info":[{"award-number":["LORELEI HR0011-15-2-0022"]}],"id":[{"id":"10.13039\/100000185","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1007\/s11222-016-9681-y","type":"journal-article","created":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T12:39:41Z","timestamp":1468586381000},"page":"1205-1223","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Restricted Indian buffet processes"],"prefix":"10.1007","volume":"27","author":[{"given":"Finale","family":"Doshi-Velez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sinead A.","family":"Williamson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,7,15]]},"reference":[{"key":"9681_CR1","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1023\/A:1010091628740","volume":"1","author":"N Aires","year":"1999","unstructured":"Aires, N.: Algorithms to find exact inclusion probabilities for conditional Poisson sampling and Pareto $$\\pi $$ps sampling designs. Methodol. Comput. Appl. Probab. 1, 457\u2013469 (1999)","journal-title":"Methodol. Comput. Appl. Probab."},{"key":"9681_CR2","doi-asserted-by":"crossref","unstructured":"Aldous, D.: Exchangeability and related topics. In: Ecole d\u2019Ete St Flour, number 1117 in Springer Lecture Notes in Mathematics, pp. 1\u2013198. Springer (1983)","DOI":"10.1007\/BFb0099421"},{"issue":"4","key":"9681_CR3","doi-asserted-by":"publisher","first-page":"929","DOI":"10.1017\/S0001867800009538","volume":"31","author":"A Brix","year":"1999","unstructured":"Brix, A.: Generalized gamma measures and shot-noise Cox processes. Adv. Appl. Probab. 31(4), 929\u2013953 (1999)","journal-title":"Adv. Appl. Probab."},{"issue":"2","key":"9681_CR4","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1109\/TPAMI.2014.2318721","volume":"37","author":"T Broderick","year":"2015","unstructured":"Broderick, T., Mackey, L., Paisley, J., Jordan, M., et al.: Combinatorial clustering and the beta negative binomial process. Pattern. Anal. Mach. Intell. 37(2), 290\u2013306 (2015)","journal-title":"Pattern. Anal. Mach. Intell."},{"key":"9681_CR5","unstructured":"Broderick, T., Wilson, A., Jordan, M.: Posteriors, conjugacy, and exponential families for completely random measures. Bernoulli (2014). \n                    arXiv:1410.6843v1"},{"key":"9681_CR6","first-page":"247","volume":"34","author":"G Brostrom","year":"2000","unstructured":"Brostrom, G., Nilsson, L.: Acceptance-rejection sampling from the conditional distribution of independent discrete random variables, given their sum. Stat. J. Theor. Appl. Stat. 34, 247\u2013257 (2000)","journal-title":"Stat. J. Theor. Appl. Stat."},{"key":"9681_CR7","unstructured":"Caron, F.: Bayesian nonparametric models for bipartite graphs. In: Advances in Neural Information Processing Systems, vol. 25, pp. 2051\u20132059. (2012)"},{"key":"9681_CR8","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1006\/jmva.1999.1872","volume":"74","author":"SX Chen","year":"2000","unstructured":"Chen, S.X.: General properties and estimation of conditional Bernoulli models. J. Multivar. Anal. 74, 69\u201387 (2000)","journal-title":"J. Multivar. Anal."},{"key":"9681_CR9","unstructured":"Doshi, F., Miller, K.T., Van Gael, J.,Teh, Y.W.: Variational inference for the Indian buffet process. In: Artificial Intelligence and Statistics, vol. 12, pp. 137\u2013144. (2009)"},{"key":"9681_CR10","unstructured":"Doshi-Velez, F., Ghahramani, Z.: Correlated non-parametric latent feature models. In: Uncertainty in Artificial Intelligence, vol. 12, pp. 143\u2013150. (2009)"},{"issue":"5","key":"9681_CR11","doi-asserted-by":"publisher","first-page":"1634","DOI":"10.1214\/aoms\/1177692395","volume":"43","author":"TS Ferguson","year":"1972","unstructured":"Ferguson, T.S., Klass, M.J.: A representation of independent increment processes without Gaussian components. Ann. Math. Stat. 43(5), 1634\u20131643 (1972)","journal-title":"Ann. Math. Stat."},{"key":"9681_CR12","unstructured":"Fox, E., Jordan, M., Sudderth, E., Willsky, A.: Sharing features among dynamical systems with beta processes. In: Advances in Neural Information Processing Systems, vol. 22, pp. 549\u2013557. (2009)"},{"key":"9681_CR13","unstructured":"Gerber, H.U., Shiu, E.S.: Option pricing by Esscher transforms. HEC Ecole des hautes \u00e9tudes commerciales (1993)"},{"key":"9681_CR14","doi-asserted-by":"crossref","unstructured":"G\u00f6r\u00fcr, D., J\u00e4kel, F., Rasmussen, C.E.: A choice model with infinitely many latent features. In: International Conference of Machine Learning, vol. 23, pp. 361\u2013368. (2006)","DOI":"10.1145\/1143844.1143890"},{"key":"9681_CR15","first-page":"1185","volume":"12","author":"TL Griffiths","year":"2011","unstructured":"Griffiths, T.L., Ghahramani, Z.: The Indian buffet process: an introduction and review. J. Mach. Learn. Res. 12, 1185\u20131224 (2011)","journal-title":"J. Mach. Learn. Res."},{"key":"9681_CR16","unstructured":"Gupta, S., Phung, D., Venkatesh, S.: Factorial multi-task learning: a Bayesian nonparametric approach. In: International Conference of Machine Learning, vol. 30, pp. 657\u2013665. (2013)"},{"key":"9681_CR17","volume-title":"Sampling with Unequal Probabilities","author":"M Hanif","year":"1983","unstructured":"Hanif, M., Brewer, K.R.W.: Sampling with Unequal Probabilities. Springer-Verlag, New York (1983)"},{"key":"9681_CR18","doi-asserted-by":"publisher","first-page":"1259","DOI":"10.1214\/aos\/1176347749","volume":"18","author":"NL Hjort","year":"1990","unstructured":"Hjort, N.L.: Nonparametric Bayes estimators based on beta processes in models for life history data. Ann. Stat. 18, 1259\u20131294 (1990)","journal-title":"Ann. Stat."},{"issue":"1","key":"9681_CR19","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1111\/j.1467-9469.2008.00609.x","volume":"36","author":"L James","year":"2009","unstructured":"James, L., Lijoi, A., Pr\u00fcnster, I.: Posterior analysis for normalized random measures with independent increments. Scand. J. Stat. 36(1), 76\u201397 (2009)","journal-title":"Scand. J. Stat."},{"issue":"2","key":"9681_CR20","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1214\/009053604000001237","volume":"33","author":"LF James","year":"2005","unstructured":"James, L.F.: Functionals of Dirichlet processes, the Cifarelli-Regazzini identity and beta-gamma processes. Ann. Stat. 33(2), 647\u2013660 (2005)","journal-title":"Ann. Stat."},{"issue":"1","key":"9681_CR21","doi-asserted-by":"publisher","first-page":"59","DOI":"10.2140\/pjm.1967.21.59","volume":"21","author":"J Kingman","year":"1967","unstructured":"Kingman, J.: Completely random measures. Pac. J. Math. 21(1), 59\u201378 (1967)","journal-title":"Pac. J. Math."},{"key":"9681_CR22","doi-asserted-by":"crossref","unstructured":"Knowles, D., Ghahramani, Z.: Infinite sparse factor analysis and infinite independent components analysis. In: Independent Component Analysis and Signal Separation, vol. 7, pp. 381\u2013388. (2007)","DOI":"10.1007\/978-3-540-74494-8_48"},{"issue":"5B","key":"9681_CR23","doi-asserted-by":"publisher","first-page":"2590","DOI":"10.3150\/12-BEJ467","volume":"19","author":"JW Lau","year":"2013","unstructured":"Lau, J.W.: A conjugate class of random probability measures based on tilting and with its posterior analysis. Bernoulli 19(5B), 2590\u20132626 (2013)","journal-title":"Bernoulli"},{"key":"9681_CR24","unstructured":"Miller, K.T., Griffiths, T., Jordan, M.I.: The phylogenetic Indian buffet process: a non-exchangeable nonparametric prior for latent features. In: Uncertainty in Artificial Intelligence, vol. 24, pp. 403\u2013410. (2008)"},{"key":"9681_CR25","unstructured":"Miller, K.T., Griffiths, T.L., Jordan, M.I.: Nonparametric latent feature models for link prediction. In: Advances in Neural Information Processing Systems, vol. 22, pp. 1276\u20131284. (2009)"},{"key":"9681_CR26","unstructured":"Orbanz, P.: Construction of nonparametric Bayesian models from parametric Bayes equations. In: Advances in Neural Information Processing Systems, vol. 22, pp. 1392\u20131400. (2009)"},{"issue":"1","key":"9681_CR27","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1093\/biomet\/asm086","volume":"95","author":"O Papaspiliopoulos","year":"2008","unstructured":"Papaspiliopoulos, O., Roberts, G.O.: Retrospective Markov chain Monte Carlo methods for Dirichlet process hierarchical models. Biometrika 95(1), 169\u2013186 (2008)","journal-title":"Biometrika"},{"issue":"2","key":"9681_CR28","doi-asserted-by":"publisher","first-page":"855","DOI":"10.1214\/aop\/1024404422","volume":"25","author":"J Pitman","year":"1997","unstructured":"Pitman, J., Yor, M.: The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Ann. Probab. 25(2), 855\u2013900 (1997)","journal-title":"Ann. Probab."},{"key":"9681_CR29","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/978-1-4612-0197-7_18","volume-title":"L\u00e9vy Processes","author":"J Rosiski","year":"2001","unstructured":"Rosiski, J.: Series representations of L\u00e9vy processes from the perspective of point processes. In: Barndorff-Nielsen, O., Resnick, S., Mikosch, T. (eds.) L\u00e9vy Processes, pp. 401\u2013415. Birkhuser, Boston (2001)"},{"key":"9681_CR30","first-page":"1215","volume":"15","author":"F Ruiz","year":"2014","unstructured":"Ruiz, F., Valera, I., Blanco, C., Perez-Cruz, F.: Bayesian nonparametric comorbidity analysis of psychiatric disorders. J. Mach. Learn. Res. 15, 1215\u20131247 (2014)","journal-title":"J. Mach. Learn. Res."},{"key":"9681_CR31","unstructured":"Saeedi, A., Bouchard-C\u00f4t\u00e9, A.: Priors over recurrent continuous time processes. In: Advances in Neural Information Processing Systems, vol. 24, pp. 2052\u20132060. (2011)"},{"key":"9681_CR32","doi-asserted-by":"crossref","unstructured":"Teh, Y.: A hierarchical Bayesian language model based on Pitman\u2013Yor processes. In: International Conference on Computational Linguistics, vol. 21, pp. 985\u2013992. (2006)","DOI":"10.3115\/1220175.1220299"},{"key":"9681_CR33","unstructured":"Teh, Y. W., G\u00f6r\u00fcr, D.: Indian buffet processes with power-law behavior. In: Advances in Neural Information Processing Systems, vol. 22, pp. 1838\u20131846. (2009)"},{"key":"9681_CR34","unstructured":"Teh, Y. W., G\u00f6r\u00fcr, D., Ghahramani, Z.: Stick-breaking construction for the Indian buffet process. In: Artificial Intelligence and Statistics, vol. 11, pp. 556\u2013563. (2007)"},{"key":"9681_CR35","unstructured":"Thibaux, R., Jordan, M. I.: Hierarchical beta processes and the Indian buffet process. In: Artificial Intelligence and Statistics, vol. 11, pp. 564\u2013571. (2007)"},{"key":"9681_CR36","unstructured":"Titsias, M.: The infinite gamma-Poisson feature model. In: Advances in Neural Information Processing Systems, vol. 21, pp. 1513\u20131520. (2008)"},{"key":"9681_CR37","first-page":"1305","volume":"1","author":"MJ Wainwright","year":"2008","unstructured":"Wainwright, M.J., Jordan, M.I.: Graphical models, exponential families, and variational inference. Found. Trends Mach. Learn. 1, 1305 (2008)","journal-title":"Found. Trends Mach. Learn."},{"key":"9681_CR38","unstructured":"Williamson, S.A., MacEachern, S.N., Xing, E.P.: Restricting exchangeable nonparametric distributions. In: Advances in Neural Information Processing Systems, vol. 26, pp. 2598\u20132606. (2013)"},{"key":"9681_CR39","unstructured":"Zhou, M., Chen, H., Paisley, J., Ren, L., Sapiro, G., Carin, L.: Non-parametric Bayesian dictionary learning for sparse image representations. In: Advances in Neural Information Processing Systems, vol. 22, pp. 2295\u20132303. (2009)"},{"key":"9681_CR40","unstructured":"Zhou, M., Hannah, L., Dunson, D., Carin, L.: Beta-negative binomial process and Poisson factor analysis. In: Artificial Intelligence and Statistics, vol. 15, pp. 1462\u20131471. (2012)"}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11222-016-9681-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-016-9681-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-016-9681-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-016-9681-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T07:41:56Z","timestamp":1589701316000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11222-016-9681-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,15]]},"references-count":40,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2017,9]]}},"alternative-id":["9681"],"URL":"https:\/\/doi.org\/10.1007\/s11222-016-9681-y","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"value":"0960-3174","type":"print"},{"value":"1573-1375","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7,15]]},"assertion":[{"value":"20 August 2015","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2016","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 July 2016","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}