**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 ...

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