{"id":"W2805629005","doi":"10.1016/j.aam.2018.05.005","title":"Quasisymmetric and noncommutative skew Pieri rules","year":2018,"lang":"en","type":"preprint","venue":"Advances in Applied Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Skew; Noncommutative geometry; Mathematics; Symmetric function; Algebraic number; Combinatorics; Pure mathematics; Algebra over a field; Computer science; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001218987,0.001173882,0.002181816,0.0007324073,0.0001817898,0.0001540008,0.001207092,0.0007412496,0.00005651007],"category_scores_gemma":[0.002479678,0.001133608,0.000190645,0.0007085987,0.0006419259,0.0002437103,0.002271746,0.001506119,0.0001378756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003924991,"about_ca_system_score_gemma":0.0001224106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002633826,"about_ca_topic_score_gemma":0.00001984461,"domain_scores_codex":[0.9950756,0.00009010512,0.001911701,0.001129283,0.0009210068,0.0008723033],"domain_scores_gemma":[0.9907779,0.005233017,0.001706286,0.001858949,0.0001981198,0.0002256936],"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":[0.00003487374,0.000768248,0.00004319642,0.007254944,0.00008238771,0.00001815659,0.004389334,0.00003510192,0.00002662084,0.9784088,0.0002538942,0.008684466],"study_design_scores_gemma":[0.001016567,0.00009534221,0.00001280181,0.00137863,0.0001711242,0.00002101384,0.001047793,0.00139819,0.0006290914,0.9917015,0.001419073,0.001108836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.11849,0.01017711,0.6367278,0.0001869286,0.003474631,0.007912814,0.0002738093,0.00134683,0.2214101],"genre_scores_gemma":[0.0865695,0.002204279,0.9095786,0.00005249219,0.0003524929,0.0007791949,0.00003062053,0.0002706375,0.0001622036],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2728508,"threshold_uncertainty_score":0.9991114,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03416511433002784,"score_gpt":0.3510484837760912,"score_spread":0.3168833694460634,"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."}}