{"id":"W3106100433","doi":"","title":"Generalizations of the Kolmogorov-Barzdin embedding estimates","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ambrose Monell Foundation; National Science Foundation","keywords":"Mathematics; Isotopy; Embedding; Simplicial complex; Distortion (music); Measure (data warehouse); Euclidean geometry; Hyperbolic space; Euclidean space; Space (punctuation); Pure mathematics; Discrete mathematics; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000103559,0.00005994613,0.0001108328,0.00005907577,0.00005607051,0.000003872395,0.0001669,0.00003826975,0.001407747],"category_scores_gemma":[0.0009680081,0.00002572851,0.00005418634,0.0002464291,0.00008519936,0.0000341908,0.00007393229,0.00002205144,0.00002303609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001094826,"about_ca_system_score_gemma":0.00001934987,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001421814,"about_ca_topic_score_gemma":0.000009650696,"domain_scores_codex":[0.9995033,0.00002219973,0.0001726909,0.00008452883,0.00009410047,0.0001232408],"domain_scores_gemma":[0.99912,0.00050144,0.00007584574,0.0002363914,0.00004412127,0.00002218942],"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":[8.117856e-7,0.00003376601,0.009275774,0.00001235646,0.00001884308,2.29693e-7,0.00008141455,0.000007135167,0.005013307,0.9737365,0.0101778,0.001642017],"study_design_scores_gemma":[0.0004230478,0.00002861713,0.004513584,0.00004334356,0.00004530192,0.00001397516,0.0001380317,0.0004375059,0.06942549,0.9227263,0.0020675,0.0001373296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7170638,0.00005870137,0.2572893,0.003587037,0.0003228257,0.0001765954,0.000009625604,0.0001045701,0.02138763],"genre_scores_gemma":[0.9716813,0.000005396283,0.01835979,0.00006628816,0.00002844773,0.000004661345,2.271164e-7,0.000008504206,0.009845412],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2546175,"threshold_uncertainty_score":0.9995051,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04361063450568507,"score_gpt":0.3234728387856076,"score_spread":0.2798622042799225,"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."}}