{"id":"https://openalex.org/W4309702210","doi":"https://doi.org/10.3390/make4040055","title":"SGD-Based Cascade Scheme for Higher Degrees Wiener Polynomial Approximation of Large Biomedical Datasets","display_name":"SGD-Based Cascade Scheme for Higher Degrees Wiener Polynomial Approximation of Large Biomedical Datasets","publication_year":2022,"publication_date":"2022-11-21","ids":{"openalex":"https://openalex.org/W4309702210","doi":"https://doi.org/10.3390/make4040055"},"language":"en","primary_location":{"id":"doi:10.3390/make4040055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/make4040055","pdf_url":"https://www.mdpi.com/2504-4990/4/4/55/pdf?version=1669028531","source":{"id":"https://openalex.org/S4210213891","display_name":"Machine Learning and Knowledge Extraction","issn_l":"2504-4990","issn":["2504-4990"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning and Knowledge Extraction","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2504-4990/4/4/55/pdf?version=1669028531","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007224693","display_name":"Ivan Izonin","orcid":"https://orcid.org/0000-0002-9761-0096"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Ivan Izonin","raw_affiliation_strings":["Department of Artificial Intelligence, Lviv Polytechnic National University, 79013 Lviv, Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-9761-0096","affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence, Lviv Polytechnic National University, 79013 Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006054388","display_name":"Roman Tkachenko","orcid":"https://orcid.org/0000-0002-9802-6799"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Roman Tkachenko","raw_affiliation_strings":["Department of Publishing Information Technologies, Lviv Polytechnic National University, 79013 Lviv, Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-9802-6799","affiliations":[{"raw_affiliation_string":"Department of Publishing Information Technologies, Lviv Polytechnic National University, 79013 Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052527037","display_name":"Rostyslav Holoven","orcid":null},"institutions":[{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Rostyslav Holoven","raw_affiliation_strings":["Department of System Design, Ivan Franko National University of Lviv, 79005 Lviv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of System Design, Ivan Franko National University of Lviv, 79005 Lviv, Ukraine","institution_ids":["https://openalex.org/I200280692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065605988","display_name":"Kyrylo Yemets","orcid":"https://orcid.org/0000-0002-5157-9118"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Kyrylo Yemets","raw_affiliation_strings":["Department of Artificial Intelligence, Lviv Polytechnic National University, 79013 Lviv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence, Lviv Polytechnic National University, 79013 Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061516461","display_name":"Myroslav Havryliuk","orcid":"https://orcid.org/0000-0001-5259-7564"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Myroslav Havryliuk","raw_affiliation_strings":["Department of Artificial Intelligence, Lviv Polytechnic National University, 79013 Lviv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence, Lviv Polytechnic National University, 79013 Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032017539","display_name":"Shishir Kumar Shandilya","orcid":"https://orcid.org/0000-0002-3308-4445"},"institutions":[{"id":"https://openalex.org/I464993","display_name":"Barkatullah University","ror":"https://ror.org/02ax13658","country_code":"IN","type":"education","lineage":["https://openalex.org/I464993"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shishir Kumar Shandilya","raw_affiliation_strings":["School of Computing Science and Engineering, VIT Bhopal University, Bhopal 466114, India"],"raw_orcid":"https://orcid.org/0000-0002-3308-4445","affiliations":[{"raw_affiliation_string":"School of Computing Science and Engineering, VIT Bhopal University, Bhopal 466114, India","institution_ids":["https://openalex.org/I464993"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5007224693"],"corresponding_institution_ids":["https://openalex.org/I98435010"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.8054,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87509541,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"4","issue":"4","first_page":"1088","last_page":"1106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14351","display_name":"Statistical and Computational Modeling","score":0.9506999850273132,"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/T14351","display_name":"Statistical and Computational Modeling","score":0.9506999850273132,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.6965516805648804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6455850601196289},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6138520240783691},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5471972823143005},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.47283679246902466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44574347138404846},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3947235345840454},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3721936345100403},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.34231019020080566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23733660578727722},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.1405334770679474},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0771285891532898}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.6965516805648804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6455850601196289},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6138520240783691},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5471972823143005},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.47283679246902466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44574347138404846},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3947235345840454},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3721936345100403},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34231019020080566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23733660578727722},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1405334770679474},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0771285891532898},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/make4040055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/make4040055","pdf_url":"https://www.mdpi.com/2504-4990/4/4/55/pdf?version=1669028531","source":{"id":"https://openalex.org/S4210213891","display_name":"Machine Learning and Knowledge Extraction","issn_l":"2504-4990","issn":["2504-4990"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning and Knowledge Extraction","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ce785b7d7dbc4fdd9ded2fccc453c1de","is_oa":true,"landing_page_url":"https://doaj.org/article/ce785b7d7dbc4fdd9ded2fccc453c1de","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Machine Learning and Knowledge Extraction, Vol 4, Iss 4, Pp 1088-1106 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2504-4990/4/4/55/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/make4040055","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Machine Learning and Knowledge Extraction; Volume 4; Issue 4; Pages: 1088-1106","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/make4040055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/make4040055","pdf_url":"https://www.mdpi.com/2504-4990/4/4/55/pdf?version=1669028531","source":{"id":"https://openalex.org/S4210213891","display_name":"Machine Learning and Knowledge Extraction","issn_l":"2504-4990","issn":["2504-4990"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning and Knowledge Extraction","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4309702210.pdf","grobid_xml":"https://content.openalex.org/works/W4309702210.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W1525729410","https://openalex.org/W2098691287","https://openalex.org/W2140029331","https://openalex.org/W2604361511","https://openalex.org/W2765484974","https://openalex.org/W2766808904","https://openalex.org/W2781613268","https://openalex.org/W2789804061","https://openalex.org/W2948590037","https://openalex.org/W2962757617","https://openalex.org/W2963578277","https://openalex.org/W2977362130","https://openalex.org/W3006912832","https://openalex.org/W3016869613","https://openalex.org/W3034215513","https://openalex.org/W3037907733","https://openalex.org/W3038431543","https://openalex.org/W3083186111","https://openalex.org/W3088983601","https://openalex.org/W3097958092","https://openalex.org/W3114936454","https://openalex.org/W3116193365","https://openalex.org/W3120923230","https://openalex.org/W3123054981","https://openalex.org/W3164103882","https://openalex.org/W3166200656","https://openalex.org/W3181708539","https://openalex.org/W3198050839","https://openalex.org/W3198404677","https://openalex.org/W3211408592","https://openalex.org/W3212644901","https://openalex.org/W3212771279","https://openalex.org/W3216636002","https://openalex.org/W4205913813","https://openalex.org/W4206027888","https://openalex.org/W4210509122","https://openalex.org/W4221059169","https://openalex.org/W4224269674","https://openalex.org/W4239989401","https://openalex.org/W4291553615","https://openalex.org/W4291554851","https://openalex.org/W4294719120","https://openalex.org/W4381481714","https://openalex.org/W6675126190","https://openalex.org/W6680632319","https://openalex.org/W6735943036","https://openalex.org/W6745425480","https://openalex.org/W6746036910","https://openalex.org/W6747669940","https://openalex.org/W6765837049","https://openalex.org/W6768528014","https://openalex.org/W6787850662","https://openalex.org/W6804204319","https://openalex.org/W6810225767","https://openalex.org/W6821579706","https://openalex.org/W6840930504","https://openalex.org/W6841770387","https://openalex.org/W6842644029"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W1971748923","https://openalex.org/W2060986072","https://openalex.org/W1566155057","https://openalex.org/W2052574922","https://openalex.org/W2065045110","https://openalex.org/W64588465","https://openalex.org/W3120641340","https://openalex.org/W2117825986","https://openalex.org/W3134067061"],"abstract_inverted_index":{"The":[0,23,80,105,124,139],"modern":[1],"development":[2,31],"of":[3,13,16,26,32,49,69,72,85,92,127,141,148,159,177,184],"the":[4,11,30,47,70,86,90,93,99,117,128,132,149,157,171,175,182,189],"biomedical":[5,190],"engineering":[6,191],"area":[7],"is":[8,162],"accompanied":[9],"by":[10,145],"availability":[12],"large":[14,178],"volumes":[15],"data":[17,28,74],"with":[18,75,152],"a":[19,42,51,66,76,112,153,166],"non-linear":[20],"response":[21],"surface.":[22],"effective":[24],"analysis":[25,176],"such":[27,73],"requires":[29],"new,":[33],"more":[34],"productive":[35],"machine":[36],"learning":[37,87],"methods.":[38],"This":[39],"paper":[40],"proposes":[41],"cascade":[43],"ensemble":[44,95,134],"that":[45],"combines":[46],"advantages":[48],"using":[50],"high-order":[52],"Wiener":[53,150],"polynomial":[54,151],"and":[55,89,97],"Stochastic":[56],"Gradient":[57],"Descent":[58],"algorithm":[59],"while":[60],"eliminating":[61],"their":[62],"disadvantages":[63],"to":[64],"ensure":[65],"high":[67,125,146],"accuracy":[68,126],"approximation":[71,129,144],"satisfactory":[77],"training":[78,168],"time.":[79],"work":[81],"presents":[82],"flow":[83],"charts":[84],"algorithms":[88],"application":[91],"developed":[94,133],"scheme,":[96],"all":[98],"steps":[100],"are":[101],"described":[102],"in":[103,156,188],"detail.":[104],"simulation":[106],"was":[107,136],"carried":[108],"out":[109],"based":[110,130],"on":[111,131],"real-world":[113],"dataset.":[114],"Procedures":[115],"for":[116,170],"proposed":[118,172],"model":[119],"tuning":[120],"have":[121],"been":[122],"performed.":[123],"scheme":[135],"established":[137],"experimentally.":[138],"possibility":[140,183],"an":[142],"implicit":[143],"orders":[147],"slight":[154],"increase":[155],"number":[158],"its":[160,185],"members":[161],"shown.":[163],"It":[164],"ensures":[165],"low":[167],"time":[169],"method":[173],"during":[174],"datasets,":[179],"which":[180],"provides":[181],"practical":[186],"use":[187],"area.":[192]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2022-11-29T00:00:00"}
