{"id":"https://openalex.org/W3164220389","doi":"https://doi.org/10.3390/e23060649","title":"Detection of Anomalous Diffusion with Deep Residual Networks","display_name":"Detection of Anomalous Diffusion with Deep Residual Networks","publication_year":2021,"publication_date":"2021-05-22","ids":{"openalex":"https://openalex.org/W3164220389","doi":"https://doi.org/10.3390/e23060649","mag":"3164220389","pmid":"https://pubmed.ncbi.nlm.nih.gov/34067344"},"language":"en","primary_location":{"id":"doi:10.3390/e23060649","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23060649","pdf_url":"https://www.mdpi.com/1099-4300/23/6/649/pdf?version=1624523645","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/6/649/pdf?version=1624523645","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009662840","display_name":"Mi\u0142osz Gajowczyk","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mi\u0142osz Gajowczyk","raw_affiliation_strings":["Faculty of Pure and Applied Mathematics, Hugo Steinhaus Center, Wroc\u0142aw University of Science and Technology, 50-370 Wroc\u0142aw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Pure and Applied Mathematics, Hugo Steinhaus Center, Wroc\u0142aw University of Science and Technology, 50-370 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034612031","display_name":"Janusz Szwabi\u0144ski","orcid":"https://orcid.org/0000-0002-6992-3634"},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Janusz Szwabi\u0144ski","raw_affiliation_strings":["Faculty of Pure and Applied Mathematics, Hugo Steinhaus Center, Wroc\u0142aw University of Science and Technology, 50-370 Wroc\u0142aw, Poland"],"raw_orcid":"https://orcid.org/0000-0002-6992-3634","affiliations":[{"raw_affiliation_string":"Faculty of Pure and Applied Mathematics, Hugo Steinhaus Center, Wroc\u0142aw University of Science and Technology, 50-370 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034612031"],"corresponding_institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.0583,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.75829327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"6","first_page":"649","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T10044","display_name":"Protein Structure and Dynamics","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/overfitting","display_name":"Overfitting","score":0.9546762704849243},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.8604381084442139},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.7048403024673462},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6624655723571777},{"id":"https://openalex.org/keywords/residual-neural-network","display_name":"Residual neural network","score":0.5639985799789429},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.540668785572052},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.4829522967338562},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4753817617893219},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44588789343833923},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4263988137245178},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3879430294036865},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35478731989860535},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.34931421279907227},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.23673847317695618},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16531026363372803},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.1053197979927063}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.9546762704849243},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.8604381084442139},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.7048403024673462},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6624655723571777},{"id":"https://openalex.org/C2944601119","wikidata":"https://www.wikidata.org/wiki/Q43744058","display_name":"Residual neural network","level":3,"score":0.5639985799789429},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.540668785572052},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.4829522967338562},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4753817617893219},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44588789343833923},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4263988137245178},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3879430294036865},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35478731989860535},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.34931421279907227},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.23673847317695618},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16531026363372803},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1053197979927063},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e23060649","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23060649","pdf_url":"https://www.mdpi.com/1099-4300/23/6/649/pdf?version=1624523645","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmid:34067344","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34067344","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:69808fde60ab4d32a3c1585df7ef4471","is_oa":true,"landing_page_url":"https://doaj.org/article/69808fde60ab4d32a3c1585df7ef4471","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":"Entropy, Vol 23, Iss 6, p 649 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/6/649/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23060649","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":"Entropy; Volume 23; Issue 6; Pages: 649","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8224696","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8224696","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e23060649","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23060649","pdf_url":"https://www.mdpi.com/1099-4300/23/6/649/pdf?version=1624523645","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3164220389.pdf","grobid_xml":"https://content.openalex.org/works/W3164220389.grobid-xml"},"referenced_works_count":82,"referenced_works":["https://openalex.org/W69409644","https://openalex.org/W1562974823","https://openalex.org/W1603274157","https://openalex.org/W1665214252","https://openalex.org/W1977042969","https://openalex.org/W1977676064","https://openalex.org/W1978103450","https://openalex.org/W1982300822","https://openalex.org/W1983275616","https://openalex.org/W1986490461","https://openalex.org/W1990912370","https://openalex.org/W2001221216","https://openalex.org/W2003113123","https://openalex.org/W2004050266","https://openalex.org/W2016533177","https://openalex.org/W2031753087","https://openalex.org/W2039213653","https://openalex.org/W2054821964","https://openalex.org/W2055570674","https://openalex.org/W2067790068","https://openalex.org/W2069364984","https://openalex.org/W2069916404","https://openalex.org/W2070554638","https://openalex.org/W2070930064","https://openalex.org/W2073805463","https://openalex.org/W2091464855","https://openalex.org/W2096013004","https://openalex.org/W2097711273","https://openalex.org/W2106743937","https://openalex.org/W2111271983","https://openalex.org/W2114986399","https://openalex.org/W2117333931","https://openalex.org/W2122872379","https://openalex.org/W2132218454","https://openalex.org/W2147688960","https://openalex.org/W2148983475","https://openalex.org/W2152157469","https://openalex.org/W2156302599","https://openalex.org/W2167185762","https://openalex.org/W2167500235","https://openalex.org/W2194775991","https://openalex.org/W2207388150","https://openalex.org/W2219267987","https://openalex.org/W2258076603","https://openalex.org/W2264152830","https://openalex.org/W2288074780","https://openalex.org/W2318735192","https://openalex.org/W2346473394","https://openalex.org/W2502631026","https://openalex.org/W2575265009","https://openalex.org/W2725992404","https://openalex.org/W2761898896","https://openalex.org/W2774182310","https://openalex.org/W2889918024","https://openalex.org/W2903699999","https://openalex.org/W2911555252","https://openalex.org/W2916919706","https://openalex.org/W2920994128","https://openalex.org/W2943222859","https://openalex.org/W2950920049","https://openalex.org/W2951085983","https://openalex.org/W2960756190","https://openalex.org/W2963042536","https://openalex.org/W2963460174","https://openalex.org/W2963855133","https://openalex.org/W2963923251","https://openalex.org/W2964167288","https://openalex.org/W2970971581","https://openalex.org/W3013310197","https://openalex.org/W3036532411","https://openalex.org/W3041139638","https://openalex.org/W3101633869","https://openalex.org/W3102531772","https://openalex.org/W3104368962","https://openalex.org/W3108730181","https://openalex.org/W3114092001","https://openalex.org/W3150012439","https://openalex.org/W3175322774","https://openalex.org/W4205947740","https://openalex.org/W4234429794","https://openalex.org/W4240384253","https://openalex.org/W4248924691"],"related_works":["https://openalex.org/W4295815739","https://openalex.org/W2915512385","https://openalex.org/W3196952692","https://openalex.org/W4328026323","https://openalex.org/W2984708981","https://openalex.org/W4300939921","https://openalex.org/W4383097772","https://openalex.org/W2964350391","https://openalex.org/W2274287116","https://openalex.org/W2897517148"],"abstract_inverted_index":{"Identification":[0],"of":[1,5,25,41,60,68,92,103],"the":[2,23,26,39,46,83,100,104,107],"diffusion":[3,69],"type":[4],"molecules":[6],"in":[7],"living":[8],"cells":[9],"is":[10],"crucial":[11],"to":[12,19,37,63,66,73,113,118],"deduct":[13],"their":[14],"driving":[15],"forces":[16],"and":[17,55,115],"hence":[18],"get":[20],"insight":[21],"into":[22],"characteristics":[24],"cells.":[27],"In":[28],"this":[29],"paper,":[30],"deep":[31],"residual":[32],"networks":[33],"have":[34],"been":[35],"used":[36],"classify":[38],"trajectories":[40],"molecules.":[42],"We":[43,71],"started":[44],"from":[45],"well":[47],"known":[48],"ResNet":[49],"architecture,":[50],"developed":[51],"for":[52],"image":[53],"classification,":[54],"carried":[56],"out":[57],"a":[58,75,79,89],"series":[59],"numerical":[61],"experiments":[62],"adapt":[64],"it":[65],"detection":[67],"modes.":[70],"managed":[72],"find":[74],"model":[76],"that":[77],"has":[78,110],"better":[80,117],"accuracy":[81],"than":[82],"initial":[84],"network,":[85],"but":[86],"contains":[87],"only":[88],"small":[90],"fraction":[91],"its":[93],"parameters.":[94],"The":[95],"reduced":[96],"size":[97],"significantly":[98],"shortened":[99],"training":[101],"time":[102],"model.":[105],"Moreover,":[106],"resulting":[108],"network":[109],"less":[111],"tendency":[112],"overfitting":[114],"generalizes":[116],"unseen":[119],"data.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
