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Table 6 
Summary of statistics for the COCO image data set.
 TokensVocab.Vocabulary PopulationLong Memory
Zipf’s Law f(r) ∝ r−αHeaps’ Law v(n) ∝ nβEbeling’s Method m(l) ∝ lηTaylor’s Law σ ∝ μζLong Range Correlation c(s) ∝ s−ξ
Image COCO (English, collection of image caption) 
original data set 105,933 6,095 Yes 0.76 (0.09) 0.99 (0.03) 0.50 (0.04) No 
 TokensVocab.Vocabulary PopulationLong Memory
Zipf’s Law f(r) ∝ r−αHeaps’ Law v(n) ∝ nβEbeling’s Method m(l) ∝ lηTaylor’s Law σ ∝ μζLong Range Correlation c(s) ∝ s−ξ
Image COCO (English, collection of image caption) 
original data set 105,933 6,095 Yes 0.76 (0.09) 0.99 (0.03) 0.50 (0.04) No 
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