{"id":"W4414210097","doi":"10.2139/ssrn.5458382","title":"Higher-Order Transformer Derivative Estimates and Applications to Pathwise Generalization Bounds","year":2025,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Image and Signal Denoising Methods","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto; McMaster University","funders":"","keywords":"Transformer; Markov chain; Upper and lower bounds; Current transformer; Second derivative","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005703059,0.001594741,0.001148548,0.002989065,0.0006782005,0.002744197,0.001555259,0.002051407,0.006958858],"category_scores_gemma":[0.01635786,0.0006741526,0.001619578,0.002145127,0.002989714,0.006069793,0.003680145,0.005418698,0.001419034],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001471114,"about_ca_system_score_gemma":0.0009231591,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001554825,"about_ca_topic_score_gemma":0.001864762,"domain_scores_codex":[0.9989852,0.0004006013,0.0000686709,0.0001805591,0.0002779668,0.00008687232],"domain_scores_gemma":[0.9929926,0.004470553,0.0004418954,0.0007917653,0.001024531,0.0002785893],"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":[0.00008991196,0.00006939725,0.0005493831,0.0001885197,0.00004988325,0.0001498636,0.0002396692,0.05918902,0.008049282,0.8650577,0.003062022,0.06330539],"study_design_scores_gemma":[0.000007739845,0.00004340838,0.0003039118,0.00003791823,0.00002864854,0.0001621436,0.00003770616,0.6002653,0.003990234,0.3904418,0.004648703,0.00003244933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.006947651,0.0009404278,0.9868425,0.0004067203,0.0001311139,0.00001860474,0.00005298401,0.0001584063,0.004501715],"genre_scores_gemma":[0.3718982,0.007917017,0.5763735,0.0008321195,0.00102655,0.0001720047,0.0004896653,0.001016073,0.04027494],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006958858,"threshold_uncertainty_score":0.03016102,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01542607881289877,"score_gpt":0.3011804275718631,"score_spread":0.2857543487589643,"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."}}