{"id":"W4411391499","doi":"10.1002/jcd.21985","title":"Strong External Difference Families and Classification of α‐Valuations","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Bipartite graph; Affine transformation; Dihedral group; Combinatorics; Alpha (finance); Sequence (biology); Discrete mathematics; Pure mathematics; Group (periodic table); Statistics; Graph","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":[0.0003799092,0.00006982435,0.0001874188,0.0001772284,0.00003621521,0.00002221679,0.0001120153,0.00005119656,0.000005042577],"category_scores_gemma":[0.00006045016,0.00006217471,0.00005235395,0.0001511976,0.00004138898,0.00009520318,0.000008094611,0.0001220516,5.385422e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002574018,"about_ca_system_score_gemma":0.00003970616,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001520356,"about_ca_topic_score_gemma":5.485946e-7,"domain_scores_codex":[0.9992831,0.00008477337,0.0003651022,0.00004278296,0.0001521488,0.00007213525],"domain_scores_gemma":[0.9994794,0.000145959,0.0001223979,0.00008426084,0.0001338982,0.00003406487],"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":[0.00006732364,0.00006645676,0.006547061,0.00012166,0.0001132247,0.000001879126,0.0004315741,0.000698053,0.2824618,0.7037214,0.0002799944,0.005489565],"study_design_scores_gemma":[0.003618535,0.0005470178,0.4112919,0.00101576,0.0002870268,0.00003274567,0.001268556,0.01263364,0.04859795,0.5195583,0.0008403402,0.0003082811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9356589,0.0007290701,0.05888978,0.00001732666,0.002760517,0.00007442851,0.000001953898,0.00001351063,0.00185457],"genre_scores_gemma":[0.9996144,0.00008366436,0.0001730237,0.00000185632,0.00008066944,0.000002301275,2.526834e-7,0.00000487056,0.00003901922],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4047448,"threshold_uncertainty_score":0.2535411,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02747110979178699,"score_gpt":0.2607734652761141,"score_spread":0.2333023554843271,"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."}}