{"id":"https://openalex.org/W7221761007","doi":"https://doi.org/10.5281/zenodo.23358456","title":"Solomonoff Induction, Nicod's Criterion, and Universal Power-Law Tails \u2014 E8 Intelligence Research","display_name":"Solomonoff Induction, Nicod's Criterion, and Universal Power-Law Tails \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-10-14","ids":{"openalex":"https://openalex.org/W7221761007","doi":"https://doi.org/10.5281/zenodo.23358456"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23358456","doi":"https://doi.org/10.5281/zenodo.23358456","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23358456","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23358456","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153285007","display_name":"Andrew Stewart Caldin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Caldin, Andrew Stewart","raw_affiliation_strings":["Independent Researcher, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher, United Kingdom","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5153285007"],"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9965999722480774,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9965999722480774,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/solomonoff-induction","display_name":"Solomonoff induction","score":0.9990000128746033},{"id":"https://openalex.org/keywords/universal-prior","display_name":"universal prior","score":0.777999997138977},{"id":"https://openalex.org/keywords/halting-probability","display_name":"halting probability","score":0.7829999923706055},{"id":"https://openalex.org/keywords/power-law-tails","display_name":"power-law tails","score":0.9150000214576721},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.6809999942779541},{"id":"https://openalex.org/keywords/self-similarity","display_name":"self-similarity","score":0.9129999876022339},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"scale invariance","score":0.859000027179718},{"id":"https://openalex.org/keywords/covid-19-case-counts","display_name":"COVID-19 case counts","score":0.8980000019073486},{"id":"https://openalex.org/keywords/temporal-correlation","display_name":"temporal correlation","score":0.7639999985694885},{"id":"https://openalex.org/keywords/kraft-inequality","display_name":"Kraft inequality","score":0.5809999704360962},{"id":"https://openalex.org/keywords/normal-numbers","display_name":"normal numbers","score":0.49399998784065247}],"concepts":[{"id":"https://openalex.org/C137343475","wikidata":"https://www.wikidata.org/wiki/Q622849","display_name":"Halting problem","level":4,"score":0.4966999888420105},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4925000071525574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47760000824928284},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4422000050544739},{"id":"https://openalex.org/C2779341405","wikidata":"https://www.wikidata.org/wiki/Q1456811","display_name":"Kolmogorov complexity","level":2,"score":0.4025999903678894},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3666999936103821},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.328000009059906},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3262999951839447},{"id":"https://openalex.org/C43596424","wikidata":"https://www.wikidata.org/wiki/Q98124957","display_name":"Probability and statistics","level":2,"score":0.31060001254081726},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2809999883174896},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.27639999985694885},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2703999876976013},{"id":"https://openalex.org/C2909458119","wikidata":"https://www.wikidata.org/wiki/Q5194","display_name":"Tardigrada","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C75455068","wikidata":"https://www.wikidata.org/wiki/Q1455566","display_name":"Frequentist probability","level":3,"score":0.267300009727478},{"id":"https://openalex.org/C39947850","wikidata":"https://www.wikidata.org/wiki/Q729523","display_name":"Geometric distribution","level":3,"score":0.2651999890804291},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.257099986076355},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23358456","doi":"https://doi.org/10.5281/zenodo.23358456","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23358456","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},{"id":"doi:10.5281/zenodo.23358457","doi":"https://doi.org/10.5281/zenodo.23358457","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23358457","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23358456","doi":"https://doi.org/10.5281/zenodo.23358456","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23358456","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"FINDING:":[0],"Solomonoff":[1,31],"induction's":[2],"prior":[3,11,32,107],"is":[4,56,96],"a":[5,9,57,110],"computable":[6],"measure":[7],"with":[8,68,85,113],"geometric/universal":[10],"distribution,":[12],"but":[13,118],"it":[14],"violates":[15],"Nicod's":[16],"criterion;":[17],"power-law":[18,61,121],"tails":[19,122],"appear":[20],"universally":[21],"in":[22],"time":[23],"correlations":[24],"and":[25],"COVID-19":[26,77],"case":[27],"counts.":[28],"|":[29,90],"MATH:":[30],"\\(":[33,63,80],"M(x)":[34,44],"=":[35,50,70],"\\sum_{p:":[36,51],"U(p)=x}":[37],"2^{-\\ell(p)}":[38],"\\)":[39,67,84],"(Kraft":[40],"inequality":[41],"ensures":[42],"\\(\\sum_x":[43],"\\le":[45],"1\\));":[46],"halting":[47,132],"probability":[48,133],"\\(\\Omega":[49],"U(p)":[52],"\\text{":[53],"halts}}":[54],"2^{-\\ell(p)}\\)":[55],"normal":[58],"number":[59],"(Chaitin);":[60],"tail":[62],"C(t)":[64],"\\sim":[65],"t^{-\\alpha}":[66],"\\(\\alpha":[69],"d/2\\)":[71],"for":[72],"hydrodynamic":[73],"modes":[74],"(long-time":[75],"tails);":[76],"confirmed":[78],"cases":[79],"N(t)":[81],"\\propto":[82],"t^{-\\beta}":[83],"\\(\\beta":[86],"\\approx":[87],"1.5\\)":[88],"(empirical).":[89],"CONNECTION:":[91],"The":[92,131],"geometric":[93,111],"distribution":[94],"\\(2^{-\\ell(p)}\\)":[95],"the":[97,101,106,119,127,144],"discrete":[98],"analogue":[99],"of":[100,143],"golden":[102,128],"ratio's":[103,129],"self-similarity":[104],"\u2014":[105],"weights":[108],"form":[109],"series":[112],"ratio":[114],"\\(1/2\\),":[115],"not":[116],"\\(1/\\phi\\),":[117],"*universal*":[120],"\\(t^{-\\alpha}\\)":[123],"are":[124],"scale-invariant,":[125],"echoing":[126],"self-similarity.":[130],"\\(\\Omeg":[134],"Author:":[135],"Andrew":[136],"Stewart":[137],"Caldin,":[138],"Independent":[139],"Researcher,":[140],"UK.":[141],"Part":[142],"E8":[145],"Intelligence":[146],"Research":[147],"series.":[148],"Platform:":[149],"e8intelligence.com":[150]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2026-10-15T00:00:00"}