{"id":"https://openalex.org/W4362655912","doi":"https://doi.org/10.1145/3618340","title":"Neural Field Convolutions by Repeated Differentiation","display_name":"Neural Field Convolutions by Repeated Differentiation","publication_year":2023,"publication_date":"2023-12-05","ids":{"openalex":"https://openalex.org/W4362655912","doi":"https://doi.org/10.1145/3618340"},"language":"en","primary_location":{"id":"doi:10.1145/3618340","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3618340","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2304.01834","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062530447","display_name":"Ntumba Elie Nsampi","orcid":"https://orcid.org/0000-0002-3769-9850"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ntumba Elie Nsampi","raw_affiliation_strings":["MPI Informatik, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI Informatik, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078662118","display_name":"Adarsh Djeacoumar","orcid":"https://orcid.org/0009-0008-1919-450X"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Adarsh Djeacoumar","raw_affiliation_strings":["MPI Informatik, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI Informatik, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058028526","display_name":"Hans\u2010Peter Seidel","orcid":"https://orcid.org/0000-0002-1343-8613"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans-Peter Seidel","raw_affiliation_strings":["MPI Informatik, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI Informatik, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028727036","display_name":"T. Ritschel","orcid":"https://orcid.org/0000-0003-1715-7306"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tobias Ritschel","raw_affiliation_strings":["University College London, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University College London, United Kingdom","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113193684","display_name":"Thomas Leimk\u00fchler","orcid":"https://orcid.org/0009-0006-7784-7957"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Leimk\u00fchler","raw_affiliation_strings":["MPI Informatik, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI Informatik, Germany","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5318,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65037619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"42","issue":"6","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.996399998664856,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/piecewise","display_name":"Piecewise","score":0.7174534201622009},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.6155883073806763},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5966231822967529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5869231224060059},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4971509277820587},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.47936540842056274},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.4317496120929718},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4273523688316345},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.41746675968170166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35205626487731934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3230959475040436},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2816199064254761},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.26387885212898254},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14450383186340332},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1314397156238556}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7174534201622009},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6155883073806763},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5966231822967529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5869231224060059},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4971509277820587},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47936540842056274},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.4317496120929718},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4273523688316345},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.41746675968170166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35205626487731934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3230959475040436},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2816199064254761},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.26387885212898254},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14450383186340332},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1314397156238556},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3618340","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3618340","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2304.01834","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.01834","pdf_url":"https://arxiv.org/pdf/2304.01834","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2304.01834","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.01834","pdf_url":"https://arxiv.org/pdf/2304.01834","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1504916371","https://openalex.org/W1976454752","https://openalex.org/W1991605728","https://openalex.org/W2099244020","https://openalex.org/W2106378581","https://openalex.org/W2109863423","https://openalex.org/W2112328181","https://openalex.org/W2143425433","https://openalex.org/W2164598857","https://openalex.org/W2168353136","https://openalex.org/W2798297823","https://openalex.org/W2806332096","https://openalex.org/W2811288297","https://openalex.org/W3036234074","https://openalex.org/W3036843665","https://openalex.org/W3114462840","https://openalex.org/W3122633743","https://openalex.org/W3139167831","https://openalex.org/W3170344659","https://openalex.org/W3213204809","https://openalex.org/W3214712237","https://openalex.org/W4210863652","https://openalex.org/W4221151978","https://openalex.org/W4231931480","https://openalex.org/W4244659560","https://openalex.org/W4245760229","https://openalex.org/W4253999777","https://openalex.org/W4282003452","https://openalex.org/W4286611057","https://openalex.org/W4286611307","https://openalex.org/W4287756134","https://openalex.org/W4297846303","https://openalex.org/W4303574492","https://openalex.org/W4309573029","https://openalex.org/W4312839164","https://openalex.org/W4320343039","https://openalex.org/W6803675504"],"related_works":["https://openalex.org/W2964954556","https://openalex.org/W4308757930","https://openalex.org/W2383844134","https://openalex.org/W2374198922","https://openalex.org/W2889599571","https://openalex.org/W2151524381","https://openalex.org/W1833822726","https://openalex.org/W2798137860","https://openalex.org/W2065958989","https://openalex.org/W1998603635"],"abstract_inverted_index":{"Neural":[0],"fields":[1],"are":[2,19],"evolving":[3],"towards":[4],"a":[5,26,30,52,67,81],"general-purpose":[6],"continuous":[7,35,39],"representation":[8],"for":[9],"visual":[10],"computing.":[11],"Yet,":[12],"despite":[13],"their":[14],"numerous":[15],"appealing":[16],"properties,":[17],"they":[18],"hardly":[20],"amenable":[21],"to":[22,32,51,71],"signal":[23],"processing.":[24],"As":[25],"remedy,":[27],"we":[28,61],"present":[29],"method":[31],"perform":[33],"general":[34,38],"convolutions":[36],"with":[37],"signals":[40],"such":[41],"as":[42],"neural":[43],"fields.":[44],"Observing":[45],"that":[46],"piecewise":[47],"polynomial":[48],"kernels":[49],"reduce":[50],"sparse":[53],"set":[54],"of":[55,83],"Dirac":[56],"deltas":[57],"after":[58],"repeated":[59,68],"differentiation,":[60],"leverage":[62],"convolution":[63],"identities":[64],"and":[65,86],"train":[66],"integral":[69],"field":[70],"efficiently":[72],"execute":[73],"large-scale":[74],"convolutions.":[75],"We":[76],"demonstrate":[77],"our":[78],"approach":[79],"on":[80],"variety":[82],"data":[84],"modalities":[85],"spatially-varying":[87],"kernels.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
