{"id":"W2951073467","doi":"10.48550/arxiv.1010.1197","title":"Hamming graphs in Nomura Algebras","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Association scheme; Mathematics; Dual (grammatical number); Type (biology); Scheme (mathematics); Combinatorics; Hamming distance; Hamming code; Hamming graph; Pure mathematics; Discrete mathematics; Algebra over a field; Algorithm; Block code; Linguistics; Philosophy; Decoding methods","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002380577,0.0004182172,0.0005502744,0.0003494002,0.0001068003,0.00006093895,0.0009082016,0.0008000762,0.000184748],"category_scores_gemma":[0.000124383,0.0004706985,0.0002956172,0.0003978945,0.0001247518,0.000127721,0.0009436015,0.001633377,0.00002499272],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001523595,"about_ca_system_score_gemma":0.0001533182,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003784634,"about_ca_topic_score_gemma":0.000433804,"domain_scores_codex":[0.9981681,0.00009157119,0.0003136708,0.0008786467,0.00011288,0.0004351796],"domain_scores_gemma":[0.9981754,0.0002274054,0.0002951089,0.001054273,0.00009728499,0.0001505103],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003635345,0.00007009584,0.002372637,0.0001036471,0.00006146336,0.0001699287,0.0002940303,0.00140346,0.0000234976,0.9951974,0.0001419474,0.000125533],"study_design_scores_gemma":[0.0006417838,0.00001997254,0.0008255691,0.0001067512,0.00008760776,0.000003394391,0.0000946995,0.00435636,0.00009909913,0.9931165,0.0001558949,0.0004923415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9915658,0.00003818807,0.003373228,0.00003390773,0.001821194,0.0003742709,0.000008250554,0.0001514178,0.002633727],"genre_scores_gemma":[0.9984373,0.00005043807,0.0005910544,0.00004121921,0.0001428183,0.000001837264,0.00001006807,0.00005175713,0.000673486],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006871505,"threshold_uncertainty_score":0.9997745,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07987917623459449,"score_gpt":0.2136101191493211,"score_spread":0.1337309429147266,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}