{"id":"https://openalex.org/W1590970202","doi":"https://doi.org/10.1023/a:1007604231716","title":"Markov Processes on Curves","display_name":"Markov Processes on Curves","publication_year":2000,"publication_date":"2000-12-01","ids":{"openalex":"https://openalex.org/W1590970202","doi":"https://doi.org/10.1023/a:1007604231716","mag":"1590970202"},"language":"en","primary_location":{"id":"doi:10.1023/a:1007604231716","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007604231716","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007604231716.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1023/A:1007604231716.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103354854","display_name":"Lawrence K. Saul","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lawrence K. Saul","raw_affiliation_strings":["AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ, 07932, USA","AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ 07932, USA.  lsaul@research.att.com"],"affiliations":[{"raw_affiliation_string":"AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ, 07932, USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ 07932, USA.  lsaul@research.att.com","institution_ids":["https://openalex.org/I1283103587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109219016","display_name":"Mazin G. Rahim","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mazin G. Rahim","raw_affiliation_strings":["AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ, 07932, USA","AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ 07932, USA. mazin@research.att.com#TAB#"],"affiliations":[{"raw_affiliation_string":"AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ, 07932, USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT&T Labs\u2014Research, 180 Park Ave., Florham Park, NJ 07932, USA. mazin@research.att.com#TAB#","institution_ids":["https://openalex.org/I1283103587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103354854"],"corresponding_institution_ids":["https://openalex.org/I1283103587"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5328,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74976156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"41","issue":"3","first_page":"345","last_page":"363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9937000274658203,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9937000274658203,"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/T11309","display_name":"Music and Audio Processing","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9889000058174133,"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/arc-length","display_name":"Arc length","score":0.6728506088256836},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.6621695160865784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5822862386703491},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4893485903739929},{"id":"https://openalex.org/keywords/hidden-markov-model","display_name":"Hidden Markov model","score":0.4700891971588135},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.44813403487205505},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.43582600355148315},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4355141818523407},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4120684564113617},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3956947922706604},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3428746461868286},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30037009716033936},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.2575773596763611},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24827072024345398},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1804274022579193},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1645614206790924},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11775964498519897}],"concepts":[{"id":"https://openalex.org/C22251595","wikidata":"https://www.wikidata.org/wiki/Q670036","display_name":"Arc length","level":3,"score":0.6728506088256836},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6621695160865784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5822862386703491},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4893485903739929},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.4700891971588135},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.44813403487205505},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43582600355148315},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4355141818523407},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4120684564113617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3956947922706604},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3428746461868286},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30037009716033936},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.2575773596763611},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24827072024345398},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1804274022579193},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1645614206790924},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11775964498519897},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1007604231716","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007604231716","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007604231716.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1023/a:1007604231716","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007604231716","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007604231716.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1590970202.pdf","grobid_xml":"https://content.openalex.org/works/W1590970202.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1560013842","https://openalex.org/W1565212980","https://openalex.org/W1575431606","https://openalex.org/W1667165204","https://openalex.org/W1991133427","https://openalex.org/W2049633694","https://openalex.org/W2063698478","https://openalex.org/W2083393647","https://openalex.org/W2137291015","https://openalex.org/W2151534206","https://openalex.org/W2159268944","https://openalex.org/W2324309783","https://openalex.org/W2519427229","https://openalex.org/W3016210511","https://openalex.org/W3017143921","https://openalex.org/W3039012497","https://openalex.org/W4234933822","https://openalex.org/W4300528079","https://openalex.org/W4301253858","https://openalex.org/W6633431331","https://openalex.org/W6634053539","https://openalex.org/W6776565550","https://openalex.org/W7024001005","https://openalex.org/W7048074144"],"related_works":["https://openalex.org/W2364370872","https://openalex.org/W2053269318","https://openalex.org/W2025614924","https://openalex.org/W2294335174","https://openalex.org/W3145575561","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}