{"id":"W4415402683","doi":"10.36227/techrxiv.176105775.53383012/v1","title":"Neural FIM: Bridging Statistical Manifolds and Generative Modeling through Fisher Geometry","year":2025,"lang":"","type":"preprint","venue":"","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Mila - Quebec Artificial Intelligence Institute","funders":"","keywords":"Bridging (networking); Generative grammar; Information geometry; Statistical manifold; Differential geometry; Generative model; Manifold (fluid mechanics); Statistical model","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002457413,0.001228465,0.001679132,0.0003869318,0.0002914954,0.000352982,0.0005378609,0.0006989124,0.000777688],"category_scores_gemma":[0.0001990073,0.001257658,0.0003234602,0.0007259403,0.0001776046,0.0005190376,0.001822455,0.002067687,0.00001722712],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004052509,"about_ca_system_score_gemma":0.00006336791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008245618,"about_ca_topic_score_gemma":0.00004498436,"domain_scores_codex":[0.9952538,0.0001543418,0.001268329,0.001766372,0.0005534975,0.001003645],"domain_scores_gemma":[0.9980441,0.0003803363,0.0001647184,0.0009064054,0.0002315776,0.0002729025],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002453662,0.00005979085,0.0001432229,0.0005899964,0.0006500413,0.00005586942,0.000231109,0.9493206,0.0003699508,0.009257643,0.001351928,0.03794531],"study_design_scores_gemma":[0.0002314113,0.00005040314,0.0000547884,0.0002529621,0.0004433248,0.00001347394,0.0001118256,0.9743523,0.001484787,0.0211951,0.000612121,0.001197486],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00901138,0.001782104,0.9777534,0.000721844,0.0003790367,0.0006027115,0.000283791,0.0009738725,0.00849188],"genre_scores_gemma":[0.4775802,0.002809,0.5162749,0.0005906036,0.0003190391,0.0001109051,0.0001889554,0.0001065711,0.002019845],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4685689,"threshold_uncertainty_score":0.9989873,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02222342804509476,"score_gpt":0.2928860370193004,"score_spread":0.2706626089742057,"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."}}