{"id":"https://openalex.org/W7140173134","doi":"https://doi.org/10.48550/arxiv.2603.20365","title":"Comprehensive Description of Uncertainty in Measurement for Representation and Propagation with Scalable Precision","display_name":"Comprehensive Description of Uncertainty in Measurement for Representation and Propagation with Scalable Precision","publication_year":2026,"publication_date":"2026-03-20","ids":{"openalex":"https://openalex.org/W7140173134","doi":"https://doi.org/10.48550/arxiv.2603.20365"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.20365","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.20365","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.2603.20365","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Darijani, Ali","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Darijani, Ali","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Beyerer, J\u00fcrgen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Beyerer, J\u00fcrgen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Nasrollah, Zahra Sadat Hajseyed","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nasrollah, Zahra Sadat Hajseyed","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Hoffmann, Luisa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hoffmann, Luisa","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Heizmann, Michael","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Heizmann, Michael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.06769999861717224,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.06769999861717224,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.05990000069141388,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.049400001764297485,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/representation","display_name":"Representation (politics)","score":0.633400022983551},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5557000041007996},{"id":"https://openalex.org/keywords/lossy-compression","display_name":"Lossy compression","score":0.5109999775886536},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.4896000027656555},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4546000063419342},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.4519999921321869},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4352000057697296},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.36000001430511475}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6489999890327454},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.633400022983551},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5557000041007996},{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.5109999775886536},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.4896000027656555},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4546000063419342},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.4519999921321869},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4352000057697296},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4180999994277954},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39879998564720154},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.36000001430511475},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3564999997615814},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.35499998927116394},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.3483000099658966},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3278000056743622},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3052000105381012},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2971999943256378},{"id":"https://openalex.org/C137209882","wikidata":"https://www.wikidata.org/wiki/Q1403517","display_name":"Measurement uncertainty","level":2,"score":0.29409998655319214},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2897999882698059},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.288100004196167},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.26600000262260437},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.25540000200271606},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.2515999972820282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.20365","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.20365","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.2603.20365","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.20365","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":{"Probability":[0,79],"theory":[1],"has":[2],"become":[3],"the":[4,25,84,96,107,171,187,192],"predominant":[5],"framework":[6,67,173],"for":[7,68,95],"quantifying":[8],"uncertainty":[9,54,181],"across":[10],"scientific":[11],"and":[12,21,36,43,70,130,135,154,163,177,182],"engineering":[13],"disciplines,":[14],"with":[15],"a":[16,62,103],"particular":[17],"focus":[18],"on":[19,28],"measurement":[20,37,76,164,180],"control":[22,33,153],"systems.":[23],"However,":[24],"widespread":[26],"reliance":[27],"simple":[29],"Gaussian":[30,99,109,189],"assumptions--particularly":[31],"in":[32,40,75,90,143,152],"theory,":[34],"manufacturing,":[35],"systems--can":[38],"result":[39],"incomplete":[41],"representations":[42],"multistage":[44],"lossy":[45],"approximations":[46],"of":[47,53,98,106,116,149,179],"complex":[48],"phenomena,":[49],"including":[50],"inaccurate":[51],"propagation":[52,178],"through":[55],"multi":[56],"stage":[57],"processes.":[58],"This":[59],"work":[60],"proposes":[61],"comprehensive":[63],"yet":[64],"computationally":[65],"tractable":[66],"representing":[69],"propagating":[71],"quantitative":[72],"attributes":[73],"arising":[74],"systems":[77],"using":[78],"Density":[80],"Functions":[81],"(PDFs).":[82],"Recognizing":[83],"constraints":[85],"imposed":[86],"by":[87],"finite":[88],"memory":[89,129],"software":[91],"systems,":[92],"we":[93],"advocate":[94],"use":[97],"Mixture":[100],"Models":[101],"(GMMs),":[102],"principled":[104],"extension":[105],"familiar":[108],"framework,":[110],"as":[111],"they":[112],"are":[113],"universal":[114],"approximators":[115],"PDFs":[117],"whose":[118],"complexity":[119],"can":[120],"be":[121],"tuned":[122],"to":[123,186],"trade":[124],"off":[125],"approximation":[126],"accuracy":[127],"against":[128],"computation.":[131],"From":[132],"both":[133],"mathematical":[134],"computational":[136],"perspectives,":[137],"GMMs":[138,172],"enable":[139],"high":[140],"performance":[141],"and,":[142],"many":[144],"cases,":[145],"closed":[146],"form":[147],"solutions":[148],"essential":[150],"operations":[151],"measurement.":[155],"The":[156],"paper":[157],"presents":[158],"practical":[159],"applications":[160],"within":[161],"manufacturing":[162],"contexts":[165],"especially":[166],"circular":[167],"factory,":[168],"demonstrating":[169],"how":[170],"supports":[174],"accurate":[175],"representation":[176],"offers":[183],"improved":[184],"accuracy--compared":[185],"traditional":[188],"framework--while":[190],"keeping":[191],"computations":[193],"tractable.":[194]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-25T00:00:00"}
