{"id":"W2490501045","doi":"10.1007/s11856-016-1355-0","title":"On the sum of the L 1 influences of bounded functions","year":2016,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Bounded function; Multilinear map; Homogeneous; Degree (music); Combinatorics; Monotone polygon; Upper and lower bounds; Polynomial; Function (biology); Discrete mathematics; Homogeneous function; Homogeneous polynomial; Pure mathematics; Mathematical analysis; Matrix polynomial","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":[0.001518937,0.001360677,0.001538898,0.002549348,0.001392857,0.002447805,0.001881435,0.001453875,0.007036593],"category_scores_gemma":[0.01010556,0.000656835,0.0007913879,0.0009661479,0.002631568,0.00311279,0.002488146,0.002068104,0.0008221599],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001316987,"about_ca_system_score_gemma":0.0008398063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001704092,"about_ca_topic_score_gemma":0.001368826,"domain_scores_codex":[0.9986702,0.0004493919,0.00003611765,0.0001741922,0.0004539859,0.0002162233],"domain_scores_gemma":[0.9939868,0.003612193,0.0004816611,0.0002588839,0.0007177756,0.000942518],"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":[0.0002435219,0.00004857302,0.0007672165,0.0001400881,0.00005813014,0.0002780235,0.0003059184,0.01948395,0.006117194,0.9598191,0.00196251,0.01077566],"study_design_scores_gemma":[0.00005199578,0.0001067409,0.002214106,0.00007666954,0.00008829172,0.0003816176,0.0001976727,0.2260602,0.003083762,0.7640911,0.00354526,0.0001024911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.6357868,0.004591592,0.1994167,0.002725529,0.0007561514,0.00005413097,0.0002391352,0.0004936968,0.1559362],"genre_scores_gemma":[0.96978,0.001694373,0.008448533,0.0002957522,0.0007903561,0.00005253458,0.0001667472,0.000252159,0.01851949],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.007036593,"threshold_uncertainty_score":0.02353978,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08147196303050992,"score_gpt":0.3469400624802262,"score_spread":0.2654680994497163,"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."}}