{"id":"W2158961014","doi":"10.1007/s11228-008-0075-y","title":"Second Order Cones for Maximal Monotone Operators via Representative Functions","year":2008,"lang":"en","type":"article","venue":"Set-Valued Analysis","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Monotone polygon; Mathematics; Banach space; Graph; Pure mathematics; Cone (formal languages); Differentiable function; Differential operator; Order (exchange); Combinatorics; Discrete mathematics; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00025406,0.0001942761,0.000412074,0.0006359826,0.0006099291,0.0001219155,0.0004281095,0.0000745019,0.001022045],"category_scores_gemma":[0.0001009395,0.0001769736,0.000429719,0.004571117,0.00007324131,0.0005827319,0.0001073006,0.00008887299,0.00009770306],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005230998,"about_ca_system_score_gemma":0.0001135586,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001600025,"about_ca_topic_score_gemma":0.0001086821,"domain_scores_codex":[0.9982015,0.0001284709,0.0004231007,0.000631934,0.0003520014,0.0002629813],"domain_scores_gemma":[0.9982449,0.0001343393,0.0001790818,0.0005597894,0.0007394298,0.0001424129],"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":[0.0001431169,0.0008069602,0.03038913,0.00002673446,0.02088135,0.00004059851,0.008085277,0.8279464,0.001553045,0.07621931,0.03240113,0.001506955],"study_design_scores_gemma":[0.0005655585,0.00004696584,0.007610079,9.163177e-7,0.0007258616,0.000005868859,0.000154403,0.9877443,0.0003000607,0.0006712473,0.001912644,0.000262131],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01313317,0.00006343194,0.9845573,0.0009075369,0.00009953692,0.0001903806,0.00007874453,0.000116704,0.0008531361],"genre_scores_gemma":[0.8459004,0.00003145894,0.1398644,0.0008853129,0.0001171282,0.0001353004,0.000463707,0.00001863487,0.01258361],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8446929,"threshold_uncertainty_score":0.9998912,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02566835373587489,"score_gpt":0.280487716216663,"score_spread":0.2548193624807881,"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."}}