The reconstruction itself involves creating time-delayed copies of the time series of a variable that become the surrogate dimensions of a multi-dimensional phase space.
The choice for embedding dimension was based on global False Nearest Neighbor analysis (Kennel, Brown, & Abarbanel, 1992), which reveals how much information would be gained by adding additional surrogate dimensions.
Employing the streamflow data of the Saugeen River in Ontario, Canada, this paper illustrates the use of the autocorrelation functions, mutual information, power spectrum analysis, phase space reconstruction, correlation dimension, surrogate tests, and Hurst coefficients for the analysis of chaotic systems.
Recognizing the perfused boundary region of microcirculatory vessels as a surrogate measure for the dimension of the glycocalyx, we could not detect any hyperoxia-induced alterations.
In the SVA-adjusted approach, we used the R package SVA (version 3.6.0) both to compute the dimension of the surrogate variables and to determine the surrogate variables themselves.
A tubular surrogate humerus was produced with dimension and strength matched to that of the human humerus.
Note that the IBW was kept as a surrogate of the normal lung dimensions expected in each individual.
Previous studies have addressed the small airways disease component in COPD by quantitative CT, but used large airway wall dimensions as a surrogate for small airways disease [ 28].
17 Although change in LV dimensions is a surrogate marker for clinical benefit, it has consistently been shown to predict the effect of HF therapies on cardiovascular events and overall mortality.
Teschendorff et al. (2011) propose a method for estimating the dimension of a latent surrogate variable using random matrix theory (RMT); application of their algorithm to the matrix is one simple approach for estimating d.
