{"id":"W2161830793","doi":"10.1016/j.jat.2004.07.007","title":"Approximation with scaled shift-invariant spaces by means of quasi-projection operators","year":2004,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":67,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Projection (relational algebra); Lipschitz continuity; Operator theory; Spline (mechanical); Smoothness; Wavelet; Invariant (physics); Minimax approximation algorithm; Mathematical analysis; Applied mathematics; Algorithm; Computer science; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007134107,0.0001729398,0.0003718255,0.0002780772,0.00004837203,0.00003412199,0.0001595218,0.00008653081,0.00002200566],"category_scores_gemma":[0.00007595186,0.0001280589,0.0001055165,0.0005093391,0.00007937944,0.0007095927,0.00001098635,0.0002300769,0.000002494106],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001767772,"about_ca_system_score_gemma":0.0000358687,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006559101,"about_ca_topic_score_gemma":0.000003241962,"domain_scores_codex":[0.9986491,0.00008780361,0.000625774,0.0001122574,0.0003797238,0.0001453663],"domain_scores_gemma":[0.9990736,0.00006105708,0.000449504,0.0001575887,0.0001882999,0.00006989991],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.001365253,0.00148086,0.0003868106,0.0009646884,0.00126361,0.00002026571,0.007010271,0.4567382,0.271677,0.2154224,0.0006130759,0.04305749],"study_design_scores_gemma":[0.002264149,0.001366702,0.0002150908,0.0004958826,0.0003131217,0.0001016595,0.002270681,0.03787531,0.7590185,0.1952176,0.0002912065,0.0005701265],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1363544,0.0001871218,0.8624765,0.00009908301,0.00004489451,0.0001652681,0.000003974756,0.0001043622,0.0005643845],"genre_scores_gemma":[0.9087319,0.00007077499,0.09106835,0.00001989901,0.00005177856,0.00001083296,0.000007055056,0.00003041939,0.000008977387],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7723775,"threshold_uncertainty_score":0.5222092,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004930028253939086,"score_gpt":0.2158408961978694,"score_spread":0.2109108679439304,"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."}}