{"id":"W2601196922","doi":"10.46298/dmtcs.2478","title":"Factoring peak polynomials","year":2015,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"University of Washington; National Science Foundation","keywords":"Pi; Combinatorics; Mathematics; Permutation (music); Integer (computer science); Binomial coefficient; Conjecture; Discrete mathematics; Physics; Geometry","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":[0.00078902,0.0008640935,0.0006432468,0.001544739,0.00115263,0.001564567,0.0006815519,0.0005631624,0.0107907],"category_scores_gemma":[0.00451248,0.0004063453,0.0008426869,0.001428601,0.002268874,0.003673636,0.002257542,0.002105087,0.002517093],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001517877,"about_ca_system_score_gemma":0.0008381914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002103646,"about_ca_topic_score_gemma":0.002686986,"domain_scores_codex":[0.9990135,0.0001094288,0.00003462891,0.0003079048,0.0002334372,0.000301045],"domain_scores_gemma":[0.998774,0.0004220438,0.0001306817,0.0003183585,0.0002259913,0.0001289269],"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":[0.0001595327,0.00004220249,0.001697332,0.0001069012,0.00001430479,0.0002024369,0.0006003403,0.0045385,0.008031947,0.9072038,0.005135803,0.07226686],"study_design_scores_gemma":[0.00002371543,0.00007102681,0.0008275507,0.0000558147,0.00001976548,0.0003063313,0.0002238735,0.02850713,0.006230109,0.9396362,0.02405488,0.0000435374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.221199,0.001297223,0.6823893,0.000783089,0.0004396125,0.0001165567,0.0007660364,0.001482849,0.09152629],"genre_scores_gemma":[0.8590634,0.0007601626,0.1134947,0.0004153665,0.0003954635,0.0001098916,0.000753666,0.000682575,0.02432476],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0107907,"threshold_uncertainty_score":0.03609848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04977607377244855,"score_gpt":0.3295222375344969,"score_spread":0.2797461637620484,"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."}}