{"id":"W2952957182","doi":"10.48550/arxiv.1808.07230","title":"Explicit bounds for separation between Oseledets subspaces","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Injective function; Banach space; Pure mathematics; Bijection; Separable space; Bounded function; Invertible matrix; Discrete mathematics; Mathematical analysis","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":[0.0005437278,0.0004736538,0.0007159626,0.0001570199,0.000229169,0.0001076873,0.0008611201,0.0004844741,0.0001179849],"category_scores_gemma":[0.0003509304,0.00052079,0.000414982,0.0002837975,0.0001974519,0.0002143041,0.0004691643,0.0004371933,0.0001891929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002947102,"about_ca_system_score_gemma":0.0001078002,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001173211,"about_ca_topic_score_gemma":0.00002370531,"domain_scores_codex":[0.9979949,0.0001351358,0.0003667108,0.0008877321,0.0001369768,0.0004785715],"domain_scores_gemma":[0.9966828,0.001334524,0.0004769731,0.001121948,0.0002135169,0.0001702878],"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":[0.00006953908,0.0001394023,0.0002755279,0.0004785371,0.0002781416,0.000008541175,0.0004671627,0.0003645814,0.0001279624,0.9950352,0.002719935,0.00003549085],"study_design_scores_gemma":[0.0004470907,0.0001211245,0.00006928172,0.0001545796,0.0004689334,7.831893e-7,0.0001266019,0.009937729,0.003137692,0.984499,0.0004859621,0.000551208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6404592,0.000008342173,0.3514732,0.00004646473,0.0002395513,0.0008791987,0.00007032836,0.0002382357,0.006585507],"genre_scores_gemma":[0.9905089,0.00001521053,0.005368146,0.00002587377,0.0007759486,0.00001001007,0.00006688332,0.00008652178,0.003142518],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3500496,"threshold_uncertainty_score":0.9997244,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2344896676619713,"score_gpt":0.2986158855052304,"score_spread":0.06412621784325911,"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."}}