{"id":"W1809103853","doi":"10.37236/356","title":"Winning Positions in Simplicial Nim","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Artificial Intelligence in Games","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Prince Edward Island","funders":"","keywords":"Mathematics; Simplicial complex; Generalization; Combinatorics; Abstract simplicial complex; Simplicial approximation theorem; Face (sociological concept); h-vector; Simplicial manifold; Simplicial homology; Simplicial set; Pure mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.001229528,0.00009685754,0.0001567635,0.0001564073,0.0001394601,0.0000969403,0.001538042,0.00006119405,0.000009718811],"category_scores_gemma":[0.0001766744,0.00007119444,0.00008208616,0.0006685772,0.00006905154,0.0004010615,0.0001115305,0.001386227,0.00001520759],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001409165,"about_ca_system_score_gemma":0.0004571331,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001903917,"about_ca_topic_score_gemma":0.00006602833,"domain_scores_codex":[0.9986157,0.00008276317,0.0004062051,0.0001008282,0.0003269438,0.0004675799],"domain_scores_gemma":[0.9989082,0.0002662829,0.0002530166,0.0003235992,0.0001922511,0.00005660216],"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":[0.000006094653,0.00007741559,0.00053024,7.689507e-7,0.000009397221,0.00001016974,0.0005891853,0.0001541153,0.00404038,0.9911581,0.000142178,0.003282014],"study_design_scores_gemma":[0.0001209264,0.0002481711,0.0008004429,0.00001037155,0.000007084941,0.0002322848,0.00007729517,0.003111057,0.0104515,0.9822122,0.002632246,0.00009644446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7479337,0.0004222535,0.2433482,0.005547077,0.001494739,0.00008974226,1.476859e-7,0.00002638852,0.001137643],"genre_scores_gemma":[0.9993913,0.00005704935,0.0001935866,0.0001517302,0.000154097,0.000001495608,6.950629e-8,0.000007535101,0.00004319246],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2514575,"threshold_uncertainty_score":0.6022543,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007879893342489633,"score_gpt":0.2623076644510787,"score_spread":0.2544277711085891,"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."}}