{"id":"W4389149479","doi":"10.4153/s0008439523000929","title":"Truncations of generalized shift-invariant systems","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Invariant (physics); Pure mathematics; Mathematical physics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001965668,0.0002580976,0.0008113971,0.0004338007,0.0001536754,0.00006327632,0.0003907569,0.0001784392,0.01162249],"category_scores_gemma":[0.001769254,0.0002061548,0.0002991229,0.0008443086,0.0001368777,0.00003024938,0.00003417354,0.0001790668,0.005733345],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008023399,"about_ca_system_score_gemma":0.0001909641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001122994,"about_ca_topic_score_gemma":0.0006073645,"domain_scores_codex":[0.9973704,0.0002196795,0.001019495,0.0003101865,0.0004546432,0.0006255466],"domain_scores_gemma":[0.9968473,0.001530723,0.0001629562,0.000673438,0.0001251164,0.0006604943],"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":[0.000003212636,0.00006544234,0.000009831382,0.0007200693,0.000106081,0.0000228655,0.0004077471,0.00002612611,0.00006731627,0.9831239,0.01528052,0.0001668657],"study_design_scores_gemma":[0.0003911325,0.00003317538,0.00007133375,0.0002303251,0.0002113188,0.00001252071,0.0002918526,0.009920938,0.0002024003,0.96518,0.02313175,0.0003232388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3134076,0.0003451182,0.3538978,0.03378638,0.000634754,0.003758776,0.0005942381,0.001212435,0.2923629],"genre_scores_gemma":[0.9368814,0.00003287001,0.05029539,0.0002238599,0.0001632572,0.000290331,0.000052387,0.0001189559,0.01194157],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6234738,"threshold_uncertainty_score":0.9950408,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07131865210106267,"score_gpt":0.3201151240224728,"score_spread":0.2487964719214102,"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."}}