{"id":"https://openalex.org/W3160842736","doi":"https://doi.org/10.1109/icpr48806.2021.9413338","title":"Fractional Adaptation of Activation Functions In Neural Networks","display_name":"Fractional Adaptation of Activation Functions In Neural Networks","publication_year":2021,"publication_date":"2021-01-10","ids":{"openalex":"https://openalex.org/W3160842736","doi":"https://doi.org/10.1109/icpr48806.2021.9413338","mag":"3160842736"},"language":"en","primary_location":{"id":"doi:10.1109/icpr48806.2021.9413338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr48806.2021.9413338","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 25th International Conference on Pattern Recognition (ICPR)","raw_type":"proceedings-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/A5058817422","display_name":"Julio Zamora Esquivel","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Julio Zamora Esquivel","raw_affiliation_strings":["Hector Alfonso Cordourier Maruri, Jose Rodrigo Camacho Perez, Omesh Tickoo Intel labs, Zapopan, Jalisco, Mexico"],"affiliations":[{"raw_affiliation_string":"Hector Alfonso Cordourier Maruri, Jose Rodrigo Camacho Perez, Omesh Tickoo Intel labs, Zapopan, Jalisco, Mexico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112414581","display_name":"Jes\u00fas Vargas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jesus Adan Cruz Vargas","raw_affiliation_strings":["Hector Alfonso Cordourier Maruri, Jose Rodrigo Camacho Perez, Omesh Tickoo Intel labs, Zapopan, Jalisco, Mexico"],"affiliations":[{"raw_affiliation_string":"Hector Alfonso Cordourier Maruri, Jose Rodrigo Camacho Perez, Omesh Tickoo Intel labs, Zapopan, Jalisco, Mexico","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077970102","display_name":"Paulo Lopez\u2010Meyer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paulo Lopez-Meyer","raw_affiliation_strings":["Hector Alfonso Cordourier Maruri, Jose Rodrigo Camacho Perez, Omesh Tickoo Intel labs, Zapopan, Jalisco, Mexico"],"affiliations":[{"raw_affiliation_string":"Hector Alfonso Cordourier Maruri, Jose Rodrigo Camacho Perez, Omesh Tickoo Intel labs, Zapopan, Jalisco, Mexico","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058817422"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4079,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67387779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"7544","last_page":"7550"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9962999820709229,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9957000017166138,"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"}},{"id":"https://openalex.org/T12874","display_name":"Digital Imaging for Blood Diseases","score":0.9904999732971191,"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/activation-function","display_name":"Activation function","score":0.8079003095626831},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.717480480670929},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.698959469795227},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6930182576179504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6658461093902588},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5817289352416992},{"id":"https://openalex.org/keywords/adaptation","display_name":"Adaptation (eye)","score":0.5690808296203613},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5668368339538574},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5161024928092957},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4733586311340332},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4517277777194977},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4234235882759094},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35466814041137695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24429208040237427},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.13492199778556824}],"concepts":[{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.8079003095626831},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.717480480670929},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.698959469795227},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6930182576179504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6658461093902588},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5817289352416992},{"id":"https://openalex.org/C139807058","wikidata":"https://www.wikidata.org/wiki/Q352374","display_name":"Adaptation (eye)","level":2,"score":0.5690808296203613},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5668368339538574},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5161024928092957},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4733586311340332},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4517277777194977},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4234235882759094},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35466814041137695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24429208040237427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.13492199778556824},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icpr48806.2021.9413338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr48806.2021.9413338","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 25th International Conference on Pattern Recognition (ICPR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W154646596","https://openalex.org/W1553338987","https://openalex.org/W1572063013","https://openalex.org/W1573503290","https://openalex.org/W1605182429","https://openalex.org/W1677182931","https://openalex.org/W1683511521","https://openalex.org/W1799366690","https://openalex.org/W1905882502","https://openalex.org/W1973352373","https://openalex.org/W2032571282","https://openalex.org/W2117539524","https://openalex.org/W2161153310","https://openalex.org/W2168148636","https://openalex.org/W2194775991","https://openalex.org/W2302255633","https://openalex.org/W2801179766","https://openalex.org/W2954511444","https://openalex.org/W2962907613","https://openalex.org/W2962972936","https://openalex.org/W2963285578","https://openalex.org/W2963454111","https://openalex.org/W3118608800","https://openalex.org/W3121926921","https://openalex.org/W3125923133","https://openalex.org/W4236398741","https://openalex.org/W4256694603","https://openalex.org/W4300223101","https://openalex.org/W6684813833","https://openalex.org/W6685562342","https://openalex.org/W6698183232","https://openalex.org/W6739879593","https://openalex.org/W6787972765"],"related_works":["https://openalex.org/W3110577345","https://openalex.org/W2946235959","https://openalex.org/W2902935192","https://openalex.org/W3134817226","https://openalex.org/W4318066384","https://openalex.org/W3215912596","https://openalex.org/W3198895633","https://openalex.org/W4287019248","https://openalex.org/W4385451479","https://openalex.org/W2981858362"],"abstract_inverted_index":{"In":[0],"this":[1,82,120],"work,":[2],"we":[3],"introduce":[4],"a":[5,17,55,70,124,132],"generalization":[6],"methodology":[7,29],"for":[8,71,76],"the":[9,13,31,43,48,52,84,87,103,108,116,129,143],"automatic":[10],"selection":[11,73],"of":[12,22,51,54,118,131],"activation":[14,40,58,92],"functions":[15,41],"inside":[16,86],"neural":[18,32],"network,":[19],"taking":[20],"advantage":[21],"concepts":[23],"defined":[24],"in":[25,142],"fractional":[26,49,61],"calculus.":[27],"This":[28,60],"enables":[30],"network":[33,88],"to":[34,97,100],"search":[35],"and":[36,74,106,137],"optimize":[37],"its":[38],"own":[39],"during":[42],"training":[44,68],"process,":[45],"by":[46,127],"defining":[47],"order":[50,62],"derivative":[53],"given":[56],"primitive":[57],"function.":[59],"is":[63],"tuned":[64],"as":[65],"an":[66],"additional":[67],"hyper-parameter":[69],"intrafamily":[72],"b":[75],"cross":[77],"family":[78],"selection.":[79],"By":[80],"following":[81],"approach,":[83],"neurons":[85],"can":[89],"adjust":[90],"their":[91],"functions,":[93],"e.g.":[94],"from":[95],"MLP":[96],"RBF":[98],"networks,":[99],"best":[101],"fit":[102],"input":[104],"data,":[105],"reduce":[107],"output":[109],"error.":[110],"The":[111],"experimental":[112],"results":[113],"obtained":[114],"show":[115],"benefits":[117],"using":[119],"technique":[121],"implemented":[122],"on":[123],"ResNet18":[125],"topology,":[126],"outperforming":[128],"accuracy":[130],"ResNet100":[133],"trained":[134],"with":[135],"CIFAR10":[136],"Improving":[138],"1%":[139],"ImageNet":[140],"reported":[141],"literature.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
