{"id":"https://openalex.org/W3166803250","doi":"https://doi.org/10.1007/978-3-030-80209-7_47","title":"Bridge Simulation and Metric Estimation on Lie Groups","display_name":"Bridge Simulation and Metric Estimation on Lie Groups","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3166803250","doi":"https://doi.org/10.1007/978-3-030-80209-7_47","mag":"3166803250"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-80209-7_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_47","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/2106.03431","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015550888","display_name":"Mathias H\u00f8jgaard Jensen","orcid":"https://orcid.org/0000-0002-0320-7897"},"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":"Mathias H\u00f8jgaard Jensen","raw_affiliation_strings":["Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100, Copenhagen, Denmark","University of Copenhagen"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100, Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"University of Copenhagen","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102835648","display_name":"Sarang Joshi","orcid":"https://orcid.org/0000-0002-3446-4810"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"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","US"],"is_corresponding":false,"raw_author_name":"Sarang Joshi","raw_affiliation_strings":["Department of Biomedical Engineering, University of Utah, 72\u00a0S Central Campus Drive, Salt Lake City, UT, 84112, USA","University of Copenhagen"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, University of Utah, 72\u00a0S Central Campus Drive, Salt Lake City, UT, 84112, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Copenhagen","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"Stefan Sommer","raw_affiliation_strings":["Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100, Copenhagen, Denmark","University of Utah"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100, Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015550888"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"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":0.12298423,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"430","last_page":"438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9950000047683716,"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"}},{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/brownian-bridge","display_name":"Brownian bridge","score":0.8389472961425781},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7253576517105103},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.687938392162323},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.643671452999115},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.612121045589447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6107609272003174},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.6077536344528198},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.5476568341255188},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.5208885669708252},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.43679213523864746},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3474329113960266},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33759671449661255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26957735419273376},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24279725551605225},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14207938313484192},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11639687418937683},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08592060208320618},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0653548538684845}],"concepts":[{"id":"https://openalex.org/C78651780","wikidata":"https://www.wikidata.org/wiki/Q628309","display_name":"Brownian bridge","level":3,"score":0.8389472961425781},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7253576517105103},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.687938392162323},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.643671452999115},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.612121045589447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6107609272003174},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.6077536344528198},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.5476568341255188},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.5208885669708252},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.43679213523864746},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3474329113960266},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33759671449661255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26957735419273376},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24279725551605225},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14207938313484192},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11639687418937683},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08592060208320618},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0653548538684845},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-80209-7_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_47","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:2106.03431","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.03431","pdf_url":"https://arxiv.org/pdf/2106.03431","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":null},{"id":"mag:3166803250","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2106.03431","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.2106.03431","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2106.03431","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2106.03431","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.03431","pdf_url":"https://arxiv.org/pdf/2106.03431","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":null},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4099999964237213,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1508776097","https://openalex.org/W1527131282","https://openalex.org/W1987526251","https://openalex.org/W2005669468","https://openalex.org/W2048949090","https://openalex.org/W2090041803","https://openalex.org/W2131332275","https://openalex.org/W2411474108","https://openalex.org/W2963772315","https://openalex.org/W4300900232","https://openalex.org/W6638720790"],"related_works":["https://openalex.org/W2765196035","https://openalex.org/W2899774684","https://openalex.org/W2949235510","https://openalex.org/W1501994587","https://openalex.org/W3092219311","https://openalex.org/W3004549116","https://openalex.org/W2963969899","https://openalex.org/W2052211901","https://openalex.org/W2035598542","https://openalex.org/W2125886176","https://openalex.org/W3083187399","https://openalex.org/W2529999489","https://openalex.org/W3098000211","https://openalex.org/W3035211723","https://openalex.org/W3103370371","https://openalex.org/W2149263910","https://openalex.org/W3213496558","https://openalex.org/W2049728615","https://openalex.org/W2975394574","https://openalex.org/W3213644387"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}