{"id":"W4391321941","doi":"10.1137/23m1552231","title":"The Power of Filling in Balanced Allocations","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Discrete Mathematics","topic":"Optimization and Search Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"European Research Council; Engineering and Physical Sciences Research Council","keywords":"Mathematics; Power (physics); Combinatorics; Discrete mathematics; Mathematical economics; Mathematical optimization","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007842305,0.00006884784,0.00009890833,0.0001153022,0.0001100837,0.0003442669,0.0004901591,0.00002450921,0.00002603105],"category_scores_gemma":[0.0001351831,0.00004039666,0.00006196996,0.0003874934,0.00003522695,0.0002035451,0.00005535288,0.0002492007,0.00002723115],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003051407,"about_ca_system_score_gemma":0.00008251406,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.010232e-7,"about_ca_topic_score_gemma":0.000001594954,"domain_scores_codex":[0.9990439,0.00005030527,0.0003495367,0.00008938892,0.0003062861,0.0001605511],"domain_scores_gemma":[0.9992123,0.0003462887,0.00008051722,0.0002389732,0.00006862584,0.0000533409],"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":[0.000002506677,0.00006296133,0.00001815389,0.00006554488,0.0000298334,0.00001992256,0.006019959,0.01536626,0.0002699788,0.9735717,0.001095149,0.003478068],"study_design_scores_gemma":[0.0001498963,0.0000931195,0.00008351406,0.0005240252,0.000002946606,0.00004625327,0.0004266246,0.909537,0.0002356381,0.08542714,0.003379447,0.00009441531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002704694,0.0004992065,0.9794772,0.005983226,0.000371413,0.0001515672,0.000001937925,0.00004711111,0.01076368],"genre_scores_gemma":[0.912959,0.0005251413,0.08545081,0.000110418,0.0000302038,0.000007566337,6.351866e-7,0.00001415225,0.0009020313],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9102544,"threshold_uncertainty_score":0.3319773,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02026844332587755,"score_gpt":0.2940535587910843,"score_spread":0.2737851154652067,"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."}}