{"id":"W4289375650","doi":"10.4230/lipics.itcs.2025.20","title":"Estimating Euclidean Distance to Linearity","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Variation (astronomy); Upper and lower bounds; Mathematics; Constant (computer programming); Total variation; Statistics; Combinatorics; Physics; Computer science; Mathematical analysis; Astrophysics","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":[0.006876473,0.001119216,0.002045061,0.001407139,0.0007591217,0.002465141,0.003070283,0.001715191,0.004018046],"category_scores_gemma":[0.0860396,0.0007239684,0.001063315,0.00168935,0.002839137,0.006714506,0.004863241,0.003820483,0.001203021],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002602382,"about_ca_system_score_gemma":0.001730457,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00301267,"about_ca_topic_score_gemma":0.00213051,"domain_scores_codex":[0.9925832,0.003276819,0.0004573574,0.001766912,0.001331412,0.0005844057],"domain_scores_gemma":[0.9465553,0.04176495,0.002261278,0.005748094,0.002756751,0.0009135662],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001944,0.0003193083,0.02053204,0.0007564664,0.000324557,0.0002374578,0.0005552237,0.5220695,0.005515014,0.2723174,0.01294447,0.1624846],"study_design_scores_gemma":[0.00005030618,0.0001651891,0.00201456,0.00007223117,0.0000309769,0.0001344083,0.0001169839,0.8263439,0.003197096,0.1659738,0.001848571,0.00005194843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09347846,0.001894525,0.8959268,0.002001729,0.0001225469,0.00009799317,0.0007132443,0.0007514984,0.005013123],"genre_scores_gemma":[0.781298,0.001055701,0.2095187,0.0007039877,0.0003878892,0.0003616966,0.002230001,0.0002539028,0.004190102],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.006876473,"threshold_uncertainty_score":0.0363667,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2487698498265217,"score_gpt":0.3022221924911639,"score_spread":0.05345234266464227,"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."}}