{"id":"W1205694693","doi":"10.1007/s00037-009-0263-7","title":"The Black-Box Query Complexity of Polynomial Summation","year":2009,"lang":"en","type":"article","venue":"Computational Complexity","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University; University of Toronto","funders":"","keywords":"Combinatorics; Degree (music); Mathematics; Polynomial; Field (mathematics); Discrete mathematics; Finite field; Connection (principal bundle); Physics; Pure mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.0007197371,0.0002640039,0.0003469019,0.0001592297,0.000850029,0.0002617179,0.001750149,0.00007411942,0.00002662192],"category_scores_gemma":[0.0001019515,0.0002248762,0.0002410489,0.0007614688,0.001354508,0.0005109673,0.0003179719,0.000292531,0.00004588269],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008392837,"about_ca_system_score_gemma":0.0001831106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006290501,"about_ca_topic_score_gemma":0.00004564858,"domain_scores_codex":[0.9973066,0.0002694729,0.0007183639,0.0004812879,0.000793601,0.000430604],"domain_scores_gemma":[0.9977003,0.0006066193,0.0003662991,0.0007381534,0.0004480706,0.0001405287],"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":[0.00003754714,0.0001804449,0.0001829004,0.00001188862,0.00002875084,0.000002910632,0.0003918962,0.004712801,0.00007754764,0.9644321,0.003557801,0.02638343],"study_design_scores_gemma":[0.0003599621,0.0001202901,0.07394475,0.00001537882,0.000004838696,0.00001416479,0.00002621449,0.3257175,0.0002072709,0.59772,0.001677196,0.0001923998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06220251,0.0001908277,0.9222826,0.009139381,0.0006632923,0.0004195984,0.00004741135,0.0003217681,0.004732607],"genre_scores_gemma":[0.8770367,0.000007627465,0.1221758,0.0005011583,0.0001639723,0.000004750594,0.00005208465,0.000007492622,0.00005043556],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8148342,"threshold_uncertainty_score":0.9170186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05658031693308873,"score_gpt":0.2870780996604076,"score_spread":0.2304977827273189,"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."}}