{"id":"W2053104190","doi":"10.1007/s000260300005","title":"Posets of Matrices and Permutations with Forbidden Subsequences","year":2003,"lang":"en","type":"article","venue":"Annals of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Combinatorics; Mathematics; Partially ordered set; Enumeration; Permutation (music); Subsequence; Longest common subsequence problem; Rank (graph theory); Discrete mathematics","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":[0.00171354,0.001584758,0.001321771,0.002977999,0.004052478,0.007671663,0.001761964,0.001943397,0.01424997],"category_scores_gemma":[0.005186304,0.001303314,0.002604814,0.0031812,0.005186555,0.01036279,0.003840569,0.003896594,0.002133933],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001145612,"about_ca_system_score_gemma":0.001204721,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009446609,"about_ca_topic_score_gemma":0.0012432,"domain_scores_codex":[0.9975673,0.0008184455,0.0001960677,0.0005221263,0.0005007171,0.0003952855],"domain_scores_gemma":[0.9944072,0.003170815,0.0007994191,0.000536464,0.000414613,0.0006715048],"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":[0.0000551499,0.00003297167,0.0002079877,0.00002278792,0.000008255411,0.0001829617,0.0004651279,0.0008049722,0.0005728973,0.9937252,0.000812475,0.003109318],"study_design_scores_gemma":[0.000012327,0.00001520984,0.00007023661,0.000008172549,0.000008399566,0.0001736307,0.000143017,0.001578041,0.00031222,0.995726,0.001941511,0.00001122939],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4260357,0.001263695,0.4086795,0.0036663,0.0007712673,0.0002305399,0.001372913,0.0007893752,0.1571907],"genre_scores_gemma":[0.8822414,0.001243451,0.05971351,0.000706261,0.001188927,0.0005054661,0.002021375,0.000267629,0.05211203],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01424997,"threshold_uncertainty_score":0.04767096,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1026189913562735,"score_gpt":0.3681253956720894,"score_spread":0.2655064043158158,"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."}}