{"id":"W4387427629","doi":"10.1007/s11005-023-01729-0","title":"Universal diagonal estimates for minimizers of the Levy–Lieb functional","year":2023,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"Agence Nationale de la Recherche","keywords":"Diagonal; Mathematics; Function (biology); Complex system; Mathematical physics; Combinatorics; Pure mathematics; Physics; Mathematical analysis; Statistical physics; Geometry; Computer science","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":[0.0006218596,0.0003163662,0.0006139167,0.00008397451,0.0001143557,0.00002712442,0.0005765684,0.0001048103,0.00009129258],"category_scores_gemma":[0.001512497,0.0002349653,0.0004257945,0.0008155073,0.0005228034,0.0001476232,0.0001918537,0.0003110346,0.00008574271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001038905,"about_ca_system_score_gemma":0.00004379241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001517595,"about_ca_topic_score_gemma":9.950498e-7,"domain_scores_codex":[0.9977605,0.00009046777,0.0006550862,0.0003381693,0.0006202269,0.0005355145],"domain_scores_gemma":[0.9919207,0.007053496,0.0002485375,0.0006352713,0.00006940217,0.00007259038],"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":[0.00004964527,0.0003265298,0.000167864,0.0007008406,0.00008515834,0.000003117154,0.0005891597,0.0008909561,0.008845145,0.9824289,0.005738076,0.0001746002],"study_design_scores_gemma":[0.0007300647,0.00002859117,0.0003465808,0.0002276053,0.00009346059,0.000002758762,0.0001707026,0.01777557,0.007685196,0.9726647,0.00002744438,0.0002473255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5891035,0.000008089234,0.3990524,0.004720227,0.0005457638,0.001797928,0.00009295528,0.0003741354,0.004305086],"genre_scores_gemma":[0.9105974,0.000002389676,0.0870171,0.0009932111,0.0005359841,0.0002735178,0.00002612394,0.0001812472,0.0003729736],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.321494,"threshold_uncertainty_score":0.9581606,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06723264267987049,"score_gpt":0.3095019637988788,"score_spread":0.2422693211190083,"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."}}