{"id":"W4380244218","doi":"10.1007/s00526-023-02513-7","title":"A variational characterization of calibrated submanifolds","year":2023,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Characterization (materials science); Pure mathematics; Combinatorics; 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":[0.0002346344,0.0001180168,0.0002990489,0.0003799704,0.0001366606,0.00003141834,0.00009339574,0.0001094843,0.0004827913],"category_scores_gemma":[0.0005416942,0.0001081003,0.0001173623,0.001491472,0.00004836545,0.0001624638,0.0000509207,0.00006677939,0.0000099418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001027562,"about_ca_system_score_gemma":0.00006701584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006339735,"about_ca_topic_score_gemma":0.00001629491,"domain_scores_codex":[0.9986818,0.00009504917,0.0005877877,0.0001772538,0.0003022765,0.000155838],"domain_scores_gemma":[0.998748,0.0003753932,0.0003324218,0.0001959674,0.0002792719,0.00006891503],"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":[0.00001067998,0.000178069,0.0002285836,0.00004180168,0.0001408055,2.927481e-7,0.0004083304,0.00008454466,0.04438419,0.9539208,0.00008012907,0.0005217761],"study_design_scores_gemma":[0.0006696836,0.00007341416,0.06160526,0.00003081498,0.0004414254,7.189224e-7,0.00007089788,0.9265155,0.003322951,0.006910045,0.0001656001,0.0001936471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2293819,0.000006812017,0.7698184,0.0001708519,0.0001291887,0.0001561579,0.0001742357,0.00004569649,0.0001167708],"genre_scores_gemma":[0.9985725,0.00001766889,0.000263,0.000007795257,0.00009186493,0.00003272032,0.0007028251,0.00001283526,0.0002988061],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9470108,"threshold_uncertainty_score":0.5286226,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04492011527807568,"score_gpt":0.2891487618260144,"score_spread":0.2442286465479387,"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."}}