Prerona Dutta

Works (2)

Updated: July 5th, 2023 15:34

2021 journal article

METRIC ENTROPY FOR FUNCTIONS OF BOUNDED TOTAL GENERALIZED VARIATION

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 53(1), 1168–1190.

By: R. Capuani  n, P. Dutta n & K. Nguyen  n

author keywords: metric entropy; doubling dimension; total generalized variation
TL;DR: A sharp estimate is established for a minimal number of binary digits needed to represent all bounded total generalized variation functions taking values in a general totally bounded metric space up to an accuracy of $\varepsilon>0$ with respect to the ${\bf L}^1$-distance. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: March 29, 2021

2018 journal article

Covering numbers for bounded variation functions

Journal of Mathematical Analysis and Applications, 468(2), 1131–1143.

By: P. Dutta n & K. Nguyen  n

Contributors: P. Dutta n & K. Nguyen  n

author keywords: The epsilon-entropy; Bounded variation functions
TL;DR: Upper and lower estimates for the minimal number of functions needed to represent a bounded variation function with an accuracy of epsilon with respect to ${\bf L}^1$-distance are provided. (via Semantic Scholar)
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Sources: Web Of Science, Crossref, ORCID, NC State University Libraries
Added: October 16, 2018

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