{"id":"W3207930735","doi":"10.1016/j.ejc.2023.103708","title":"Continuously increasing subsequences of random multiset permutations","year":2023,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Multiset; Mathematics; Combinatorics; Subsequence; Longest increasing subsequence; Infinity; Conjecture; Integer (computer science); Generating function; Inverse; Function (biology); Discrete mathematics; Bounded function","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":[0.003887773,0.0002069174,0.0006484694,0.0003495391,0.0001191902,0.00004238421,0.0005701766,0.00003759233,0.00001931982],"category_scores_gemma":[0.007085016,0.0001820155,0.0002330284,0.0008659108,0.0001276177,0.0002664337,0.0001097429,0.0003372356,0.00003459408],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006525681,"about_ca_system_score_gemma":0.00009513094,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000012357,"about_ca_topic_score_gemma":3.241185e-7,"domain_scores_codex":[0.9966603,0.0009079892,0.001340051,0.000131799,0.000683979,0.0002758836],"domain_scores_gemma":[0.9945906,0.002523084,0.001569149,0.0003187536,0.0008501933,0.0001482121],"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":[0.0004885549,0.0009818267,0.003488702,0.0006942671,0.000431944,0.001692871,0.008044587,0.0004413257,0.007978407,0.9643605,0.00883299,0.002564028],"study_design_scores_gemma":[0.00610167,0.0005353361,0.001623604,0.0005142346,0.0001852868,0.0003134061,0.001246326,0.0003392671,0.002114095,0.9851987,0.001514721,0.0003133786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.977102,0.0001631767,0.01597033,0.0001390407,0.001598811,0.000213757,0.000009669489,0.0001125444,0.004690708],"genre_scores_gemma":[0.9922588,0.00009470362,0.007255226,0.00000993512,0.000127086,0.000001271997,0.000002490231,0.0000715426,0.000178891],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02083818,"threshold_uncertainty_score":0.8481937,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05626951111954361,"score_gpt":0.322514570171774,"score_spread":0.2662450590522304,"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."}}