{"id":"https://openalex.org/W7119692882","doi":"https://doi.org/10.48550/arxiv.2601.04557","title":"The explicit constraint force method for optimal experimental design","display_name":"The explicit constraint force method for optimal experimental design","publication_year":2026,"publication_date":"2026-01-08","ids":{"openalex":"https://openalex.org/W7119692882","doi":"https://doi.org/10.48550/arxiv.2601.04557"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.04557","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.04557","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2601.04557","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119230556","display_name":"Conor Rowan","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rowan, Conor","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5119230556"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.1274999976158142,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.1274999976158142,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.12710000574588776,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.0778999999165535,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/constraint","display_name":"Constraint (computer-aided design)","score":0.7835000157356262},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6294000148773193},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5608000159263611},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.48010000586509705},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.46140000224113464},{"id":"https://openalex.org/keywords/experimental-data","display_name":"Experimental data","score":0.4602000117301941}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.7835000157356262},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6294000148773193},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5608000159263611},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5584999918937683},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.48010000586509705},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.46140000224113464},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.4602000117301941},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4401000142097473},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4235999882221222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4187000095844269},{"id":"https://openalex.org/C34559072","wikidata":"https://www.wikidata.org/wiki/Q2334061","display_name":"Design of experiments","level":2,"score":0.3765000104904175},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.35659998655319214},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.34279999136924744},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.33970001339912415},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.3237000107765198},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2935999929904938}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.04557","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.04557","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2601.04557","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.04557","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"explicit":[1],"constraint":[2,106,129,144,170],"force":[3,107],"method":[4,152],"(ECFM)":[5],"was":[6,20],"recently":[7],"introduced":[8],"as":[9],"a":[10,66,105,221],"novel":[11],"formulation":[12,126],"of":[13,40,61,138,169,180,204],"the":[14,38,52,57,62,82,95,118,135,139,167,177,181,184,189,202],"physics-informed":[15],"solution":[16,28],"reconstruction":[17,29],"problem,":[18,84],"and":[19,30,122,143,187],"subsequently":[21],"extended":[22],"to":[23,47,56,81,91,114,173,224],"inverse":[24,31,68,83,146],"problems.":[25,147,156],"In":[26,43,98],"both":[27],"problems,":[32],"model":[33],"parameters":[34,64],"are":[35,72,192],"estimated":[36],"with":[37,78,94,104],"help":[39],"measurement":[41,205,209],"data.":[42],"practice,":[44],"experimentalists":[45],"seek":[46],"design":[48,87],"experiments":[49,77],"such":[50],"that":[51,160,217],"acquired":[53],"data":[54],"leads":[55],"most":[58],"robust":[59],"recovery":[60],"missing":[63],"in":[65,166,176,194,201],"subsequent":[67],"problem.":[69],"While":[70],"there":[71],"well-established":[73],"techniques":[74],"for":[75],"designing":[76],"standard":[79,142],"approaches":[80,113],"optimal":[85,165],"experimental":[86],"(OED)":[88],"has":[89],"yet":[90],"be":[92],"explored":[93],"ECFM":[96,218],"formulation.":[97],"this":[99,197],"work,":[100],"we":[101,110,132],"investigate":[102],"OED":[103,115],"objective.":[108],"First,":[109],"review":[111],"traditional":[112],"based":[116,127],"on":[117,128,134,153],"Fisher":[119],"information":[120],"matrix,":[121],"propose":[123],"an":[124,161],"analogous":[125],"forces.":[130],"Next,":[131],"reflect":[133],"different":[136],"interpretations":[137],"objective":[140],"from":[141],"force-based":[145],"We":[148],"then":[149],"test":[150],"our":[151,213],"several":[154],"example":[155],"These":[157],"examples":[158],"suggest":[159],"experiment":[162],"which":[163],"is":[164,199,216,219],"sense":[168],"forces":[171],"tends":[172],"position":[174],"measurements":[175,190],"stiffest":[178],"regions":[179],"system.":[182],"Because":[183],"responses":[185],"--":[186,191],"thus":[188],"small":[193],"these":[195],"regions,":[196],"strategy":[198],"impractical":[200],"presence":[203],"noise":[206],"and/or":[207],"finite":[208],"precision.":[210],"As":[211],"such,":[212],"provisional":[214],"conclusion":[215],"not":[220],"viable":[222],"approach":[223],"OED.":[225]},"counts_by_year":[],"updated_date":"2026-01-10T23:44:22.266649","created_date":"2026-01-10T00:00:00"}
