{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002777836,0.00005731799,0.00008922866,0.000126809,0.0001165374,0.00004966561,0.0004183266,0.00001355696,0.00002088376],"category_scores_gemma":[0.00001235669,0.00005708325,0.00003388651,0.0004687048,0.000006680842,0.0001655783,0.0002722209,0.00006938433,0.000001325571],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009267581,"about_ca_system_score_gemma":0.00006512429,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008086453,"about_ca_topic_score_gemma":0.00000599566,"domain_scores_codex":[0.9993812,0.00003296675,0.0001318239,0.0001864674,0.0001179251,0.0001496074],"domain_scores_gemma":[0.9996853,0.00008781938,0.00003263474,0.0001492184,0.00001908988,0.00002587965],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000005942879,0.0001263254,0.0003524616,0.000007847067,0.000004916124,0.00000503002,0.000210715,0.0009613475,0.0001342788,0.9690998,0.003822432,0.02526892],"study_design_scores_gemma":[0.0003287844,0.0001705149,0.0007198177,0.000002411053,0.000001787639,0.00000795609,0.00002020164,0.572508,0.001011973,0.4110796,0.01400952,0.0001394483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.010984,0.00001772229,0.9844564,0.001064339,0.0002662393,0.0002547646,0.000002540886,0.0002025447,0.002751512],"genre_scores_gemma":[0.9534479,0.000001002806,0.04492553,0.0004535358,0.00002156,0.0001172156,0.00000410465,0.000003809261,0.001025338],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9424639,"threshold_uncertainty_score":0.2327787,"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."}}