{"id":"W2107671423","doi":"10.1515/integers-2012-0006","title":"Approximations of Additive Squares in Infinite Words","year":2012,"lang":"en","type":"article","venue":"Integers","topic":"semigroups and automata theory","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Word (group theory); Least-squares function approximation; Algebra over a field; Applied mathematics; Pure mathematics; Statistics; Geometry","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":[0.0002354153,0.00005802868,0.00008968049,0.0001343314,0.00001582205,0.00001594977,0.0003078535,0.00002952549,0.00004234585],"category_scores_gemma":[0.00007975861,0.0000508566,0.00003394682,0.0003230093,0.00004734403,0.000472343,0.00007801822,0.00007755665,0.00004017757],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002209351,"about_ca_system_score_gemma":0.00001919217,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003572195,"about_ca_topic_score_gemma":0.000005711994,"domain_scores_codex":[0.9994735,0.00004157501,0.0001302367,0.00008816469,0.0001000169,0.0001665752],"domain_scores_gemma":[0.9994872,0.0001789882,0.00005609924,0.0002146713,0.00002397105,0.00003909702],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.000007177868,0.0002037546,0.005544418,0.00001948385,0.00001928975,0.000003106356,0.01969793,0.00007450692,0.001182146,0.8416662,0.002739575,0.1288424],"study_design_scores_gemma":[0.003721523,0.0006251911,0.2454487,0.001500054,0.00004644727,0.00009038827,0.02571731,0.2226483,0.2007441,0.1955221,0.1012605,0.00267543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.529211,0.0005591427,0.4186164,0.0008198252,0.0008139549,0.0002356431,0.00002702119,0.0002038213,0.04951324],"genre_scores_gemma":[0.992308,0.00000434204,0.007487821,0.0001009818,0.00002689691,0.00001315611,0.000001857152,0.00000326776,0.00005371783],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6461442,"threshold_uncertainty_score":0.2073872,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01304887658178514,"score_gpt":0.2491160081136246,"score_spread":0.2360671315318395,"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."}}