{"id":"W2963251628","doi":"10.1017/prm.2019.36","title":"Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras","year":2019,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Australian Research Council","keywords":"Subalgebra; Vertex (graph theory); Mathematics; Toeplitz matrix; Abelian group; Algebra over a field; Pure mathematics; Action (physics); Gauge theory; Graph; Combinatorics; Physics; Mathematical physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005705977,0.0004721147,0.0004422031,0.001063749,0.0003621567,0.001043373,0.0007732688,0.0005012436,0.002626465],"category_scores_gemma":[0.002030797,0.0003083516,0.0005352377,0.0005007397,0.001142978,0.001559606,0.0009902371,0.001082037,0.0006518721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005239387,"about_ca_system_score_gemma":0.0003886466,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001104116,"about_ca_topic_score_gemma":0.001692955,"domain_scores_codex":[0.9996908,0.00009213648,0.00001504005,0.00006504689,0.00008193952,0.00005504996],"domain_scores_gemma":[0.9993766,0.000186821,0.00007359956,0.0002048021,0.00008355989,0.00007469438],"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":[0.0001096749,0.00006876561,0.0008754747,0.00009412599,0.00003306049,0.0004092998,0.0003188175,0.04478122,0.01264399,0.9018095,0.001455136,0.03740091],"study_design_scores_gemma":[0.0000171721,0.00003469077,0.0002760757,0.00001995658,0.00001080396,0.0001043296,0.0001642813,0.1250822,0.005204391,0.8650405,0.004023544,0.00002208632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3797772,0.0002296301,0.6040192,0.0002399827,0.0001119456,0.00007123494,0.0003280012,0.0007428411,0.01448002],"genre_scores_gemma":[0.8593198,0.0002755829,0.1341179,0.000115789,0.0000581264,0.00003979231,0.0005129752,0.00022925,0.00533079],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002626465,"threshold_uncertainty_score":0.00878644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03922433274270375,"score_gpt":0.2942350764282651,"score_spread":0.2550107436855614,"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."}}