{"id":"W4402705719","doi":"10.48550/arxiv.2408.15390","title":"Avoiding abelian and additive powers in rich words","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Natural Language Processing Techniques","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Abelian group; Mathematics; Pure mathematics; Arithmetic; Linguistics; Philosophy","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":[0.001017384,0.0006810825,0.0007361934,0.001214265,0.001778774,0.002529289,0.0008143566,0.0007806568,0.005993093],"category_scores_gemma":[0.004158732,0.0006550945,0.001346568,0.0006778819,0.003717694,0.006718852,0.003819259,0.002087319,0.001304772],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000665155,"about_ca_system_score_gemma":0.0003708669,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004270994,"about_ca_topic_score_gemma":0.0005584068,"domain_scores_codex":[0.9981863,0.0004787274,0.0001798494,0.0003382135,0.0004632176,0.0003537099],"domain_scores_gemma":[0.9962426,0.002203979,0.0003591979,0.0005512921,0.0003670489,0.0002758168],"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":[0.0001536729,0.00002704261,0.0005914911,0.0001035033,0.00001903179,0.0006236351,0.0009789901,0.002127664,0.006133495,0.9794716,0.0004825414,0.009287251],"study_design_scores_gemma":[0.00002297189,0.00006190652,0.0002357444,0.00002813161,0.00003402711,0.0005001736,0.0002666188,0.005419923,0.006579826,0.980793,0.006027157,0.00003057935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.624922,0.0005639873,0.3144889,0.0007448926,0.0001587833,0.00006486475,0.000206046,0.0006403333,0.05821028],"genre_scores_gemma":[0.9505185,0.0002220474,0.0314119,0.0002306732,0.0001600321,0.00009038168,0.0002412158,0.0003084208,0.01681685],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005993093,"threshold_uncertainty_score":0.02004892,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03087361768892987,"score_gpt":0.2025051067223804,"score_spread":0.1716314890334505,"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."}}