{"id":"W2949516241","doi":"10.48550/arxiv.1203.0801","title":"Deterministic approximations of random reflectors","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Geometrical optics; Measure (data warehouse); Optics; Limit (mathematics); Physics; Reflector (photography); Kernel (algebra); Surface (topology); Line (geometry); Physical optics; Surface finish; Surface roughness; Mathematics; Mathematical analysis; Geometry; Quantum mechanics; Computer science; Pure mathematics; Materials 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003985615,0.0002817484,0.0006559455,0.0001765499,0.00007098942,0.00002119785,0.0004901388,0.0003215555,0.0002803457],"category_scores_gemma":[0.0004618358,0.0002834488,0.0003301805,0.0002181257,0.0001494095,0.00008038998,0.0004845478,0.0003916043,0.00004167193],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008393441,"about_ca_system_score_gemma":0.00007720164,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001719728,"about_ca_topic_score_gemma":0.00001252447,"domain_scores_codex":[0.9986877,0.0001156311,0.0004212356,0.000385597,0.00009995015,0.0002898398],"domain_scores_gemma":[0.9974695,0.0008267933,0.0005458989,0.0008634291,0.0001394367,0.0001548956],"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":[0.00005867163,0.0003947529,0.0003104215,0.001416366,0.0001807604,0.00002224973,0.0003371612,0.001140178,0.00007618195,0.9958097,0.0001426373,0.0001108955],"study_design_scores_gemma":[0.0006144674,0.00002053992,0.0000821172,0.000204003,0.0004588113,0.000003117662,0.00006776046,0.1473133,0.00006626187,0.8507918,0.00006091952,0.0003169319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5234467,0.00003054993,0.4488683,0.0000158599,0.0002793508,0.0006221961,0.0001004992,0.0001135063,0.02652298],"genre_scores_gemma":[0.9933968,0.00003272488,0.00488934,0.000008104487,0.00005559878,0.000002458265,0.00002374146,0.00003652198,0.001554778],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.46995,"threshold_uncertainty_score":0.9999618,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1815481503758231,"score_gpt":0.2528367717596335,"score_spread":0.07128862138381045,"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."}}