{"id":"W344607830","doi":"10.13001/1081-3810.1387","title":"Refined inertially and spectrally arbitrary zero-nonzero patterns","year":2010,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Zero (linguistics); Mathematics; Eigenvalues and eigenvectors; Inertia; Zero order; Matrix (chemical analysis); Order (exchange); Mathematical analysis; Pure mathematics; Physics; Applied mathematics; First order; Classical mechanics; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001265605,0.0001839022,0.0002817541,0.0001640034,0.000126869,0.0001191865,0.0008809999,0.0000944189,0.00006210815],"category_scores_gemma":[0.00008894605,0.0001483566,0.00012696,0.0002129031,0.00004701839,0.000594506,0.0001191764,0.001519504,0.0000149413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002928278,"about_ca_system_score_gemma":0.0004368302,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005237324,"about_ca_topic_score_gemma":0.00001892085,"domain_scores_codex":[0.9983249,0.00009277455,0.0004823843,0.0002272399,0.0003177197,0.0005550179],"domain_scores_gemma":[0.998985,0.0001027671,0.0003027501,0.0003393409,0.0001137938,0.0001563405],"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":[0.0001332538,0.0002391078,0.0007034578,0.00003477289,0.0001969779,0.0002752794,0.0006764567,0.00001851762,0.0567047,0.8764849,0.0005101897,0.06402235],"study_design_scores_gemma":[0.005507668,0.004592245,0.007712477,0.0001570254,0.0001363241,0.009681186,0.00006190035,0.01424376,0.1028605,0.7948639,0.05871465,0.001468404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7749723,0.0005663537,0.22104,0.002293993,0.0005450424,0.00007149606,0.000001427877,0.00005110977,0.0004582256],"genre_scores_gemma":[0.9730105,0.0002138914,0.02515705,0.0006609035,0.0007003513,9.552131e-7,8.998883e-7,0.0000181057,0.0002373729],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1980381,"threshold_uncertainty_score":0.6601574,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004421461717682794,"score_gpt":0.2184342975603908,"score_spread":0.214012835842708,"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."}}