{"id":"W4378191775","doi":"10.1109/synasc57785.2022.00014","title":"Homotopy Techniques for Analytic Combinatorics in Several Variables","year":2022,"lang":"en","type":"article","venue":"","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"National Science Foundation","keywords":"Homotopy; Dimension (graph theory); Heuristic; Mathematics; Homotopy analysis method; Selection (genetic algorithm); Continuation; Algebra over a field; Computer science; Mathematical optimization; Combinatorics; Pure mathematics; Artificial intelligence","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":[0.002015911,0.001014767,0.000829279,0.001920871,0.001097618,0.002358293,0.00224076,0.0009914903,0.02149427],"category_scores_gemma":[0.008599264,0.0005186655,0.001267532,0.001469191,0.001703558,0.004269793,0.003126912,0.003847007,0.006697903],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001000021,"about_ca_system_score_gemma":0.00143682,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001451502,"about_ca_topic_score_gemma":0.002287672,"domain_scores_codex":[0.999241,0.0001890013,0.00005584317,0.0001093403,0.0003146679,0.00009008888],"domain_scores_gemma":[0.9975261,0.001347081,0.0001020076,0.0006130286,0.0003377098,0.0000739897],"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":[0.00008073033,0.00009585583,0.001327684,0.0003316628,0.00005310611,0.0001651989,0.0005026637,0.030182,0.004327134,0.7505917,0.008682512,0.2036599],"study_design_scores_gemma":[0.00005243893,0.00004680274,0.0002470897,0.0001135258,0.00002549204,0.0001320173,0.000114104,0.2696272,0.008977899,0.6854385,0.03518466,0.00004017942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00431891,0.00007391592,0.9838418,0.000125096,0.0000567119,0.00004229376,0.00008812969,0.004318706,0.007134573],"genre_scores_gemma":[0.1225785,0.0002504086,0.866491,0.0001617003,0.0001033365,0.000249617,0.0003552075,0.003460489,0.006349729],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02149427,"threshold_uncertainty_score":0.07190549,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0113125527770454,"score_gpt":0.2381858015994502,"score_spread":0.2268732488224048,"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."}}