{"id":"W4402983021","doi":"10.1007/s12220-024-01797-1","title":"Aggregation-Diffusion Energies on Cartan–Hadamard Manifolds of Unbounded Curvature","year":2024,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Mathematical Biology Tumor Growth","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Differential geometry; Mathematics; Hadamard transform; Curvature; Diffusion; Mathematical analysis; Scalar curvature; Fourier analysis; Pure mathematics; Fourier transform; Geometry; Physics","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":[0.001332365,0.0002153132,0.0009696243,0.004558625,0.00005870473,0.00006151143,0.0003572528,0.00018486,0.0005828372],"category_scores_gemma":[0.003131466,0.0001436002,0.0009277899,0.008707323,0.00007953953,0.0001321086,0.00006027284,0.0003991081,0.00001814447],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001300856,"about_ca_system_score_gemma":0.00008248892,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001284234,"about_ca_topic_score_gemma":0.00001121382,"domain_scores_codex":[0.9974469,0.000137989,0.001132464,0.0002060296,0.0008578226,0.0002188155],"domain_scores_gemma":[0.9954039,0.002956319,0.0007650717,0.0003473888,0.0004112121,0.0001160467],"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":[0.0005304526,0.002896968,0.05226789,0.003592101,0.04495892,0.001353744,0.002547804,0.001668263,0.006911364,0.8030635,0.05677553,0.02343351],"study_design_scores_gemma":[0.002745597,0.003371277,0.03099364,0.00233799,0.04595837,0.0006160578,0.001922496,0.01267471,0.03147059,0.8546674,0.01150615,0.001735706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.983394,0.002337457,0.0111538,0.0004452613,0.000254399,0.00008142665,0.00001813994,0.00003549292,0.00228006],"genre_scores_gemma":[0.9926825,0.000256485,0.005461708,0.0000386983,0.0001596406,0.000001714009,0.000005050906,0.00002054492,0.001373657],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05160396,"threshold_uncertainty_score":0.6381658,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02399166799059933,"score_gpt":0.3059973308022498,"score_spread":0.2820056628116505,"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."}}