{"id":"W2951364546","doi":"10.48550/arxiv.math/0609054","title":"On the ideals of Secant Varieties to certain rational varieties","year":2006,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Embedding; Variety (cybernetics); Pure mathematics; Product (mathematics); Projective variety; Projective test; Geometry; Computer science; Statistics","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":[0.00102184,0.000734604,0.000630402,0.00214236,0.001544776,0.002736609,0.0005425856,0.0004779463,0.00560479],"category_scores_gemma":[0.001893467,0.0004556745,0.001090821,0.001143969,0.004212592,0.003136321,0.00225214,0.001853483,0.000743422],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001818394,"about_ca_system_score_gemma":0.0006283661,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001965381,"about_ca_topic_score_gemma":0.001417435,"domain_scores_codex":[0.9990644,0.0002302205,0.00005298648,0.0001531483,0.0002576678,0.0002416298],"domain_scores_gemma":[0.9991044,0.0002115802,0.0001866412,0.00007298263,0.0001669152,0.000257476],"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":[0.00004361135,0.00002859219,0.0005239877,0.0000255469,0.000006481149,0.0001390368,0.0006474536,0.0007824284,0.001400103,0.992582,0.0007494777,0.003071283],"study_design_scores_gemma":[0.00002987752,0.00006648624,0.001677305,0.0000269597,0.00002187651,0.0003397656,0.0005678511,0.01237091,0.002591619,0.9721953,0.01008843,0.00002364278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8034347,0.001182368,0.0718202,0.001395778,0.0002582208,0.00007943848,0.0001871783,0.0002369323,0.1214053],"genre_scores_gemma":[0.9609982,0.0008126905,0.01366306,0.0001748934,0.0004056419,0.00005247657,0.0002726043,0.0001262209,0.02349422],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00560479,"threshold_uncertainty_score":0.01874995,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08873804861913319,"score_gpt":0.3276479315168975,"score_spread":0.2389098828977643,"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."}}