{"id":"W4416091725","doi":"10.48550/arxiv.2505.05409","title":"Hide &amp; Seek: Transformer Symmetries Obscure Sharpness &amp; Riemannian Geometry Finds It","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Generative Adversarial Networks and Image Synthesis","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Geodesic; Homogeneous space; Quotient; Diagonal; Transformer; Manifold (fluid mechanics); Robustness (evolution)","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001101047,0.000916533,0.001192125,0.0006707503,0.000511679,0.0006267026,0.00324683,0.0008223034,0.0003204215],"category_scores_gemma":[0.0005526804,0.0008611183,0.0007379923,0.001683813,0.0002452085,0.000747039,0.001541306,0.001568554,0.0006480829],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001576871,"about_ca_system_score_gemma":0.0006042712,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003717652,"about_ca_topic_score_gemma":0.0004600102,"domain_scores_codex":[0.9948976,0.0004033821,0.001071715,0.00194179,0.0006659284,0.001019585],"domain_scores_gemma":[0.9955895,0.0004686791,0.0004197143,0.002584715,0.0006126698,0.000324704],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001812424,0.001392513,0.416562,0.00239402,0.004215744,0.0001723472,0.01008583,0.02636105,0.001826126,0.005574489,0.3881265,0.1431081],"study_design_scores_gemma":[0.001158227,0.00009430137,0.1247434,0.001282302,0.0004348218,0.00001595044,0.0001506243,0.004403356,0.005454649,0.003020991,0.8563074,0.002933994],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07698695,0.002320928,0.8955585,0.009252817,0.006162699,0.0008122396,0.0001918144,0.0004158928,0.008298147],"genre_scores_gemma":[0.8683477,0.001817739,0.06592339,0.005370302,0.002238891,0.0002512844,0.0004202993,0.0001064174,0.055524],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8296351,"threshold_uncertainty_score":0.9993839,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0570234197663034,"score_gpt":0.290597072295874,"score_spread":0.2335736525295706,"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."}}