ZHOU Yue, YANG Jie. Research of the Optimized Algorithm for the Calculation of Correlation Integrals[J]. Acta Electronica Sinica, 2002, 30(10): 1526-1529.
DOI:
ZHOU Yue, YANG Jie. Research of the Optimized Algorithm for the Calculation of Correlation Integrals[J]. Acta Electronica Sinica, 2002, 30(10): 1526-1529.DOI:
Research of the Optimized Algorithm for the Calculation of Correlation Integrals
based on the canonical algorithm of calculation of the correlation integrals
this paper not only provides several improvements
but also puts forward two optimized algorithms.The algorithms are based on the region of embedded dimension and region of distance threshold.They are filled in table of (
m
max
is number of embedded dimension
r
max
is number of distance threshold) by batch methods giving up the one by one processing methods.In this paper
the theory and algorithm are narrated in detail.The performance of two optimal algorithms is compared with canonical algorithm and improvement method.The experimental result shows that optimal algorithms need least time to calculate the correlation dimension for same length time series with same number of distance threshold and embedded dimension since they have little redundant calculations and enhance the