{"id":"W7103104083","doi":"","title":"A mathematical study of the excess growth rate","year":2025,"lang":"","type":"article","venue":"arXiv (Cornell University)","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Logarithm; Axiom; Growth rate; Maximization; Measure (data warehouse); Divergence (linguistics); Information theory","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.002932134,0.0005908639,0.0005811346,0.001469184,0.0006388985,0.001974472,0.0009884344,0.001372689,0.003675698],"category_scores_gemma":[0.015909,0.0002724688,0.0005584012,0.001271833,0.003221544,0.007326541,0.001909743,0.002525744,0.000514529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001875913,"about_ca_system_score_gemma":0.0009643597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005644837,"about_ca_topic_score_gemma":0.0002354551,"domain_scores_codex":[0.9988149,0.0003897375,0.00006094451,0.0002153984,0.0003931859,0.0001258194],"domain_scores_gemma":[0.9913449,0.006143937,0.0008365086,0.0004872069,0.0007864029,0.0004011743],"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":[0.00001247731,0.00000922217,0.0003041497,0.00005210549,0.000006073386,0.0000758879,0.00006157463,0.009162808,0.0007611553,0.9845852,0.0008615442,0.004107733],"study_design_scores_gemma":[0.000007142074,0.0000256076,0.0003225282,0.00005268453,0.000008366454,0.0001771705,0.00004043082,0.08452841,0.0006987758,0.9097579,0.004367081,0.0000139642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1785066,0.009531518,0.6856976,0.01512632,0.0004933196,0.00005636339,0.0005622006,0.0002930799,0.109733],"genre_scores_gemma":[0.9542459,0.003417434,0.02716887,0.0007756103,0.0006939601,0.00009244704,0.0001717899,0.0001159515,0.01331814],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003675698,"threshold_uncertainty_score":0.0155068,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03839861847578861,"score_gpt":0.1888348938484233,"score_spread":0.1504362753726347,"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."}}