81 citations · 216 across the 10 of their papers we have counts for
5 papers · 1 filter
Multiscale characterization of recurrence-based phase space networks constructed from time series
Ruoxi Xiang, Jie Zhang, Xiao-ke Xu +1
Recently, a framework for analyzing time series by constructing an associated complex network has attracted significant research interest. One of the advantages of the complex netw…
Dynamics and Synchrony from Oscillatory Data via Dimension Reduction
J. Zhang, K. Zhang, J. Feng +3
Complex, oscillatory data arises from a large variety of biological, physical, and social systems. However, the inherent oscillation and ubiquitous noise pose great challenges to c…
Asymptotically pivotal statistic for surrogate testing with extended hypothesis
Xiaodong Luo, Jie Zhang, Junfeng Sun +2
The method of surrogate data provides a framework for testing observed data against a hierarchy of alternative hypotheses. The aim of applying this method is to exclude the possibi…
Exact nonparametric inference for detection of nonlinear determinism
Xiaodong Luo, Jie Zhang, Michael Small +1
We propose an exact nonparametric inference scheme for the detection of nonlinear determinism. The essential fact utilized in our scheme is that, for a linear stochastic process wi…
Optimal phase space projection for noise reduction
Xiaodong Luo, Jie Zhang, Michael Small
In this communication we will re-examine the widely studied technique of phase space projection. By imposing a time domain constraint (TDC) on the residual noise, we deduce a more…