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Table 1 Weight functions

From: Clues from networks: quantifying relational risk for credit risk evaluation of SMEs

Weight function

Formula

Inverse degree

\(s_{k} = 1/d_{k}\)

Inverse frequency

\(s_{k} = \log_{10} (N/d_{k}\))

Hyperbolic tangent

\(s_{k} = {\text{tanh}}\left( {1/d_{k} } \right)\)

Adamic and Adar

\(s_{k} = 1/\log_{10} d_{k}\)

Class-degree ratio

\(s_{k} = d_{k}^{c} /d_{k}\)

  1. k represents the resource, sk represents the weight of the resource k, dk refers to the degree of the resource k (i.e., the number of links), N represents the number of firms in the network, and \(d_{k}^{c}\) refers to the degree of resource k linking to different classes.