{"id":"W2292182108","doi":"10.48550/arxiv.1112.5052","title":"A method to rigorously enclose eigendecompositions of interval matrices","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Interval (graph theory); Mathematics; Nonlinear system; Argument (complex analysis); Interval arithmetic; Set (abstract data type); Contraction (grammar); Applied mathematics; Pure mathematics; Algebra over a field; Mathematical analysis; Computer science; Combinatorics; Physics; Philosophy; Quantum mechanics","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":[0.000511774,0.000299099,0.0005294835,0.0004155513,0.00009582856,0.00006405381,0.002525829,0.0001938743,0.000066514],"category_scores_gemma":[0.00002468177,0.0003135003,0.0003525039,0.0009205918,0.00006384915,0.0002503972,0.003159342,0.0004339601,0.00007671727],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009858094,"about_ca_system_score_gemma":0.0001209287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006439802,"about_ca_topic_score_gemma":0.000009531404,"domain_scores_codex":[0.9977642,0.0004441265,0.0003109178,0.001033012,0.0001063135,0.0003414682],"domain_scores_gemma":[0.9978404,0.0002192851,0.0003282398,0.001118758,0.0001975712,0.000295719],"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":[0.00009536909,0.0008463718,0.0005743689,0.0002661975,0.0004665015,0.0005727766,0.002656926,0.02601654,0.001250725,0.8388914,0.0004286601,0.1279341],"study_design_scores_gemma":[0.0005656165,0.0005899769,0.001665861,0.0003183491,0.0002463808,0.00002756338,0.0001715139,0.2744059,0.007054602,0.7118353,0.001840951,0.00127805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01380737,0.00005935596,0.9810708,0.00008252179,0.0004673817,0.0002902439,0.0000301354,0.0001555156,0.004036652],"genre_scores_gemma":[0.3033478,0.00003852289,0.6960967,0.00009209479,0.00004897779,0.000001602214,0.000002480608,0.00001280569,0.0003590144],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2895404,"threshold_uncertainty_score":0.9999317,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1044123029806388,"score_gpt":0.2526498949516118,"score_spread":0.1482375919709731,"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."}}