{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,24]],"date-time":"2026-09-24T22:19:04Z","timestamp":1790288344195,"version":"4.1.0"},"reference-count":22,"publisher":"Association for Computing Machinery (ACM)","issue":"1","license":[{"start":{"date-parts":[[2021,6,15]],"date-time":"2021-06-15T00:00:00Z","timestamp":1623715200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGMOD Rec."],"published-print":{"date-parts":[[2021,6,15]]},"abstract":"<jats:p>Statistical models of real world data typically involve continuous probability distributions such as normal, Laplace, or exponential distributions. Such distributions are supported by many probabilistic modelling formalisms, including probabilistic database systems. Yet, the traditional theoretical framework of probabilistic databases focuses entirely on finite probabilistic databases.<\/jats:p>\n          <jats:p>Only recently, we set out to develop the mathematical theory of infinite probabilistic databases. The present paper is an exposition of two recent papers which are cornerstones of this theory. In (Grohe, Lindner; ICDT 2020) we propose a very general framework for probabilistic databases, possibly involving continuous probability distributions, and show that queries have a well-defined semantics in this framework. In (Grohe, Kaminski, Katoen, Lindner; PODS 2020) we extend the declarative probabilistic programming language Generative Datalog, proposed by (B\u00b4ar\u00b4any et al. 2017) for discrete probability distributions, to continuous probability distributions and show that such programs yield generative models of continuous probabilistic databases.<\/jats:p>","DOI":"10.1145\/3471485.3471502","type":"journal-article","created":{"date-parts":[[2021,6,18]],"date-time":"2021-06-18T05:22:06Z","timestamp":1623993726000},"page":"69-76","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Probabilistic Data with Continuous Distributions"],"prefix":"10.1145","volume":"50","author":[{"given":"Martin","family":"Grohe","sequence":"first","affiliation":[{"name":"RWTH Aachen University, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Benjamin","family":"Lucien Kaminski","sequence":"additional","affiliation":[{"name":"University College London, London, United Kingdom"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joost-Pieter","family":"Katoen","sequence":"additional","affiliation":[{"name":"RWTH Aachen University, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter","family":"Lindner","sequence":"additional","affiliation":[{"name":"RWTH Aachen University, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2021,6,17]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.5555\/551350"},{"key":"e_1_2_1_2_1","first-page":"17","volume-title":"Proc. VLDB Workshop on Management of Uncertain Data","author":"Agrawal P.","year":"2009","unstructured":"P. Agrawal and J. Widom . Continuous Uncertainty in Trio . In Proc. VLDB Workshop on Management of Uncertain Data , pages 17 -- 32 , 2009 . P. Agrawal and J. Widom. Continuous Uncertainty in Trio. In Proc. VLDB Workshop on Management of Uncertain Data, pages 17--32, 2009."},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/3132700"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1017\/9781108770750"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-32033-3_24"},{"key":"e_1_2_1_6_1","first-page":"09511","article-title":"Tuple-independent representations of infinite probabilistic databases","author":"Carmeli N.","year":"2008","unstructured":"N. Carmeli , M. Grohe , P. Lindner , and C. Standke . Tuple-independent representations of infinite probabilistic databases . ArXiv , 2008 . 09511 , 2020. N. Carmeli, M. Grohe, P. Lindner, and C. Standke. Tuple-independent representations of infinite probabilistic databases. ArXiv, 2008.09511, 2020.","journal-title":"ArXiv"},{"key":"e_1_2_1_7_1","volume-title":"An Introduction to the Theory of Point Processes, Volume I: Elementary Theory and Models. Probability and Its Applications","author":"Daley D. J.","year":"2003","unstructured":"D. J. Daley and D. Vere-Jones . An Introduction to the Theory of Point Processes, Volume I: Elementary Theory and Models. Probability and Its Applications . Springer , 2 nd edition, 2003 . D. J. Daley and D. Vere-Jones. An Introduction to the Theory of Point Processes, Volume I: Elementary Theory and Models. Probability and Its Applications. Springer, 2nd edition, 2003.","edition":"2"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.5555\/1625275.1625673"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/3375395.3387659"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/3294052.3319681"},{"key":"e_1_2_1_11_1","first-page":"00096","article-title":"Independence in infinite probabilistic databases","author":"Grohe M.","year":"2011","unstructured":"M. Grohe and P. Lindner . Independence in infinite probabilistic databases . ArXiv , 2011 . 00096 , 2020. M. Grohe and P. Lindner. Independence in infinite probabilistic databases. ArXiv, 2011.00096, 2020.","journal-title":"ArXiv"},{"key":"e_1_2_1_12_1","first-page":"1","volume-title":"Proc. ICDT 2020","author":"Grohe M.","year":"2020","unstructured":"M. Grohe and P. Lindner . Infinite Probabilistic Databases . In Proc. ICDT 2020 , pages 16: 1 -- 16 :20, 2020 . M. Grohe and P. Lindner. Infinite Probabilistic Databases. In Proc. ICDT 2020, pages 16:1--16:20, 2020."},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/2000824.2000828"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICDE.2010.5447879"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1561\/2200000056"},{"key":"e_1_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.2307\/1425855"},{"key":"e_1_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02545761"},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10994-006-5833-1"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICDE.2008.4497514"},{"key":"e_1_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/3375395.3389129"},{"key":"e_1_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.5555\/2031527"},{"key":"e_1_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.5555\/3164891"}],"container-title":["ACM SIGMOD Record"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3471485.3471502","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3471485.3471502","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T20:17:26Z","timestamp":1750191446000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3471485.3471502"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,15]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,6,15]]}},"alternative-id":["10.1145\/3471485.3471502"],"URL":"https:\/\/doi.org\/10.1145\/3471485.3471502","relation":{},"ISSN":["0163-5808"],"issn-type":[{"value":"0163-5808","type":"print"}],"subject":[],"published":{"date-parts":[[2021,6,15]]},"assertion":[{"value":"2021-06-17","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}