{"id":"W4385811091","doi":"10.1007/s11228-023-00687-y","title":"The Homogenization Cone: Polar Cone and Projection","year":2023,"lang":"en","type":"article","venue":"Set-Valued and Variational Analysis","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Dual cone and polar cone; Homogenization (climate); Cone (formal languages); Mathematics; Regular polygon; Unit sphere; Polar; Geometry; Ligand cone angle; Mathematical analysis; Pure mathematics; Physics; Conical surface; Algorithm","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001715603,0.0009766672,0.0009324445,0.002813397,0.0009513837,0.004258166,0.0009200764,0.001065919,0.005454055],"category_scores_gemma":[0.004537553,0.0005511616,0.000784139,0.001781161,0.004598229,0.006358633,0.002633919,0.00343354,0.0004818553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00127368,"about_ca_system_score_gemma":0.0007162662,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002180413,"about_ca_topic_score_gemma":0.001168428,"domain_scores_codex":[0.9992583,0.000310651,0.00003058315,0.0001725686,0.0001696312,0.00005821721],"domain_scores_gemma":[0.9975908,0.001189063,0.0002947839,0.000122201,0.0004730189,0.0003301098],"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":[0.000007353493,0.000004305146,0.00007627621,0.0000178661,0.000003527625,0.00002398005,0.00006299209,0.0008082851,0.0002310082,0.99602,0.0005659433,0.002178424],"study_design_scores_gemma":[0.000004602181,0.00001060128,0.0001686055,0.00001520629,0.000004898323,0.0000750265,0.0000698536,0.009979364,0.0002046836,0.9857799,0.003681337,0.000005908184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07482754,0.008942495,0.8105296,0.005509325,0.000491743,0.00007352466,0.0004564713,0.00009315108,0.09907615],"genre_scores_gemma":[0.8687901,0.0104522,0.0804604,0.001082532,0.001791511,0.0001238402,0.0005293944,0.0002654046,0.03650463],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005454055,"threshold_uncertainty_score":0.01824564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04352391919275551,"score_gpt":0.314282693898874,"score_spread":0.2707587747061185,"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."}}