{"id":"W4296916461","doi":"10.1016/j.jsc.2023.102234","title":"Computing roadmaps in unbounded smooth real algebraic sets I: Connectivity results","year":2023,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"European Commission; Natural Sciences and Engineering Research Council of Canada; Austrian Science Fund; Agence Nationale de la Recherche; European Office of Aerospace Research and Development; Air Force Office of Scientific Research","keywords":"Mathematics; Bounded function; Algebraic number; Real algebraic geometry; Intersection (aeronautics); Computation; Dimension (graph theory); Set (abstract data type); Connected component; Robotics; Polynomial; Algebra over a field; Discrete mathematics; Theoretical computer science; Algorithm; Pure mathematics; Robot; Computer science; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001921493,0.0002030043,0.0004366956,0.0009201147,0.0001519147,0.000226343,0.0005736348,0.00009143131,0.000001503734],"category_scores_gemma":[0.0002614836,0.0001970514,0.0001443733,0.002001036,0.00004443534,0.000807366,0.0002196907,0.0003508971,0.00004146916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002093543,"about_ca_system_score_gemma":0.0003142195,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001567705,"about_ca_topic_score_gemma":0.00005640053,"domain_scores_codex":[0.9972694,0.0003008592,0.001099563,0.0003476209,0.0005813942,0.0004011906],"domain_scores_gemma":[0.9977687,0.0007794526,0.0008323492,0.000205298,0.0002606793,0.0001534981],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001961246,0.0003134189,0.00340629,0.0000615791,0.00008140702,0.0004118411,0.01253687,0.191063,0.001762314,0.01538024,0.003540027,0.7712469],"study_design_scores_gemma":[0.002162815,0.0002214052,0.3568504,0.0001341981,0.000007792203,0.0001140368,0.0001337399,0.5979978,0.000194535,0.04179373,0.0001628696,0.0002266412],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8619494,0.00003488473,0.1341224,0.001898412,0.001090403,0.0001500069,0.000002639013,0.0001635217,0.0005883301],"genre_scores_gemma":[0.9944229,0.00002728821,0.005116845,0.0001179,0.0002668801,0.000001232915,0.0000119215,0.00001364264,0.00002138248],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7710202,"threshold_uncertainty_score":0.8035523,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02300647098096955,"score_gpt":0.289408828303634,"score_spread":0.2664023573226644,"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."}}