{"id":"https://openalex.org/W2295863165","doi":"https://doi.org/10.1007/978-3-319-25040-3_1","title":"Evolution Equations with Anisotropic Distributions and Diffusion PCA","display_name":"Evolution Equations with Anisotropic Distributions and Diffusion PCA","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2295863165","doi":"https://doi.org/10.1007/978-3-319-25040-3_1","mag":"2295863165"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-25040-3_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-25040-3_1","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/A5103194945","display_name":"Stefan Sommer","orcid":"https://orcid.org/0000-0001-6784-0328"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Stefan Sommer","raw_affiliation_strings":["Department of Computer Science, University of Copenhagen, Copenhagen, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Copenhagen, Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103194945"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.8121,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91957511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9995999932289124,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9254000186920166,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.815418004989624},{"id":"https://openalex.org/keywords/statistical-manifold","display_name":"Statistical manifold","score":0.6535617113113403},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.5893635153770447},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5890685319900513},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5729138851165771},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5517199635505676},{"id":"https://openalex.org/keywords/information-geometry","display_name":"Information geometry","score":0.5493202209472656},{"id":"https://openalex.org/keywords/solving-the-geodesic-equations","display_name":"Solving the geodesic equations","score":0.5471245050430298},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.4917784035205841},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45670127868652344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4431513547897339},{"id":"https://openalex.org/keywords/parallel-transport","display_name":"Parallel transport","score":0.4417085349559784},{"id":"https://openalex.org/keywords/exponential-map","display_name":"Exponential map (Riemannian geometry)","score":0.44047796726226807},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3420901894569397},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.3401150405406952},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22008633613586426},{"id":"https://openalex.org/keywords/sectional-curvature","display_name":"Sectional curvature","score":0.1024828851222992},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.09686833620071411}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.815418004989624},{"id":"https://openalex.org/C169391604","wikidata":"https://www.wikidata.org/wiki/Q7604402","display_name":"Statistical manifold","level":5,"score":0.6535617113113403},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.5893635153770447},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5890685319900513},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5729138851165771},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5517199635505676},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.5493202209472656},{"id":"https://openalex.org/C161773026","wikidata":"https://www.wikidata.org/wiki/Q7559041","display_name":"Solving the geodesic equations","level":3,"score":0.5471245050430298},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.4917784035205841},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45670127868652344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4431513547897339},{"id":"https://openalex.org/C106953101","wikidata":"https://www.wikidata.org/wiki/Q1814838","display_name":"Parallel transport","level":2,"score":0.4417085349559784},{"id":"https://openalex.org/C102224218","wikidata":"https://www.wikidata.org/wiki/Q25344559","display_name":"Exponential map (Riemannian geometry)","level":5,"score":0.44047796726226807},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3420901894569397},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.3401150405406952},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22008633613586426},{"id":"https://openalex.org/C42448751","wikidata":"https://www.wikidata.org/wiki/Q855622","display_name":"Sectional curvature","level":4,"score":0.1024828851222992},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.09686833620071411},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-25040-3_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-25040-3_1","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:pure.atira.dk:openaire_cris_publications/2f4917b2-4095-4add-a364-91b296e38b38","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/2f4917b2-4095-4add-a364-91b296e38b38","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sommer , S H 2015 , Evolution equations with anisotropic distributions and diffusion PCA . in F Nielsen & F Barbaresco (eds) , Geometric science of information : Second International Conference, GSI 2015, Palaiseau, France, October 28\u201330, 2015, Proceedings . Springer Science+Business Media , Lecture notes in computer science , vol. 9389 , pp. 3-11 , International Conference, GSI 2015 , Palaiseau , France , 28/10/2015 . https://doi.org/10.1007/978-3-319-25040-3_1","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.4300000071525574,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W21251301","https://openalex.org/W238700262","https://openalex.org/W586270867","https://openalex.org/W848340010","https://openalex.org/W1512416545","https://openalex.org/W1556874421","https://openalex.org/W1599935046","https://openalex.org/W1852328762","https://openalex.org/W2012380373","https://openalex.org/W2081834074","https://openalex.org/W2125027820","https://openalex.org/W2125949583","https://openalex.org/W2148862398","https://openalex.org/W2175834125","https://openalex.org/W2184041750","https://openalex.org/W2278045158","https://openalex.org/W4295632409"],"related_works":["https://openalex.org/W4291625303","https://openalex.org/W2737579912","https://openalex.org/W4300760355","https://openalex.org/W2949438187","https://openalex.org/W2059474323","https://openalex.org/W3184943628","https://openalex.org/W2164995684","https://openalex.org/W1532125927","https://openalex.org/W2999284236","https://openalex.org/W2511645843"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-16T09:10:04.655348","created_date":"2025-10-10T00:00:00"}