{"id":"W2912158652","doi":"10.1016/j.jat.2010.06.007","title":"Triangular expansions","year":2010,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Operator (biology); Applied mathematics; Linear operators; Type (biology); Mathematical analysis","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":[0.002568725,0.00007240659,0.0001370444,0.0001622271,0.0000871606,0.00008531458,0.0006371065,0.00005486556,0.0001371565],"category_scores_gemma":[0.0002969454,0.00005380344,0.0001137689,0.000202835,0.0000416308,0.0007185232,0.00005253468,0.0003133587,0.00003188305],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007847053,"about_ca_system_score_gemma":0.00006848649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.399105e-7,"about_ca_topic_score_gemma":1.11946e-7,"domain_scores_codex":[0.9990658,0.000161226,0.0003414346,0.00008490515,0.0002367958,0.0001098266],"domain_scores_gemma":[0.9988963,0.000217149,0.0003432154,0.0002887704,0.0001629617,0.00009162042],"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":[0.00001736549,0.00005427945,0.000003522171,0.000004828165,0.00001137273,0.00001021236,0.0005694677,0.00001714667,0.01427351,0.9336042,0.0002637637,0.05117029],"study_design_scores_gemma":[0.000590076,0.00008460052,0.0001108391,0.00001566001,0.00001154781,0.0003284045,0.0001415497,0.005703859,0.02521218,0.9609228,0.006770342,0.0001081235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05390437,0.00005891838,0.9411749,0.0006550412,0.001114877,0.00006141899,5.69585e-7,0.00003263412,0.002997278],"genre_scores_gemma":[0.7420111,0.000008603773,0.2567088,0.0002816431,0.000500747,0.000002413484,5.02514e-7,0.000008577332,0.0004776139],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6881067,"threshold_uncertainty_score":0.2194041,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008481458228009086,"score_gpt":0.2407388875432381,"score_spread":0.232257429315229,"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."}}