{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003484981,0.0001109359,0.0001115499,0.00004745985,0.0002291949,0.0001141082,0.00009152781,0.00006575912,0.000003014211],"category_scores_gemma":[0.00001306363,0.00008522263,0.00006089259,0.0001820515,0.00003298716,0.0000818027,0.00001622453,0.0001379486,0.00002334167],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000586846,"about_ca_system_score_gemma":0.0000111359,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002616419,"about_ca_topic_score_gemma":0.000002125702,"domain_scores_codex":[0.9993873,0.00001788672,0.0001674598,0.0001317401,0.0001266936,0.000168896],"domain_scores_gemma":[0.999365,0.0003964048,0.00001365789,0.0001433496,0.00003456107,0.0000470364],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000005177871,0.000004948617,0.00007822461,0.0003581094,0.00005766721,0.000002802763,0.00008033877,0.000116175,0.0001440207,0.9962791,0.002374144,0.000499341],"study_design_scores_gemma":[0.0005852804,0.0001099733,0.0006399564,0.0002614703,0.00007838613,0.000128025,0.0006011168,0.3217928,0.0006783298,0.2680007,0.4067387,0.0003853016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.880582,0.04031439,0.03740292,0.0008183342,0.02108817,0.001693644,0.0000896709,0.003269189,0.01474166],"genre_scores_gemma":[0.9994261,0.00007145039,0.00001171656,0.000008601754,0.0001339486,0.00009195332,0.00001073753,0.00002910249,0.0002163807],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7282783,"threshold_uncertainty_score":0.3475278,"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."}}