{"id":"W4386792249","doi":"10.48550/arxiv.2309.06554","title":"An improved protocol for ExactlyN with more than 3 players","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fundação para a Ciência e a Tecnologia; Israel Science Foundation; European Commission","keywords":"Constructive; Randomness; Combinatorics; Communication complexity; Mathematics; Term (time); Computer science; Order (exchange); Protocol (science); Discrete mathematics; Field (mathematics); Point (geometry); Theoretical computer science; Pure mathematics; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002677392,0.000422739,0.0003681151,0.0003429788,0.0003046471,0.0002644352,0.002974053,0.0002633174,0.000009703049],"category_scores_gemma":[0.00001545313,0.0004220929,0.0002347699,0.0007071072,0.0001875605,0.0005330265,0.001266049,0.0005200128,0.00001598338],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001225977,"about_ca_system_score_gemma":0.0003241994,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002522967,"about_ca_topic_score_gemma":0.0002207028,"domain_scores_codex":[0.9975094,0.00007681149,0.0001976686,0.001567555,0.0001235164,0.0005251126],"domain_scores_gemma":[0.9972815,0.0001281274,0.000272242,0.001855602,0.0002120426,0.0002504649],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.002502126,0.001717558,0.008211982,0.002232388,0.001115928,0.001465916,0.003419065,0.3819119,0.0003093064,0.584655,0.00259456,0.009864268],"study_design_scores_gemma":[0.001534731,0.0004913266,0.001661474,0.0001533723,0.00003548714,0.000004615842,0.0001512219,0.9488025,0.0002117745,0.04505096,0.001212323,0.0006902476],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008132366,7.467288e-7,0.9303993,0.0001140921,0.0002857929,0.05986923,0.00005872821,0.0008884592,0.0002512645],"genre_scores_gemma":[0.8629201,0.000007115436,0.09805273,0.0003167439,0.0005507718,0.03234009,0.0001297344,0.0001997844,0.005482911],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8547878,"threshold_uncertainty_score":0.9998231,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1440938354312595,"score_gpt":0.2510016155646354,"score_spread":0.1069077801333759,"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."}}