Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergent and Anti-diffusive Properties of Mean-Shift Method   An analytic framework based on partial differential equations is derived for
certain dynamic clustering methods.
  The proposed mathematical framework is based on the application of the
conservation law in physics to characterize successive transformations of the
underlying probability density function. It is then applied to analyze the
convergence and stability of mean shift type of dynamic clustering algorithms.
Theoretical analysis shows that un-supervised mean-shift type of algorithm is
intrinsically unstable. It is proved that the only possibility of a correct
convergence for unsupervised mean shift type of algorithm is to transform the
original probability density into a multivariate normal distribution with no
dependence struture. Our analytical results suggest that a more stable and
convergent mean shift algorithm might be achieved by adopting a judiciously
chosen supervision mechanism.

36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an