{"id":"W1974036004","doi":"10.1137/130924214","title":"Generalized Solutions for the Sum of Two Maximally Monotone Operators","year":2014,"lang":"en","type":"article","venue":"SIAM Journal on Control and Optimization","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Monotone polygon; Duality (order theory); Set (abstract data type); Applied mathematics; Zero (linguistics); Explained sum of squares; Pure mathematics","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":[0.0007678648,0.00009245249,0.0001676616,0.0001292778,0.0004913116,0.000194367,0.0002393687,0.00003275557,0.00002126174],"category_scores_gemma":[0.0001415863,0.00005976238,0.00009845038,0.0002360723,0.00002832791,0.000285864,0.00002656012,0.0000738651,0.000001177009],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001662095,"about_ca_system_score_gemma":0.00004969358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006724742,"about_ca_topic_score_gemma":0.00000474273,"domain_scores_codex":[0.9990924,0.0001230269,0.0003045841,0.0001389565,0.0001878642,0.0001531965],"domain_scores_gemma":[0.9988951,0.0002607324,0.000221869,0.000148752,0.0004027211,0.00007082884],"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":[0.00002461173,0.00002634318,0.00005105231,0.000001464559,0.00004804524,8.541674e-8,0.00003540167,0.7896387,0.0000544243,0.2080011,0.0001015903,0.002017215],"study_design_scores_gemma":[0.002327959,0.0001131579,0.0002807643,0.000006705807,0.0000540967,0.000006800984,0.000005502201,0.9946564,0.00002429624,0.001557384,0.0008929339,0.00007401691],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0002154137,0.0001379753,0.9913625,0.00778621,0.0001790005,0.0001647711,0.000005088758,0.00001632783,0.0001327082],"genre_scores_gemma":[0.7677256,0.0004671507,0.2293129,0.002058016,0.0002426112,0.00002549859,0.000008327225,0.00001047804,0.0001493598],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7675102,"threshold_uncertainty_score":0.3778821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01276666762137121,"score_gpt":0.2418848945018569,"score_spread":0.2291182268804857,"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."}}