{"id":"W4250650966","doi":"10.23952/jnva.3.2019.1.06","title":"On a weakly C-$\\epsilon$-vector saddle point approach in weak vector problems","year":2019,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Saddle point; Vector (molecular biology); Saddle; Point (geometry); Mathematics; Pure mathematics; Physics; Geometry; Mathematical optimization; Chemistry","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":[0.0004760636,0.0001273192,0.0004379744,0.0004314329,0.00003315592,0.00004954388,0.0001064133,0.00007550127,0.0003581592],"category_scores_gemma":[0.0001004273,0.0001064578,0.0002597018,0.0006078464,0.00001600641,0.0001307449,0.00001267609,0.0002426622,0.000013487],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008520146,"about_ca_system_score_gemma":0.00004708633,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003182676,"about_ca_topic_score_gemma":0.00007210712,"domain_scores_codex":[0.9987898,0.0000624155,0.0005314579,0.0001445922,0.0003344518,0.0001373045],"domain_scores_gemma":[0.9992521,0.0002727572,0.0001231924,0.000132029,0.0001409423,0.00007899383],"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":[0.0001779583,0.0007951441,0.0355324,0.000122579,0.002217055,0.000001290823,0.0008006141,0.9453865,0.002577721,0.01156662,0.00004995655,0.0007721306],"study_design_scores_gemma":[0.0008152953,0.0001267029,0.2626351,0.00001843406,0.0003088503,0.000003082984,0.00008397045,0.7335124,0.00001409109,0.002244139,0.0001166236,0.0001213167],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9702017,0.00018919,0.02730403,0.0007241232,0.0001499218,0.0001781951,0.00004405358,0.00001575891,0.001193072],"genre_scores_gemma":[0.9950233,0.00002000894,0.004725503,0.00003401311,0.00009594127,0.000004379697,0.00002113256,0.000009105146,0.00006658413],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2271027,"threshold_uncertainty_score":0.4341222,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009373338957717916,"score_gpt":0.2114691980382524,"score_spread":0.2020958590805345,"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."}}