{"id":"https://openalex.org/W4378190521","doi":"https://doi.org/10.1134/s0361768823030088","title":"Enhancing Image Recognition with Pre-Defined Convolutional Layers Based on PDEs","display_name":"Enhancing Image Recognition with Pre-Defined Convolutional Layers Based on PDEs","publication_year":2023,"publication_date":"2023-05-25","ids":{"openalex":"https://openalex.org/W4378190521","doi":"https://doi.org/10.1134/s0361768823030088"},"language":"en","primary_location":{"id":"doi:10.1134/s0361768823030088","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768823030088","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015615543","display_name":"Vardan Sahakyan","orcid":"https://orcid.org/0000-0002-7552-4904"},"institutions":[{"id":"https://openalex.org/I188529364","display_name":"Russian-Armenian University","ror":"https://ror.org/01v4e7289","country_code":"AM","type":"education","lineage":["https://openalex.org/I188529364"]}],"countries":["AM"],"is_corresponding":true,"raw_author_name":"V. R. Sahakyan","raw_affiliation_strings":["Russian-Armenian University, Yerevan, Armenia"],"affiliations":[{"raw_affiliation_string":"Russian-Armenian University, Yerevan, Armenia","institution_ids":["https://openalex.org/I188529364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090956865","display_name":"Vahagn Melkonyan","orcid":"https://orcid.org/0000-0002-3584-1294"},"institutions":[{"id":"https://openalex.org/I188529364","display_name":"Russian-Armenian University","ror":"https://ror.org/01v4e7289","country_code":"AM","type":"education","lineage":["https://openalex.org/I188529364"]}],"countries":["AM"],"is_corresponding":false,"raw_author_name":"V. G. Melkonyan","raw_affiliation_strings":["Russian-Armenian University, Yerevan, Armenia"],"affiliations":[{"raw_affiliation_string":"Russian-Armenian University, Yerevan, Armenia","institution_ids":["https://openalex.org/I188529364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092016017","display_name":"Gor Gharagyozyan","orcid":"https://orcid.org/0000-0002-8694-3207"},"institutions":[{"id":"https://openalex.org/I191043459","display_name":"National Polytechnic University of Armenia","ror":"https://ror.org/007b9cn27","country_code":"AM","type":"education","lineage":["https://openalex.org/I191043459"]}],"countries":["AM"],"is_corresponding":false,"raw_author_name":"G. A. Gharagyozyan","raw_affiliation_strings":["National Polytechnic University of Armenia, Yerevan, Armenia"],"affiliations":[{"raw_affiliation_string":"National Polytechnic University of Armenia, Yerevan, Armenia","institution_ids":["https://openalex.org/I191043459"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102862699","display_name":"A. S. Avetisyan","orcid":"https://orcid.org/0000-0003-4189-3290"},"institutions":[{"id":"https://openalex.org/I191043459","display_name":"National Polytechnic University of Armenia","ror":"https://ror.org/007b9cn27","country_code":"AM","type":"education","lineage":["https://openalex.org/I191043459"]}],"countries":["AM"],"is_corresponding":false,"raw_author_name":"A. S. Avetisyan","raw_affiliation_strings":["National Polytechnic University of Armenia, Yerevan, Armenia"],"affiliations":[{"raw_affiliation_string":"National Polytechnic University of Armenia, Yerevan, Armenia","institution_ids":["https://openalex.org/I191043459"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015615543"],"corresponding_institution_ids":["https://openalex.org/I188529364"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04488157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"3","first_page":"192","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.9995999932289124,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9995999932289124,"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/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.581134557723999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5730081796646118},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.5246701240539551},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.48526355624198914},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46178868412971497},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.33447206020355225}],"concepts":[{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.581134557723999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5730081796646118},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.5246701240539551},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.48526355624198914},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46178868412971497},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.33447206020355225}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0361768823030088","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768823030088","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W2315651828","https://openalex.org/W2549139847","https://openalex.org/W2919115771","https://openalex.org/W2963446712","https://openalex.org/W2974916071","https://openalex.org/W2993223405","https://openalex.org/W3006098440","https://openalex.org/W4231109964","https://openalex.org/W4302436815","https://openalex.org/W4312696134","https://openalex.org/W6600160826","https://openalex.org/W6600725278"],"related_works":["https://openalex.org/W2755342338","https://openalex.org/W2058170566","https://openalex.org/W2036807459","https://openalex.org/W2775347418","https://openalex.org/W1969923398","https://openalex.org/W2166024367","https://openalex.org/W2772917594","https://openalex.org/W3116076068","https://openalex.org/W2229312674","https://openalex.org/W2079911747"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"the":[5,46],"use":[6],"of":[7,34],"2D":[8],"pre-defined":[9],"convolutional":[10],"layers":[11],"based":[12],"on":[13,32,45],"parabolic":[14],"and":[15,38,41],"hyperbolic":[16],"Partial":[17],"Differential":[18],"Equations":[19],"(PDEs)":[20],"to":[21],"learn":[22],"low-level":[23],"abstractions.":[24],"We":[25],"demonstrate":[26],"their":[27],"effectiveness":[28],"by":[29],"adding":[30],"them":[31],"top":[33],"ResNet,":[35],"ResNext,":[36],"DenseNet,":[37],"VGG":[39],"architectures":[40],"performing":[42],"numerical":[43],"experiments":[44],"CIFAR-10":[47],"dataset.":[48]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}