{"id":"W2755572401","doi":"10.37236/2571","title":"Locally Restricted Compositions IV. Nearly Free Large Parts and Gap-Freeness","year":2012,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Multiplicity (mathematics); Poisson distribution; Combinatorics; Asymptotically optimal algorithm; Discrete mathematics; Mathematical analysis; Statistics; Algorithm","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":[],"consensus_categories":[],"category_scores_codex":[0.001588458,0.0001765763,0.0003826653,0.00008428303,0.0002283009,0.00006608632,0.0005041021,0.00009981432,0.00003231112],"category_scores_gemma":[0.0005574845,0.0001171111,0.0001175159,0.0002982679,0.0000767777,0.0002339546,0.0001351144,0.0007285099,0.000005385818],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000134802,"about_ca_system_score_gemma":0.0001453151,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003151509,"about_ca_topic_score_gemma":0.000005180936,"domain_scores_codex":[0.9979699,0.0001812222,0.000563988,0.00008226139,0.0004675852,0.0007350628],"domain_scores_gemma":[0.9977315,0.0009422517,0.0004641263,0.0004225839,0.0002472694,0.0001922702],"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":[0.00002870214,0.0005055316,0.0003478896,0.00003871203,0.00009917838,0.000004373888,0.0002990676,0.00000164021,0.00009235124,0.9969053,0.001591281,0.00008594111],"study_design_scores_gemma":[0.00108065,0.0003035052,0.0008087097,0.00005568721,0.0001682536,0.0002943445,0.00009751787,0.0008377208,0.00006803119,0.9940876,0.002054673,0.0001433252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7847928,0.004700711,0.2039318,0.002238133,0.0004604109,0.0003678621,0.00001469669,0.0000459107,0.003447698],"genre_scores_gemma":[0.9989201,0.0003800856,0.0002537506,0.00007941451,0.0001321141,0.000004033593,0.000001360884,0.00002971445,0.0001994487],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2141273,"threshold_uncertainty_score":0.4775653,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02194147475289175,"score_gpt":0.2809720556623436,"score_spread":0.2590305809094518,"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."}}