{"id":"W1536879944","doi":"10.1090/s0002-9939-05-07719-1","title":"A new proximal point iteration that converges weakly but not in norm","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":43,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Norm (philosophy); Mathematics; Applied mathematics; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003096616,0.0001154998,0.0002492995,0.00003558219,0.00006875461,0.0001159418,0.0005828344,0.00002924857,0.00004962675],"category_scores_gemma":[0.0001040034,0.00007916975,0.0002117839,0.0006827651,0.00009233422,0.0005424587,0.0002080907,0.0001130398,0.00002155573],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007656258,"about_ca_system_score_gemma":0.00005010392,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003304647,"about_ca_topic_score_gemma":0.00000157953,"domain_scores_codex":[0.9988781,0.000007386647,0.0003015651,0.0002222136,0.0004145133,0.0001762502],"domain_scores_gemma":[0.999269,0.00007219821,0.0003377424,0.0001193957,0.0001320464,0.00006961077],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000369328,0.0005933654,0.01083664,0.0001917062,0.0001798277,1.707193e-7,0.01535563,0.0007923185,0.02028177,0.9310107,0.009456208,0.01126478],"study_design_scores_gemma":[0.0004122854,0.00006244514,0.01287594,0.00006712759,0.00003525773,0.000007432906,0.000778276,0.9299324,0.02341034,0.03189002,0.0002711543,0.0002572964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3435383,0.00001875477,0.5753274,0.07614694,0.00005189085,0.0005411936,0.000003248627,0.0002273091,0.004144995],"genre_scores_gemma":[0.6593993,0.000009482454,0.3387836,0.001276419,0.00004387219,0.00001032877,2.323024e-7,0.000007101329,0.0004696783],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9291401,"threshold_uncertainty_score":0.3228449,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01162652521681878,"score_gpt":0.2334090368856212,"score_spread":0.2217825116688024,"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."}}