{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000712196,0.0001027135,0.0001453951,0.0004223858,0.0001803496,0.0001340511,0.0003008358,0.0000619667,0.0001334371],"category_scores_gemma":[0.00005530229,0.00009162569,0.0000914526,0.0007495683,0.00001670492,0.0006591472,0.00003248739,0.0001261071,0.00001348457],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008287049,"about_ca_system_score_gemma":0.00006202279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002440824,"about_ca_topic_score_gemma":8.748035e-7,"domain_scores_codex":[0.9987545,0.00006791914,0.0004646514,0.0001621907,0.0003985918,0.0001521247],"domain_scores_gemma":[0.998872,0.00006932508,0.0003220297,0.0001776288,0.0004405194,0.0001184934],"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":[0.00001993888,0.00009924737,0.0001466518,0.000002103402,0.00002826253,0.000004220617,0.0001051535,0.9589229,0.0001464364,0.0387204,0.0001275323,0.00167712],"study_design_scores_gemma":[0.0004265731,0.000138048,0.0007545285,0.00002099028,0.00001396567,0.00003292054,0.00001591732,0.9957033,0.001892611,0.0006613674,0.0002273002,0.0001125277],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002181515,0.0000268841,0.9942979,0.0006984764,0.0004341403,0.00006709505,0.000001042841,0.00003421601,0.002258797],"genre_scores_gemma":[0.4106765,0.00006125954,0.5885304,0.0004172957,0.0001647678,9.628225e-7,0.00001257955,0.000008589976,0.0001276556],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.408495,"threshold_uncertainty_score":0.3736387,"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."}}