{"id":"W2202435936","doi":"10.1007/978-0-387-68276-1_19","title":"Matrix Factorizations, Compounds, Direct Products, and M-Matrices","year":2010,"lang":"en","type":"book-chapter","venue":"Springer series in statistics","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Compendium; Exposition (narrative); De Bruijn sequence; Matrix exponential; Matrix (chemical analysis); Mathematics; Algebra over a field; Pure mathematics; Discrete mathematics; Philosophy; Linguistics; Art","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":[0.0006805232,0.001224185,0.001100891,0.00181024,0.0009410935,0.002467688,0.0009092985,0.001291865,0.01516832],"category_scores_gemma":[0.002881889,0.000539016,0.0007358298,0.003519234,0.00254133,0.004031446,0.0008496423,0.001905423,0.005283447],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005671224,"about_ca_system_score_gemma":0.0006320272,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008234822,"about_ca_topic_score_gemma":0.00132304,"domain_scores_codex":[0.9995789,0.0001152687,0.00002412751,0.0001271926,0.0001230946,0.00003147411],"domain_scores_gemma":[0.9991148,0.00052157,0.0001195904,0.0001130174,0.00008874943,0.00004225796],"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":[0.0000370997,0.00003141316,0.0003001681,0.000497787,0.00002228445,0.000104755,0.0002072354,0.002308141,0.00124944,0.8559563,0.04360193,0.09568332],"study_design_scores_gemma":[0.000005199273,0.00002223025,0.0001970076,0.0000486867,0.000006182515,0.0003140472,0.00005320533,0.00324626,0.0002322214,0.9544493,0.04140858,0.0000171925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02101141,0.3047207,0.4918475,0.005216617,0.003730524,0.00006814546,0.001469078,0.0008230643,0.171113],"genre_scores_gemma":[0.3421405,0.1471235,0.3762365,0.003454502,0.0125195,0.0003730301,0.00253555,0.0005857356,0.1150313],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01516832,"threshold_uncertainty_score":0.05074304,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01171457863898305,"score_gpt":0.2432729343826606,"score_spread":0.2315583557436775,"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."}}