{"id":"W2096596625","doi":"10.48550/arxiv.1307.2712","title":"On cluster points of alternating projections","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Intersection (aeronautics); Combinatorics; Euclidean space; Regular polygon; Euclidean geometry; Cluster (spacecraft); Point (geometry); Geometry; Computer science","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":[0.0001235853,0.0001375347,0.0001788917,0.0003431025,0.00008494013,0.00006825648,0.0007870843,0.0001063368,0.0001189776],"category_scores_gemma":[0.00004872427,0.0001450271,0.0001591473,0.0004956608,0.00002754073,0.0002432261,0.0007295422,0.0002138716,0.0001102147],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008338311,"about_ca_system_score_gemma":0.00008718423,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000236896,"about_ca_topic_score_gemma":0.00001335361,"domain_scores_codex":[0.9990186,0.00009012622,0.0001725178,0.0005029215,0.00009317175,0.0001226271],"domain_scores_gemma":[0.9987306,0.00009927362,0.0002890511,0.0005599482,0.0002612469,0.00005987174],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000002595921,0.00005259708,0.0003928826,0.00001171998,0.00005597791,0.000002510951,0.00006737922,0.5516715,0.000002365754,0.4474715,0.0002100868,0.0000589081],"study_design_scores_gemma":[0.0001897478,0.00002072377,0.0005753477,0.00003645799,0.00002922755,5.491804e-7,0.00001189067,0.9342378,0.00003751539,0.06468487,0.0000400959,0.0001358285],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07095177,0.000002192333,0.9215936,0.0003154452,0.0002548858,0.0001610661,0.000007131538,0.00007716133,0.006636774],"genre_scores_gemma":[0.9884369,0.00001546477,0.008422661,0.0001788837,0.00003126204,9.055584e-7,0.00001186094,0.000006446448,0.002895614],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9174851,"threshold_uncertainty_score":0.5914032,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06039888949447531,"score_gpt":0.1927773026925436,"score_spread":0.1323784131980683,"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."}}