{"id":"https://openalex.org/W7130377628","doi":"https://doi.org/10.48550/arxiv.2602.15586","title":"Uniform error bounds for quantized dynamical models","display_name":"Uniform error bounds for quantized dynamical models","publication_year":2026,"publication_date":"2026-02-17","ids":{"openalex":"https://openalex.org/W7130377628","doi":"https://doi.org/10.48550/arxiv.2602.15586"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.15586","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15586","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.2602.15586","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124932594","display_name":"Abdelkader Metakalard","orcid":null},"institutions":[{"id":"https://openalex.org/I1283595831","display_name":"Synlab Czech (Czechia)","ror":"https://ror.org/01hqrb170","country_code":"CZ","type":"company","lineage":["https://openalex.org/I1283595831"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Metakalard, Abdelkader","raw_affiliation_strings":["CRAN, SYNALP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, SYNALP","institution_ids":["https://openalex.org/I1283595831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002662383","display_name":"Fabien Lauer","orcid":"https://orcid.org/0000-0002-2047-0734"},"institutions":[{"id":"https://openalex.org/I1283595831","display_name":"Synlab Czech (Czechia)","ror":"https://ror.org/01hqrb170","country_code":"CZ","type":"company","lineage":["https://openalex.org/I1283595831"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Lauer, Fabien","raw_affiliation_strings":["SYNALP, LORIA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SYNALP, LORIA","institution_ids":["https://openalex.org/I1283595831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126300209","display_name":"Kevin Colin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Colin, Kevin","raw_affiliation_strings":["CRAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090630157","display_name":"Marion Gilson","orcid":"https://orcid.org/0000-0001-7521-0799"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gilson, Marion","raw_affiliation_strings":["CRAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"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/T11236","display_name":"Control Systems and Identification","score":0.4203000068664551,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.4203000068664551,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.258899986743927,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10320","display_name":"Neural Networks and Applications","score":0.05810000002384186,"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/imperfect","display_name":"Imperfect","score":0.5285999774932861},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.47679999470710754},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4666000008583069},{"id":"https://openalex.org/keywords/encode","display_name":"ENCODE","score":0.46380001306533813},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.436599999666214},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.3840000033378601},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.3716000020503998},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.35440000891685486}],"concepts":[{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.5285999774932861},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5067999958992004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5041999816894531},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.47679999470710754},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4666000008583069},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.46380001306533813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4422000050544739},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.436599999666214},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3840000033378601},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3716000020503998},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.3434999883174896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3427000045776367},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.3262999951839447},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3224000036716461},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2946999967098236},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29030001163482666},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.28769999742507935},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.26440000534057617},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.2535000145435333},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.15586","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15586","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.2602.15586","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15586","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":{"This":[0],"paper":[1],"provides":[2],"statistical":[3,86],"guarantees":[4],"on":[5],"the":[6,70,77],"accuracy":[7],"of":[8,47,72],"dynamical":[9],"models":[10,26],"learned":[11],"from":[12],"dependent":[13],"data":[14],"sequences.":[15],"Specifically,":[16],"we":[17],"develop":[18],"uniform":[19],"error":[20],"bounds":[21,48,52,60,67],"that":[22],"apply":[23],"to":[24,75],"quantized":[25],"and":[27,39,57,79],"imperfect":[28],"optimization":[29],"algorithms":[30],"commonly":[31],"used":[32],"in":[33,40],"practical":[34],"contexts":[35],"for":[36],"system":[37,43],"identification,":[38],"particular":[41],"hybrid":[42],"identification.":[44],"Two":[45],"families":[46],"are":[49],"obtained:":[50],"slow-rate":[51],"via":[53,61],"a":[54,62],"block":[55],"decomposition":[56],"fast-rate,":[58],"variance-adaptive,":[59],"novel":[63],"spaced-point":[64],"strategy.":[65],"The":[66],"scale":[68],"with":[69],"number":[71],"bits":[73],"required":[74],"encode":[76],"model":[78],"thus":[80],"translate":[81],"hardware":[82],"constraints":[83],"into":[84],"interpretable":[85],"complexities.":[87]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-02-19T00:00:00"}