{"id":"W2962903200","doi":"10.4171/jems/557","title":"Extremal metrics and lower bound of the modified K-energy","year":2015,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Ministry of Education, Culture, Sports, Science and Technology; Agence Nationale de la Recherche","keywords":"Mathematics; Upper and lower bounds; Energy (signal processing); Combinatorics; Pure mathematics; Statistics; Discrete mathematics; Mathematical analysis","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":[0.00285194,0.0001548031,0.0003606914,0.00002872413,0.0001235195,0.00006034183,0.0007607147,0.00005367581,0.00003316083],"category_scores_gemma":[0.001538495,0.00007373369,0.0005508675,0.0004566223,0.0002235022,0.00009339587,0.0004844943,0.0003162191,0.000004187082],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004344266,"about_ca_system_score_gemma":0.00005195284,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000119839,"about_ca_topic_score_gemma":4.191857e-7,"domain_scores_codex":[0.9978526,0.0004493986,0.0006791341,0.00009972655,0.0007304017,0.000188739],"domain_scores_gemma":[0.9979433,0.000516938,0.0006980115,0.0004486274,0.0002543275,0.0001388107],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001000766,0.001915397,0.0004656245,0.0006438418,0.0008474017,0.00003226241,0.006683361,0.0001399934,0.002526864,0.8727468,0.1107847,0.003113714],"study_design_scores_gemma":[0.001185602,0.0001715996,0.001796185,0.0002513124,0.000352806,0.0004892735,0.001127203,0.002062692,0.0006556529,0.9882774,0.003422445,0.0002078769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8539912,0.0005392513,0.07424227,0.00205186,0.0008541283,0.0002145149,0.000006365832,0.00002825042,0.06807219],"genre_scores_gemma":[0.9880403,0.00001331201,0.009411295,0.0001916396,0.0002203668,3.705887e-7,4.799848e-8,0.00002905069,0.002093595],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1340491,"threshold_uncertainty_score":0.3006773,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09181323668792259,"score_gpt":0.2778726342429854,"score_spread":0.1860593975550628,"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."}}