{"id":"W2145256573","doi":"10.1145/1390768.1390806","title":"Power series composition and change of basis","year":2008,"lang":"en","type":"article","venue":"","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Composition (language); Series (stratigraphy); Power series; Power (physics); Class (philosophy); Basis (linear algebra)","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":[0.00002522006,0.00003294985,0.0000523779,0.00003188382,0.00004268775,0.000008616136,0.0000722845,0.0000115029,0.00001250527],"category_scores_gemma":[0.000001322655,0.00002784712,0.00001211756,0.00008162919,0.00003129719,0.0003562472,0.00005977902,0.00001380223,0.000004414607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003022603,"about_ca_system_score_gemma":0.000006221781,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003147893,"about_ca_topic_score_gemma":0.000001879938,"domain_scores_codex":[0.999738,0.000009513267,0.00006247679,0.00008006022,0.00005857206,0.00005142764],"domain_scores_gemma":[0.9998523,0.00001338535,0.00002187586,0.00007005137,0.00001959985,0.00002276767],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00006051646,0.0003835325,0.01880516,0.00007527763,0.00005599636,0.00005758519,0.0329661,0.00002323007,0.0424098,0.6781954,0.005193032,0.2217744],"study_design_scores_gemma":[0.0007471394,0.0004762066,0.8822807,0.00003493031,0.000004644781,0.0002953298,0.00006461138,0.01506314,0.08816064,0.01011234,0.002386875,0.0003734511],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9083838,0.00007119078,0.0874809,0.00143306,0.00009792564,0.00005277933,7.581583e-7,0.00005737616,0.002422181],"genre_scores_gemma":[0.9891158,0.00001447985,0.01056094,0.0001974772,0.00001537915,0.00000193406,5.62332e-7,0.000001030655,0.00009236587],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8634755,"threshold_uncertainty_score":0.1135572,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02087364461891764,"score_gpt":0.2178646162691596,"score_spread":0.196990971650242,"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."}}