{"id":"W2291865306","doi":"10.4153/cmb-2016-070-8","title":"On the Dimension of the Locus of Determinantal Hypersurfaces","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Locus (genetics); Tuple; Conjugacy class; Dimension (graph theory); Combinatorics; Polynomial; Pure mathematics; Degree (music); Discrete mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.0008128564,0.0004062347,0.0008663091,0.003562297,0.001862449,0.004108887,0.0007591908,0.0006738629,0.005822079],"category_scores_gemma":[0.003366793,0.0003689007,0.0004792593,0.001311279,0.003988744,0.002613984,0.002888225,0.001499418,0.0004519827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001450643,"about_ca_system_score_gemma":0.0004395156,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001203646,"about_ca_topic_score_gemma":0.0005427193,"domain_scores_codex":[0.9989712,0.0001323245,0.00005179056,0.0002071288,0.0003452913,0.0002922551],"domain_scores_gemma":[0.9975802,0.0007235486,0.000413859,0.0001682923,0.0003271347,0.0007869393],"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":[0.0002577209,0.0001295602,0.01047557,0.00007755325,0.00004130127,0.000653485,0.001091126,0.003399156,0.005245792,0.9624985,0.002133691,0.01399654],"study_design_scores_gemma":[0.00007238689,0.0001242845,0.0120976,0.00004771404,0.00003863702,0.0008987735,0.0007391597,0.02354237,0.00336203,0.9534428,0.005551245,0.00008302808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9757344,0.000315848,0.00702115,0.0006215594,0.00006090413,0.00001718765,0.0002624972,0.00009432909,0.01587212],"genre_scores_gemma":[0.9974095,0.00009829906,0.0007554989,0.00002750653,0.00006394057,0.000006942971,0.000139754,0.00001351653,0.00148504],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005822079,"threshold_uncertainty_score":0.01947683,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00900913142113527,"score_gpt":0.1883932070936024,"score_spread":0.1793840756724671,"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."}}