{"id":"https://openalex.org/W4292995128","doi":"https://doi.org/10.1007/s41965-022-00103-8","title":"An improved deep echo state network inspired by tissue-like P system forecasting for non-stationary time series","display_name":"An improved deep echo state network inspired by tissue-like P system forecasting for non-stationary time series","publication_year":2022,"publication_date":"2022-08-24","ids":{"openalex":"https://openalex.org/W4292995128","doi":"https://doi.org/10.1007/s41965-022-00103-8"},"language":"en","primary_location":{"id":"doi:10.1007/s41965-022-00103-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41965-022-00103-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41965-022-00103-8.pdf","source":{"id":"https://openalex.org/S4210203510","display_name":"Journal of Membrane Computing","issn_l":"2523-8906","issn":["2523-8906","2523-8914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Membrane Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s41965-022-00103-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100947460","display_name":"Xiaojian Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaojian Yang","raw_affiliation_strings":["Academy of Management Science, Shandong Normal University, Jinan, China","Business school, Shandong Normal University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"Academy of Management Science, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]},{"raw_affiliation_string":"Business school, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318534","display_name":"Qian Liu","orcid":"https://orcid.org/0000-0001-9358-9464"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Liu","raw_affiliation_strings":["Academy of Management Science, Shandong Normal University, Jinan, China","Business school, Shandong Normal University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"Academy of Management Science, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]},{"raw_affiliation_string":"Business school, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101675341","display_name":"Xiyu Liu","orcid":"https://orcid.org/0000-0002-4535-916X"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiyu Liu","raw_affiliation_strings":["Academy of Management Science, Shandong Normal University, Jinan, China","Business school, Shandong Normal University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"Academy of Management Science, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]},{"raw_affiliation_string":"Business school, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019057211","display_name":"Jie Xue","orcid":"https://orcid.org/0000-0002-2999-1181"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Xue","raw_affiliation_strings":["Academy of Management Science, Shandong Normal University, Jinan, China","Business school, Shandong Normal University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"Academy of Management Science, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]},{"raw_affiliation_string":"Business school, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100947460"],"corresponding_institution_ids":["https://openalex.org/I28006308"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9717,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79720778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"4","issue":"3","first_page":"222","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998000264167786,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998000264167786,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9952999949455261,"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/echo-state-network","display_name":"Echo state network","score":0.9200336337089539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7221463918685913},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6561891436576843},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.6346087455749512},{"id":"https://openalex.org/keywords/collinearity","display_name":"Collinearity","score":0.6128424406051636},{"id":"https://openalex.org/keywords/echo","display_name":"Echo (communications protocol)","score":0.6111506223678589},{"id":"https://openalex.org/keywords/reservoir-computing","display_name":"Reservoir computing","score":0.5853421092033386},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5672613382339478},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4955514669418335},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4758586287498474},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.46923285722732544},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.466043621301651},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.43635955452919006},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43335163593292236},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4135444760322571},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.37268131971359253},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3282238245010376},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26321858167648315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10499346256256104},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.06870213150978088}],"concepts":[{"id":"https://openalex.org/C172025690","wikidata":"https://www.wikidata.org/wiki/Q5332763","display_name":"Echo state network","level":4,"score":0.9200336337089539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7221463918685913},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6561891436576843},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.6346087455749512},{"id":"https://openalex.org/C106192678","wikidata":"https://www.wikidata.org/wiki/Q1419761","display_name":"Collinearity","level":2,"score":0.6128424406051636},{"id":"https://openalex.org/C2779426996","wikidata":"https://www.wikidata.org/wiki/Q18389128","display_name":"Echo (communications protocol)","level":2,"score":0.6111506223678589},{"id":"https://openalex.org/C135796866","wikidata":"https://www.wikidata.org/wiki/Q7315328","display_name":"Reservoir computing","level":4,"score":0.5853421092033386},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5672613382339478},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4955514669418335},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4758586287498474},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.46923285722732544},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.466043621301651},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.43635955452919006},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43335163593292236},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4135444760322571},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.37268131971359253},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3282238245010376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26321858167648315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10499346256256104},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.06870213150978088},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s41965-022-00103-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41965-022-00103-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41965-022-00103-8.pdf","source":{"id":"https://openalex.org/S4210203510","display_name":"Journal of Membrane Computing","issn_l":"2523-8906","issn":["2523-8906","2523-8914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Membrane Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s41965-022-00103-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41965-022-00103-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41965-022-00103-8.pdf","source":{"id":"https://openalex.org/S4210203510","display_name":"Journal of Membrane Computing","issn_l":"2523-8906","issn":["2523-8906","2523-8914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Membrane Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2099092557","display_name":null,"funder_award_id":"61802234, 61806114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2281442480","display_name":null,"funder_award_id":"16BGLJ06","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2648532540","display_name":null,"funder_award_id":"61802234","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2927531677","display_name":null,"funder_award_id":"2017M612339","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3297791007","display_name":null,"funder_award_id":"ZR2019QF007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G330906752","display_name":null,"funder_award_id":"62172226","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3744313044","display_name":null,"funder_award_id":"Social","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3990354494","display_name":null,"funder_award_id":"61806114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4829427089","display_name":null,"funder_award_id":"2019T120607","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5115414588","display_name":null,"funder_award_id":"2018M642695","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5475301337","display_name":null,"funder_award_id":"18022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5833076778","display_name":null,"funder_award_id":"61876101, 61802234, 61806114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7089229516","display_name":null,"funder_award_id":"19YJCZH244","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7617251105","display_name":null,"funder_award_id":"11CGLJ22","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7884740843","display_name":null,"funder_award_id":"61876101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4292995128.pdf","grobid_xml":"https://content.openalex.org/works/W4292995128.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1501306604","https://openalex.org/W1964357740","https://openalex.org/W1982201779","https://openalex.org/W2012743186","https://openalex.org/W2016210396","https://openalex.org/W2039617089","https://openalex.org/W2065714916","https://openalex.org/W2112796928","https://openalex.org/W2124349412","https://openalex.org/W2125370892","https://openalex.org/W2158708642","https://openalex.org/W2171865010","https://openalex.org/W2280154071","https://openalex.org/W2588792232","https://openalex.org/W2749503200","https://openalex.org/W2895590982","https://openalex.org/W2896288162","https://openalex.org/W2968783565","https://openalex.org/W3005867584","https://openalex.org/W3007066689","https://openalex.org/W3010414753","https://openalex.org/W3040775906","https://openalex.org/W3041728412","https://openalex.org/W3041809689","https://openalex.org/W3046711798","https://openalex.org/W3088701746","https://openalex.org/W3119316801","https://openalex.org/W3120452822","https://openalex.org/W3130023820","https://openalex.org/W3133618741","https://openalex.org/W3138187194","https://openalex.org/W3138970751","https://openalex.org/W3161700070","https://openalex.org/W4220723809","https://openalex.org/W4236400424","https://openalex.org/W4385578866"],"related_works":["https://openalex.org/W57315087","https://openalex.org/W2010974764","https://openalex.org/W4386848428","https://openalex.org/W4205631599","https://openalex.org/W2021379535","https://openalex.org/W2020067398","https://openalex.org/W2967225774","https://openalex.org/W2903992663","https://openalex.org/W4237814686","https://openalex.org/W2997427060"],"abstract_inverted_index":{"Abstract":[0],"As":[1],"a":[2],"recurrent":[3],"neural":[4,88],"network,":[5],"ESN":[6,33,57],"has":[7,22,35,120],"attracted":[8],"wide":[9],"attention":[10],"because":[11],"of":[12,42,55,66,69,74],"its":[13],"simple":[14],"training":[15],"process":[16],"and":[17,21,29,44,53,87,105,128],"unique":[18],"reservoir":[19,43],"structure,":[20],"been":[23],"applied":[24],"to":[25,49,90],"time":[26],"series":[27],"prediction":[28],"other":[30,108],"fields.":[31],"However,":[32,62],"also":[34,78],"some":[36],"shortcomings,":[37],"such":[38],"as":[39],"the":[40,51,64,67,72,114],"optimization":[41],"collinearity.":[45],"Many":[46],"researchers":[47],"try":[48],"optimize":[50],"structure":[52],"performance":[54],"deep":[56,60,94],"by":[58,99],"constructing":[59],"ESN.":[61],"with":[63,107],"increase":[65],"number":[68],"network":[70,89,97],"layers,":[71],"problem":[73],"low":[75],"computing":[76,86],"efficiency":[77],"follows.":[79],"In":[80],"this":[81,118],"paper,":[82],"we":[83,111],"combined":[84],"membrane":[85],"build":[91],"an":[92],"improved":[93],"echo":[95],"state":[96],"inspired":[98],"tissue-like":[100],"P":[101],"system.":[102],"Through":[103],"analysis":[104],"comparison":[106],"classical":[109],"models,":[110],"found":[112],"that":[113],"model":[115],"proposed":[116],"in":[117,125],"paper":[119],"achieved":[121],"great":[122],"success":[123],"both":[124],"predicting":[126],"accuracy":[127],"operation":[129],"efficiency.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
