{"id":"W2030762014","doi":"10.1007/s00373-013-1365-1","title":"Forbidden Configurations and Product Constructions","year":2013,"lang":"en","type":"article","venue":"Graphs and Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Combinatorics; Matrix (chemical analysis); TRACE (psycholinguistics); Mathematics; Product (mathematics); Permutation (music); Simple (philosophy); Identity matrix; Geometry; Physics; Eigenvalues and eigenvectors","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":[0.00004550042,0.00008906346,0.00009793235,0.00006875239,0.0001338454,0.00006947874,0.000037715,0.00003668184,0.00002632612],"category_scores_gemma":[0.000005585543,0.00008364858,0.0000198562,0.0001683867,0.00007523988,0.0001377223,0.000009448907,0.0000783928,0.000009513184],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004470245,"about_ca_system_score_gemma":0.000003929027,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001884418,"about_ca_topic_score_gemma":0.000002084376,"domain_scores_codex":[0.9996036,0.00001226516,0.0001099515,0.0001036091,0.00004975613,0.0001207648],"domain_scores_gemma":[0.9997382,0.00002104968,0.0000135587,0.0001151891,0.00003870208,0.00007328393],"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":[4.149733e-7,0.000009382079,0.004434078,0.00004284957,0.00002886936,5.869061e-7,0.0001788768,0.000005463412,0.001172603,0.989278,0.001738995,0.003109945],"study_design_scores_gemma":[0.0005075055,0.00005426301,0.02933751,0.00002488218,0.00003436107,0.0001137439,0.0009375897,0.001367842,0.001065997,0.9572039,0.009007249,0.0003451611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9861537,0.001587794,0.0001183582,0.00006406772,0.0005605454,0.0002286404,0.000005430215,0.0001887407,0.01109277],"genre_scores_gemma":[0.9995286,0.0002134363,0.00003262739,0.00001094073,0.00001093104,0.00005465908,0.000002988335,0.000009895478,0.0001358472],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03207405,"threshold_uncertainty_score":0.341109,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004483384734546405,"score_gpt":0.1607224921183776,"score_spread":0.1562391073838312,"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."}}