{"id":"W2775193673","doi":"10.1016/j.acha.2017.12.001","title":"Derivative-orthogonal Riesz wavelets in Sobolev spaces with applications to differential equations","year":2017,"lang":"en","type":"article","venue":"Applied and Computational Harmonic Analysis","topic":"Image and Signal Denoising Methods","field":"Computer Science","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Sobolev space; Wavelet; M. Riesz extension theorem; Hermite polynomials; Riesz transform; Riesz potential; Mathematical analysis; Order (exchange); Riesz representation theorem; Sobolev inequality; Function space; Pure mathematics; Orthogonality; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002543318,0.001180403,0.001080342,0.002270037,0.0005792124,0.001963012,0.0008293194,0.002019351,0.001663911],"category_scores_gemma":[0.007507617,0.000535129,0.001031532,0.002178193,0.002452207,0.002428661,0.00246498,0.003651734,0.0004133622],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006689803,"about_ca_system_score_gemma":0.0008329545,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001200418,"about_ca_topic_score_gemma":0.001077761,"domain_scores_codex":[0.9994231,0.0002778662,0.00004952704,0.00007001693,0.0001335888,0.00004582508],"domain_scores_gemma":[0.9972543,0.001544518,0.0002362655,0.0001523283,0.0005692399,0.0002434766],"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":[0.00004604452,0.00004806877,0.0003217,0.0001849199,0.00003288972,0.0001295285,0.0002741313,0.01640245,0.003372053,0.9449346,0.002064627,0.03218891],"study_design_scores_gemma":[0.00001655226,0.00003414116,0.0003347767,0.00005249158,0.00002248492,0.0001513748,0.0001159589,0.3068289,0.0007859672,0.6844765,0.007152498,0.00002840867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02182014,0.01015877,0.9567171,0.001832018,0.0008562083,0.0000261509,0.00008818583,0.00008624362,0.008415152],"genre_scores_gemma":[0.4994771,0.02818323,0.4403064,0.0008796458,0.002950091,0.0001825851,0.0003525776,0.0003741183,0.02729419],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002543318,"threshold_uncertainty_score":0.0134505,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02572222599490448,"score_gpt":0.2935665326832449,"score_spread":0.2678443066883404,"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."}}