{"id":"https://openalex.org/W2907920413","doi":null,"title":"Dense Morphological Network: An Universal Function Approximator","display_name":"Dense Morphological Network: An Universal Function Approximator","publication_year":2018,"publication_date":"2018-09-27","ids":{"openalex":"https://openalex.org/W2907920413","mag":"2907920413"},"language":"en","primary_location":{"id":"mag:2907920413","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.00109.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1901.00109.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074408392","display_name":"Ranjan Mondal","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ranjan Mondal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074864311","display_name":"Sanchayan Santra","orcid":"https://orcid.org/0000-0002-5770-8611","observed_orcids":["https://orcid.org/0000-0002-5770-8611"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sanchayan Santra","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5770-8611","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079139411","display_name":"Bhabatosh Chanda","orcid":"https://orcid.org/0009-0008-7648-6867","observed_orcids":["https://orcid.org/0009-0008-7648-6867"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bhabatosh Chanda","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0008-7648-6867","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9980000257492065,"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":0.9980000257492065,"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":0.0005000000237487257,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.00039999998989515007,"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/morphological-operations","display_name":"morphological operations","score":0.7329999804496765},{"id":"https://openalex.org/keywords/dilation","display_name":"dilation","score":0.6959999799728394},{"id":"https://openalex.org/keywords/erosion","display_name":"erosion","score":1.0},{"id":"https://openalex.org/keywords/function-approximation","display_name":"function approximation","score":0.746999979019165},{"id":"https://openalex.org/keywords/universal-approximation","display_name":"universal approximation","score":0.597000002861023},{"id":"https://openalex.org/keywords/parameter-efficiency","display_name":"parameter efficiency","score":0.5860000252723694}],"concepts":[{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.8246756792068481},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6505362391471863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6399856805801392},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6285521388053894},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.6013155579566956},{"id":"https://openalex.org/C193415008","wikidata":"https://www.wikidata.org/wiki/Q639681","display_name":"Network architecture","level":2,"score":0.47621187567710876},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35454022884368896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29937899112701416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27190732955932617},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06949946284294128},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06277391314506531},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2907920413","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.00109.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2907920413","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.00109.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W1903029394","https://openalex.org/W1966639131","https://openalex.org/W2031888308","https://openalex.org/W2064160177","https://openalex.org/W2087263643","https://openalex.org/W2104307771","https://openalex.org/W2112796928","https://openalex.org/W2122776051","https://openalex.org/W2335728318","https://openalex.org/W2418033038","https://openalex.org/W2504108613","https://openalex.org/W2552465644","https://openalex.org/W2613427450","https://openalex.org/W2750384547","https://openalex.org/W2949117887","https://openalex.org/W2983099873","https://openalex.org/W3118608800"],"related_works":["https://openalex.org/W4415198365","https://openalex.org/W7204992808","https://openalex.org/W4224211405","https://openalex.org/W1966639131","https://openalex.org/W4323520915","https://openalex.org/W2064160177","https://openalex.org/W2474902844","https://openalex.org/W4205718685","https://openalex.org/W3103050052","https://openalex.org/W4312697121"],"abstract_inverted_index":{"Artificial":[0],"neural":[1,129],"networks":[2,106],"are":[3,58,85],"built":[4],"on":[5],"the":[6,32,41,49,52,62,74,87,97],"basic":[7,63,98],"operation":[8,66,99],"of":[9,34,43,51,76,89,121],"linear":[10,64],"combination":[11,65],"and":[12,94],"non-linear":[13,68,78],"activation":[14,44,79],"function.":[15,80],"Theoretically":[16],"this":[17,55,82],"structure":[18],"can":[19,37,46,113],"approximate":[20,114],"any":[21,115],"continuous":[22],"function":[23,45,117],"with":[24,67,73,110,141],"three":[25],"layer":[26],"architecture.":[27],"But":[28],"in":[29,100],"practice":[30],"learning":[31],"parameters":[33,122],"such":[35],"network":[36,136],"be":[38],"hard.":[39],"Also":[40],"choice":[42],"greatly":[47],"impact":[48],"performance":[50],"network.":[53,144],"In":[54],"paper":[56],"we":[57,84],"proposing":[59,86],"to":[60],"replace":[61],"operations":[69,92,112],"that":[70,104,134],"do":[71],"away":[72],"need":[75],"additional":[77],"To":[81],"end":[83],"use":[88],"elementary":[90],"morphological":[91,111],"(dilation":[93],"erosion)":[95],"as":[96,108],"neurons.":[101],"We":[102],"show":[103,133],"these":[105],"(Denoted":[107],"DenMo-Net)":[109],"smooth":[116],"requiring":[118],"less":[119],"number":[120],"than":[123],"what":[124],"is":[125],"necessary":[126],"for":[127],"normal":[128],"networks.":[130],"The":[131],"results":[132],"our":[135],"perform":[137],"favorably":[138],"when":[139],"compared":[140],"similar":[142],"structured":[143]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2019-01-11T00:00:00"}
