DENsity-based CLUstEring (DENCLUE) is a density-based clustering algorithm that depends on the support of density-distribution functions.
Before a detailed explanation on the DENCLUE algorithm, some concepts need to be introduced; they are influence function, density function, gradient, and density attractor.
The influence function of a specific data object can be any function for which the Gaussian kernel is usually used as the kernel at the data point.
The density function at a point, x, is defined as the sum of the influence functions of all the data objects at this data point.
A point is defined as a density attractor if it is a local maximum of the density function and is computed as
A gradient ...