{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001036337,0.0001047031,0.0001641792,0.00008065792,0.000200371,0.0001459151,0.001618122,0.00003709589,0.000003163944],"category_scores_gemma":[0.00004968691,0.00006395208,0.00008057549,0.0004153573,0.00001947672,0.0005584849,0.00008852357,0.000529148,0.000007150765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001259581,"about_ca_system_score_gemma":0.0002764903,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003437026,"about_ca_topic_score_gemma":4.435381e-7,"domain_scores_codex":[0.9986196,0.00007313288,0.0003071765,0.0001013678,0.0004696187,0.0004291378],"domain_scores_gemma":[0.9989154,0.00009696269,0.000339089,0.0003821092,0.0002051661,0.00006126035],"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":[0.000007104604,0.00007107596,0.00003904235,0.000001386119,0.00001307856,0.00001009841,0.0001415466,0.00005217675,0.0002436307,0.9813357,0.00204122,0.01604394],"study_design_scores_gemma":[0.0004974971,0.00077628,0.0009576939,0.00003137927,0.00001307128,0.0002623958,0.00002711745,0.006169541,0.0008033909,0.96778,0.02256071,0.0001209136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04971233,0.008017497,0.9339836,0.005858945,0.0009495799,0.00008771118,3.787615e-7,0.0000548568,0.001335125],"genre_scores_gemma":[0.9987109,0.0004186716,0.000354957,0.0003053957,0.000124911,2.615402e-7,2.402068e-7,0.000004421849,0.0000802275],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9489986,"threshold_uncertainty_score":0.3006901,"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."}}