Purpose
detect the dynamics in time series of their correlation
Methodology
1. calculate correlation coefficients
2. Network construction:
i. node: AAB, ABC, etc. totally 5^3=125个nodes. 但是不是所有的mode情况都会出现,于是the number of nodes 是个随机数, 并且满足<125.
ii. edge: 如果出现了从mode1到mode2的转变则增加一条mode1---->mode2 的边.
iii. weight: mode1---->mode2的转变出现的次数.
3. clustering:
Results:
1. major modes: high outdegree nodes.
interpretation: The higher the weighted outdegree, the more important the node is.
2. evolution dynamics of correlation modes.
i. total 6 clusters and shows the evolution relations between clusters.
ii. the evolution of one cluster over time.
........More.......
Lacking: lack the interpretation of each clusters, just showed there are 6 clusters and the transfer probability between clusters.
Supplementary knowledge:
1. sensitivity analysis; 敏感度分析
sensitivity analysis is the study of how the uncertainty in the output of a mathematical model or system (numerical or otherwise) can be divided and allocated to different sources of uncertainty in its inputs.[1][2]