The Metrology of Latent Hierarchy

{"The":[0,62,187,198,464],"Metrology":[1],"of":[2,8,20,25,31,58,70,149,224,312,360,368,379,460],"Latent":[3],"Hierarchy":[4],"—":[5,48,87,151,155,211,249,307,384,394],"a":[6,50,65,68,81,114,169,176,190,202,221,237,333,358,365,411],"paper":[7],"the":[9,18,21,23,26,29,56,59,78,124,141,146,161,166,180,193,196,217,225,233,245,263,268,271,275,279,281,285,301,309,338,343,348,386,395,461,469,475],"Feno":[10,462],"program.":[11,413,463],"Abstract.":[12],"Boethius":[13],"divided":[14],"music":[15,19,24,30,57,213],"into":[16,137],"three:":[17],"spheres,":[22],"body,":[27],"and":[28,49,97,113,144,192,240,250,253,382,427,447],"instruments.":[32],"This":[33],"essay":[34],"reports":[35],"what":[36],"happened":[37],"when":[38],"one":[39,401],"mathematical":[40],"object":[41,63],"was":[42,340,409],"made":[43,294],"to":[44,267,299,317,321],"play":[45],"all":[46,99],"three":[47],"fourth":[51],"he":[52],"did":[53,351],"not":[54,159,352,357],"name,":[55],"body":[60],"politic.":[61],"is":[64,189,195,236,241,356,372,376,398,433,450,467],"multiplicative":[66],"cascade:":[67],"hierarchy":[69,371],"hidden":[71,370],"states,":[72],"slow":[73],"over":[74],"fast,":[75],"each":[76,157],"multiplying":[77],"next,":[79],"with":[80,108,295,332],"property":[82],"most":[83],"beautiful":[84],"ideas":[85],"lack":[86],"an":[88,106,131,377,417],"exact":[89],"likelihood,":[90],"so":[91,232,430],"it":[92,103,350,375,406,435],"can":[93,182,402],"be":[94,183,318],"fitted,":[95],"compared,":[96],"above":[98],"refuted.":[100],"I":[101,122],"built":[102],"first":[104],"as":[105,130,243],"instrument,":[107],"dials":[109],"for":[110,116],"its":[111,118,173,322,437,441],"parameters":[112],"gesture":[115],"holding":[117],"layers":[119],"still.":[120],"Then":[121],"pointed":[123],"same":[125,226,286],"object,":[126],"running":[127],"in":[128,289,474],"reverse":[129],"inference":[132],"engine,":[133],"at":[134,140,145,175,185,385],"matter":[135],"falling":[136],"black":[138],"holes,":[139],"human":[142],"heartbeat,":[143],"recorded":[147],"catastrophes":[148],"civilization":[150],"wars,":[152],"defaults,":[153],"outbreaks":[154],"asking":[156],"time":[158],"\\"does":[160,165],"pattern":[162],"appear?\\"":[163],"but":[164,362],"mechanism":[167,292,302],"survive":[168],"fair":[170],"fight":[171,181],"against":[172],"rivals,":[174],"sample":[177],"size":[178],"where":[179,201,255,262,369,374,383,388],"decided":[184],"all?\\"":[186],"answer":[188,397],"map,":[191],"map":[194],"finding.":[197],"cascade":[199],"wins":[200],"system":[203],"genuinely":[204],"re-occupies":[205],"discrete":[206,218],"regimes":[207],"across":[208],"separated":[209],"timescales":[210],"performed":[212],"(as":[214],"read":[215],"by":[216,452,456],"corpus":[219],"estimator;":[220],"continuous":[222],"re-estimation":[223],"performances":[227],"reads":[228],"several":[229],"times":[230],"lower,":[231],"piano":[234],"rung":[235],"discrete-crosswalk":[238],"value":[239],"quoted":[242],"one),":[244],"multi-state":[246],"X-ray":[247],"binaries":[248],"loses,":[251],"decisively":[252],"instructively,":[254],"dynamics":[256],"are":[257,425,472],"smooth":[258],"or":[259,261,274],"rough,":[260],"apparent":[264],"structure":[265],"belongs":[266],"telescope":[269],"schedule,":[270],"reporting":[272],"baseline,":[273],"statistic":[276],"itself.":[277,477],"Along":[278],"way":[280],"program":[282],"kept":[283],"finding":[284],"buried":[287],"flaw":[288],"four":[290],"literatures:":[291],"claims":[293],"instruments":[296],"whose":[297],"power":[298],"detect":[300],"had":[303],"never":[304],"been":[305],"measured":[306],"including":[308],"field-standard":[310],"test":[311],"multifractality,":[313],"which":[314],"turns":[315,407],"out":[316],"nearly":[319],"blind":[320],"own":[323,438],"canonical":[324],"example.":[325],"Every":[326],"negative":[327],"result":[328],"here":[329],"therefore":[330],"travels":[331],"certificate:":[334],"proof,":[335],"obtained":[336],"before":[337],"data":[339],"read,":[341],"that":[342,399],"instrument":[344],"could":[345],"have":[346],"seen":[347],"thing":[349],"see.":[353],"What":[354],"emerges":[355],"theory":[359],"everything":[361],"something":[363],"rarer:":[364],"calibrated":[366],"account":[367],"real,":[373],"artifact":[378],"our":[380],"instruments,":[381],"boundary":[387],"self-excitation":[389],"becomes":[390],"indistinguishable":[391],"from":[392],"fate":[393],"honest":[396],"no":[400,444],"yet":[403],"tell.":[404],"Boethius,":[405],"out,":[408],"proposing":[410],"research":[412],"It":[414],"just":[415],"needed":[416],"estimator.":[418],"Deposit":[419],"note.":[420],"All":[421],"seven":[422],"Feno-program":[423],"repositories":[424],"private":[426],"remain":[428],"private,":[429],"this":[431],"deposit":[432],"standalone:":[434],"carries":[436],"reproduction":[439,470],"materials,":[440],"metadata":[442],"contains":[443],"repository":[445,457,466],"link,":[446],"sibling":[448],"work":[449],"referenced":[451],"DOI":[453],"rather":[454],"than":[455],"path.":[458],"Part":[459],"source":[465],"private;":[468],"materials":[471],"contained":[473],"record":[476]}