{"id":"W4211253693","doi":"10.1090/crmp/054","title":"Corrigendum to our paper: Birational transformations of weighted graphs","year":2009,"lang":"en","type":"book","venue":"ArXiv.org","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University; University of Ottawa","funders":"","keywords":"Corollary; Affine transformation; Mathematics; Algebraic geometry; Algebraic number; Dimension of an algebraic variety; Affine geometry; Algebraic surface; Affine geometry of curves; Function field of an algebraic variety; Geometry; Algebra over a field; Pure mathematics; Affine space; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002398392,0.0002670171,0.0003381414,0.000312028,0.0001515755,0.00004459988,0.001010352,0.000199611,0.000178292],"category_scores_gemma":[0.00001245975,0.000247159,0.0002198947,0.000359568,0.00002673845,0.0004585948,0.00006599677,0.0002729193,0.0004104961],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000455527,"about_ca_system_score_gemma":0.0003448389,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003541089,"about_ca_topic_score_gemma":0.000008692214,"domain_scores_codex":[0.998431,0.00005790271,0.0005010908,0.0003677422,0.0003822678,0.0002599437],"domain_scores_gemma":[0.9988586,0.00003321937,0.0001869237,0.0006023411,0.0001664885,0.000152462],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001581086,0.000151293,0.0002020853,0.00008453164,0.0001005826,0.00001523118,0.001051775,0.00003600475,0.0002402218,0.7865552,0.1842179,0.02732933],"study_design_scores_gemma":[0.0005654513,0.0004718126,0.003346077,0.000227581,0.00006274196,0.00002254817,0.00002852547,0.001293828,0.001336578,0.1653921,0.8263735,0.000879278],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.002502591,0.0007280417,0.3307659,0.004963135,0.003930517,0.001430789,0.0002554914,0.0006409227,0.6547826],"genre_scores_gemma":[0.02338035,0.0001953742,0.01523582,0.002348166,0.0006435208,0.00005220622,0.0003029717,0.00005073463,0.9577909],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.6421556,"threshold_uncertainty_score":0.9999981,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02651915700252764,"score_gpt":0.2419135318220131,"score_spread":0.2153943748194854,"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."}}