{"id":"W4307729272","doi":"10.32920/21428688","title":"Matrix-Based Ramanujan-Sums Transforms","year":2022,"lang":"en","type":"preprint","venue":"","topic":"Fractal and DNA sequence analysis","field":"Biochemistry, Genetics and Molecular Biology","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University; Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ramanujan's sum; Mathematics; Inverse; Multiplication (music); Matrix (chemical analysis); Matrix multiplication; Arithmetic; Function (biology); Pure mathematics; Combinatorics; Physics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007196163,0.0008487348,0.0006027576,0.00145054,0.0006426163,0.001554393,0.0008913931,0.0007446074,0.007505159],"category_scores_gemma":[0.001824141,0.0002762946,0.0007249629,0.0009669901,0.001825748,0.002332056,0.001225833,0.001560065,0.002148689],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005431898,"about_ca_system_score_gemma":0.0003733448,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003714842,"about_ca_topic_score_gemma":0.00030586,"domain_scores_codex":[0.9994614,0.0001818751,0.00002287012,0.00007911985,0.0002034626,0.00005130479],"domain_scores_gemma":[0.9995597,0.0001620203,0.0000468552,0.00008459545,0.0001043662,0.00004243305],"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":[0.00001403468,0.00001366606,0.00004256854,0.00003922241,0.000006105467,0.00005611898,0.00006703757,0.006469513,0.003422906,0.9816528,0.000926093,0.00728979],"study_design_scores_gemma":[0.000007837955,0.00003248844,0.0001528369,0.00002036473,0.000006199369,0.0002453405,0.00004029233,0.1669133,0.005096657,0.8183064,0.009132932,0.00004535705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08555264,0.002382739,0.7805112,0.001045979,0.0008942836,0.00008438926,0.0002694255,0.0003466765,0.1289127],"genre_scores_gemma":[0.7496549,0.00258987,0.1949407,0.0006191093,0.001004583,0.0001955102,0.0003195976,0.0005808408,0.05009491],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007505159,"threshold_uncertainty_score":0.0251072,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01083713599080626,"score_gpt":0.2804704136100616,"score_spread":0.2696332776192553,"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."}}