{"id":"https://openalex.org/W7131864619","doi":"https://doi.org/10.48550/arxiv.2602.22630","title":"HyperKKL: Enabling Non-Autonomous State Estimation through Dynamic Weight Conditioning","display_name":"HyperKKL: Enabling Non-Autonomous State Estimation through Dynamic Weight Conditioning","publication_year":2026,"publication_date":"2026-02-26","ids":{"openalex":"https://openalex.org/W7131864619","doi":"https://doi.org/10.48550/arxiv.2602.22630"},"language":"en","primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.22630","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":null,"license_id":null,"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/A5120377269","display_name":"Yahia Salaheldin Shaaban","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shaaban, Yahia Salaheldin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127343571","display_name":"Salem Lahlou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lahlou, Salem","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5127425852","display_name":"Abdelrahman Sayed Sayed","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sayed, Abdelrahman Sayed","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5120377269"],"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":0.545199990272522,"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":0.545199990272522,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.19009999930858612,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.03819999843835831,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6262999773025513},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.597000002861023},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5688999891281128},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5396999716758728},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.4921000003814697},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.42149999737739563},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.38100001215934753},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.36410000920295715}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6262999773025513},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.597000002861023},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5688999891281128},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5396999716758728},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5023000240325928},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.4921000003814697},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.42149999737739563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39469999074935913},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.38100001215934753},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36480000615119934},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.36410000920295715},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3456000089645386},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3296000063419342},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2671999931335449},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C34413123","wikidata":"https://www.wikidata.org/wiki/Q170978","display_name":"Robotics","level":3,"score":0.25920000672340393},{"id":"https://openalex.org/C136389625","wikidata":"https://www.wikidata.org/wiki/Q334384","display_name":"Supervised learning","level":3,"score":0.25609999895095825}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.22630","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:HAL:hal-05553436v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05553436","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Fourteenth International Conference on Learning Representations (ICLR), AI & PDE Workshop, Apr 2026, Rio de Janeiro, Brazil","raw_type":"Conference papers"},{"id":"doi:10.48550/arxiv.2602.22630","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.22630","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.2602.22630","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":null,"license_id":null,"version":"submittedVersion","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":{"This":[0],"paper":[1],"proposes":[2],"HyperKKL,":[3],"a":[4,21,30,81,101,117],"novel":[5,133],"learning":[6,100,119],"approach":[7,115,134],"for":[8,13,60],"designing":[9],"Kazantzis-Kravaris/Luenberger":[10],"(KKL)":[11],"observers":[12,19],"non-autonomous":[14],"nonlinear":[15,27],"systems.":[16,153],"While":[17],"KKL":[18,55,97],"offer":[20],"rigorous":[22],"theoretical":[23],"framework":[24],"by":[25,79,107],"immersing":[26],"dynamics":[28,68],"into":[29],"stable":[31],"linear":[32],"latent":[33],"space,":[34],"its":[35],"practical":[36],"realization":[37],"relies":[38],"on":[39,137],"solving":[40],"Partial":[41],"Differential":[42],"Equations":[43],"(PDE)":[44],"that":[45,84,121],"are":[46,57],"analytically":[47],"intractable.":[48],"Current":[49],"existing":[50],"learning-based":[51],"approximations":[52],"of":[53,95,103],"the":[54,86,93,96,108,145],"observer":[56],"mostly":[58],"designed":[59],"autonomous":[61,126],"systems,":[62],"failing":[63],"to":[64,66,90,123],"generalize":[65,124],"driven":[67],"without":[69],"expensive":[70],"retraining":[71],"or":[72],"online":[73],"gradient":[74],"updates.":[75],"HyperKKL":[76],"addresses":[77],"this":[78,114],"employing":[80],"hypernetwork":[82],"architecture":[83],"encodes":[85],"exogenous":[87],"input":[88],"signal":[89],"instantaneously":[91],"generate":[92],"parameters":[94],"observer,":[98],"effectively":[99],"family":[102],"immersion":[104],"maps":[105],"parameterized":[106],"external":[109],"drive.":[110],"We":[111],"rigorously":[112],"evaluate":[113],"against":[116],"curriculum":[118],"strategy":[120],"attempts":[122],"from":[125],"regimes":[127],"via":[128],"training":[129],"heuristics":[130],"alone.":[131],"The":[132],"is":[135],"illustrated":[136],"four":[138],"numerical":[139],"simulations":[140],"in":[141],"benchmark":[142],"examples":[143],"including":[144],"Duffing,":[146],"Van":[147],"der":[148],"Pol,":[149],"Lorenz,":[150],"and":[151],"R\u00f6ssler":[152]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-28T00:00:00"}