{"id":"W103594606","doi":"10.46298/dmtcs.3625","title":"Affine and toric arrangements","year":2008,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"National Security Agency","keywords":"Hyperplane; Mathematics; Affine transformation; Intersection (aeronautics); Combinatorics; Lattice (music); Affine space; Pure mathematics; Cartography; Geography; 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":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.002106907,0.0008500856,0.001170867,0.0003156364,0.001211647,0.0003767434,0.00172184,0.0002735264,0.0006356132],"category_scores_gemma":[0.001508204,0.0007659345,0.0002228463,0.001498796,0.01089384,0.0008752424,0.00189037,0.0006573714,0.0003146754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002624912,"about_ca_system_score_gemma":0.0002236422,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003892108,"about_ca_topic_score_gemma":8.150471e-7,"domain_scores_codex":[0.9937713,0.0001788759,0.001322447,0.001189125,0.001957735,0.001580575],"domain_scores_gemma":[0.994705,0.001741902,0.0005017609,0.001683995,0.0005126032,0.0008547288],"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":[0.00001363558,0.0006576103,0.00002304922,0.0008503821,0.00005545246,0.0001032132,0.006359487,0.00001599835,0.0002929427,0.9878072,0.0005534,0.003267644],"study_design_scores_gemma":[0.0008270902,0.0003929814,0.00002953732,0.0007006869,0.0001552517,0.0005982302,0.0002067126,0.1402422,0.0009299125,0.8542836,0.0008436652,0.0007901203],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.08231687,0.001109166,0.8900515,0.001890589,0.004259927,0.001208218,0.00003343202,0.0003050191,0.01882532],"genre_scores_gemma":[0.4002204,0.0003046819,0.597197,0.0001651721,0.0007302801,0.00003546183,0.000002688772,0.0001145632,0.00122978],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3179035,"threshold_uncertainty_score":0.9994792,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02367048349303461,"score_gpt":0.2848651998464312,"score_spread":0.2611947163533965,"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."}}