{"id":"W2963345940","doi":"10.4153/cmb-2011-121-9","title":"An Optimal Transport View of Schrödinger's Equation","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Symplectic geometry; Wasserstein metric; Probability measure; Lift (data mining); Symplectic manifold; Space (punctuation); Pure mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007712818,0.0003332496,0.0004429243,0.0006890771,0.0005873129,0.00131987,0.0007334831,0.001087738,0.004898753],"category_scores_gemma":[0.001084633,0.0001981625,0.0006515833,0.0003499415,0.001796353,0.002916795,0.001185181,0.0009510837,0.0002928338],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001912979,"about_ca_system_score_gemma":0.0008641829,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002917343,"about_ca_topic_score_gemma":0.001235219,"domain_scores_codex":[0.9996678,0.00007556214,0.00001709704,0.00004874565,0.0001506049,0.00004025233],"domain_scores_gemma":[0.9997706,0.00006785667,0.00003894987,0.00003055939,0.00006167283,0.00003043601],"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":[0.000004142927,0.000004154796,0.00003866251,0.000009206862,0.000002674061,0.00003588735,0.00003164447,0.004315131,0.0005295497,0.9940637,0.0003088342,0.0006563989],"study_design_scores_gemma":[0.00000766541,0.00001619167,0.0001152654,0.000008781691,0.000004169658,0.00005737944,0.00003422223,0.07052853,0.0002642635,0.9274312,0.001524016,0.000008341627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2782638,0.002200098,0.5554614,0.01547565,0.0007025142,0.00009628956,0.0004445502,0.0003118312,0.1470438],"genre_scores_gemma":[0.964172,0.0009532202,0.02163574,0.0006345015,0.0002841531,0.00005507229,0.00009639907,0.00007638073,0.01209259],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004898753,"threshold_uncertainty_score":0.016388,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04364087733281047,"score_gpt":0.2794420472293885,"score_spread":0.235801169896578,"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."}}