{"id":"W2041488069","doi":"10.4153/cjm-2005-018-x","title":"Approximating Flats by Periodic Flats in CAT(0) Square Complexes","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Square (algebra); Cover (algebra); Plane (geometry); Limit (mathematics); Connection (principal bundle); Pure mathematics; Geometry; Combinatorics; 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":[],"consensus_categories":[],"category_scores_codex":[0.0006304029,0.0001273188,0.0003576527,0.0005695618,0.0001184119,0.0002137276,0.001007396,0.00006409901,0.0001344007],"category_scores_gemma":[0.0003276561,0.0001009583,0.0001039711,0.0009278624,0.00006702275,0.00040658,0.00004695521,0.0001862991,0.00004582965],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001539502,"about_ca_system_score_gemma":0.0002770923,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006793717,"about_ca_topic_score_gemma":0.005773231,"domain_scores_codex":[0.9985479,0.00004226731,0.0006597163,0.0001398919,0.0002589474,0.0003513248],"domain_scores_gemma":[0.9986853,0.0001404213,0.0003313037,0.0002885923,0.0001006374,0.0004537193],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009303201,0.001335816,0.04555007,0.0007317354,0.0005583151,0.001998912,0.04745675,0.007734757,0.002053075,0.2005495,0.1364244,0.5555974],"study_design_scores_gemma":[0.004379653,0.001106285,0.02413312,0.00147837,0.0002843204,0.00349946,0.009813907,0.6710287,0.002826685,0.09043618,0.1878572,0.00315605],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7287753,0.002065455,0.2606132,0.005240022,0.0001965917,0.0001611721,0.00005398267,0.00002851892,0.002865766],"genre_scores_gemma":[0.8517494,0.00001273709,0.1477744,0.0002486176,0.00006899046,0.000001124763,0.000003205313,0.000006274254,0.000135306],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.663294,"threshold_uncertainty_score":0.4116959,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01914328778375461,"score_gpt":0.2331926216344129,"score_spread":0.2140493338506583,"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."}}