{"id":"W1982968438","doi":"10.2478/spma-2014-0007","title":"The theory and applications of complex matrix scalings","year":2014,"lang":"en","type":"article","venue":"Special Matrices","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Invertible matrix; Diagonal; Conjecture; Positive-definite matrix; Diagonal matrix; Matrix (chemical analysis); Combinatorics; Pure mathematics; Scaling; Quantum mechanics; Physics","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":[0.0005063433,0.00004991211,0.00006832022,0.00007291576,0.0002158894,0.0001320671,0.0004432041,0.00001977479,0.00002074456],"category_scores_gemma":[0.00002102418,0.0000334297,0.00003401164,0.0003460123,0.0001117855,0.0001755572,0.00008876347,0.0000381369,0.00003584146],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002523779,"about_ca_system_score_gemma":0.000008442013,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004548895,"about_ca_topic_score_gemma":0.000003219829,"domain_scores_codex":[0.9994652,0.00004882448,0.0001729297,0.00008081028,0.0001394075,0.00009278816],"domain_scores_gemma":[0.9993027,0.0002776549,0.0001178777,0.0002181004,0.00004989539,0.00003372238],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00000299171,0.000004483373,0.0001392876,0.000007520807,0.000002593208,1.380153e-8,0.0001561273,0.000001269658,0.00002306706,0.9026181,0.0007378689,0.0963067],"study_design_scores_gemma":[0.0001424899,0.00002894973,0.008048455,0.000003522249,0.000005129767,0.000002668925,0.0001931482,0.002879631,0.0001641945,0.3683645,0.6200834,0.00008391074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.007247415,0.000450632,0.9072229,0.0007424235,0.0001949756,0.0002298394,0.000003496366,0.00009589227,0.0838124],"genre_scores_gemma":[0.9892735,0.0002020447,0.009164657,0.0002833327,0.0008930613,0.00002530786,0.000001797006,0.000004922865,0.0001513965],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.982026,"threshold_uncertainty_score":0.1660469,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006287737367324349,"score_gpt":0.2445090554113812,"score_spread":0.2382213180440568,"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."}}