{"id":"W4385884287","doi":"10.4064/aa220728-7-6","title":"A new bound for Erdős’ minimum overlap problem","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Facility Location and Emergency Management","field":"Business, Management and Accounting","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Intersection (aeronautics); Upper and lower bounds; Translation (biology); Discrete mathematics; Mathematical analysis; Chemistry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003884006,0.002191153,0.002618681,0.003044127,0.002459794,0.005461113,0.005650491,0.002787599,0.01858783],"category_scores_gemma":[0.01729654,0.001028258,0.001952821,0.004587579,0.00306652,0.01496121,0.00779831,0.008041007,0.003728669],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004184389,"about_ca_system_score_gemma":0.002005086,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001823248,"about_ca_topic_score_gemma":0.001858868,"domain_scores_codex":[0.9944565,0.001228273,0.0002475439,0.001116693,0.002018833,0.0009320788],"domain_scores_gemma":[0.9899321,0.006683341,0.0004588399,0.001327972,0.0009370351,0.0006608089],"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":[0.0005588299,0.0001780615,0.0009758191,0.000561705,0.0001061529,0.0002010715,0.0003645448,0.05855949,0.004683214,0.8331081,0.03259446,0.06810846],"study_design_scores_gemma":[0.0001082528,0.0001402978,0.0006007168,0.0001566685,0.0000927718,0.0002891254,0.0001831487,0.1620443,0.003356511,0.7828511,0.05010697,0.00007023857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04013053,0.006035706,0.8100565,0.007175648,0.001096019,0.0001783218,0.001616161,0.0009747332,0.1327364],"genre_scores_gemma":[0.545088,0.007436537,0.3783945,0.003761434,0.003372593,0.001254745,0.003623028,0.001494482,0.05557473],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01858783,"threshold_uncertainty_score":0.06218249,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03326741595575199,"score_gpt":0.256718901397447,"score_spread":0.223451485441695,"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."}}