{"id":"W4413235386","doi":"10.23952/jnva.9.2025.6.06","title":"Simplified primal-dual forward-backward splitting algorithm for solving structured monotone inclusion with applications","year":2025,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Guangzhou University","keywords":"Monotone polygon; Dual (grammatical number); Algorithm; Inclusion (mineral); Mathematics; Mathematical optimization; Computer science; Applied mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007457652,0.0001484579,0.000452665,0.0006383855,0.0005055849,0.00007305736,0.0001564586,0.00008514554,0.00003782371],"category_scores_gemma":[0.0003849858,0.0001142396,0.0001992815,0.001173293,0.00004277658,0.0002145519,0.0001678492,0.000208562,2.909774e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001073325,"about_ca_system_score_gemma":0.0002428084,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004426089,"about_ca_topic_score_gemma":0.000009917035,"domain_scores_codex":[0.9983848,0.00004150513,0.0006799804,0.0002104297,0.0004994225,0.0001838302],"domain_scores_gemma":[0.9968641,0.0009220375,0.0005590114,0.0001549117,0.00140247,0.00009741917],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001533871,0.002023914,0.00697998,0.0008085836,0.02594156,0.00002674102,0.002956375,0.3735317,0.003666682,0.1532697,0.0007260881,0.4285348],"study_design_scores_gemma":[0.001481495,0.00008704241,0.001281132,0.00003179072,0.001443862,0.00001298125,0.0001722987,0.9338318,0.0002627231,0.06011926,0.001130558,0.0001450718],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002237417,0.00009267547,0.9964003,0.0007164488,0.00002269744,0.0003582831,0.0000927136,0.00001456042,0.00006490634],"genre_scores_gemma":[0.01775426,0.00004843604,0.9814222,0.00008793697,0.0002514802,0.00002919805,0.00007935805,0.00001625349,0.0003109183],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5603001,"threshold_uncertainty_score":0.4658556,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01787832362825571,"score_gpt":0.3483532938851304,"score_spread":0.3304749702568747,"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."}}