{"id":"https://openalex.org/W2035661210","doi":"https://doi.org/10.1177/0278364905050351","title":"A Probability-Based Similarity Measure for Saupe Alignment Tensors with Applications to Residual Dipolar Couplings in NMR Structural Biology","display_name":"A Probability-Based Similarity Measure for Saupe Alignment Tensors with Applications to Residual Dipolar Couplings in NMR Structural Biology","publication_year":2005,"publication_date":"2005-01-26","ids":{"openalex":"https://openalex.org/W2035661210","doi":"https://doi.org/10.1177/0278364905050351","mag":"2035661210"},"language":"en","primary_location":{"id":"doi:10.1177/0278364905050351","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0278364905050351","pdf_url":null,"source":{"id":"https://openalex.org/S73484101","display_name":"The International Journal of Robotics Research","issn_l":"0278-3649","issn":["0278-3649","1741-3176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Robotics Research","raw_type":"journal-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/A5061996109","display_name":"Anthony K. Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anthony K. Yan","raw_affiliation_strings":["Dartmouth Computer Science Department, Hanover, NH 03755, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dartmouth Computer Science Department, Hanover, NH 03755, USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042353780","display_name":"Christopher J. Langmead","orcid":"https://orcid.org/0000-0001-7521-6736"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher J. Langmead","raw_affiliation_strings":["Dartmouth Computer Science Department, Hanover, NH 03755, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dartmouth Computer Science Department, Hanover, NH 03755, USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046723017","display_name":"Bruce R. Donald","orcid":"https://orcid.org/0000-0001-6884-4398"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bruce Randall Donald","raw_affiliation_strings":["6211 Sudikoff Laboratory, Dartmouth Computer Science Department, Hanover,                         NH 03755, USA, Dartmouth Chemistry Department and Dartmouth Department of                         Biological Sciences, Hanover, NH 03755, USA,","6211 Sudikoff Laboratory, Dartmouth Computer Science Department, Hanover, NH 03755, USA, Dartmouth Chemistry Department and Dartmouth Department of Biological Sciences, Hanover, NH 03755, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"6211 Sudikoff Laboratory, Dartmouth Computer Science Department, Hanover,                         NH 03755, USA, Dartmouth Chemistry Department and Dartmouth Department of                         Biological Sciences, Hanover, NH 03755, USA,","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"6211 Sudikoff Laboratory, Dartmouth Computer Science Department, Hanover, NH 03755, USA, Dartmouth Chemistry Department and Dartmouth Department of Biological Sciences, Hanover, NH 03755, USA,","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061996109"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":null,"apc_paid":null,"fwci":0.2527,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.55455883,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":"2-3","first_page":"165","last_page":"182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11162","display_name":"Enzyme Structure and Function","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10222","display_name":"Genomics and Chromatin Dynamics","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5629122257232666},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5364916920661926},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5029057860374451},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47654157876968384},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41243886947631836},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4060470759868622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3347843885421753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33274245262145996},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3271865248680115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2767869234085083},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1514071226119995},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14589473605155945},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.13734295964241028},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1157035231590271}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5629122257232666},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5364916920661926},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5029057860374451},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47654157876968384},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41243886947631836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4060470759868622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3347843885421753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33274245262145996},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3271865248680115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2767869234085083},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1514071226119995},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14589473605155945},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.13734295964241028},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1157035231590271},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1177/0278364905050351","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0278364905050351","pdf_url":null,"source":{"id":"https://openalex.org/S73484101","display_name":"The International Journal of Robotics Research","issn_l":"0278-3649","issn":["0278-3649","1741-3176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Robotics Research","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.546.9825","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.546.9825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www1.cs.dartmouth.edu/reports/TR2003-474.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W38089902","https://openalex.org/W208602951","https://openalex.org/W1496383623","https://openalex.org/W1542975694","https://openalex.org/W1595179164","https://openalex.org/W1602778891","https://openalex.org/W1850221914","https://openalex.org/W1967230337","https://openalex.org/W1968588341","https://openalex.org/W1970208847","https://openalex.org/W1972091733","https://openalex.org/W1979483545","https://openalex.org/W1982412826","https://openalex.org/W1986219298","https://openalex.org/W2002590736","https://openalex.org/W2020716464","https://openalex.org/W2021229113","https://openalex.org/W2022067264","https://openalex.org/W2035346668","https://openalex.org/W2058382656","https://openalex.org/W2059518315","https://openalex.org/W2061667837","https://openalex.org/W2061791555","https://openalex.org/W2065445396","https://openalex.org/W2073486807","https://openalex.org/W2078684251","https://openalex.org/W2088940333","https://openalex.org/W2091114929","https://openalex.org/W2099356919","https://openalex.org/W2106390970","https://openalex.org/W2110949680","https://openalex.org/W2110955737","https://openalex.org/W2115865752","https://openalex.org/W2116376617","https://openalex.org/W2119231936","https://openalex.org/W2131823126","https://openalex.org/W2133559657","https://openalex.org/W2135307619","https://openalex.org/W2138740311","https://openalex.org/W2139769377","https://openalex.org/W2142026881","https://openalex.org/W2142794753","https://openalex.org/W2143196652","https://openalex.org/W2150458450","https://openalex.org/W2156012420","https://openalex.org/W2163462520","https://openalex.org/W2165550990","https://openalex.org/W2166910008","https://openalex.org/W2169462961","https://openalex.org/W2610652256","https://openalex.org/W4243546559","https://openalex.org/W6629795034","https://openalex.org/W6823379219"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W62490179","https://openalex.org/W2954004777","https://openalex.org/W4255837520","https://openalex.org/W2951102138"],"abstract_inverted_index":{"High-throughput":[0],"nuclear":[1,53],"magnetic":[2],"resonance":[3,27,36],"(NMR)":[4],"structural":[5,9,23,45,71,109],"biology":[6,24],"and":[7,38,111,131,176,225],"NMR":[8,22,35,86],"genomics":[10],"pose":[11],"a":[12,43,49,61,69,82,108,165,172,190,211,218],"fascinating":[13],"set":[14,112],"of":[15,77,85,97,113,145,209,223,231,254,275,278],"geometric":[16],"challenges.":[17],"A":[18],"key":[19],"bottleneck":[20],"in":[21,221,265],"is":[25,236],"the":[26,65,102,117,122,127,143,151,156,187,201,207,228,252,255,273],"assignment":[28,37,66],"problem.":[29],"We":[30,138],"seek":[31],"to":[32,134,141,155,167,238,250,271],"accelerate":[33],"protein":[34,280],"structure":[39],"determination":[40],"by":[41,107],"exploiting":[42],"priori":[44,70],"information.":[46,72],"In":[47,121,160],"particular,":[48],"method":[50,62],"known":[51,88],"as":[52,60,89],"vector":[54],"replacement":[55],"(NVR)":[56],"has":[57,206,217],"been":[58],"proposed":[59],"for":[63,246],"solving":[64],"problem":[67],"given":[68,237],"Among":[73],"several":[74],"different":[75],"types":[76],"input":[78],"data,":[79],"NVR":[80,123],"uses":[81],"particular":[83],"type":[84],"data":[87,103],"residual":[90],"dipolar":[91],"couplings":[92],"(RDCs).":[93],"The":[94],"basic":[95],"physics":[96],"RDCs":[98],"tells":[99],"us":[100],"that":[101,189],"should":[104],"be":[105,244,263],"explainable":[106],"model":[110],"parameters":[114],"contained":[115],"within":[116],"\u201cSaupe":[118],"alignment":[119,129,257],"tensor\u201d.":[120],"algorithm,":[124],"one":[125],"estimates":[126],"Saupe":[128,153,158,174,179,193,203],"tensors":[130],"then":[132],"proceeds":[133],"refine":[135],"those":[136],"estimates.":[137],"would":[139,195],"like":[140],"quantify":[142,168],"accuracy":[144,253,274],"such":[146],"estimates,":[147],"where":[148],"we":[149,163,181],"compare":[150],"estimated":[152,178,202,256],"matrix":[154,175],"correct":[157,173],"matrix.":[159,204],"this":[161,169],"work,":[162],"propose":[164],"way":[166],"comparison.":[170],"Given":[171],"an":[177,183,197],"matrix,":[180],"compute":[182],"upper":[184,213],"bound":[185,251],"on":[186],"probability":[188,234],"randomly":[191],"rotated":[192],"tensor":[194],"have":[196],"error":[198],"smaller":[199],"than":[200],"This":[205],"advantage":[208],"being":[210],"quantified":[212],"bound,":[214],"which":[215],"also":[216,262],"clear":[219],"interpretation":[220],"terms":[222],"geometry":[224],"probability.":[226],"While":[227],"specific":[229],"application":[230],"our":[232,240],"rotation":[233],"results":[235],"NVR,":[239],"novel":[241],"methods":[242],"can":[243],"used":[245,264],"any":[247],"RDC-based":[248],"algorithm":[249],"tensors.":[258],"Furthermore,":[259],"they":[260],"could":[261],"X-ray":[266],"crystallography":[267],"or":[268,284],"molecular":[269],"docking":[270],"quantitate":[272],"calculated":[276],"rotations":[277],"proteins,":[279],"domains,":[281],"nucleic":[282],"acids,":[283],"small":[285],"molecules.":[286]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-03T06:03:33.228499","created_date":"2025-10-10T00:00:00"}
