{"id":"https://openalex.org/W4417087228","doi":"https://doi.org/10.48550/arxiv.2512.05089","title":"The Blueprints of Intelligence: A Functional-Topological Foundation for Perception and Representation","display_name":"The Blueprints of Intelligence: A Functional-Topological Foundation for Perception and Representation","publication_year":2025,"publication_date":"2025-12-04","ids":{"openalex":"https://openalex.org/W4417087228","doi":"https://doi.org/10.48550/arxiv.2512.05089"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2512.05089","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.05089","pdf_url":"https://arxiv.org/pdf/2512.05089","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2512.05089","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109613184","display_name":"E. Santi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Di Santi, Eduardo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109613184"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.29829999804496765,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.29829999804496765,"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/T10320","display_name":"Neural Networks and Applications","score":0.06120000034570694,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10581","display_name":"Neural dynamics and brain function","score":0.05550000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6891000270843506},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5419999957084656},{"id":"https://openalex.org/keywords/perception","display_name":"Perception","score":0.5012999773025513},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4878999888896942},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.42969998717308044},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.4187999963760376},{"id":"https://openalex.org/keywords/blueprint","display_name":"Blueprint","score":0.41190001368522644}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6891000270843506},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5419999957084656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5223000049591064},{"id":"https://openalex.org/C26760741","wikidata":"https://www.wikidata.org/wiki/Q160402","display_name":"Perception","level":2,"score":0.5012999773025513},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4878999888896942},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.42969998717308044},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.4187999963760376},{"id":"https://openalex.org/C155911762","wikidata":"https://www.wikidata.org/wiki/Q422321","display_name":"Blueprint","level":2,"score":0.41190001368522644},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36910000443458557},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3447999954223633},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33340001106262207},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.32739999890327454},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.3073999881744385},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.29809999465942383},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2928999960422516},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:2512.05089","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.05089","pdf_url":"https://arxiv.org/pdf/2512.05089","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:arXiv.org:2512.05089","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2512.05089","pdf_url":"https://arxiv.org/pdf/2512.05089","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:doi:10.48550/arxiv.2512.05089","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2512.05089","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.05089","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":"pmh:oai:arXiv.org:2512.05089","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.05089","pdf_url":"https://arxiv.org/pdf/2512.05089","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4417087228.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Real-world":[0],"phenomena":[1],"do":[2],"not":[3],"generate":[4],"arbitrary":[5],"variability:":[6],"their":[7],"signals":[8],"concentrate":[9],"on":[10,71],"compact,":[11,149],"low-variability":[12,150],"subsets":[13],"of":[14,36,48,134,152],"functional":[15,177],"space,":[16,51],"enabling":[17],"rapid":[18],"generalisation":[19,79],"from":[20,80],"few":[21,141],"examples.":[22],"We":[23,83],"formalise":[24],"this":[25,85],"principle":[26,166],"through":[27],"a":[28,41,45,49,56,163,180],"deterministic":[29,122,176],"functional-topological":[30],"framework":[31,86,182],"in":[32],"which":[33],"the":[34,127,135],"set":[35],"valid":[37],"realisations":[38],"produced":[39],"by":[40],"physical":[42,169],"process":[43],"forms":[44],"compact":[46,159],"subset":[47],"Banach":[50],"endowed":[52],"with":[53,120],"stable":[54],"invariants,":[55],"finite":[57],"empirical":[58,90,128],"radius,":[59],"and":[60,76,87,109,130,171,174,186],"an":[61],"induced":[62],"continuous":[63],"perceptual":[64,136,160],"functional.":[65],"This":[66],"geometry":[67],"provides":[68],"structural":[69],"constraints":[70],"variability,":[72],"conditions":[73],"for":[74,78,167,183],"identifiability,":[75],"support":[77,175],"sparse":[81],"evidence.":[82],"develop":[84],"examine":[88],"its":[89],"relevance":[91],"across":[92],"five":[93],"real-world":[94],"domains:":[95],"electromechanical":[96],"railway":[97],"point":[98],"machines,":[99],"electrochemical":[100],"battery":[101],"discharge,":[102],"physiological":[103],"ECG":[104],"signals,":[105],"atmospheric":[106],"solar":[107],"irradiance,":[108],"geophysical":[110],"tidal":[111],"cycles.":[112],"Where":[113],"available,":[114],"we":[115],"also":[116],"compare":[117],"real":[118],"data":[119],"corresponding":[121],"simulators.":[123],"Across":[124],"these":[125],"domains,":[126],"radius":[129],"internal":[131],"Hausdorff":[132],"stability":[133],"manifold":[137],"saturate":[138],"after":[139],"surprisingly":[140],"samples,":[142],"indicating":[143],"that":[144,158],"admissible":[145],"signal":[146],"families":[147],"occupy":[148],"regions":[151],"function":[153],"space.":[154],"These":[155],"results":[156],"suggest":[157],"manifolds":[161],"provide":[162],"useful":[164],"organising":[165],"both":[168],"processes":[170],"learned":[172],"representations,":[173],"topology":[178],"as":[179],"promising":[181],"understanding":[184],"perception":[185],"representation.":[187]},"counts_by_year":[],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-12-06T00:00:00"}