{"id":"W4403939241","doi":"10.5802/alco.375","title":"The linear system for Sudoku and a fractional completion threshold","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Applied mathematics; Calculus (dental); Medicine; Orthodontics","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":[0.0006445189,0.0004834947,0.0007205853,0.0007070006,0.001035638,0.001517573,0.000760339,0.001134113,0.006924252],"category_scores_gemma":[0.003970427,0.0003449045,0.000547437,0.0003716385,0.002131019,0.001776339,0.001637156,0.001692572,0.0005519421],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001015433,"about_ca_system_score_gemma":0.001087169,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002307854,"about_ca_topic_score_gemma":0.001827142,"domain_scores_codex":[0.9995908,0.0001274437,0.000009724999,0.00005025222,0.00009860436,0.00012316],"domain_scores_gemma":[0.9991201,0.0004292117,0.0001102698,0.0001085628,0.00007947057,0.0001523778],"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":[0.00005426177,0.00003196599,0.0003512243,0.00004557574,0.00001375951,0.0001970024,0.0001781836,0.02715519,0.002130107,0.964916,0.002389529,0.002537151],"study_design_scores_gemma":[0.00004107106,0.00003237961,0.000299688,0.00002100571,0.000007204913,0.0001415727,0.0001718066,0.3492264,0.001141716,0.6474111,0.001478713,0.00002727562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7292185,0.0007054291,0.1978106,0.003454222,0.0002418528,0.00008965424,0.0001882192,0.000361816,0.0679298],"genre_scores_gemma":[0.9729509,0.000196842,0.01642338,0.0003329585,0.00008533362,0.00009202905,0.00009694737,0.00007946659,0.009742177],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006924252,"threshold_uncertainty_score":0.02316391,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009174809248733927,"score_gpt":0.2129243991810131,"score_spread":0.2037495899322792,"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."}}