{"id":"W1983300104","doi":"10.4153/cmb-2004-038-9","title":"An Inversion Formula of the Radon Transform on the Heisenberg Group","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Medical Imaging Techniques and Applications","field":"Medicine","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Government of Jiangsu Province","keywords":"Inversion (geology); Mathematics; Radon transform; Heisenberg group; Radon; Group (periodic table); Pure mathematics; Mathematical analysis; Quantum mechanics; Physics; Geology","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":[],"category_scores_codex":[0.000247734,0.00009272917,0.0001473483,0.00003806146,0.000124156,0.000009633277,0.0002317372,0.00007162101,0.002170261],"category_scores_gemma":[0.0001442688,0.00004681351,0.00009497712,0.0001302924,0.0001980672,0.0000100143,0.00001013176,0.0002285392,0.0003184233],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001130248,"about_ca_system_score_gemma":0.0001237849,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001026602,"about_ca_topic_score_gemma":0.0003036624,"domain_scores_codex":[0.9992336,0.00002045408,0.0001951811,0.0001252604,0.0002208443,0.0002046639],"domain_scores_gemma":[0.9989894,0.00007932042,0.00003396696,0.0005018435,0.00002925635,0.0003662384],"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":[0.00002024436,0.0003093324,0.00003133006,0.0001559658,0.00002023724,0.00001224712,0.0004597684,0.000003086574,0.003184858,0.9393383,0.05325565,0.003208963],"study_design_scores_gemma":[0.002009228,0.0007269995,0.0009503044,0.001845541,0.0002126865,0.0001382186,0.0006426611,0.001871494,0.03781958,0.3665109,0.5868712,0.0004012031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"commentary","genre_gemma":"empirical","genre_scores_codex":[0.4127831,0.00001582779,0.005239069,0.5470023,0.00003253411,0.001373247,0.00001990754,0.00007306776,0.03346094],"genre_scores_gemma":[0.9887447,0.000006662649,0.002739362,0.008097056,0.00003800279,0.00004440892,0.000006466743,0.00001487711,0.0003084777],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5759616,"threshold_uncertainty_score":0.9987419,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01554292602079535,"score_gpt":0.2528887284843129,"score_spread":0.2373458024635175,"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."}}