{"id":"W1965477500","doi":"10.5539/jmr.v5n1p114","title":"Note on the Rademacher-Walsh Polynomial Basis Functions","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Algorithms and Data Compression","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Basis (linear algebra); Polynomial; Walsh function; Function (biology); Kernel (algebra); Basis function; Set (abstract data type); Polynomial basis; Kernel density estimation; Probability density function; Discrete mathematics; Applied mathematics; Algorithm; Computer science; Statistics; Mathematical analysis; Estimator","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.005410702,0.001332831,0.0009160732,0.001966989,0.0009254242,0.00211007,0.001429001,0.002116806,0.003647744],"category_scores_gemma":[0.02188835,0.0007659693,0.001185113,0.002004813,0.004764002,0.005506252,0.002902232,0.01000047,0.00264677],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001185878,"about_ca_system_score_gemma":0.0009356234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002325807,"about_ca_topic_score_gemma":0.001190956,"domain_scores_codex":[0.9970226,0.00115327,0.000147536,0.000438115,0.001072303,0.0001661876],"domain_scores_gemma":[0.992425,0.00560286,0.0001820102,0.0009342465,0.0007227501,0.0001332548],"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":[0.00003689001,0.00001155328,0.0001115645,0.00005959805,0.00000849245,0.0001138882,0.00009427726,0.008341036,0.0008870671,0.9598228,0.004527571,0.02598534],"study_design_scores_gemma":[0.00001408679,0.00007335938,0.0003276181,0.0001655832,0.00002023491,0.0004646191,0.00003996556,0.1648111,0.003200934,0.7747329,0.05607033,0.00007918293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004059934,0.00701203,0.9553475,0.003178526,0.001555056,0.00002978907,0.0001153851,0.0001871603,0.02851471],"genre_scores_gemma":[0.2253946,0.02072785,0.7091794,0.004010652,0.006605917,0.0003388242,0.0003612121,0.0005481396,0.03283342],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005410702,"threshold_uncertainty_score":0.02861488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1189870925421049,"score_gpt":0.3726694043880742,"score_spread":0.2536823118459692,"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."}}