{"id":"W1764008429","doi":"10.37236/161","title":"Counting Abelian Squares","year":2009,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Algorithms and Data Compression","field":"Computer Science","cited_by":56,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Abelian group; Combinatorics; Permutation (music); Concatenation (mathematics); Discrete mathematics; String (physics)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001759659,0.0008424195,0.00142431,0.003629095,0.001848162,0.003710697,0.002820379,0.001508873,0.01553561],"category_scores_gemma":[0.02725983,0.000707926,0.0007875504,0.00331945,0.003150078,0.01264332,0.003991586,0.001929234,0.003142761],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001174808,"about_ca_system_score_gemma":0.0008699719,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005901252,"about_ca_topic_score_gemma":0.0006523635,"domain_scores_codex":[0.9951349,0.001208659,0.0002713151,0.0009096566,0.001931876,0.0005435889],"domain_scores_gemma":[0.9839236,0.009967291,0.0009603067,0.002427507,0.002069212,0.0006521606],"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":[0.0003350692,0.0001046038,0.005264584,0.0004680009,0.00005271642,0.0004668544,0.0004916547,0.01041697,0.008495782,0.8626038,0.0168373,0.09446274],"study_design_scores_gemma":[0.00003346589,0.00007269767,0.001301337,0.00009960968,0.00004497152,0.001668708,0.0001902088,0.08032284,0.008274298,0.8890015,0.01893906,0.00005131307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2456388,0.00353414,0.6210648,0.002968097,0.0008977989,0.000273102,0.001351644,0.001595758,0.1226758],"genre_scores_gemma":[0.7513624,0.002329544,0.198307,0.001154797,0.001343644,0.0007873754,0.002296759,0.001141843,0.04127675],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01553561,"threshold_uncertainty_score":0.05197185,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005164885710695032,"score_gpt":0.2253073682846694,"score_spread":0.2201424825739744,"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."}}