{"id":"W2132628835","doi":"10.1007/s11228-013-0239-2","title":"Restricted Normal Cones and the Method of Alternating Projections: Theory","year":2013,"lang":"en","type":"article","venue":"Set-Valued and Variational Analysis","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":68,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of British Columbia; Canada Research Chairs; Deutsche Forschungsgemeinschaft; Pacific Institute for the Mathematical Sciences","keywords":"Underpinning; Constraint (computer-aided design); Convergence (economics); Cone (formal languages); Mathematics; Computer science; Calculus (dental); Mathematical optimization; Applied mathematics; Algorithm; Engineering; Geometry; Economics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001003288,0.0001152963,0.0002803073,0.0004015681,0.0003000389,0.0001956554,0.0002404807,0.0000458752,0.0001731543],"category_scores_gemma":[0.0003101008,0.00007500362,0.000137726,0.001873999,0.00008264329,0.0004676006,0.0001363602,0.00008271798,0.000004301853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000114357,"about_ca_system_score_gemma":0.00004899441,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009642745,"about_ca_topic_score_gemma":0.00001549972,"domain_scores_codex":[0.9983432,0.0005085691,0.0003996228,0.0002875161,0.0003409288,0.0001202148],"domain_scores_gemma":[0.9980879,0.0009216163,0.0002967453,0.0002149667,0.0004235125,0.00005519862],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001373699,0.00002759604,0.003399885,0.000005732394,0.001221657,1.545145e-7,0.0008181248,0.01522195,0.0000515343,0.9768947,0.0000319057,0.002313066],"study_design_scores_gemma":[0.0005484858,0.00001130762,0.05897048,0.00000301996,0.0005348843,0.000003743965,0.000112612,0.8864787,0.00001828271,0.05320532,0.00002546778,0.00008769928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004333657,0.0001090139,0.99187,0.002693234,0.00003530529,0.0001590599,0.00001199016,0.00003152734,0.0007562442],"genre_scores_gemma":[0.7253401,0.00008507958,0.2732117,0.0004958594,0.00006899524,0.00005795517,0.000052804,0.000005428963,0.0006821043],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9236893,"threshold_uncertainty_score":0.3058559,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01273990833924538,"score_gpt":0.2688874153341057,"score_spread":0.2561475069948603,"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."}}