{"id":"https://openalex.org/W7133612680","doi":"https://doi.org/10.48550/arxiv.2603.04354","title":"Out-of-distribution transfer of PDE foundation models to material dynamics under extreme loading","display_name":"Out-of-distribution transfer of PDE foundation models to material dynamics under extreme loading","publication_year":2026,"publication_date":"2026-03-04","ids":{"openalex":"https://openalex.org/W7133612680","doi":"https://doi.org/10.48550/arxiv.2603.04354"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2603.04354","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","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":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062519467","display_name":"Mahindra Rautela","orcid":"https://orcid.org/0000-0002-2678-9682"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rautela, Mahindra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113080238","display_name":"Alexander Most","orcid":"https://orcid.org/0009-0006-4383-9801"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Most, Alexander","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093775102","display_name":"Siddharth Mansingh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mansingh, Siddharth","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027359899","display_name":"Aleksandra Pachalieva","orcid":"https://orcid.org/0000-0003-1246-0410"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pachalieva, Aleksandra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128162297","display_name":"Bradley Love","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Love, Bradley","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128184340","display_name":"Daniel O Malley","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Malley, Daniel O","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029728208","display_name":"Alexander Scheinker","orcid":"https://orcid.org/0000-0002-3203-0963"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Scheinker, Alexander","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042656195","display_name":"Kyle S. Hickmann","orcid":"https://orcid.org/0000-0001-5253-9575"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hickmann, Kyle","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036303352","display_name":"Diane Oyen","orcid":"https://orcid.org/0000-0002-1353-3688"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oyen, Diane","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056569157","display_name":"Nathan DeBardeleben","orcid":"https://orcid.org/0000-0002-5593-9205"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Debardeleben, Nathan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064982854","display_name":"Earl Lawrence","orcid":"https://orcid.org/0000-0002-6473-1887"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lawrence, Earl","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5128139814","display_name":"Ayan Biswas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Biswas, Ayan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":12,"corresponding_author_ids":["https://openalex.org/A5062519467"],"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/T11948","display_name":"Machine Learning in Materials Science","score":0.32829999923706055,"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"}},"topics":[{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.32829999923706055,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.07000000029802322,"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/T11699","display_name":"High-Velocity Impact and Material Behavior","score":0.06340000033378601,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transfer-of-learning","display_name":"Transfer of learning","score":0.5475999712944031},{"id":"https://openalex.org/keywords/foundation","display_name":"Foundation (evidence)","score":0.48590001463890076},{"id":"https://openalex.org/keywords/scratch","display_name":"Scratch","score":0.47540000081062317},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.40310001373291016},{"id":"https://openalex.org/keywords/snapshot","display_name":"Snapshot (computer storage)","score":0.37929999828338623},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.35670000314712524},{"id":"https://openalex.org/keywords/mathematical-model","display_name":"Mathematical model","score":0.3458000123500824}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5619999766349792},{"id":"https://openalex.org/C150899416","wikidata":"https://www.wikidata.org/wiki/Q1820378","display_name":"Transfer of learning","level":2,"score":0.5475999712944031},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.48590001463890076},{"id":"https://openalex.org/C2781235140","wikidata":"https://www.wikidata.org/wiki/Q275131","display_name":"Scratch","level":2,"score":0.47540000081062317},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.40310001373291016},{"id":"https://openalex.org/C55282118","wikidata":"https://www.wikidata.org/wiki/Q252683","display_name":"Snapshot (computer storage)","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.35670000314712524},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35120001435279846},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.3458000123500824},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.3287999927997589},{"id":"https://openalex.org/C2779066501","wikidata":"https://www.wikidata.org/wiki/Q1761267","display_name":"Transfer problem","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.3125},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.29760000109672546},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2782999873161316},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2705000042915344},{"id":"https://openalex.org/C2776175482","wikidata":"https://www.wikidata.org/wiki/Q1195816","display_name":"Transfer (computing)","level":2,"score":0.25839999318122864},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2563999891281128}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2603.04354","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2603.04354","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.04354","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":"pmh:doi:10.48550/arxiv.2603.04354","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Most":[0],"PDE":[1,90],"foundation":[2,91],"models":[3],"are":[4],"pretrained":[5,89,100],"and":[6,32,47,82,94,96],"fine-tuned":[7],"on":[8,23],"fluid-centric":[9],"benchmarks.":[10],"Their":[11],"utility":[12],"under":[13,113],"extreme-loading":[14],"material":[15],"dynamics":[16,41],"remains":[17],"unclear.":[18],"We":[19,52],"benchmark":[20],"out-of-distribution":[21],"transfer":[22],"two":[24,87],"discontinuity-dominated":[25],"regimes":[26],"in":[27],"which":[28],"shocks,":[29],"evolving":[30],"interfaces,":[31],"fracture":[33],"produce":[34],"highly":[35],"non-smooth":[36],"fields:":[37],"shock-driven":[38],"multi-material":[39],"interface":[40,44],"(perturbed":[42],"layered":[43],"or":[45],"PLI)":[46],"dynamic":[48],"fracture/failure":[49],"evolution":[50],"(FRAC).":[51],"formulate":[53],"the":[54,67,72],"downstream":[55],"task":[56],"as":[57],"terminal-state":[58],"prediction,":[59],"i.e.,":[60],"learning":[61],"a":[62,79],"long-horizon":[63],"map":[64],"that":[65],"predicts":[66],"final":[68],"state":[69],"directly":[70],"from":[71,99,104],"first":[73],"snapshot":[74],"without":[75],"intermediate":[76],"supervision.":[77],"Using":[78],"unified":[80],"training":[81,103],"evaluation":[83],"protocol,":[84],"we":[85],"evaluate":[86],"open-source":[88],"models,":[92],"POSEIDON":[93],"MORPH,":[95],"compare":[97],"fine-tuning":[98],"weights":[101],"against":[102],"scratch":[105],"across":[106],"training-set":[107],"sizes":[108],"to":[109],"quantify":[110],"sample":[111],"efficiency":[112],"distribution":[114],"shift.":[115]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2026-03-06T00:00:00"}
