{"id":"https://openalex.org/W2123316505","doi":"https://doi.org/10.1162/neco.2009.08-08-843","title":"Maximally Reliable Markov Chains Under Energy Constraints","display_name":"Maximally Reliable Markov Chains Under Energy Constraints","publication_year":2009,"publication_date":"2009-03-17","ids":{"openalex":"https://openalex.org/W2123316505","doi":"https://doi.org/10.1162/neco.2009.08-08-843","mag":"2123316505","pmid":"https://pubmed.ncbi.nlm.nih.gov/19292647"},"language":"en","primary_location":{"id":"doi:10.1162/neco.2009.08-08-843","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2009.08-08-843","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5020984279","display_name":"G. Sean Escola","orcid":"https://orcid.org/0000-0003-0645-1964"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sean Escola","raw_affiliation_strings":["Center for Theoretical Neuroscience and M.D./Ph.D. Program, Columbia University, New York, NY 10032, U.S.A","Center for Theoretical Neuroscience and M.D./Ph.D. Program, Columbia#N# University, New York, NY 10032, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Theoretical Neuroscience and M.D./Ph.D. Program, Columbia University, New York, NY 10032, U.S.A","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Center for Theoretical Neuroscience and M.D./Ph.D. Program, Columbia#N# University, New York, NY 10032, U.S.A","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055293685","display_name":"Michael Eisele","orcid":null},"institutions":[{"id":"https://openalex.org/I3019243323","display_name":"Center for Theoretical Physics","ror":"https://ror.org/04kfyt897","country_code":"PL","type":"facility","lineage":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"Michael Eisele","raw_affiliation_strings":["Center for Theoretical Neuroscience, Columbia University, New York, NY 10032, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Theoretical Neuroscience, Columbia University, New York, NY 10032, U.S.A","institution_ids":["https://openalex.org/I3019243323","https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082132955","display_name":"Kenneth D. Miller","orcid":"https://orcid.org/0000-0002-1433-0647"},"institutions":[{"id":"https://openalex.org/I3019243323","display_name":"Center for Theoretical Physics","ror":"https://ror.org/04kfyt897","country_code":"PL","type":"facility","lineage":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"Kenneth Miller","raw_affiliation_strings":["Center for Theoretical Neuroscience, Columbia University, New York, NY 10032, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Theoretical Neuroscience, Columbia University, New York, NY 10032, U.S.A","institution_ids":["https://openalex.org/I3019243323","https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023278055","display_name":"Liam Paninski","orcid":"https://orcid.org/0000-0002-0276-7032"},"institutions":[{"id":"https://openalex.org/I3019243323","display_name":"Center for Theoretical Physics","ror":"https://ror.org/04kfyt897","country_code":"PL","type":"facility","lineage":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"Liam Paninski","raw_affiliation_strings":["Center for Theoretical Neuroscience and Department of Statistics, Columbia University, New York, NY 10032, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Theoretical Neuroscience and Department of Statistics, Columbia University, New York, NY 10032, U.S.A","institution_ids":["https://openalex.org/I78577930","https://openalex.org/I3019243323"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020984279"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":0.1365,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.55910515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"21","issue":"7","first_page":"1863","last_page":"1912"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9926000237464905,"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":0.9926000237464905,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9713000059127808,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13283","display_name":"Mental Health Research Topics","score":0.9120000004768372,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7882754802703857},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.6245610117912292},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5572705864906311},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5532823204994202},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5303683280944824},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.5206988453865051},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5139533877372742},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.4664689004421234},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.4474228024482727},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4437529444694519},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42010533809661865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3857637345790863},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3315926194190979},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2059844732284546},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15656021237373352},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13358500599861145},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08078575134277344}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7882754802703857},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.6245610117912292},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5572705864906311},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5532823204994202},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5303683280944824},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.5206988453865051},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5139533877372742},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4664689004421234},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.4474228024482727},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4437529444694519},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42010533809661865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3857637345790863},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3315926194190979},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2059844732284546},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15656021237373352},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13358500599861145},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08078575134277344},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004734","descriptor_name":"Energy Metabolism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D004734","descriptor_name":"Energy Metabolism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D004734","descriptor_name":"Energy Metabolism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D004734","descriptor_name":"Energy Metabolism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1162/neco.2009.08-08-843","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2009.08-08-843","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:19292647","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19292647","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":"Neural computation","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.421.9248","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.421.9248","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stat.columbia.edu/~liam/research/pubs/escola-markov-reliability.pdf","raw_type":"text"},{"id":"pmh:oai:europepmc.org:2176530","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3170776","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W250062009","https://openalex.org/W1485732691","https://openalex.org/W1503817470","https://openalex.org/W1529181380","https://openalex.org/W1965399019","https://openalex.org/W1973569897","https://openalex.org/W1974511160","https://openalex.org/W1981995076","https://openalex.org/W1986549408","https://openalex.org/W1988878611","https://openalex.org/W2003302378","https://openalex.org/W2012493789","https://openalex.org/W2019306960","https://openalex.org/W2020705596","https://openalex.org/W2039323873","https://openalex.org/W2060694206","https://openalex.org/W2065400692","https://openalex.org/W2093475470","https://openalex.org/W2094438648","https://openalex.org/W2104803391","https://openalex.org/W2110242299","https://openalex.org/W2118664588","https://openalex.org/W2135046866","https://openalex.org/W2142083285","https://openalex.org/W2178218908","https://openalex.org/W2588834715","https://openalex.org/W2801179766","https://openalex.org/W3148499377","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W1971748923","https://openalex.org/W2060986072","https://openalex.org/W1566155057","https://openalex.org/W3110732990","https://openalex.org/W3120641340","https://openalex.org/W2379651310","https://openalex.org/W1541249122","https://openalex.org/W2113019827","https://openalex.org/W2367222340"],"abstract_inverted_index":{"Signal-to-noise":[0],"ratios":[1],"in":[2,106],"physical":[3,133,234],"systems":[4,14],"can":[5],"be":[6,50,166],"significantly":[7],"degraded":[8],"if":[9,74,77],"the":[10,13,55,78,84,101,116,126,129,150,156,173,179,186,206,218,224,248,254,258,263],"outputs":[11],"of":[12,57,100,118,128,152,158,175,220,226,250,262],"are":[15,26,208],"highly":[16,22],"variable.":[17],"Biological":[18],"processes":[19],"for":[20,236],"which":[21,164,237],"stereotyped":[23],"signal":[24,34,59,103,238],"generations":[25],"necessary":[27],"features":[28],"appear":[29],"to":[30,123],"have":[31],"reduced":[32],"their":[33],"variabilities":[35],"by":[36,61,114,223,257],"employing":[37],"multiple":[38],"processing":[39],"steps.":[40],"To":[41,171],"better":[42],"understand":[43],"why":[44],"this":[45,146],"multistep":[46],"cascade":[47],"structure":[48],"might":[49],"desirable,":[51],"we":[52,183],"prove":[53],"that":[54,83,96,113,193,232],"reliability":[56,127,239],"a":[58,62,69,132,233,244],"generated":[60,105],"multistate":[63],"system":[64,79,235],"with":[65,91,141,149,214,247],"no":[66],"memory":[67],"(i.e.,":[68,155],"Markov":[70],"chain)":[71],"is":[72,81,104,121,139,169,240],"maximal":[73],"and":[75,145],"only":[76],"topology":[80,187],"such":[82,95,153],"process":[85],"steps":[86],"irreversibly":[87],"through":[88],"each":[89,107],"state,":[90],"transition":[92],"rates":[93],"chosen":[94],"an":[97,136,161],"equal":[98],"fraction":[99],"total":[102],"state.":[108],"Furthermore,":[109],"our":[110],"result":[111],"indicates":[112],"increasing":[115],"number":[117,151,157,219,249],"states,":[119,201],"it":[120],"possible":[122],"arbitrarily":[124],"increase":[125],"system.":[130,264],"In":[131,203],"system,":[134],"however,":[135],"energy":[137,176,191,260],"cost":[138,147],"associated":[140],"maintaining":[142],"irreversible":[143,196,210],"transitions,":[144],"increases":[148],"transitions":[154,197],"states).":[159],"Thus,":[160],"infinite-length":[162],"chain,":[163],"would":[165],"perfectly":[167],"reliable,":[168],"infeasible.":[170],"model":[172],"effects":[174],"demands":[177],"on":[178,217],"maximally":[180],"reliable":[181],"solution,":[182],"numerically":[184],"optimize":[185],"under":[188],"two":[189],"distinct":[190],"functions":[192],"penalize":[194],"either":[195],"or":[198],"incommunicability":[199],"between":[200],"respectively.":[202],"both":[204],"cases,":[205],"solutions":[207],"essentially":[209],"linear":[211,245],"chains,":[212],"but":[213],"upper":[215],"bounds":[216],"states":[221,251],"set":[222],"amount":[225],"available":[227],"energy.":[228],"We":[229],"therefore":[230],"conclude":[231],"important":[241],"should":[242],"employ":[243],"architecture,":[246],"(and":[252],"thus":[253],"reliability)":[255],"determined":[256],"intrinsic":[259],"constraints":[261]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
