{"id":"W4243115319","doi":"10.1007/978-3-0348-8217-0_12","title":"Localization Operators","year":2002,"lang":"en","type":"book-chapter","venue":"Birkhäuser Basel eBooks","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Square-integrable function; Mathematics; Hilbert space; Hausdorff space; Bounded function; Pure mathematics; Representation (politics); Locally compact space; Combinatorics; Discrete mathematics; 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005356086,0.0007346523,0.0008382314,0.0002827507,0.0001777652,0.00008821595,0.0004980679,0.0008069696,0.00501026],"category_scores_gemma":[0.0003624051,0.00069284,0.0003270234,0.00003644913,0.0002452318,0.00006413749,0.0002263944,0.0007191921,0.001391977],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002095773,"about_ca_system_score_gemma":0.00008354207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001158812,"about_ca_topic_score_gemma":0.000005433013,"domain_scores_codex":[0.9970976,0.0001199502,0.0008770782,0.0007637775,0.0006778265,0.000463763],"domain_scores_gemma":[0.9973556,0.0005608701,0.0004472492,0.0011576,0.0002207837,0.0002578417],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001237539,0.00003305143,0.00000561119,0.000313356,0.0001549616,0.00005487036,0.0002360138,0.000004973018,0.00002409398,0.9309486,0.05135254,0.01685959],"study_design_scores_gemma":[0.0002362805,0.0000478864,9.872103e-8,0.0003006452,0.0001476397,0.0000117487,0.0000053232,0.0004644058,0.0003620036,0.4696379,0.5282246,0.000561432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000003257631,0.0001344034,0.06009139,0.00004512803,0.0007250072,0.000758805,0.00005274978,0.0005455242,0.9376438],"genre_scores_gemma":[0.00008996632,0.00006048122,0.102347,0.0008886658,0.0004435686,0.00006549257,0.0000157828,0.0004349213,0.8956541],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.4768721,"threshold_uncertainty_score":0.9995522,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1222590751666132,"score_gpt":0.3170603088673379,"score_spread":0.1948012337007247,"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."}}