{"id":"https://openalex.org/W2607224085","doi":"https://doi.org/10.1109/hscma.2017.7895590","title":"Fast computation of cubature formulae for the sphere","display_name":"Fast computation of cubature formulae for the sphere","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2607224085","doi":"https://doi.org/10.1109/hscma.2017.7895590","mag":"2607224085"},"language":"en","primary_location":{"id":"doi:10.1109/hscma.2017.7895590","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hscma.2017.7895590","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Hands-free Speech Communications and Microphone Arrays (HSCMA)","raw_type":"proceedings-article"},"type":"article","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/A5043982558","display_name":"Mark R. Thomas","orcid":"https://orcid.org/0000-0001-7048-7764"},"institutions":[{"id":"https://openalex.org/I4210093996","display_name":"Dolby (United States)","ror":"https://ror.org/01eyenr26","country_code":"US","type":"company","lineage":["https://openalex.org/I4210093996"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark R. P. Thomas","raw_affiliation_strings":["Dolby Laboratories San, Francisco, CA"],"affiliations":[{"raw_affiliation_string":"Dolby Laboratories San, Francisco, CA","institution_ids":["https://openalex.org/I4210093996"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043982558"],"corresponding_institution_ids":["https://openalex.org/I4210093996"],"apc_list":null,"apc_paid":null,"fwci":0.3441,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5546005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":null,"first_page":"201","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.7569124698638916},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.6465715765953064},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5682836174964905},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5145949125289917},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5104348063468933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4786023795604706},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4607122838497162},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45686647295951843},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.423151433467865},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37118738889694214},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3598332703113556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3458762466907501},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.267092764377594}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.7569124698638916},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.6465715765953064},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5682836174964905},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5145949125289917},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5104348063468933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4786023795604706},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4607122838497162},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45686647295951843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.423151433467865},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37118738889694214},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3598332703113556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3458762466907501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.267092764377594},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/hscma.2017.7895590","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hscma.2017.7895590","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Hands-free Speech Communications and Microphone Arrays (HSCMA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W105235566","https://openalex.org/W173501638","https://openalex.org/W1522147216","https://openalex.org/W1970456742","https://openalex.org/W2028006970","https://openalex.org/W2054912417","https://openalex.org/W2068321739","https://openalex.org/W2075107327","https://openalex.org/W2094376710","https://openalex.org/W2110403504","https://openalex.org/W2129501075","https://openalex.org/W2146589072","https://openalex.org/W2158995216","https://openalex.org/W2160525176","https://openalex.org/W2189887275","https://openalex.org/W2517964230","https://openalex.org/W3035438594","https://openalex.org/W6604257822","https://openalex.org/W6607039219"],"related_works":["https://openalex.org/W2016852760","https://openalex.org/W1972403393","https://openalex.org/W3078710903","https://openalex.org/W2787890441","https://openalex.org/W2050511877","https://openalex.org/W3114286735","https://openalex.org/W2960088919","https://openalex.org/W3128946703","https://openalex.org/W2375120501","https://openalex.org/W4311361601"],"abstract_inverted_index":{"The":[0,61],"near-uniform":[1],"distribution":[2],"of":[3,8,30,54,170],"nodes":[4,42,171],"on":[5,51,146],"the":[6,25,52,66,89,124,160,164],"surface":[7,53],"a":[9,55,69,109,129,147,185],"sphere":[10,56],"has":[11,126],"found":[12],"many":[13],"uses":[14],"in":[15,24,134,176,183],"numerical":[16,76,92],"integration,":[17],"physics,":[18],"chemistry,":[19],"crystallography,":[20],"and":[21,28,39,100,180],"more":[22],"recently":[23],"capture,":[26],"representation":[27],"reproduction":[29],"spatial":[31],"audio.":[32],"A":[33,142],"popular":[34],"solution":[35,125],"posed":[36],"by":[37,75,82],"Fliege":[38,161],"Meyer":[40],"treats":[41],"as":[43],"charged":[44],"particles":[45],"that":[46,57,72,104],"are":[47,174],"constrained":[48],"to":[49,112,120,152],"lie":[50],"undergo":[58],"mutual":[59],"repulsion.":[60],"potential":[62],"energy":[63],"contained":[64],"within":[65],"system":[67],"forms":[68],"cost":[70,90],"function":[71],"is":[73,94,102,106,117],"minimized":[74],"optimization":[77],"using":[78],"simulated":[79],"annealing":[80],"followed":[81],"Limited":[83],"memory-BFGS":[84],"(L-BFGS).":[85],"In":[86,163],"this":[87,105],"work":[88],"function's":[91],"gradient":[93,99],"replaced":[95],"with":[96,137,159],"an":[97],"analytical":[98],"it":[101],"shown":[103],"sufficient":[107],"for":[108,131],"L-BFGS":[110],"alone":[111],"achieve":[113],"similar":[114],"results.":[115],"It":[116],"also":[118],"proposed":[119],"limit":[121],"iterations":[122],"once":[123],"converged":[127],"beyond":[128],"threshold":[130],"use":[132],"cases":[133],"mechanical":[135],"designs":[136],"much":[138],"higher":[139],"error":[140],"tolerances.":[141],"single-core":[143],"C":[144],"implementation":[145],"modern":[148],"machine":[149],"shows":[150],"up":[151],"146":[153],"times":[154,157],"faster":[155],"convergence":[156],"compared":[158],"implementation.":[162],"limited":[165],"precision":[166],"case,":[167],"all":[168],"numbers":[169],"under":[172,177,181,184],"1600":[173],"calculated":[175],"one":[178],"minute":[179],"380":[182],"second.":[186]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
