{"id":"W2949713386","doi":"10.1016/j.laa.2019.06.010","title":"Principal minor assignment, isometries of Hilbert spaces, volumes of parallelepipeds and rescaling of sesqui-holomorphic functions","year":2019,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"University of Manitoba","keywords":"Mathematics; Holomorphic function; Hilbert space; Combinatorics; Pure mathematics; Eigenvalues and eigenvectors; Equivalence relation; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002785148,0.0001257553,0.0003651796,0.0001216046,0.00006749019,0.000008291859,0.0001114996,0.0001041775,0.0001349787],"category_scores_gemma":[0.0001067752,0.0001105095,0.00005193585,0.0002928907,0.0001810892,0.000075423,0.00008164866,0.000102455,0.00001137726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007082288,"about_ca_system_score_gemma":0.00004195801,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001658558,"about_ca_topic_score_gemma":0.000006047475,"domain_scores_codex":[0.9990103,0.00004404866,0.0004387244,0.0002107537,0.0001615669,0.0001346079],"domain_scores_gemma":[0.998824,0.0003936243,0.0002543966,0.0003142563,0.0001442426,0.00006949752],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0001544976,0.0008004539,0.04399046,0.001615269,0.0003449041,5.827379e-7,0.001909923,0.00003711629,0.06992916,0.8780783,0.0008206975,0.00231867],"study_design_scores_gemma":[0.01569588,0.00535578,0.06178372,0.001738164,0.003366669,0.0001721684,0.02093073,0.02605376,0.4838469,0.2112156,0.1658147,0.004025873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.991847,0.001089599,0.004926777,0.0001320909,0.00002409705,0.0005777602,0.0001225897,0.00002144788,0.00125868],"genre_scores_gemma":[0.9948512,0.0001990712,0.002639495,0.00001771207,0.00003399491,0.0000486085,0.00001848541,0.00001817282,0.002173233],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6668627,"threshold_uncertainty_score":0.4506447,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02443442284503816,"score_gpt":0.2754041948796784,"score_spread":0.2509697720346403,"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."}}