{"id":"https://openalex.org/W2799119023","doi":"https://doi.org/10.1007/978-3-319-96418-8_48","title":"Solving the Likelihood Equations to Compute Euler Obstruction Functions","display_name":"Solving the Likelihood Equations to Compute Euler Obstruction Functions","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2799119023","doi":"https://doi.org/10.1007/978-3-319-96418-8_48","mag":"2799119023"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-96418-8_48","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96418-8_48","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1804.10936","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039894662","display_name":"Jose Israel Rodriguez","orcid":"https://orcid.org/0000-0003-3140-9944"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jose Israel Rodriguez","raw_affiliation_strings":["Department of Statistics, University of Chicago, Chicago, IL, 60637, USA","Department of Statistics University of Chicago Chicago USA"],"raw_orcid":"https://orcid.org/0000-0003-3140-9944","affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Chicago, Chicago, IL, 60637, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Department of Statistics University of Chicago Chicago USA","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039894662"],"corresponding_institution_ids":["https://openalex.org/I40347166"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05746499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"405","last_page":"413"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9745000004768372,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.73163902759552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6848021745681763},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5852185487747192},{"id":"https://openalex.org/keywords/singular-point-of-an-algebraic-variety","display_name":"Singular point of an algebraic variety","score":0.5754563808441162},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.49993443489074707},{"id":"https://openalex.org/keywords/algebraic-variety","display_name":"Algebraic variety","score":0.4949638247489929},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4257264733314514},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40475213527679443},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37067514657974243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3040366768836975}],"concepts":[{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.73163902759552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6848021745681763},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5852185487747192},{"id":"https://openalex.org/C201482947","wikidata":"https://www.wikidata.org/wiki/Q7524253","display_name":"Singular point of an algebraic variety","level":5,"score":0.5754563808441162},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.49993443489074707},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.4949638247489929},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4257264733314514},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40475213527679443},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37067514657974243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3040366768836975},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-319-96418-8_48","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96418-8_48","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1804.10936","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.10936","pdf_url":"https://arxiv.org/pdf/1804.10936","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2799119023","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1804.10936.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1804.10936","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1804.10936","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1804.10936","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.10936","pdf_url":"https://arxiv.org/pdf/1804.10936","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W608741895","https://openalex.org/W1614570815","https://openalex.org/W1849456638","https://openalex.org/W1994955844","https://openalex.org/W2001588532","https://openalex.org/W2012868913","https://openalex.org/W2038981201","https://openalex.org/W2040177378","https://openalex.org/W2063677935","https://openalex.org/W2069641044","https://openalex.org/W2090551280","https://openalex.org/W2108917139","https://openalex.org/W2125561810","https://openalex.org/W2130590509","https://openalex.org/W2143628714","https://openalex.org/W2746856089","https://openalex.org/W2950293981","https://openalex.org/W2962879904","https://openalex.org/W3038124051","https://openalex.org/W3099065760","https://openalex.org/W4298231803"],"related_works":["https://openalex.org/W2964074565","https://openalex.org/W2761832608","https://openalex.org/W2800133960","https://openalex.org/W2821774730","https://openalex.org/W2766905083","https://openalex.org/W2186870653","https://openalex.org/W2072568765","https://openalex.org/W2962949415","https://openalex.org/W57482455","https://openalex.org/W2508521651","https://openalex.org/W1571447891","https://openalex.org/W2220846421","https://openalex.org/W2567177661","https://openalex.org/W1876705831","https://openalex.org/W2963062400","https://openalex.org/W2326878727","https://openalex.org/W2036147499","https://openalex.org/W1004937150","https://openalex.org/W2137815841","https://openalex.org/W1517169463"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-10T00:00:00"}