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som.nn (version 1.4.4)

dist.fun.tricubic: Tricubic distance functions for topological k-NN classifier

Description

The tricubic function is used as distance-dependent weight \(w\) for k-NN voting.

Usage

dist.fun.tricubic(x, sigma = 1)

Value

  Distance-dependent weight.

Arguments

x

Distance or numeric vector or matrix of distances.

sigma

Maximum distance to be considered.

Details

The function returns 1.0 for \(x = 0\), 0.0 for \(x \ge \sigma\) and

$$w(x) = (1 - x^3 / \sigma^3)^3$$

for \(0 < x < \sigma\).