{"id":"W3102520527","doi":"10.48550/arxiv.1904.09526","title":"Constructive Polynomial Partitioning for Algebraic Curves in\\n $\\\\mathbb{R}^3$ with Applications","year":2019,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Israel Science Foundation; United States - Israel Binational Science Foundation; National Science Foundation","keywords":"Mathematics; Bounded function; Degree (music); Combinatorics; Polynomial; Integer (computer science); Algebraic number; Discrete mathematics; Algebraic curve","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000740758,0.001094659,0.001198389,0.001043357,0.001839119,0.002815083,0.001898488,0.0008421788,0.008648518],"category_scores_gemma":[0.003472933,0.0006256078,0.001656511,0.002260001,0.002251182,0.004799764,0.005278967,0.003998825,0.00342075],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002686009,"about_ca_system_score_gemma":0.001180817,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002908912,"about_ca_topic_score_gemma":0.004374982,"domain_scores_codex":[0.9986424,0.0002129955,0.0000663016,0.0003752167,0.0004438839,0.0002591635],"domain_scores_gemma":[0.9984136,0.000751539,0.0001009629,0.0004415431,0.0001603393,0.0001320329],"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":[0.0004411309,0.0001882884,0.001727526,0.0004890993,0.00004887382,0.0003203975,0.001067445,0.04182437,0.01316895,0.7530929,0.01365378,0.1739772],"study_design_scores_gemma":[0.0001025197,0.0001239113,0.0006327725,0.000102632,0.0000456685,0.0003537373,0.0004424347,0.1657414,0.01411915,0.7731085,0.04515541,0.00007190456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1799387,0.001675226,0.7647426,0.002287756,0.0001861947,0.0002565562,0.0008053472,0.004058372,0.04604931],"genre_scores_gemma":[0.5785031,0.0009358495,0.3975977,0.0005598994,0.0001928938,0.000278236,0.00224661,0.000930123,0.01875558],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008648518,"threshold_uncertainty_score":0.02893215,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02715159971187556,"score_gpt":0.168326429779274,"score_spread":0.1411748300673984,"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."}}