{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005557905,0.0002607495,0.0002297125,0.0001448128,0.0004957243,0.0001933754,0.003199931,0.0001149745,0.0001689022],"category_scores_gemma":[0.0001513456,0.0002324211,0.0001738244,0.0008237137,0.0000777001,0.000165687,0.005073098,0.001353751,0.00006809481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001407072,"about_ca_system_score_gemma":0.0001918016,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006968141,"about_ca_topic_score_gemma":0.00001821065,"domain_scores_codex":[0.9980569,0.0003331549,0.0001573505,0.000949234,0.000151498,0.0003518432],"domain_scores_gemma":[0.9975666,0.0004247925,0.000269701,0.001558467,0.00007747502,0.0001029573],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009460046,0.0001143766,0.01651918,0.00008082369,0.0001071947,0.0008565644,0.0005634042,0.8487254,0.00001660578,0.1089998,0.0020613,0.02194596],"study_design_scores_gemma":[0.0002122581,0.00004818143,0.01442655,0.00005056266,0.00003052685,0.00001016499,0.00004839841,0.9618647,0.000009977908,0.01906355,0.00386037,0.0003747773],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3248453,0.0001111412,0.6257333,0.0005791496,0.001934937,0.0004408884,0.00002095097,0.0009146549,0.04541972],"genre_scores_gemma":[0.9895958,0.00002778823,0.003195935,0.0002740127,0.0001714071,0.00000121232,0.00000838394,0.00001963889,0.006705863],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6647505,"threshold_uncertainty_score":0.9477859,"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."}}