{"id":"W2773477893","doi":"","title":"Complexity of Homotopy for the Eigenvalue Problem I","year":2014,"lang":"en","type":"article","venue":"Foundations of Computational Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Homotopy analysis method; Eigenvalues and eigenvectors; Homotopy; Numerical analysis; Homotopy perturbation method; Applied mathematics; Algebra over a field; Calculus (dental); Mathematical analysis; Pure mathematics","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":[0.001107296,0.0007310633,0.00126431,0.001711586,0.001824159,0.00394569,0.001669936,0.001940395,0.01198304],"category_scores_gemma":[0.008612087,0.0003899951,0.001273198,0.001133684,0.003239982,0.00835751,0.003684884,0.003924184,0.0007030952],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001663023,"about_ca_system_score_gemma":0.0009751948,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001355264,"about_ca_topic_score_gemma":0.0009419238,"domain_scores_codex":[0.9989176,0.0002843117,0.00005265994,0.0001977964,0.00039836,0.0001493635],"domain_scores_gemma":[0.9929442,0.005457977,0.0004193609,0.0003784373,0.0003963412,0.0004037153],"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":[0.00003495602,0.0000338912,0.0003329611,0.00006019014,0.00001310316,0.00005766666,0.0001580369,0.005855132,0.000407501,0.9869486,0.001567931,0.004530061],"study_design_scores_gemma":[0.000005689223,0.000005250819,0.00009831713,0.000004687769,0.000002589326,0.00001736299,0.00003590217,0.01887018,0.00008948327,0.98046,0.0004045554,0.000005880767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4158398,0.002124522,0.4560208,0.01078507,0.0005911561,0.0001162527,0.0007060135,0.0003574133,0.1134591],"genre_scores_gemma":[0.9548224,0.0008701353,0.02548496,0.0004611065,0.0006973144,0.0001635237,0.0006079653,0.000132878,0.01675969],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01198304,"threshold_uncertainty_score":0.04008722,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1354589906913145,"score_gpt":0.3556903730761997,"score_spread":0.2202313823848852,"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."}}