{"id":"W4416434978","doi":"10.48550/arxiv.2511.01154","title":"Stability of the Kim--Milman flow map","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Yale University","keywords":"Stability (learning theory); Flow (mathematics); Ode; Flow map; Fisher information","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":[0.001127207,0.0007198917,0.0005556833,0.001559867,0.001147631,0.001911714,0.0008633232,0.00103987,0.003617991],"category_scores_gemma":[0.005666374,0.0002828724,0.000692229,0.0005388033,0.001677791,0.003197981,0.001873066,0.001232362,0.0004634552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00148347,"about_ca_system_score_gemma":0.0009498888,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001845785,"about_ca_topic_score_gemma":0.0008607747,"domain_scores_codex":[0.9996092,0.00009021555,0.00001656722,0.0001047259,0.0001146003,0.00006476323],"domain_scores_gemma":[0.9986065,0.0005104592,0.0002918669,0.0000847149,0.00028564,0.000220891],"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":[0.0001006035,0.00002673214,0.001180348,0.00006412525,0.00002636774,0.0001469633,0.0002282444,0.02857268,0.007627684,0.9526685,0.001180249,0.008177572],"study_design_scores_gemma":[0.00001346438,0.0001021077,0.001139255,0.00002874826,0.00001453815,0.0001721487,0.000115204,0.4028818,0.003518304,0.5901485,0.001813809,0.00005224158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.5271695,0.0008527944,0.4341817,0.00204256,0.0002275299,0.0001019611,0.0004874434,0.0003745733,0.03456196],"genre_scores_gemma":[0.9739435,0.0004043248,0.0146932,0.000165547,0.0001253736,0.00007555363,0.0001563611,0.00008270536,0.01035339],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.003617991,"threshold_uncertainty_score":0.01210344,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06473572229102778,"score_gpt":0.2875225998849825,"score_spread":0.2227868775939547,"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."}}