{"id":"https://openalex.org/W2068669036","doi":"https://doi.org/10.1109/bibe.2008.4696725","title":"Adaptive aggregation method for the chemical master equation","display_name":"Adaptive aggregation method for the chemical master equation","publication_year":2008,"publication_date":"2008-10-01","ids":{"openalex":"https://openalex.org/W2068669036","doi":"https://doi.org/10.1109/bibe.2008.4696725","mag":"2068669036"},"language":"en","primary_location":{"id":"doi:10.1109/bibe.2008.4696725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibe.2008.4696725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 8th IEEE International Conference on BioInformatics and BioEngineering","raw_type":"proceedings-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/A5100434265","display_name":"Jingwei Zhang","orcid":"https://orcid.org/0000-0002-2261-7605"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jingwei Zhang","raw_affiliation_strings":["Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0106, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0106, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068161656","display_name":"Layne T. Watson","orcid":"https://orcid.org/0000-0003-2009-107X"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Layne T. Watson","raw_affiliation_strings":["Departments of Computer Science and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","Depts. of Comput. Sci. & Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA"],"affiliations":[{"raw_affiliation_string":"Departments of Computer Science and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Depts. of Comput. Sci. & Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022834433","display_name":"Yang Cao","orcid":"https://orcid.org/0000-0001-9336-3748"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yang Cao","raw_affiliation_strings":["Departments of Computer Science and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","Dept. of Comput. Sci., Virginia Polytech. Inst. & State Univ., Blacksburg, VA"],"affiliations":[{"raw_affiliation_string":"Departments of Computer Science and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Virginia Polytech. Inst. & State Univ., Blacksburg, VA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100434265"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10352424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9952999949455261,"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/computer-science","display_name":"Computer science","score":0.6988745927810669},{"id":"https://openalex.org/keywords/master-equation","display_name":"Master equation","score":0.653407096862793},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.6105688810348511},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5675174593925476},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.554037868976593},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5532016754150391},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47096163034439087},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3870604932308197},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38331055641174316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1875954270362854},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09346997737884521}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6988745927810669},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.653407096862793},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.6105688810348511},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5675174593925476},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.554037868976593},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5532016754150391},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47096163034439087},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3870604932308197},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38331055641174316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1875954270362854},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09346997737884521},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bibe.2008.4696725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibe.2008.4696725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 8th IEEE International Conference on BioInformatics and BioEngineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W11463020","https://openalex.org/W1509581155","https://openalex.org/W1514324734","https://openalex.org/W1520511539","https://openalex.org/W1550478503","https://openalex.org/W2008206597","https://openalex.org/W2019149882","https://openalex.org/W2019247511","https://openalex.org/W2029222199","https://openalex.org/W2062856462","https://openalex.org/W2066594542","https://openalex.org/W2069596643","https://openalex.org/W2085061065","https://openalex.org/W2093179886","https://openalex.org/W2102787760","https://openalex.org/W2106565812","https://openalex.org/W2119571991","https://openalex.org/W2130727150","https://openalex.org/W2134759932","https://openalex.org/W2154590891","https://openalex.org/W2155418451","https://openalex.org/W2484638602","https://openalex.org/W2566232794","https://openalex.org/W2786983038","https://openalex.org/W4255581602","https://openalex.org/W6600468128","https://openalex.org/W6633037839","https://openalex.org/W6680966261"],"related_works":["https://openalex.org/W2073801793","https://openalex.org/W1986260494","https://openalex.org/W2111360083","https://openalex.org/W2088068170","https://openalex.org/W2057610142","https://openalex.org/W2094222390","https://openalex.org/W3105191062","https://openalex.org/W3151157041","https://openalex.org/W2031153334","https://openalex.org/W2023222239"],"abstract_inverted_index":{"The":[0,29,47],"chemical":[1,15],"master":[2],"equation,":[3],"which":[4,38],"is":[5,50],"often":[6],"considered":[7],"as":[8],"an":[9,63],"accurate":[10],"stochastic":[11],"description":[12],"of":[13,36,83,90,93],"general":[14],"systems,":[16],"usually":[17],"imposes":[18],"intensive":[19],"computational":[20],"requirements":[21],"when":[22],"used":[23],"to":[24,51,66],"characterize":[25],"molecular":[26],"biological":[27],"systems.":[28],"major":[30],"challenge":[31],"comes":[32],"from":[33,74],"the":[34,53,68,81,84,88],"curse":[35],"dimensionally,":[37],"has":[39],"been":[40],"tackled":[41],"by":[42],"a":[43],"few":[44],"research":[45],"papers.":[46],"essential":[48],"goal":[49],"aggregate":[52],"system":[54],"efficiently":[55],"with":[56],"limited":[57],"approximation":[58,94],"error.":[59,95],"This":[60],"paper":[61],"presents":[62],"adaptive":[64],"way":[65],"implement":[67],"aggregation":[69],"process":[70],"using":[71],"information":[72],"collected":[73],"Monte":[75],"Carlo":[76],"methods.":[77],"Numerical":[78],"results":[79],"show":[80],"effectiveness":[82],"proposed":[85],"algorithm":[86],"despite":[87],"lack":[89],"explicit":[91],"estimation":[92]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}