{"id":"W2897951335","doi":"10.1145/3378570","title":"Periods of Iterations of Functions with Restricted Preimage Sizes","year":2020,"lang":"en","type":"preprint","venue":"ACM Transactions on Algorithms","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Modulo; Mathematics; Product (mathematics); Combinatorics; Set (abstract data type); Heuristic; Discrete mathematics; Mathematical optimization; Computer science; Geometry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000126515,0.0003644482,0.0008064024,0.0002495754,0.0001249401,0.00004466002,0.0004884955,0.0003142252,0.0005142562],"category_scores_gemma":[0.0003294933,0.0003054801,0.0003309325,0.0004445574,0.0002404394,0.00008354076,0.00004328862,0.0008729405,0.00001155565],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004545812,"about_ca_system_score_gemma":0.0002027498,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004964209,"about_ca_topic_score_gemma":0.00003200288,"domain_scores_codex":[0.9978914,0.00008909306,0.0008663314,0.0004491188,0.0004950482,0.000208956],"domain_scores_gemma":[0.9968172,0.0009045708,0.0004945815,0.001300181,0.000349096,0.0001343917],"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":[0.004234282,0.05383899,0.0003280989,0.05111641,0.02708535,0.0003254728,0.05572243,0.06637947,0.03952666,0.4030538,0.007729643,0.2906594],"study_design_scores_gemma":[0.003999711,0.003322121,0.001381735,0.003810017,0.004460447,0.00006941221,0.002728878,0.1882511,0.01267291,0.7755297,0.001351704,0.002422261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01399638,0.00003073066,0.9798245,0.001021493,0.0002065286,0.000862452,0.001596301,0.0001467643,0.002314863],"genre_scores_gemma":[0.5415944,0.0000817022,0.4567403,0.00003121153,0.00006404294,0.0002461148,0.00009127831,0.00009244178,0.001058428],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5275981,"threshold_uncertainty_score":0.9999397,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06052760702311941,"score_gpt":0.314189222742096,"score_spread":0.2536616157189766,"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."}}