{"id":"W4403810901","doi":"10.48550/arxiv.2409.19195","title":"Word length, bias and bijections in Penney's ante","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Linguistic Variation and Morphology","field":"Social Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bijection, injection and surjection; Word (group theory); Mathematics; Computer science; Combinatorics; Geometry; Bijection","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003913773,0.0003211645,0.0007520696,0.001493986,0.001672699,0.002740783,0.0009204008,0.001027535,0.007566406],"category_scores_gemma":[0.02915263,0.0005045648,0.000505518,0.001234055,0.004143158,0.005822985,0.002163762,0.001816063,0.0008777304],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001280277,"about_ca_system_score_gemma":0.0007088708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004892097,"about_ca_topic_score_gemma":0.0005820983,"domain_scores_codex":[0.9971107,0.001294157,0.0001635887,0.0005822913,0.0005312856,0.0003179018],"domain_scores_gemma":[0.9847723,0.01058124,0.001830451,0.001517642,0.0007984406,0.0004999507],"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":[0.0001079083,0.00003225882,0.002199946,0.00004910644,0.00001391366,0.00008876133,0.0004085212,0.00475798,0.001068405,0.975513,0.0007584151,0.01500189],"study_design_scores_gemma":[0.00002241811,0.00005504878,0.001408049,0.00001995801,0.00001231316,0.0001853108,0.0001454789,0.01623308,0.001056577,0.9782178,0.002618921,0.00002506044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7872705,0.0007019655,0.1563982,0.002198305,0.0001063542,0.0001223929,0.0003689807,0.0002487517,0.05258451],"genre_scores_gemma":[0.9655234,0.0002396055,0.02568488,0.0002462518,0.0000808723,0.0001984186,0.0001530724,0.0001137774,0.007759699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007566406,"threshold_uncertainty_score":0.02531213,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1440642292753557,"score_gpt":0.2475010640946334,"score_spread":0.1034368348192777,"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."}}