{"id":"https://openalex.org/W2070210167","doi":"https://doi.org/10.1016/s0167-8655(03)00011-4","title":"FractalNet: A biologically inspired neural network approach to fractal geometry","display_name":"FractalNet: A biologically inspired neural network approach to fractal geometry","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2070210167","doi":"https://doi.org/10.1016/s0167-8655(03)00011-4","mag":"2070210167"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8655(03)00011-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8655(03)00011-4","pdf_url":null,"source":{"id":"https://openalex.org/S151820558","display_name":"Pattern Recognition Letters","issn_l":"0167-8655","issn":["0167-8655","1872-7344"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition Letters","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/A5108107118","display_name":"Ronald Marsh","orcid":null},"institutions":[{"id":"https://openalex.org/I24571045","display_name":"University of North Dakota","ror":"https://ror.org/04a5szx83","country_code":"US","type":"education","lineage":["https://openalex.org/I24571045"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ronald Marsh","raw_affiliation_strings":["Department of Computer Science, University of North Dakota, Streibel Hall, Room 218 (box 9015), Grand Forks, ND 58201, USA","Department of Computer Science, University of North Dakota, Streibel Hall, Room 218 (box 9015), Grand Forks, ND#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of North Dakota, Streibel Hall, Room 218 (box 9015), Grand Forks, ND 58201, USA","institution_ids":["https://openalex.org/I24571045"]},{"raw_affiliation_string":"Department of Computer Science, University of North Dakota, Streibel Hall, Room 218 (box 9015), Grand Forks, ND#TAB#","institution_ids":["https://openalex.org/I24571045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108107118"],"corresponding_institution_ids":["https://openalex.org/I24571045"],"apc_list":{"value":2270,"currency":"USD","value_usd":2270},"apc_paid":null,"fwci":0.5539,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.80427366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"24","issue":"12","first_page":"1881","last_page":"1887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9850999712944031,"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":0.9850999712944031,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9666000008583069,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.76662278175354},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.7640551924705505},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.7268111109733582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.580703854560852},{"id":"https://openalex.org/keywords/box-counting","display_name":"Box counting","score":0.5691460371017456},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.5658048391342163},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5176458954811096},{"id":"https://openalex.org/keywords/fractal-dimension-on-networks","display_name":"Fractal dimension on networks","score":0.4778023362159729},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4697205126285553},{"id":"https://openalex.org/keywords/biological-network","display_name":"Biological network","score":0.467612624168396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40202775597572327},{"id":"https://openalex.org/keywords/fractal-analysis","display_name":"Fractal analysis","score":0.3925733268260956},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3799230754375458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3461647629737854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07996007800102234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07814943790435791}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.76662278175354},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7640551924705505},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.7268111109733582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.580703854560852},{"id":"https://openalex.org/C99008458","wikidata":"https://www.wikidata.org/wiki/Q4951583","display_name":"Box counting","level":5,"score":0.5691460371017456},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.5658048391342163},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5176458954811096},{"id":"https://openalex.org/C60396315","wikidata":"https://www.wikidata.org/wiki/Q5477489","display_name":"Fractal dimension on networks","level":5,"score":0.4778023362159729},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4697205126285553},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.467612624168396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40202775597572327},{"id":"https://openalex.org/C162494671","wikidata":"https://www.wikidata.org/wiki/Q2845227","display_name":"Fractal analysis","level":4,"score":0.3925733268260956},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3799230754375458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3461647629737854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07996007800102234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07814943790435791},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8655(03)00011-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8655(03)00011-4","pdf_url":null,"source":{"id":"https://openalex.org/S151820558","display_name":"Pattern Recognition Letters","issn_l":"0167-8655","issn":["0167-8655","1872-7344"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W632688649","https://openalex.org/W1497262258","https://openalex.org/W1967426304","https://openalex.org/W1967924750","https://openalex.org/W1970930284","https://openalex.org/W1974128064","https://openalex.org/W1989890904","https://openalex.org/W2021625906","https://openalex.org/W2023227003","https://openalex.org/W2023952640","https://openalex.org/W2031753087","https://openalex.org/W2032121576","https://openalex.org/W2041790227","https://openalex.org/W2051204549","https://openalex.org/W2078815478","https://openalex.org/W2091797867","https://openalex.org/W2097147533","https://openalex.org/W2121968441","https://openalex.org/W2127427015","https://openalex.org/W2245110805","https://openalex.org/W2800860906","https://openalex.org/W6629830854"],"related_works":["https://openalex.org/W2360338089","https://openalex.org/W2005939750","https://openalex.org/W2144094603","https://openalex.org/W2371203286","https://openalex.org/W2044531707","https://openalex.org/W2003790600","https://openalex.org/W2384057784","https://openalex.org/W4299620820","https://openalex.org/W2735005568","https://openalex.org/W2545049356"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}