{"id":"W2034012206","doi":"10.1016/j.jalgebra.2007.01.045","title":"On the ideals of secant varieties to certain rational varieties","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Variety (cybernetics); Embedding; Pure mathematics; Product (mathematics); Projective test; Projective variety; Algebra over a field; Geometry; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001004335,0.00007765656,0.00017425,0.0001101368,0.00009078556,0.00002702794,0.0001952653,0.00003907873,0.00038042],"category_scores_gemma":[0.0003401655,0.00004871542,0.0001076759,0.0001515815,0.00004568772,0.00005068229,0.00002059053,0.0001623498,0.00001753493],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003104101,"about_ca_system_score_gemma":0.00005625106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002878933,"about_ca_topic_score_gemma":0.00000603504,"domain_scores_codex":[0.9988714,0.00004509721,0.0005331478,0.00005635283,0.000384815,0.0001091859],"domain_scores_gemma":[0.997785,0.001302664,0.0003669788,0.0001602017,0.0003122623,0.00007291688],"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":[0.00006449725,0.0001144577,0.00003628213,0.000008750964,0.00004331662,0.000002527811,0.0009454875,0.00003943751,0.005140237,0.9610434,0.03237691,0.0001847037],"study_design_scores_gemma":[0.0002307317,0.0002078397,0.003894184,0.00003791385,0.00003206255,0.00005179828,0.0008983699,0.00002335207,0.01875498,0.9711938,0.004597245,0.00007774105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8734553,0.00003132032,0.1047638,0.01586146,0.0001491313,0.0001988051,0.00001100121,0.00001412283,0.005515011],"genre_scores_gemma":[0.9892545,0.00000412192,0.009095408,0.001089363,0.0001380037,0.000002664809,7.108391e-7,0.000009689283,0.0004055539],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1157992,"threshold_uncertainty_score":0.4165332,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03838698805067434,"score_gpt":0.3233152826859932,"score_spread":0.2849282946353189,"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."}}