{"id":"W2182624740","doi":"10.46298/dmtcs.3023","title":"Symmetries of the k-bounded partition lattice","year":2012,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"","keywords":"Bounded function; Homogeneous space; Combinatorics; Lattice (music); Partition (number theory); Morse code; Mathematics; Physics; Geometry; Mathematical analysis; Computer science","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":[0.0004146397,0.0002332495,0.0003334901,0.0005420416,0.001098274,0.001598511,0.0005624793,0.0004344805,0.003235622],"category_scores_gemma":[0.001008625,0.0001870418,0.0005829414,0.000458529,0.002172152,0.001908047,0.000976395,0.0008681017,0.0006447794],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007355175,"about_ca_system_score_gemma":0.0007338249,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001256638,"about_ca_topic_score_gemma":0.0008891124,"domain_scores_codex":[0.9996076,0.00007568682,0.00001751797,0.00005047848,0.0001320938,0.0001165759],"domain_scores_gemma":[0.9995333,0.0001079966,0.00008674327,0.00009229688,0.00006865145,0.0001110391],"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":[0.00002195156,0.000009057854,0.0001457171,0.00001203898,0.000002147225,0.00009295538,0.0001672328,0.001272762,0.001708732,0.9937456,0.0004625112,0.002359237],"study_design_scores_gemma":[0.00002052893,0.00002620969,0.0002940517,0.000009798734,0.000002681283,0.0001950199,0.0001397515,0.01097218,0.001291614,0.9846177,0.002414297,0.00001606457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7919304,0.000554179,0.1025007,0.001049815,0.0003260761,0.00005866756,0.0002347406,0.0001811685,0.1031643],"genre_scores_gemma":[0.9824532,0.0002474803,0.008271874,0.0001776526,0.00009484567,0.00004460356,0.0001059503,0.00004645969,0.008557891],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003235622,"threshold_uncertainty_score":0.0108242,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0248080933261077,"score_gpt":0.2985127857343379,"score_spread":0.2737046924082302,"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."}}