{"id":"W2577173787","doi":"10.48550/arxiv.1612.06751","title":"Kernels of conditional determinantal measures and the proof of the\\n Lyons-Peres Conjecture","year":2016,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Econometrics; Mathematical economics; Mathematics; Computer science","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":[0.0005523509,0.0003915827,0.000813655,0.0001063468,0.00033778,0.00003078325,0.00107704,0.0003336933,0.0001624302],"category_scores_gemma":[0.0002088987,0.0002241252,0.0005774127,0.0003007489,0.00245676,0.0001044146,0.0008474301,0.0004079504,0.000005163337],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005837631,"about_ca_system_score_gemma":0.0002614621,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007459419,"about_ca_topic_score_gemma":0.00005302431,"domain_scores_codex":[0.9979606,0.0003703832,0.0005953792,0.0005960764,0.000215054,0.0002624863],"domain_scores_gemma":[0.9954655,0.001577509,0.00140671,0.001107042,0.0003555387,0.00008773848],"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":[0.0008647114,0.0003170844,0.004972833,0.001010701,0.0006881994,0.000008912572,0.001227061,0.002607155,0.0005522819,0.9869539,0.0003002486,0.0004969263],"study_design_scores_gemma":[0.008180412,0.00007335887,0.00331124,0.0008284397,0.001678999,0.00004336219,0.0009765537,0.008508614,0.01052819,0.9648113,0.0005768925,0.0004826519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9545516,0.0004462903,0.03734573,0.0004719658,0.0001701164,0.002288682,0.0007634998,0.00001893496,0.00394319],"genre_scores_gemma":[0.9975603,0.0004583046,0.00006602199,0.00001957152,0.00007743545,0.000008050772,0.000005667706,0.00002584959,0.001778799],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04300871,"threshold_uncertainty_score":0.9139562,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05917902995568617,"score_gpt":0.2030248119062616,"score_spread":0.1438457819505755,"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."}}