{"id":"https://openalex.org/W4386565964","doi":"https://doi.org/10.1016/j.acha.2023.101597","title":"On generalizations of the nonwindowed scattering transform","display_name":"On generalizations of the nonwindowed scattering transform","publication_year":2023,"publication_date":"2023-09-09","ids":{"openalex":"https://openalex.org/W4386565964","doi":"https://doi.org/10.1016/j.acha.2023.101597","pmid":"https://pubmed.ncbi.nlm.nih.gov/37810532","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/10552568"},"language":"en","primary_location":{"id":"doi:10.1016/j.acha.2023.101597","doi":"https://doi.org/10.1016/j.acha.2023.101597","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.acha.2023.101597","pdf_url":null,"source":{"id":"https://openalex.org/S71199174","display_name":"Applied and Computational Harmonic Analysis","issn_l":"1063-5203","issn":["1063-5203","1096-603X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Applied and Computational Harmonic Analysis","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.acha.2023.101597","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010052685","display_name":"Albert Chua","orcid":"https://orcid.org/0000-0002-9389-7683","observed_orcids":["https://orcid.org/0000-0002-9389-7683"]},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Albert Chua","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI, 48824 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, 48824 USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044875969","display_name":"Matthew Hirn","orcid":"https://orcid.org/0000-0003-0290-4292","observed_orcids":["https://orcid.org/0000-0003-0290-4292"]},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Hirn","raw_affiliation_strings":["Center for Quantum Computing, Science & Engineering Michigan State University, East Lansing, MI, 48824 USA","Department of Computational Mathematics, Science & Engineering, Michigan State University, East Lansing, MI, 48824 USA","Department of Mathematics, Michigan State University, East Lansing, MI, 48824 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Computing, Science & Engineering Michigan State University, East Lansing, MI, 48824 USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Department of Computational Mathematics, Science & Engineering, Michigan State University, East Lansing, MI, 48824 USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, 48824 USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063777231","display_name":"Anna V. Little","orcid":"https://orcid.org/0000-0003-0339-9259","observed_orcids":["https://orcid.org/0000-0003-0339-9259"]},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anna Little","raw_affiliation_strings":["Department of Mathematics and the Utah Center For Data Science, University of Utah, Salt Lake City, UT, 84112 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and the Utah Center For Data Science, University of Utah, Salt Lake City, UT, 84112 USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010052685"],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":{"value":2830,"currency":"USD","value_usd":2830},"apc_paid":null,"fwci":1.3897,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78986358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"68","issue":null,"first_page":"101597","last_page":"101597"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.0,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/time-frequency-analysis","display_name":"time-frequency analysis","score":0.6389999985694885},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"wavelet transform","score":0.3630000054836273}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9134176969528198},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7270607948303223},{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.6369291543960571},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6172785758972168},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6104802489280701},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5850673317909241},{"id":"https://openalex.org/C95722684","wikidata":"https://www.wikidata.org/wiki/Q2622756","display_name":"Continuous wavelet transform","level":5,"score":0.5444523096084595},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5298359990119934},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49371227622032166},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.4601685404777527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3681796193122864},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3305051922798157},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.17660737037658691},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.06646531820297241},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05223226547241211},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/j.acha.2023.101597","doi":"https://doi.org/10.1016/j.acha.2023.101597","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.acha.2023.101597","pdf_url":null,"source":{"id":"https://openalex.org/S71199174","display_name":"Applied and Computational Harmonic Analysis","issn_l":"1063-5203","issn":["1063-5203","1096-603X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Applied and Computational Harmonic Analysis","raw_type":"journal-article"},{"id":"pmid:37810532","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37810532","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied and computational harmonic analysis","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:10552568","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10552568","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10552568/pdf/nihms-1931528.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Appl Comput Harmon Anal","raw_type":"Text"},{"id":"pmh:oai:arXiv.org:2209.05038","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2209.05038","pdf_url":"https://arxiv.org/pdf/2209.05038","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,"listed_in":[],"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:osti.gov:2004639","doi":null,"is_oa":false,"landing_page_url":"https://www.osti.gov/biblio/2004639","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"doi:10.48550/arxiv.2209.05038","doi":"https://doi.org/10.48550/arxiv.2209.05038","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2209.05038","pdf_url":null,"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,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/j.acha.2023.101597","doi":"https://doi.org/10.1016/j.acha.2023.101597","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.acha.2023.101597","pdf_url":null,"source":{"id":"https://openalex.org/S71199174","display_name":"Applied and Computational Harmonic Analysis","issn_l":"1063-5203","issn":["1063-5203","1096-603X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Applied and Computational Harmonic Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1106033871","display_name":"FROM QUARKS TO STARS; A QUANTUM COMPUTING APPROACH TO THE NUCLEAR MANY-BODY PROBLEM","funder_award_id":"DESC0021152","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2973041457","display_name":null,"funder_award_id":"DE-SC0021152","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7179583350","display_name":"Collaborative Research: Data-driven Path Metrics for Machine Learning","funder_award_id":"1912906","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7599175891","display_name":"CAREER: Understanding Invariant Convolutional Neural Networks through Many Particle Physics","funder_award_id":"1845856","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8633301738","display_name":"Finding emergent structure in multi-sample biological data with the dual geometry of cells and features   ","funder_award_id":"R01GM135929","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386565964.pdf","grobid_xml":"https://content.openalex.org/works/W4386565964.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1459519259","https://openalex.org/W1531371725","https://openalex.org/W1548295926","https://openalex.org/W1641465689","https://openalex.org/W1686810756","https://openalex.org/W1994906459","https://openalex.org/W2069504178","https://openalex.org/W2097117768","https://openalex.org/W2163605009","https://openalex.org/W2194775991","https://openalex.org/W2196920785","https://openalex.org/W2406696299","https://openalex.org/W2408046065","https://openalex.org/W2551630517","https://openalex.org/W2589910641","https://openalex.org/W2730845691","https://openalex.org/W2768793812","https://openalex.org/W2798718650","https://openalex.org/W2802360949","https://openalex.org/W2895371093","https://openalex.org/W2945351441","https://openalex.org/W2950467423","https://openalex.org/W2959195885","https://openalex.org/W3033371021","https://openalex.org/W3105204625","https://openalex.org/W3115986945","https://openalex.org/W4236965008","https://openalex.org/W4292024750","https://openalex.org/W4301973505","https://openalex.org/W4388461168","https://openalex.org/W6746281970"],"related_works":["https://openalex.org/W6907746595","https://openalex.org/W2973207115","https://openalex.org/W2564440923","https://openalex.org/W2523278162","https://openalex.org/W2501451034","https://openalex.org/W4247415747","https://openalex.org/W7010567956","https://openalex.org/W299686878","https://openalex.org/W7172486499","https://openalex.org/W3161945381"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-09-10T00:00:00"}
