{"id":"W2036368491","doi":"10.1016/j.jctb.2004.10.001","title":"Average independence polynomials","year":2004,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Independence (probability theory); Mathematics; Combinatorics; Polynomial; Discrete mathematics; Graph; Statistics; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002468741,0.0003199858,0.000815996,0.0001906399,0.000168333,0.00009015806,0.0007852175,0.0002397954,0.0001446946],"category_scores_gemma":[0.004426789,0.0002733227,0.0002935106,0.000302866,0.0001915664,0.001018244,0.0001516387,0.0006864499,0.00002280448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003099929,"about_ca_system_score_gemma":0.0003875994,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001780158,"about_ca_topic_score_gemma":7.340287e-7,"domain_scores_codex":[0.997021,0.0002574333,0.0012152,0.0001794484,0.0009423057,0.0003846682],"domain_scores_gemma":[0.9962951,0.001008121,0.001347257,0.0005005257,0.0006275589,0.0002214405],"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":[0.0007144146,0.0003422901,0.00001103569,0.00005649217,0.0001053607,0.000130769,0.001072699,0.00009326643,0.001770125,0.9952412,0.0002236627,0.0002386486],"study_design_scores_gemma":[0.003267583,0.0007715382,0.00000615917,0.0001841516,0.00006501361,0.0004622147,0.000362031,5.201848e-7,0.03068915,0.9615724,0.002347256,0.0002719931],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8512989,0.000541839,0.09003861,0.0008772453,0.04166082,0.0008487711,0.00001304421,0.000262056,0.01445876],"genre_scores_gemma":[0.9825041,0.00005021314,0.01552881,0.00005397529,0.001455823,0.000005067215,3.674011e-7,0.00006668104,0.0003349071],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1312053,"threshold_uncertainty_score":0.9999719,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02101477562931631,"score_gpt":0.2946448834877913,"score_spread":0.273630107858475,"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."}}