{"id":"W2154857537","doi":"10.1051/ro:2007028","title":"A note on tree realizations of matrices","year":2007,"lang":"en","type":"article","venue":"RAIRO - Operations Research","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Polytechnique Montréal","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Realization (probability); Diagonal; Tree (set theory); Mathematics; Combinatorics; Metric (unit); Class (philosophy); Zero (linguistics); Discrete mathematics; Computer science; Geometry; Statistics; Artificial intelligence; Engineering","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":[0.0006801841,0.0005320842,0.0007327767,0.0007106118,0.001144644,0.001480968,0.0005871385,0.00111455,0.007161839],"category_scores_gemma":[0.003495793,0.0004154553,0.0006870332,0.001145845,0.001213415,0.002670102,0.001453658,0.002195647,0.001466163],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005841823,"about_ca_system_score_gemma":0.0004686876,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001196311,"about_ca_topic_score_gemma":0.001690139,"domain_scores_codex":[0.9991912,0.0002508593,0.00003929349,0.0001558817,0.0002385036,0.0001242119],"domain_scores_gemma":[0.9982207,0.000856212,0.0002182567,0.0002036778,0.000212683,0.0002884332],"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":[0.00002580377,0.00001043585,0.0001987145,0.00003419598,0.000007200735,0.0001038044,0.0001063353,0.009632851,0.00229362,0.974445,0.002717085,0.01042492],"study_design_scores_gemma":[0.000009255194,0.000082116,0.0003190944,0.0000236222,0.000007708404,0.0001467457,0.0000662719,0.04781046,0.0009097062,0.9347683,0.0158345,0.00002218148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1470621,0.003469605,0.7510854,0.002132365,0.0005409875,0.00006078217,0.0005266948,0.0004767096,0.09464548],"genre_scores_gemma":[0.7763849,0.004661153,0.1932763,0.0008334481,0.00121529,0.0001978058,0.0008987027,0.0005438703,0.02198849],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007161839,"threshold_uncertainty_score":0.02395868,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1536482196114749,"score_gpt":0.4861941099809319,"score_spread":0.332545890369457,"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."}}