{"id":"W4328105802","doi":"10.1016/j.tcs.2023.113830","title":"On the average complexity of partial derivative transducers","year":2023,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Saint Mary's University","funders":"Centro de Matemática Universidade do Porto; Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bounded function; Algebraic number; Partial derivative; Expression (computer science); Combinatorics; Discrete mathematics; Pure mathematics; Applied mathematics; Mathematical analysis; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002791788,0.0005696065,0.001511501,0.001262537,0.001279746,0.004592727,0.002239079,0.001630978,0.006213326],"category_scores_gemma":[0.02964113,0.0006811926,0.001235244,0.001788102,0.00239666,0.009478785,0.002704738,0.002248514,0.0006680211],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003093879,"about_ca_system_score_gemma":0.003161386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00255748,"about_ca_topic_score_gemma":0.003027232,"domain_scores_codex":[0.9951532,0.001015533,0.0004058875,0.001274856,0.0012415,0.0009090629],"domain_scores_gemma":[0.9394784,0.05151825,0.00177651,0.004249678,0.001859084,0.001118187],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002876699,0.0003571697,0.02632445,0.001195777,0.0003281439,0.0006417074,0.001812358,0.5905762,0.04903295,0.2063475,0.006011947,0.1144952],"study_design_scores_gemma":[0.00005127379,0.0001689788,0.002567148,0.00003854874,0.0001080633,0.0002767377,0.0002292372,0.8584896,0.01452265,0.122294,0.001200886,0.00005284109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8765385,0.0007344199,0.1101356,0.001688475,0.00005371775,0.0000630893,0.001473201,0.00124104,0.008072092],"genre_scores_gemma":[0.9806634,0.0002794483,0.0154575,0.0001232418,0.00005411575,0.0001162763,0.00120132,0.0002707548,0.001833939],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006213326,"threshold_uncertainty_score":0.02244782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03271519382222329,"score_gpt":0.2632422958027282,"score_spread":0.2305271019805049,"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."}}