{"id":"https://openalex.org/W7165042950","doi":"https://doi.org/10.48550/arxiv.2606.17529","title":"Domain-Validity-Gated Metamorphic Testing of Scientific ML Surrogates","display_name":"Domain-Validity-Gated Metamorphic Testing of Scientific ML Surrogates","publication_year":2026,"publication_date":"2026-06-16","ids":{"openalex":"https://openalex.org/W7165042950","doi":"https://doi.org/10.48550/arxiv.2606.17529"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.17529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.17529","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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.17529","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138828384","display_name":"Meng Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Meng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030018760","display_name":"Xiaomin Yang","orcid":"https://orcid.org/0000-0002-5593-5108"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Xiaohua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138811014","display_name":"Jie Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Jie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111473372","display_name":"Su Yan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yan, Shiyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.570900022983551,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.570900022983551,"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/T11986","display_name":"Scientific Computing and Data Management","score":0.15620000660419464,"subfield":{"id":"https://openalex.org/subfields/1802","display_name":"Information Systems and Management"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.04769999906420708,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6255999803543091},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.43650001287460327},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.3474999964237213},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.3418000042438507},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.3393999934196472},{"id":"https://openalex.org/keywords/guard","display_name":"Guard (computer science)","score":0.3336000144481659},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.33149999380111694}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6255999803543091},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4634000062942505},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.43650001287460327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3652999997138977},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.3474999964237213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3424000144004822},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.3418000042438507},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3393999934196472},{"id":"https://openalex.org/C141141315","wikidata":"https://www.wikidata.org/wiki/Q2379942","display_name":"Guard (computer science)","level":2,"score":0.3336000144481659},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.33149999380111694},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C7515471","wikidata":"https://www.wikidata.org/wiki/Q1936882","display_name":"Stress testing (software)","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2768999934196472},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.2549999952316284},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.2515000104904175},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.17529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.17529","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.17529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.17529","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":"Preprint"},"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":{"Scientific":[0],"machine-learning":[1],"(SciML)":[2],"surrogates":[3,216],"approximate":[4],"expensive":[5],"simulations,":[6],"but":[7],"exact":[8,152],"expected":[9],"outputs":[10],"for":[11,61,71],"arbitrary":[12],"inputs":[13],"are":[14],"unavailable":[15],"(the":[16],"oracle":[17],"problem).":[18],"Metamorphic":[19],"testing":[20],"checks":[21],"relations":[22,56],"across":[23,168],"executions,":[24],"yet":[25],"a":[26,47,77,82,114,122,129,133,144,160,171,180,204,208,228,233],"candidate":[27,54,83,237],"relation":[28],"is":[29,49,143],"not":[30],"automatically":[31],"valid:":[32],"its":[33,86,94],"preconditions,":[34],"output":[35],"mapping,":[36],"and":[37,64,93,108,112,154,177,214,227],"the":[38,42,89,186],"numerical":[39,91],"floor":[40,92],"of":[41],"scoring":[43],"operator":[44],"determine":[45],"whether":[46],"violation":[48],"meaningful.":[50],"We":[51,74],"study":[52],"how":[53],"metamorphic":[55],"(MRs)":[57],"can":[58],"be":[59],"screened":[60],"domain":[62,199],"validity":[63,200],"turned":[65],"into":[66],"executable,":[67],"oracle-free":[68],"test":[69,242],"assets":[70,243],"SciML":[72,241],"surrogates.":[73],"propose":[75],"(i)":[76],"domain-validity":[78],"rubric":[79],"that":[80,244],"admits":[81],"only":[84],"when":[85],"tolerance":[87],"dominates":[88],"operator's":[90],"preconditions":[95],"hold;":[96],"(ii)":[97],"an":[98,151],"MR-card":[99],"executable-asset":[100],"format":[101],"recording":[102],"source":[103],"cases,":[104],"transformations,":[105],"metrics,":[106],"tolerances,":[107],"typed":[109],"relation-level":[110],"verdicts;":[111],"(iii)":[113],"case-study":[115],"protocol":[116],"on":[117,192],"MeshGraphNets":[118,134],"cylinder-flow":[119],"surrogates,":[120],"with":[121],"claim":[123],"ledger":[124],"binding":[125],"every":[126],"result":[127],"to":[128,139,239],"tracked":[130],"artifact.":[131],"On":[132,179,207],"checkpoint,":[135],"node":[136],"permutation":[137],"holds":[138],"machine":[140],"precision,":[141],"mirror-y":[142],"bounded":[145],"out-of-distribution":[146],"stress":[147],"finding":[148],"rather":[149,201],"than":[150,202],"symmetry,":[153],"absolute":[155],"conservation":[156],"stays":[157],"deferred":[158],"while":[159],"reference-relative":[161],"guard":[162],"passes.":[163],"The":[164,221],"same":[165],"readings":[166],"hold":[167],"held-out":[169],"trajectories,":[170],"checkpoint":[172],"roster,":[173],"three":[174],"further":[175],"architectures,":[176],"PhysicsNeMo.":[178],"second":[181,209,229],"CFD":[182,225],"task":[183],"(compressible":[184],"airfoil)":[185],"predicate":[187],"instead":[188],"rejects":[189],"incompressible":[190],"continuity":[191],"physical":[193],"grounds,":[194],"showing":[195],"it":[196],"reasons":[197],"about":[198],"running":[203],"fixed":[205],"checklist.":[206],"PDE":[210,230],"family,":[211,231],"FNO":[212],"Burgers":[213],"heat":[215],"run":[217],"full":[218],"admit/reject/execute":[219],"verdicts.":[220],"evidence":[222],"spans":[223],"two":[224],"tasks":[226],"supporting":[232],"validity-aware":[234],"bridge":[235],"from":[236,248],"MRs":[238],"auditable":[240],"separates":[245],"model-level":[246],"violations":[247],"out-of-domain":[249],"applications.":[250]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-18T00:00:00"}