{"id":"W4407951142","doi":"10.1109/synasc65383.2024.00018","title":"Some Family Relations for Rational Orthogonal Matrices","year":2024,"lang":"en","type":"article","venue":"","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Computer science; Algebra over a field; Mathematics; Pure mathematics","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":[0.0002256482,0.0000550042,0.0000471216,0.00008174187,0.0001135904,0.0002256794,0.000230119,0.00002668589,0.00008548834],"category_scores_gemma":[0.00001299513,0.0000436669,0.00006169778,0.0002097231,0.00001301337,0.0007467926,0.00004744446,0.00004813199,0.0002775164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001117049,"about_ca_system_score_gemma":0.00009567322,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.493592e-7,"about_ca_topic_score_gemma":5.77638e-7,"domain_scores_codex":[0.9994591,0.00001481088,0.0001145372,0.0001889963,0.0001160886,0.000106507],"domain_scores_gemma":[0.9995745,0.000231042,0.00001228085,0.0001177701,0.00002976797,0.00003466956],"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":[8.739133e-7,0.000007546223,0.000005124013,0.000009034809,0.000007429179,0.000001946914,0.00004462647,0.00009293397,0.0001175471,0.9833937,0.009084403,0.007234781],"study_design_scores_gemma":[0.00006572263,0.00002126885,0.0001619579,0.000007241658,0.000003911414,0.000006643797,0.000009234762,0.3465506,0.0001168013,0.5861971,0.06677961,0.00007991672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0008241821,0.001034834,0.9875796,0.002967889,0.0007308683,0.0001110099,0.00001367322,0.0003022583,0.006435687],"genre_scores_gemma":[0.3043911,0.00004673139,0.6304837,0.001461731,0.001919177,0.0001416685,0.00004496953,0.00001978772,0.0614911],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3971966,"threshold_uncertainty_score":0.3567005,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0169500430727388,"score_gpt":0.2646684150447807,"score_spread":0.2477183719720419,"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."}}