{"id":"W2739956770","doi":"10.48550/arxiv.1708.00585","title":"Projecting onto the intersection of a cone and a sphere","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Cone (formal languages); Intersection (aeronautics); Projection (relational algebra); Ball (mathematics); Mathematics; Dual cone and polar cone; Projector; Pure mathematics; Mathematical analysis; Geometry; Computer science; Algorithm; Computer vision; Regular polygon; Engineering","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00187104,0.0007808681,0.0005688729,0.001471678,0.001094668,0.002739428,0.0009574066,0.0006961364,0.007291983],"category_scores_gemma":[0.005841312,0.0003543656,0.0009704207,0.0009211049,0.003109257,0.003152545,0.00205391,0.002087062,0.0007838178],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007869034,"about_ca_system_score_gemma":0.001118653,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00126065,"about_ca_topic_score_gemma":0.0006029179,"domain_scores_codex":[0.9984786,0.0004271832,0.00007693865,0.0002774472,0.000544981,0.0001948226],"domain_scores_gemma":[0.9976143,0.0009496537,0.0002576484,0.0003692896,0.0005613376,0.0002479452],"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":[0.00004570984,0.00002839104,0.0007315483,0.00005011065,0.00001043303,0.0001992955,0.0001961445,0.0137855,0.002413614,0.9721415,0.0008155284,0.00958213],"study_design_scores_gemma":[0.00001525219,0.00009900649,0.0006905255,0.00004458905,0.00001074487,0.0003883148,0.0002669993,0.2150988,0.005570975,0.7742069,0.003564703,0.00004321175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2077708,0.000136158,0.7625679,0.0001859956,0.00005892588,0.0000932643,0.0002013975,0.0002746543,0.02871103],"genre_scores_gemma":[0.8539636,0.0003063091,0.1366339,0.000136645,0.00007288262,0.0001551504,0.0005283992,0.0003240258,0.00787901],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.007291983,"threshold_uncertainty_score":0.02439409,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06576583824185062,"score_gpt":0.1972589103567171,"score_spread":0.1314930721148665,"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."}}