Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Data-Independent Properties for Density-Based Dissimilarity Measures
  in Hybrid Clustering   Hybrid clustering combines partitional and hierarchical clustering for
computational effectiveness and versatility in cluster shape. In such
clustering, a dissimilarity measure plays a crucial role in the hierarchical
merging. The dissimilarity measure has great impact on the final clustering,
and data-independent properties are needed to choose the right dissimilarity
measure for the problem at hand. Properties for distance-based dissimilarity
measures have been studied for decades, but properties for density-based
dissimilarity measures have so far received little attention. Here, we propose
six data-independent properties to evaluate density-based dissimilarity
measures associated with hybrid clustering, regarding equality, orthogonality,
symmetry, outlier and noise observations, and light-tailed models for
heavy-tailed clusters. The significance of the properties is investigated, and
we study some well-known dissimilarity measures based on Shannon entropy,
misclassification rate, Bhattacharyya distance and Kullback-Leibler divergence
with respect to the proposed properties. As none of them satisfy all the
proposed properties, we introduce a new dissimilarity measure based on the
Kullback-Leibler information and show that it satisfies all proposed
properties. The effect of the proposed properties is also illustrated on
several real and simulated data sets.

22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
2
The categories of this paper are: math
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas