Agglomerative clustering and collectiveness measure via exponent generating function

07/30/2015
by   Wei-Ya Ren, et al.
0

The key in agglomerative clustering is to define the affinity measure between two sets. A novel agglomerative clustering method is proposed by utilizing the path integral to define the affinity measure. Firstly, the path integral descriptor of an edge, a node and a set is computed by path integral and exponent generating function. Then, the affinity measure between two sets is obtained by path integral descriptor of sets. Several good properties of the path integral descriptor is proposed in this paper. In addition, we give the physical interpretation of the proposed path integral descriptor of a set. The proposed path integral descriptor of a set can be regard as the collectiveness measure of a set, which can be a moving system such as human crowd, sheep herd and so on. Self-driven particle (SDP) model is used to test the ability of the proposed method in measuring collectiveness.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
03/18/2017

A Fast HOG Descriptor Using Lookup Table and Integral Image

The histogram of oriented gradients (HOG) is a widely used feature descr...
research
05/29/2023

Gauss quadrature for integrals and sums

Gauss quadrature integral approximation is extended to include integrals...
research
11/27/2013

Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability

In this paper, we introduce for the first time the notions of neutrosoph...
research
12/19/2016

Crowd collectiveness measure via graph-based node clique learning

Collectiveness motions of crowd systems have attracted a great deal of a...
research
09/19/2019

A numerical method for Hadamard finite-part integrals with an integral power singularity at an endpoint

In this paper, we propose a numerical method for computing Hadamard fini...
research
03/07/2023

Function-measure kernels, self-integrability and uniquely-defined stochastic integrals

In this work we study the self-integral of a function-measure kernel and...
research
05/13/2020

Adaptive Smoothing Path Integral Control

In Path Integral control problems a representation of an optimally contr...

Please sign up or login with your details

Forgot password? Click here to reset