{"id":"https://openalex.org/W3187934771","doi":"https://doi.org/10.1007/s10915-023-02401-4","title":"Feature Engineering with Regularity Structures","display_name":"Feature Engineering with Regularity Structures","publication_year":2023,"publication_date":"2023-11-23","ids":{"openalex":"https://openalex.org/W3187934771","doi":"https://doi.org/10.1007/s10915-023-02401-4","mag":"3187934771"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02401-4","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10915-023-02401-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02401-4.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02401-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018284042","display_name":"Ilya Chevyrev","orcid":"https://orcid.org/0000-0002-5630-9694"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ilya Chevyrev","raw_affiliation_strings":["The University of Edinburgh, Edinburgh, UK"],"raw_orcid":"https://orcid.org/0000-0002-5630-9694","affiliations":[{"raw_affiliation_string":"The University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091708326","display_name":"Andris Gerasimovi\u010ds","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andris Gerasimovi\u010ds","raw_affiliation_strings":["University of Bath, Bath, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001883810","display_name":"Hendrik Weber","orcid":"https://orcid.org/0000-0003-3969-230X"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hendrik Weber","raw_affiliation_strings":["University of M\u00fcnster, M\u00fcnster, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of M\u00fcnster, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018284042"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.2568,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.43312551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"98","issue":"1","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":0.9994000196456909,"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":0.9994000196456909,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9754999876022339,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9729999899864197,"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/forcing","display_name":"Forcing (mathematics)","score":0.7413003444671631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.691004753112793},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6372475624084473},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5123132467269897},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4948813319206238},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47925281524658203},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44817104935646057},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4302263855934143},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42839568853378296},{"id":"https://openalex.org/keywords/function-space","display_name":"Function space","score":0.4258558750152588},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.42178091406822205},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.42106494307518005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3993474245071411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3049262762069702},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29025518894195557},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21806320548057556}],"concepts":[{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.7413003444671631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.691004753112793},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6372475624084473},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5123132467269897},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4948813319206238},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47925281524658203},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44817104935646057},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4302263855934143},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42839568853378296},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.4258558750152588},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.42178091406822205},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.42106494307518005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3993474245071411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3049262762069702},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29025518894195557},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21806320548057556},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10915-023-02401-4","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10915-023-02401-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02401-4.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2108.05879","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2108.05879","pdf_url":"https://arxiv.org/pdf/2108.05879","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.ed.ac.uk:publications/4b1618dd-3c05-4d5e-8454-31fcceb3429f","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2108.05879","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.ed.ac.uk:openaire/4b1618dd-3c05-4d5e-8454-31fcceb3429f","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/files/389391583/Models_and_ML.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Chevyrev, I, Gerasimovics, A & Weber, H 2024, 'Feature Engineering with Regularity Structures', Journal of Scientific Computing, vol. 98, 13. https://doi.org/10.1007/s10915-023-02401-4","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10915-023-02401-4","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10915-023-02401-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02401-4.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3187934771.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W337289788","https://openalex.org/W595079961","https://openalex.org/W1485009520","https://openalex.org/W1542004730","https://openalex.org/W1958291604","https://openalex.org/W1966404902","https://openalex.org/W2004095444","https://openalex.org/W2014356541","https://openalex.org/W2115709314","https://openalex.org/W2143246460","https://openalex.org/W2144530504","https://openalex.org/W2152132117","https://openalex.org/W2164954534","https://openalex.org/W2212660284","https://openalex.org/W2297500149","https://openalex.org/W2525748878","https://openalex.org/W2530921800","https://openalex.org/W2534240011","https://openalex.org/W2541577471","https://openalex.org/W2737620107","https://openalex.org/W2749028154","https://openalex.org/W2770491442","https://openalex.org/W2800133189","https://openalex.org/W2803629276","https://openalex.org/W2805139353","https://openalex.org/W2891039272","https://openalex.org/W2898407550","https://openalex.org/W2899283552","https://openalex.org/W2963216439","https://openalex.org/W2963611658","https://openalex.org/W2964143464","https://openalex.org/W2973119841","https://openalex.org/W2991612390","https://openalex.org/W2993505246","https://openalex.org/W3008205076","https://openalex.org/W3017773673","https://openalex.org/W3021999034","https://openalex.org/W3037588546","https://openalex.org/W3098546160","https://openalex.org/W3100267010","https://openalex.org/W3101563084","https://openalex.org/W3102140816","https://openalex.org/W3104291232","https://openalex.org/W3106345291","https://openalex.org/W3106415951","https://openalex.org/W3118608800","https://openalex.org/W3146797348","https://openalex.org/W3174598394","https://openalex.org/W4245579501","https://openalex.org/W6609928599","https://openalex.org/W6610712822"],"related_works":["https://openalex.org/W2359206539","https://openalex.org/W4391067445","https://openalex.org/W2152320501","https://openalex.org/W2903479806","https://openalex.org/W2148723921","https://openalex.org/W4298106147","https://openalex.org/W4313143217","https://openalex.org/W2368637410","https://openalex.org/W2138715427","https://openalex.org/W2963334076"],"abstract_inverted_index":{"Abstract":[0],"We":[1,75,107,144],"investigate":[2],"the":[3,8,61,70,161,176],"use":[4,63],"of":[5,10,25,51,53,64,72,80,150],"models":[6],"from":[7],"theory":[9],"regularity":[11,41],"structures":[12],"as":[13,47],"features":[14,100],"in":[15,39,66,97,111,148,160],"machine":[16],"learning":[17],"tasks.":[18],"A":[19],"model":[20,82],"is":[21,173],"a":[22,26,77,81,87,122],"polynomial":[23],"function":[24],"space\u2013time":[27,88],"signal":[28],"designed":[29,115],"to":[30,33,59,86,116,119,155,175],"well-approximate":[31],"solutions":[32,118],"partial":[34],"differential":[35],"equations":[36,135],"(PDEs),":[37],"even":[38],"low":[40],"regimes.":[42],"Models":[43],"can":[44,101],"be":[45,102],"seen":[46],"natural":[48],"multi-dimensional":[49],"generalisations":[50],"signatures":[52,65],"paths;":[54],"our":[55,151],"work":[56],"therefore":[57],"aims":[58],"extend":[60],"recent":[62],"data":[67],"science":[68],"beyond":[69],"context":[71],"time-ordered":[73],"data.":[74,127],"provide":[76],"flexible":[78],"definition":[79],"feature":[83],"vector":[84],"associated":[85],"signal,":[89],"along":[90],"with":[91,104,121,136,141,163],"two":[92],"algorithms":[93,110,152],"which":[94,98],"illustrate":[95],"ways":[96],"these":[99,109],"combined":[103],"linear":[105],"regression.":[106],"apply":[108],"several":[112,156],"numerical":[113],"experiments":[114,129],"learn":[117],"PDEs":[120],"given":[123],"forcing":[124],"and":[125,133,138],"boundary":[126],"Our":[128],"include":[130],"semi-linear":[131],"parabolic":[132],"wave":[134],"forcing,":[137],"Burgers\u2019":[139,164],"equation":[140],"no":[142],"forcing.":[143],"find":[145,167],"an":[146],"advantage":[147],"favour":[149],"when":[153,171],"compared":[154],"alternative":[157],"methods.":[158],"Additionally,":[159],"experiment":[162],"equation,":[165],"we":[166],"non-trivial":[168],"predictive":[169],"power":[170],"noise":[172],"added":[174],"observations.":[177]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}