{"id":"https://openalex.org/W7131103984","doi":"https://doi.org/10.48550/arxiv.2602.17691","title":"Tethered Reasoning: Decoupling Entropy from Hallucination in Quantized LLMs via Manifold Steering","display_name":"Tethered Reasoning: Decoupling Entropy from Hallucination in Quantized LLMs via Manifold Steering","publication_year":2026,"publication_date":"2026-02-06","ids":{"openalex":"https://openalex.org/W7131103984","doi":"https://doi.org/10.48550/arxiv.2602.17691"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.17691","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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126652648","display_name":"Craig Atkinson","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Atkinson, Craig","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5126652648"],"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/T10181","display_name":"Natural Language Processing Techniques","score":0.10689999908208847,"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"}},"topics":[{"id":"https://openalex.org/T10181","display_name":"Natural Language Processing Techniques","score":0.10689999908208847,"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/T10028","display_name":"Topic Modeling","score":0.10339999943971634,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.08290000259876251,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5759999752044678},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5210999846458435},{"id":"https://openalex.org/keywords/mahalanobis-distance","display_name":"Mahalanobis distance","score":0.42750000953674316},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.42289999127388},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.41110000014305115},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.3984000086784363},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.3865000009536743},{"id":"https://openalex.org/keywords/phrase","display_name":"Phrase","score":0.3573000133037567},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.3357999920845032}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5759999752044678},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5210999846458435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4544999897480011},{"id":"https://openalex.org/C1921717","wikidata":"https://www.wikidata.org/wiki/Q1334846","display_name":"Mahalanobis distance","level":2,"score":0.42750000953674316},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4239000082015991},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.42289999127388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42179998755455017},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.41110000014305115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4027999937534332},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.3984000086784363},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C2776224158","wikidata":"https://www.wikidata.org/wiki/Q187931","display_name":"Phrase","level":2,"score":0.3573000133037567},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3357999920845032},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.30640000104904175},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.3059999942779541},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.3043000102043152},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2935999929904938},{"id":"https://openalex.org/C167981619","wikidata":"https://www.wikidata.org/wiki/Q1685498","display_name":"Cross entropy","level":3,"score":0.29339998960494995},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.29260000586509705},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C130318100","wikidata":"https://www.wikidata.org/wiki/Q2268914","display_name":"Semantic similarity","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27379998564720154},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27000001072883606},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.26579999923706055},{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C90312973","wikidata":"https://www.wikidata.org/wiki/Q7449052","display_name":"Semantic data model","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.17691","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.2602.17691","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.17691","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:doi:10.48550/arxiv.2602.17691","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Quantized":[0],"language":[1],"models":[2],"face":[3],"a":[4,29,43,49,153,191],"fundamental":[5],"dilemma:":[6],"low":[7],"sampling":[8],"temperatures":[9,16],"yield":[10],"repetitive,":[11],"mode-collapsed":[12],"outputs,":[13],"while":[14,78],"high":[15],"(T":[17],"&gt;":[18,160],"2.0)":[19],"cause":[20],"trajectory":[21,67,124],"divergence":[22,125],"and":[23],"semantic":[24,56,128,197],"incoherence.":[25],"We":[26],"present":[27],"HELIX,":[28],"geometric":[30],"framework":[31],"that":[32,119],"decouples":[33],"output":[34],"entropy":[35,57],"from":[36,61,105],"hallucination":[37,121],"by":[38],"tethering":[39,151],"hidden-state":[40],"trajectories":[41],"to":[42,142],"pre-computed":[44],"truthfulness":[45],"manifold.":[46,63],"HELIX":[47,188],"computes":[48],"Unified":[50],"Truth":[51],"Score":[52],"(UTS)":[53],"combining":[54],"token-level":[55],"with":[58,182],"Mahalanobis":[59],"distance":[60],"the":[62,132,146,201],"When":[64],"UTS":[65],"indicates":[66],"divergence,":[68],"graduated":[69],"steering":[70,131],"vectors":[71],"redirect":[72],"activations":[73],"toward":[74],"structurally":[75],"coherent":[76],"regions":[77],"affecting":[79],"only":[80],"0.2-2.5%":[81],"of":[82,138,196],"tokens.":[83],"On":[84],"4-bit":[85],"quantized":[86],"Granite":[87],"4.0":[88],"H":[89],"Small":[90],"(32B/9B":[91],"active,":[92],"hybrid":[93],"Mamba-Transformer):":[94],"GSM8K":[95],"maintains":[96,110],"88.84%":[97],"accuracy":[98],"at":[99,170],"T":[100,106,159],"=":[101,107],"3.0":[102],"(2.81pp":[103],"degradation":[104],"0.5);":[108],"MMLU":[109],"72.49%":[111],"across":[112],"14,042":[113],"questions":[114],"(1.24pp":[115],"degradation).":[116],"This":[117,208],"demonstrates":[118],"high-temperature":[120],"is":[122,140,180],"primarily":[123],"rather":[126],"than":[127,217],"collapse.":[129],"Notably,":[130],"sparse":[133],"Transformer":[134],"attention":[135],"layers":[136],"(~10%":[137],"layers)":[139],"sufficient":[141],"correct":[143],"drift":[144],"in":[145],"Mamba-2":[147],"state-space":[148],"formulation.":[149],"Geometric":[150],"reveals":[152],"previously-masked":[154],"High-Entropy":[155],"Creative":[156],"Reservoir.":[157],"At":[158],"2.0,":[161],"steered":[162],"outputs":[163],"exhibit":[164],"5-20%":[165],"idea":[166],"duplication":[167],"versus":[168],"70-80%":[169],"conservative":[171],"settings.":[172],"Cross-architecture":[173],"validation":[174],"(Qwen3-30B-A3B":[175],"MOE)":[176],"confirms":[177],"this":[178],"phenomenon":[179],"architecture-independent,":[181],"46.7%":[183],"higher":[184],"unique":[185,215],"concept":[186],"generation.":[187],"acts":[189],"as":[190],"syntax":[192],"tether,":[193],"enabling":[194],"exploration":[195],"diversity":[198],"without":[199],"violating":[200],"logical":[202],"backbone":[203],"required":[204],"for":[205],"valid":[206],"output.":[207],"enables":[209],"Multi-Temperature":[210],"Synthesis,":[211],"generating":[212],"200%":[213],"more":[214],"concepts":[216],"single-temperature":[218],"inference.":[219]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-24T00:00:00"}
