{"id":"https://openalex.org/W3158673995","doi":"https://doi.org/10.1007/978-3-030-75549-2_32","title":"On the Geometric Mechanics of Assignment Flows for Metric Data Labeling","display_name":"On the Geometric Mechanics of Assignment Flows for Metric Data Labeling","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3158673995","doi":"https://doi.org/10.1007/978-3-030-75549-2_32","mag":"3158673995"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-75549-2_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-75549-2_32","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":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067680750","display_name":"Fabrizio Savarino","orcid":"https://orcid.org/0000-0001-9629-8486"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Fabrizio Savarino","raw_affiliation_strings":["Institute of Applied Mathematics, Heidelberg University, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9629-8486","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090909591","display_name":"Peter Albers","orcid":"https://orcid.org/0000-0002-7324-0609"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Albers","raw_affiliation_strings":["Mathematical Institute, Heidelberg University, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-7324-0609","affiliations":[{"raw_affiliation_string":"Mathematical Institute, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088815590","display_name":"Christoph Schn\u00f6rr","orcid":"https://orcid.org/0000-0002-8999-2338"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Schn\u00f6rr","raw_affiliation_strings":["Institute of Applied Mathematics, Heidelberg University, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8999-2338","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067680750"],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6354,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.84992633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"398","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9915000200271606,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9915000200271606,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.986299991607666,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/simplex","display_name":"Simplex","score":0.6075401306152344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5759313702583313},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5557966828346252},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.554470956325531},{"id":"https://openalex.org/keywords/replicator-equation","display_name":"Replicator equation","score":0.5147135853767395},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4762820601463318},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.46519148349761963},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4280800223350525},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4137137830257416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3292091190814972},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32545775175094604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13715672492980957},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.125486820936203},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10222816467285156}],"concepts":[{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6075401306152344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5759313702583313},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5557966828346252},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.554470956325531},{"id":"https://openalex.org/C50318809","wikidata":"https://www.wikidata.org/wiki/Q2145081","display_name":"Replicator equation","level":3,"score":0.5147135853767395},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4762820601463318},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.46519148349761963},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4280800223350525},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4137137830257416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3292091190814972},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32545775175094604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13715672492980957},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.125486820936203},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10222816467285156},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-75549-2_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-75549-2_32","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1525296983","https://openalex.org/W1567092208","https://openalex.org/W1573082642","https://openalex.org/W1804110266","https://openalex.org/W2036083037","https://openalex.org/W2300087321","https://openalex.org/W2896405912","https://openalex.org/W2907049010","https://openalex.org/W2912337111","https://openalex.org/W3082829568","https://openalex.org/W3102386063","https://openalex.org/W4205293427","https://openalex.org/W4211095127","https://openalex.org/W4229633200","https://openalex.org/W4230394162","https://openalex.org/W4245453241","https://openalex.org/W4247163269","https://openalex.org/W4248613038","https://openalex.org/W4292023735"],"related_works":["https://openalex.org/W2063021680","https://openalex.org/W2357922472","https://openalex.org/W2492651500","https://openalex.org/W1615974028","https://openalex.org/W2384278689","https://openalex.org/W2386777115","https://openalex.org/W2563365141","https://openalex.org/W2142283420","https://openalex.org/W2888513445","https://openalex.org/W2138006133"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
