{"id":"W1556473760","doi":"10.1090/crmp/048/03","title":"Polyhedral representation conversion up to symmetries","year":2009,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":47,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Polyhedron; Generalization; Homogeneous space; Sketch; Representation (politics); Symmetry (geometry); Computer science; Decomposition; Algebra over a field; Mathematics; Algorithm; Theoretical computer science; Pure mathematics; Combinatorics; Geometry; 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":[0.0001785757,0.0004064755,0.0003591078,0.0007117431,0.0002594199,0.000483733,0.0005980122,0.0003493627,0.00005206583],"category_scores_gemma":[0.0003723516,0.0004029741,0.0001609728,0.0004400462,0.00003344664,0.0005390337,0.0002019815,0.0003590376,0.0001712986],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001285434,"about_ca_system_score_gemma":0.0001220143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007314984,"about_ca_topic_score_gemma":0.000001936701,"domain_scores_codex":[0.9978297,0.000005536274,0.0003552444,0.0008616128,0.0006489198,0.0002989567],"domain_scores_gemma":[0.998342,0.0001311741,0.0002629204,0.000231149,0.0008499143,0.0001828723],"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":[0.00003681127,0.00001047409,0.00002387784,0.00004707012,0.00003711038,0.00000536646,0.001143826,0.0003561534,0.001815791,0.8191411,0.002278974,0.1751034],"study_design_scores_gemma":[0.0003965299,0.000526146,0.0003776394,0.0002338763,0.00007025999,0.0000700538,0.00001411314,0.003462099,0.04789317,0.8281074,0.1178926,0.0009560593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001414957,0.001193756,0.6367744,0.01243972,0.002168635,0.001019476,0.0000124703,0.000700729,0.3442758],"genre_scores_gemma":[0.9665018,0.0001084793,0.008433701,0.006474094,0.002062203,0.00002173381,0.0001459039,0.00006749739,0.01618456],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9650869,"threshold_uncertainty_score":0.9998422,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02149822791285771,"score_gpt":0.2564316784570742,"score_spread":0.2349334505442165,"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."}}