{"id":"https://openalex.org/W4399889326","doi":"https://doi.org/10.1145/3661814.3662126","title":"A Cartesian Closed Category for Random Variables","display_name":"A Cartesian Closed Category for Random Variables","publication_year":2024,"publication_date":"2024-06-21","ids":{"openalex":"https://openalex.org/W4399889326","doi":"https://doi.org/10.1145/3661814.3662126"},"language":"en","primary_location":{"id":"doi:10.1145/3661814.3662126","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3661814.3662126","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3661814.3662126","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063938532","display_name":"Pietro Di Gianantonio","orcid":"https://orcid.org/0000-0002-0638-4610"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Pietro Di Gianantonio","raw_affiliation_strings":["Dept. of Mathematics, Computing and Physics, University of Udine, Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Computing and Physics, University of Udine, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058087229","display_name":"Abbas Edalat","orcid":"https://orcid.org/0000-0002-6211-1991"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Abbas Edalat","raw_affiliation_strings":["Dept. of Computing, Imperial College, London, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Dept. of Computing, Imperial College, London, United Kingdom","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063938532"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":null,"apc_paid":null,"fwci":0.3626,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63852934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cartesian-closed-category","display_name":"Cartesian closed category","score":0.6380418539047241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5307198762893677},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.45586514472961426},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.42505303025245667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33382320404052734},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.3331902027130127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33283454179763794},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2315554916858673},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1868431568145752},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09196272492408752}],"concepts":[{"id":"https://openalex.org/C171032842","wikidata":"https://www.wikidata.org/wiki/Q1725874","display_name":"Cartesian closed category","level":2,"score":0.6380418539047241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5307198762893677},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.45586514472961426},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.42505303025245667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33382320404052734},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.3331902027130127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33283454179763794},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2315554916858673},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1868431568145752},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09196272492408752}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3661814.3662126","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3661814.3662126","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3661814.3662126","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3661814.3662126","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W327409173","https://openalex.org/W584423923","https://openalex.org/W638902413","https://openalex.org/W643775974","https://openalex.org/W1572053176","https://openalex.org/W1594563152","https://openalex.org/W1888890775","https://openalex.org/W1980180600","https://openalex.org/W2000621909","https://openalex.org/W2009311190","https://openalex.org/W2021982406","https://openalex.org/W2027995896","https://openalex.org/W2049767056","https://openalex.org/W2050807381","https://openalex.org/W2073030937","https://openalex.org/W2082241908","https://openalex.org/W2101444617","https://openalex.org/W2102548545","https://openalex.org/W2108723183","https://openalex.org/W2115154197","https://openalex.org/W2139772363","https://openalex.org/W2152101460","https://openalex.org/W2166644419","https://openalex.org/W2171058032","https://openalex.org/W2529631934","https://openalex.org/W2770908033","https://openalex.org/W2809754822","https://openalex.org/W2900404128","https://openalex.org/W2949151551","https://openalex.org/W3096424428","https://openalex.org/W3124655276","https://openalex.org/W3127594476","https://openalex.org/W3174932274","https://openalex.org/W3177233459","https://openalex.org/W4249095470","https://openalex.org/W4295278043","https://openalex.org/W4384344677","https://openalex.org/W4388298908"],"related_works":["https://openalex.org/W2372920785","https://openalex.org/W2550443614","https://openalex.org/W1693746038","https://openalex.org/W3204019825","https://openalex.org/W3187469014","https://openalex.org/W190761777","https://openalex.org/W1820708574","https://openalex.org/W2990703796","https://openalex.org/W4394867489","https://openalex.org/W2055655203"],"abstract_inverted_index":{"We":[0,33,114],"present":[1],"a":[2,23,26,43,72,92,116,128],"novel,":[3],"yet":[4],"rather":[5],"simple":[6],"construction":[7],"within":[8],"the":[9,36,52,77,82,101,122,134,145,154,169],"traditional":[10],"framework":[11],"of":[12,39,81,124,136,144,147,171],"Scott":[13,37,57,73,84,103,125],"domains":[14,126],"to":[15,18,25,66,132,160],"provide":[16],"semantics":[17,170],"probabilistic":[19,78,172],"programming,":[20],"thus":[21],"obtaining":[22],"solution":[24],"long-standing":[27],"open":[28],"problem":[29],"in":[30,96],"this":[31,109,151],"area.":[32],"work":[34],"with":[35,153],"domain":[38,80,98,104,146],"random":[40,64,137,148],"variables":[41,138,149],"from":[42],"standard":[44,156],"and":[45],"fixed":[46],"probability":[47,69,157],"space---the":[48],"unit":[49],"interval":[50],"or":[51],"Cantor":[53],"space---to":[54],"any":[55,62],"given":[56],"domain.":[58],"The":[59,142],"map":[60,110],"taking":[61],"such":[63],"variable":[65],"its":[67],"corresponding":[68],"distribution":[70],"provides":[71],"continuous":[74],"surjection":[75],"onto":[76],"power":[79],"underlying":[83,102],"domain,":[85],"which":[86],"preserving":[87],"canonical":[88],"basis":[89],"elements,":[90],"establishing":[91],"new":[93],"basic":[94,162],"result":[95],"classical":[97],"theory.":[99],"If":[100],"is":[105,111],"effectively":[106],"given,":[107],"then":[108],"also":[112],"computable.":[113],"obtain":[115],"Cartesian":[117],"closed":[118],"category":[119,123],"by":[120,127],"enriching":[121],"partial":[129],"equivalence":[130,135],"relation":[131],"capture":[133],"on":[139,150],"these":[140],"domains.":[141],"constructor":[143],"category,":[152],"two":[155],"spaces,":[158],"leads":[159],"four":[161],"strong":[163],"commutative":[164],"monads,":[165],"suitable":[166],"for":[167],"defining":[168],"programming.":[173]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
