{"id":"https://openalex.org/W4413063437","doi":"https://doi.org/10.3390/computers14070287","title":"Machine Learning Techniques for Uncertainty Estimation in Dynamic Aperture Prediction","display_name":"Machine Learning Techniques for Uncertainty Estimation in Dynamic Aperture Prediction","publication_year":2025,"publication_date":"2025-07-18","ids":{"openalex":"https://openalex.org/W4413063437","doi":"https://doi.org/10.3390/computers14070287"},"language":"en","primary_location":{"id":"doi:10.3390/computers14070287","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computers14070287","pdf_url":"https://www.mdpi.com/2073-431X/14/7/287/pdf?version=1752829743","source":{"id":"https://openalex.org/S4210228075","display_name":"Computers","issn_l":"2073-431X","issn":["2073-431X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-431X/14/7/287/pdf?version=1752829743","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069703725","display_name":"C. E. Montanari","orcid":"https://orcid.org/0000-0002-3456-1477"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]},{"id":"https://openalex.org/I67311998","display_name":"European Organization for Nuclear Research","ror":"https://ror.org/01ggx4157","country_code":"CH","type":"facility","lineage":["https://openalex.org/I67311998"]}],"countries":["CH","GB"],"is_corresponding":true,"raw_author_name":"Carlo Emilio Montanari","raw_affiliation_strings":["CERN, 1211 Geneva, Switzerland","Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK"],"affiliations":[{"raw_affiliation_string":"CERN, 1211 Geneva, Switzerland","institution_ids":["https://openalex.org/I67311998"]},{"raw_affiliation_string":"Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074097338","display_name":"Robert Appleby","orcid":"https://orcid.org/0000-0001-8033-1923"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Robert B. Appleby","raw_affiliation_strings":["Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055064130","display_name":"D. Di Croce","orcid":"https://orcid.org/0000-0002-1122-7919"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I67311998","display_name":"European Organization for Nuclear Research","ror":"https://ror.org/01ggx4157","country_code":"CH","type":"facility","lineage":["https://openalex.org/I67311998"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Davide Di Croce","raw_affiliation_strings":["CERN, 1211 Geneva, Switzerland","Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"CERN, 1211 Geneva, Switzerland","institution_ids":["https://openalex.org/I67311998"]},{"raw_affiliation_string":"Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055534438","display_name":"M. Giovannozzi","orcid":"https://orcid.org/0000-0002-2093-9395"},"institutions":[{"id":"https://openalex.org/I67311998","display_name":"European Organization for Nuclear Research","ror":"https://ror.org/01ggx4157","country_code":"CH","type":"facility","lineage":["https://openalex.org/I67311998"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Massimo Giovannozzi","raw_affiliation_strings":["CERN, 1211 Geneva, Switzerland"],"affiliations":[{"raw_affiliation_string":"CERN, 1211 Geneva, Switzerland","institution_ids":["https://openalex.org/I67311998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101457488","display_name":"Tatiana Pieloni","orcid":"https://orcid.org/0000-0002-3218-0048"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Tatiana Pieloni","raw_affiliation_strings":["Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084899966","display_name":"Stefano Redaelli","orcid":null},"institutions":[{"id":"https://openalex.org/I67311998","display_name":"European Organization for Nuclear Research","ror":"https://ror.org/01ggx4157","country_code":"CH","type":"facility","lineage":["https://openalex.org/I67311998"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Stefano Redaelli","raw_affiliation_strings":["CERN, 1211 Geneva, Switzerland"],"affiliations":[{"raw_affiliation_string":"CERN, 1211 Geneva, Switzerland","institution_ids":["https://openalex.org/I67311998"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032477089","display_name":"Frederik F. Van der Veken","orcid":"https://orcid.org/0000-0002-0301-821X"},"institutions":[{"id":"https://openalex.org/I67311998","display_name":"European Organization for Nuclear Research","ror":"https://ror.org/01ggx4157","country_code":"CH","type":"facility","lineage":["https://openalex.org/I67311998"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Frederik F. Van der Veken","raw_affiliation_strings":["CERN, 1211 Geneva, Switzerland"],"affiliations":[{"raw_affiliation_string":"CERN, 1211 Geneva, Switzerland","institution_ids":["https://openalex.org/I67311998"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5055534438","https://openalex.org/A5069703725"],"corresponding_institution_ids":["https://openalex.org/I28407311","https://openalex.org/I67311998"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1732},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1732},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18250049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"7","first_page":"287","last_page":"287"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10559","display_name":"Particle Accelerators and Free-Electron Lasers","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10559","display_name":"Particle Accelerators and Free-Electron Lasers","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11808","display_name":"Superconducting Materials and Applications","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11367","display_name":"Particle accelerators and beam dynamics","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/large-hadron-collider","display_name":"Large Hadron Collider","score":0.6737279295921326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6686170101165771},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5160676836967468},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4826229512691498},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45730334520339966},{"id":"https://openalex.org/keywords/aperture","display_name":"Aperture (computer memory)","score":0.4469701647758484},{"id":"https://openalex.org/keywords/dynamic-aperture","display_name":"Dynamic aperture","score":0.4173150956630707},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32070183753967285},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16724905371665955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15300604701042175},{"id":"https://openalex.org/keywords/particle-physics","display_name":"Particle physics","score":0.1493074893951416},{"id":"https://openalex.org/keywords/particle-accelerator","display_name":"Particle accelerator","score":0.13702505826950073},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09846359491348267}],"concepts":[{"id":"https://openalex.org/C87668248","wikidata":"https://www.wikidata.org/wiki/Q40605","display_name":"Large Hadron Collider","level":2,"score":0.6737279295921326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6686170101165771},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5160676836967468},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4826229512691498},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45730334520339966},{"id":"https://openalex.org/C78336883","wikidata":"https://www.wikidata.org/wiki/Q4779385","display_name":"Aperture (computer memory)","level":2,"score":0.4469701647758484},{"id":"https://openalex.org/C2777609063","wikidata":"https://www.wikidata.org/wiki/Q5318939","display_name":"Dynamic aperture","level":4,"score":0.4173150956630707},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32070183753967285},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16724905371665955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15300604701042175},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.1493074893951416},{"id":"https://openalex.org/C189166818","wikidata":"https://www.wikidata.org/wiki/Q130825","display_name":"Particle accelerator","level":3,"score":0.13702505826950073},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09846359491348267},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computers14070287","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computers14070287","pdf_url":"https://www.mdpi.com/2073-431X/14/7/287/pdf?version=1752829743","source":{"id":"https://openalex.org/S4210228075","display_name":"Computers","issn_l":"2073-431X","issn":["2073-431X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5794d4ca72f4407e9b4cddd50ea1f9ca","is_oa":true,"landing_page_url":"https://doaj.org/article/5794d4ca72f4407e9b4cddd50ea1f9ca","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computers, Vol 14, Iss 7, p 287 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computers14070287","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computers14070287","pdf_url":"https://www.mdpi.com/2073-431X/14/7/287/pdf?version=1752829743","source":{"id":"https://openalex.org/S4210228075","display_name":"Computers","issn_l":"2073-431X","issn":["2073-431X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413063437.pdf","grobid_xml":"https://content.openalex.org/works/W4413063437.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1514709506","https://openalex.org/W1581231885","https://openalex.org/W1994036187","https://openalex.org/W2003695865","https://openalex.org/W2118592435","https://openalex.org/W2481612807","https://openalex.org/W2621213434","https://openalex.org/W2806801201","https://openalex.org/W2908825166","https://openalex.org/W2912934387","https://openalex.org/W2921307882","https://openalex.org/W2964059111","https://openalex.org/W2972574632","https://openalex.org/W2981878635","https://openalex.org/W3015706362","https://openalex.org/W3128670996","https://openalex.org/W3183048323","https://openalex.org/W3183532771","https://openalex.org/W3200934665","https://openalex.org/W3203343062","https://openalex.org/W4213282452","https://openalex.org/W4229554625","https://openalex.org/W4307232305","https://openalex.org/W4319309706","https://openalex.org/W4364860029","https://openalex.org/W4381996128","https://openalex.org/W4387323424","https://openalex.org/W4388451562","https://openalex.org/W4392896772","https://openalex.org/W4393949724","https://openalex.org/W4401357902","https://openalex.org/W4404524810","https://openalex.org/W6636752499","https://openalex.org/W6651004945","https://openalex.org/W6675549538","https://openalex.org/W6796898727","https://openalex.org/W6962989940"],"related_works":["https://openalex.org/W46692864","https://openalex.org/W2162428800","https://openalex.org/W2100276169","https://openalex.org/W2154415859","https://openalex.org/W2806801201","https://openalex.org/W42560970","https://openalex.org/W46390372","https://openalex.org/W2359964855","https://openalex.org/W1553878189","https://openalex.org/W2805950716"],"abstract_inverted_index":{"The":[0,27],"dynamic":[1,32,67,95,149,189],"aperture":[2,33,68,96,150,190],"is":[3,34,49,142],"an":[4],"essential":[5],"concept":[6],"in":[7,39,148,188],"circular":[8],"particle":[9,20],"accelerators,":[10],"providing":[11],"the":[12,15,31,43,56,66,94,143,180],"extent":[13],"of":[14,30,139,146],"phase":[16,80],"space":[17,81],"region":[18],"where":[19],"motion":[21],"remains":[22],"stable":[23],"over":[24],"multiple":[25],"turns.":[26],"accurate":[28],"prediction":[29],"key":[35],"to":[36,92,178],"optimising":[37],"performance":[38,120],"accelerators":[40,54],"such":[41],"as":[42],"CERN":[44,57],"Large":[45],"Hadron":[46,60],"Collider":[47],"and":[48,72,100,124,170],"crucial":[50],"for":[51,64,161,184],"designing":[52],"future":[53],"like":[55],"Future":[58],"Circular":[59],"Collider.":[61],"Traditional":[62],"methods":[63],"computing":[65],"are":[69],"computationally":[70],"demanding":[71],"involve":[73],"extensive":[74],"numerical":[75],"simulations":[76],"with":[77],"numerous":[78],"initial":[79],"conditions.":[82],"In":[83,152],"our":[84],"recent":[85],"work,":[86],"we":[87,155],"have":[88,104],"devised":[89],"surrogate":[90],"models":[91,103],"predict":[93],"boundary":[97],"both":[98],"efficiently":[99],"accurately.":[101],"These":[102],"been":[105],"further":[106],"refined":[107],"by":[108,133],"incorporating":[109],"them":[110],"into":[111],"a":[112],"novel":[113],"active":[114],"learning":[115,159,194],"framework.":[116],"This":[117],"framework":[118,141],"enhances":[119],"through":[121],"continual":[122],"retraining":[123],"intelligent":[125],"data":[126],"generation":[127],"based":[128],"on":[129],"informed":[130],"sampling":[131],"driven":[132],"error":[134],"estimation.":[135],"A":[136],"critical":[137],"attribute":[138],"this":[140,153],"precise":[144],"estimation":[145,187],"uncertainty":[147,162,172,186],"predictions.":[151],"study,":[154],"investigate":[156],"various":[157],"machine":[158,193],"techniques":[160],"estimation,":[163],"including":[164],"Monte":[165],"Carlo":[166],"dropout,":[167],"bootstrap":[168],"methods,":[169],"aleatory":[171],"quantification.":[173],"We":[174],"evaluated":[175],"these":[176],"approaches":[177],"determine":[179],"most":[181],"effective":[182],"method":[183],"reliable":[185],"predictions":[191],"using":[192],"techniques.":[195]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}