{"id":"W2132750688","doi":"10.13001/1081-3810.1114","title":"On nonnegative matrices with given row and column sums","year":2003,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Column (typography); Combinatorics; Row and column spaces; Pure mathematics; Row; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000805562,0.0001322911,0.000216884,0.0001226871,0.0001225583,0.00008619649,0.0003692793,0.00004048688,0.00003167598],"category_scores_gemma":[0.00007152366,0.00009482019,0.00005425361,0.0003223887,0.00005083159,0.000376898,0.00002676163,0.0004343171,0.00001268182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005968538,"about_ca_system_score_gemma":0.0003014496,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001989972,"about_ca_topic_score_gemma":0.000005131058,"domain_scores_codex":[0.9987686,0.0001622339,0.0002362952,0.0001695023,0.0002853649,0.0003780142],"domain_scores_gemma":[0.9991446,0.0001925902,0.0002703704,0.0001698761,0.000117051,0.0001055358],"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":[0.0001130607,0.0001246288,0.0001484698,0.00001303185,0.0001369904,0.00008452467,0.0006685677,0.0002256149,0.0001516337,0.9923838,0.0002662172,0.0056834],"study_design_scores_gemma":[0.007615839,0.01829702,0.0006680175,0.0003676419,0.0001585852,0.005187397,0.0006600672,0.01178969,0.03736006,0.8818084,0.0348524,0.001234864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5894926,0.004189568,0.4010375,0.001813947,0.0002639498,0.0002288597,0.000001825331,0.00004992987,0.002921805],"genre_scores_gemma":[0.9883641,0.0001791369,0.01081883,0.0001848759,0.0001056511,0.000001258906,1.860191e-7,0.00001104756,0.0003349295],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3988715,"threshold_uncertainty_score":0.3866655,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004411372928628116,"score_gpt":0.2132674639566128,"score_spread":0.2088560910279847,"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."}}