{"id":"W4224214014","doi":"10.48550/arxiv.2204.08404","title":"Low Degree Testing over the Reals","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Machine Learning and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Simons Institute for the Theory of Computing, University of California Berkeley; Ministry of Education, India","keywords":"Degree (music); Polynomial; Combinatorics; Mathematics; Logarithm; Discrete mathematics; Function (biology); Rational function; Distribution (mathematics); Set (abstract data type); Physics; Pure mathematics; Mathematical analysis; Computer science","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":[0.006915742,0.001229973,0.002055736,0.001570652,0.001408942,0.003373172,0.003139496,0.001659095,0.004679701],"category_scores_gemma":[0.06337252,0.0005898932,0.001458524,0.001836699,0.004595207,0.008264502,0.003649257,0.00422665,0.001106711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003417591,"about_ca_system_score_gemma":0.001556553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002638982,"about_ca_topic_score_gemma":0.001607501,"domain_scores_codex":[0.9928594,0.002781364,0.000265672,0.001818117,0.001420977,0.0008544794],"domain_scores_gemma":[0.8936314,0.08982811,0.005027074,0.007426077,0.002080696,0.002006599],"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":[0.004762813,0.0005650995,0.02982268,0.001143516,0.0004358122,0.0007748895,0.001337015,0.2265899,0.01618875,0.5816472,0.01605461,0.1206778],"study_design_scores_gemma":[0.0002525588,0.0002649474,0.002984289,0.00005084564,0.00008029392,0.0003294893,0.0001340125,0.5084051,0.005282297,0.479714,0.002446439,0.00005571141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.57297,0.00178601,0.3999005,0.01117822,0.0001537419,0.0001127745,0.001740491,0.002036775,0.01012151],"genre_scores_gemma":[0.9788976,0.0003609381,0.01654086,0.0005652304,0.0002982411,0.00007334357,0.0006021289,0.0001375743,0.002524097],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006915742,"threshold_uncertainty_score":0.03657442,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1082289908068218,"score_gpt":0.2066954899062396,"score_spread":0.09846649909941778,"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."}}