interest rates;
data clustering;
correlations;
econophysics;
D O I:
10.1016/j.physa.2005.02.063
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
We propose a general method to study the hierarchical organization of financial data by embedding the structure of their correlations in metric graphs in multi-dimensional spaces. An application to two different sets of interest rates is discussed by constructing triangular embeddings on the sphere. Three-dimensional representations of these embeddings with the correct metric geometry are constructed and visualized. The resulting graphs contain the minimum spanning tree as a sub-graph and they preserve its hierarchical structure. This produces a clear cluster differentiation and allows us to compute new local and global topological quantities. (c) 2005 Elsevier B.V. All rights reserved.