{"id":"https://openalex.org/W7151270415","doi":"https://doi.org/10.48550/arxiv.2604.03791","title":"Acceleration of Moment Bound Optimization for Stochastic Chemical Reactions Using Reaction-wise Sparsity of Moment Equations","display_name":"Acceleration of Moment Bound Optimization for Stochastic Chemical Reactions Using Reaction-wise Sparsity of Moment Equations","publication_year":2026,"publication_date":"2026-04-04","ids":{"openalex":"https://openalex.org/W7151270415","doi":"https://doi.org/10.48550/arxiv.2604.03791"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.03791","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.03791","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.03791","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133122979","display_name":"Tomoki Sadatoshi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sadatoshi, Tomoki","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053811056","display_name":"Antonis Papachristodoulou","orcid":"https://orcid.org/0000-0002-3565-8967"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Papachristodoulou, Antonis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012594690","display_name":"Yutaka Hori","orcid":"https://orcid.org/0000-0002-3253-4985"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hori, Yutaka","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5133122979"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.44040000438690186,"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":0.44040000438690186,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.11240000277757645,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.05180000141263008,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.8234999775886536},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7414000034332275},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.7376999855041504},{"id":"https://openalex.org/keywords/moment-problem","display_name":"Moment problem","score":0.49149999022483826},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.4700999855995178},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4415999948978424},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.43380001187324524},{"id":"https://openalex.org/keywords/second-moment-of-area","display_name":"Second moment of area","score":0.4027000069618225}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8234999775886536},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7414000034332275},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.7376999855041504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6148999929428101},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5206000208854675},{"id":"https://openalex.org/C4285052","wikidata":"https://www.wikidata.org/wiki/Q3406268","display_name":"Moment problem","level":3,"score":0.49149999022483826},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.4700999855995178},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46939998865127563},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4415999948978424},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.4027000069618225},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.39309999346733093},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.38510000705718994},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.3449000120162964},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.3237999975681305},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.313400000333786},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.26759999990463257},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.2671999931335449}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.03791","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.03791","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.03791","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.03791","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Moment":[0,25],"dynamics":[1],"in":[2,77],"stochastic":[3],"chemical":[4],"kinetics":[5],"often":[6],"involve":[7],"an":[8],"infinite":[9],"chain":[10],"of":[11,48,56,61,87,98,108,136],"coupled":[12],"equations,":[13,100],"where":[14,101],"lower-order":[15],"moments":[16,57],"depend":[17],"on":[18,36],"higher-order":[19],"ones,":[20],"making":[21],"them":[22],"analytically":[23],"intractable.":[24],"bounding":[26,80],"via":[27],"semidefinite":[28,49,75,90,121],"programming":[29],"provides":[30],"guaranteed":[31],"upper":[32],"and":[33,114],"lower":[34],"bounds":[35],"stationary":[37,78],"moments.":[38],"However,":[39],"this":[40,65,116],"formulation":[41,131],"suffers":[42],"from":[43],"the":[44,53,59,84,88,95,120,129,133,137],"rapidly":[45],"growing":[46],"size":[47],"constraints":[50,76,122],"due":[51],"to":[52,82,118],"combinatorial":[54],"growth":[55],"with":[58],"number":[60],"molecular":[62],"species.":[63],"In":[64],"paper,":[66],"we":[67,93],"propose":[68],"a":[69,106],"sparsity-exploiting":[70],"matrix":[71],"decomposition":[72],"method":[73],"for":[74],"moment":[79,99],"problems":[81],"reduce":[83],"computational":[85,134],"cost":[86,135],"resulting":[89,130],"programs.":[91],"Specifically,":[92],"characterize":[94],"sparsity":[96],"structure":[97,117],"each":[102],"reaction":[103],"involves":[104],"only":[105],"subset":[107],"variables":[109],"determined":[110],"by":[111],"its":[112],"reactants,":[113],"exploit":[115],"decompose":[119],"into":[123],"smaller":[124],"ones.":[125],"We":[126],"demonstrate":[127],"that":[128],"reduces":[132],"optimization":[138],"problem":[139],"while":[140],"providing":[141],"practically":[142],"useful":[143],"bounds.":[144]},"counts_by_year":[],"updated_date":"2026-04-08T06:07:18.267832","created_date":"2026-04-08T00:00:00"}