{"id":"W2066559849","doi":"10.1007/s10957-011-9971-7","title":"Existence and Uniqueness of Solutions for Homogeneous Cone Complementarity Problems","year":2012,"lang":"en","type":"article","venue":"Journal of Optimization Theory and Applications","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Nonlinear complementarity problem; Uniqueness; Complementarity (molecular biology); Homogeneous; Complementarity theory; Mixed complementarity problem; Mathematics; Monotone polygon; Nonlinear system; Homogeneous function; Cone (formal languages); Mathematical analysis; Applied mathematics; Mathematical optimization; Geometry; Physics; Algorithm; Combinatorics","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":[],"consensus_categories":[],"category_scores_codex":[0.001066842,0.000065505,0.0001459712,0.0001151321,0.0002407765,0.00003940797,0.0001590368,0.00002995578,0.00001778702],"category_scores_gemma":[0.00004727908,0.00005813217,0.00004477097,0.0002617874,0.00007346833,0.0004484998,0.00005719574,0.00004211608,2.102784e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001425817,"about_ca_system_score_gemma":0.00004075571,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001931888,"about_ca_topic_score_gemma":7.279993e-7,"domain_scores_codex":[0.9992456,0.00008818154,0.0003630955,0.00008702224,0.0001033575,0.0001127433],"domain_scores_gemma":[0.9986784,0.0002707115,0.0004096125,0.0001185536,0.0004340701,0.0000886656],"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":[0.000009292889,0.0001260209,0.0003094041,0.00002161007,0.0000417297,2.521752e-8,0.0002637402,0.08275919,0.0001239941,0.9143582,0.00001999022,0.001966829],"study_design_scores_gemma":[0.002223355,0.0003025777,0.003072936,0.00007544311,0.0004519082,0.0002212725,0.000711518,0.7080683,0.001821753,0.2726297,0.009925745,0.0004955105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0005875546,0.0005487846,0.9979921,0.0004652208,0.00002769453,0.0002240747,0.00001707009,0.000009141985,0.0001283428],"genre_scores_gemma":[0.4866072,0.0004475809,0.5125562,0.0001676159,0.00007198834,0.0000533465,0.00001973103,0.000005823325,0.00007047642],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.6417285,"threshold_uncertainty_score":0.2370561,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03145824916363664,"score_gpt":0.2753879869377373,"score_spread":0.2439297377741007,"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."}}