{"id":"W2091859835","doi":"10.1137/060658357","title":"Asplund Decomposition of Monotone Operators","year":2007,"lang":"en","type":"article","venue":"SIAM Journal on Optimization","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Remainder; Mathematics; Indecomposable module; Monotone polygon; Subderivative; Monotonic function; Operator (biology); Strongly monotone; Pure mathematics; Nonlinear system; Discrete mathematics; Algebra over a field; Mathematical analysis; Regular polygon; Arithmetic; Convex optimization","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000512907,0.0005839362,0.0002750304,0.0008664655,0.0004543274,0.001124545,0.000433398,0.0005233106,0.005562788],"category_scores_gemma":[0.001063992,0.000177767,0.0004995975,0.0003258335,0.000971118,0.002086228,0.001110312,0.001342409,0.0006244277],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006926893,"about_ca_system_score_gemma":0.0004934683,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005750325,"about_ca_topic_score_gemma":0.0004870089,"domain_scores_codex":[0.9997416,0.00004129289,0.00001672842,0.00004698778,0.0001125674,0.00004076992],"domain_scores_gemma":[0.999692,0.00005428216,0.00004582779,0.00003535322,0.00009020797,0.00008229807],"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":[0.00001064719,0.00001001156,0.00006157583,0.00001607396,0.000001854872,0.00005418586,0.00008992264,0.001239098,0.001949569,0.9915293,0.0003228722,0.004714839],"study_design_scores_gemma":[0.000009790941,0.00003348689,0.0001363264,0.00001282678,0.000003934827,0.0001485866,0.00008432543,0.03728857,0.00171092,0.9547647,0.005797775,0.000008909816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2206879,0.0005756711,0.6756713,0.000623721,0.0001949338,0.0001086719,0.0002614608,0.0001746908,0.1017016],"genre_scores_gemma":[0.8072724,0.0007902118,0.1324027,0.0002733067,0.0002237379,0.000125399,0.0003328152,0.0001133439,0.05846614],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005562788,"threshold_uncertainty_score":0.01860934,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008174040744057377,"score_gpt":0.2733736201165596,"score_spread":0.2651995793725022,"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."}}