{"id":"https://openalex.org/W2725496422","doi":"https://doi.org/10.1109/ccta.2017.8062585","title":"Robust moment closure method for the chemical master equation","display_name":"Robust moment closure method for the chemical master equation","publication_year":2017,"publication_date":"2017-08-01","ids":{"openalex":"https://openalex.org/W2725496422","doi":"https://doi.org/10.1109/ccta.2017.8062585","mag":"2725496422"},"language":"en","primary_location":{"id":"doi:10.1109/ccta.2017.8062585","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta.2017.8062585","pdf_url":null,"source":{"id":"https://openalex.org/S4306498159","display_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.00178","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068594775","display_name":"Mohammad Naghnaeian","orcid":"https://orcid.org/0000-0002-2136-4239"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohammad Naghnaeian","raw_affiliation_strings":["Mechanical Engineering Department, Massachusetts Institute of Technology, Cambridge, MA, USA","Mechanical Engineering Department, Massachusetts Institute of Technology , Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Mechanical Engineering Department, Massachusetts Institute of Technology , Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036095256","display_name":"Domitilla Del Vecchio","orcid":"https://orcid.org/0000-0001-6472-8576"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Domitilla Del Vecchio","raw_affiliation_strings":["Mechanical Engineering Department, Massachusetts Institute of Technology, Cambridge, MA, USA","Mechanical Engineering Department, Massachusetts Institute of Technology , Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Mechanical Engineering Department, Massachusetts Institute of Technology , Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068594775"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07321773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":null,"first_page":"967","last_page":"972"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":1.0,"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":1.0,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9958999752998352,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9896000027656555,"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/moment","display_name":"Moment (physics)","score":0.70567387342453},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6924070119857788},{"id":"https://openalex.org/keywords/moment-closure","display_name":"Moment closure","score":0.6909089088439941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6363963484764099},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5548748970031738},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5415262579917908},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5374100804328918},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5127161741256714},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.47736239433288574},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42240482568740845},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17296364903450012},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10376164317131042}],"concepts":[{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.70567387342453},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6924070119857788},{"id":"https://openalex.org/C2778513689","wikidata":"https://www.wikidata.org/wiki/Q6897109","display_name":"Moment closure","level":3,"score":0.6909089088439941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6363963484764099},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5548748970031738},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5415262579917908},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5374100804328918},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5127161741256714},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.47736239433288574},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42240482568740845},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17296364903450012},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10376164317131042},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/ccta.2017.8062585","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta.2017.8062585","pdf_url":null,"source":{"id":"https://openalex.org/S4306498159","display_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1707.00178","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.00178","pdf_url":"https://arxiv.org/pdf/1707.00178","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2725496422","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1707.00178.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dspace.mit.edu:1721.1/119165","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/119165","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv","raw_type":"http://purl.org/eprint/type/ConferencePaper"},{"id":"doi:10.48550/arxiv.1707.00178","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.00178","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.00178","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.00178","pdf_url":"https://arxiv.org/pdf/1707.00178","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2725496422.pdf","grobid_xml":"https://content.openalex.org/works/W2725496422.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1569416853","https://openalex.org/W1976443948","https://openalex.org/W1988791304","https://openalex.org/W1996860993","https://openalex.org/W2042321087","https://openalex.org/W2055332498","https://openalex.org/W2059268258","https://openalex.org/W2063104705","https://openalex.org/W2080739873","https://openalex.org/W2085061065","https://openalex.org/W2102787760","https://openalex.org/W2150055571","https://openalex.org/W2155202381","https://openalex.org/W2169987437","https://openalex.org/W2186962916","https://openalex.org/W2903845856","https://openalex.org/W3142300713","https://openalex.org/W4301008129"],"related_works":["https://openalex.org/W2963983674","https://openalex.org/W1603108616","https://openalex.org/W2913932550","https://openalex.org/W3105630579","https://openalex.org/W2767301381","https://openalex.org/W2170698268","https://openalex.org/W2785644981","https://openalex.org/W1811679391","https://openalex.org/W146609368","https://openalex.org/W2765667619","https://openalex.org/W2136568483","https://openalex.org/W1977761714","https://openalex.org/W2265756551","https://openalex.org/W3105781234","https://openalex.org/W2952823412","https://openalex.org/W2740614908","https://openalex.org/W2099418739","https://openalex.org/W2952307578","https://openalex.org/W2329499656","https://openalex.org/W2973093530"],"abstract_inverted_index":{"The":[0,17],"Chemical":[1],"Master":[2],"Equation":[3],"(CME)":[4],"is":[5,32,42,122,140],"used":[6,179],"to":[7,92,147,180],"stochastically":[8],"model":[9],"biochemical":[10,192],"reaction":[11],"networks,":[12],"under":[13,194],"the":[14,23,27,39,46,49,55,75,86,96,109,119,127,131,144,156,161,167,182,187,191],"Markovian":[15],"assumption.":[16],"low-order":[18,157,183],"statistical":[19],"moments":[20,40,52,78,184],"induced":[21,168],"by":[22,81],"CME":[24],"are":[25,79,106],"often":[26],"key":[28],"quantities":[29],"that":[30,48,104,154],"one":[31],"interested":[33],"in.":[34],"However,":[35],"in":[36,45,73,108,112,164],"most":[37],"cases,":[38],"equation":[41],"not":[43],"closed;":[44],"sense":[47],"first":[50],"n":[51],"depend":[53],"on":[54,118],"higher":[56,76],"order":[57,77,88],"moments,":[58],"for":[59],"any":[60],"positive":[61],"integer":[62],"n.":[63],"In":[64],"this":[65],"paper,":[66],"we":[67,125],"develop":[68],"a":[69,115,136,149],"moment":[70],"closure":[71],"technique":[72],"which":[74,113,139],"approximated":[80],"an":[82],"affine":[83,97,133,145],"function":[84],"of":[85,129,166,170,190],"lower":[87],"moments.":[89,158],"We":[90,142,159],"refer":[91],"such":[93],"functions":[94],"as":[95,135],"Moment":[98],"Closure":[99],"Functions":[100],"(MCF)":[101],"and":[102,185],"prove":[103],"they":[105],"optimal":[107,132],"worst-case":[110],"context,":[111],"no":[114],"priori":[116],"information":[117],"probability":[120],"distribution":[121],"available.":[123],"Furthermore,":[124],"cast":[126],"problem":[128],"finding":[130],"MCF":[134],"linear":[137,152,172],"program,":[138],"tractable.":[141],"utilize":[143],"MCFs":[146],"derive":[148],"finite":[150],"dimensional":[151],"system":[153],"approximates":[155],"quantify":[160],"approximation":[162],"error":[163],"terms":[165],"norm":[169],"some":[171],"system.":[173],"Our":[174],"results":[175],"can":[176],"be":[177],"effectively":[178],"approximate":[181],"characterize":[186],"noise":[188],"properties":[189],"network":[193],"study.":[195]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
