New bounds for soft margin estimator via concavity of Gaussian weighting function

In the present article, we elaborate on the notion to obtain bounds for the soft margin estimator of “Identification of Patient Zero in Static and Temporal Network-Robustness and Limitations”. To achieve these bounds for the soft margin estimator, we utilize the concavity of the Gaussian weighting function and well-known Jensen’s inequality. To acquire some more general bounds for the soft margin estimator, we consider some general functions defined on rectangles. We also use the behavior of the Jaccard similarity function to extract some handsome bounds for the soft margin estimator. © 2020, The Author(s).

Authors
Ullah H.1 , Adil Khan M. , Pečarić J. 2
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Number
644
Volume
2020
Year
2020
Organizations
  • 1 Department of Mathematics, University of Peshawar, Peshawar, 25000, Pakistan
  • 2 2-RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Concave function; Gaussian weighting function; Jaccard similarity function; Jensen’s inequality; Soft margin estimator
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