In jtrinka/Rfssa_dev: Functional Singular Spectrum Analysis

Side Bar Panel

Contains the inputs that will be used in different sub-panels. The following inputs will be used in sub-panels Basis Functions (to generate the basis functions), Data Description (for Smoothing, FPCA, SSA and FSSA):

• Degree of B-spline Basis
• Deg. of freedom of B-spline or Fourier Basis
• Groups: 3rd step of the SSA(FSSA) algorithm:
  • Each group is specified via a vector (e.g. 'c(1,2,4)' or '1:3') and seperated from other groups via comma (',')
• d is the dimensions used in FPCA, SSA and FSSA (Scree, W.Correlation, Paired, Singular Vectors & Functions, and Periodogram Plots)
• Functions
  • Demean: Subtract the mean to obtain mean-zero functions
  • Dbl Range: extending the y-axis to cover all potential mirrord functions (e.g. sometime FPCs may get multiply by a '-' sign)
• Win.L.: Window length parameter used in SSA and FSSA
• run (F)SSA button is used to run SSA and FSSA using the specified parameters for the given dataset. The top inputs (above red line) are mostly to describe the basis functions. The bottom inputs (below red line) are used to specify SSA and FSSA parameters.

Main Panel

Data

One can either use the files posted in Server

• Callcenter: used in the FSSA paper (package)
• NDVI and EVI: Jambi Sattelite data used in the FSSA paper (package)

or simulate FTS (see FSSA paper for more details),

or upload any FTS to be analyzed.

Basis Functions

• Using a visualization technique, we illustrate the B-spline (or Fourier) basis that is used in the algorithm.

Data Description (SSA Summary)

Summary of the data:

• Functional Time Series: Provide a lot of visualizations to describe the data.
• Plot Choices:
  • All: Cobmines all FTS
  • Multiple: Combine FTS at different Period(frequency) together and the combined clusters can be tracked by the end user
  • Single: Track FTS individually
• Plots:
  • Time Series: provides the observed FTS
  • True Functions: provides the TRUE FTS (in the case of simulation)
  • Basis Functions: embeddes th basis functions on top of FTS
  • Smoothing: provides the results of smoothing via basis functions
  • Functional PCA: provides FPCA resuls from the fda package
  • Multivariate SSA: provides MSSA resuls from the Rssa package
  • Functional SSA: provides FSSA resuls from the Rfssa package
• How many basis? (GCV): provides the optimal number of basis based on GCV criteria.

In this panel we can also select outputs under SSA and FSSA:

• Scree plot: based on the trajectory matrix
• W.Correlation plot: w-correlation plot
• Paired plots
• Singular Vectors plots
• Periodogram plots
• Singular Functions (Heat or Regular plots)
• Reconstruction of FTS using different Type of plots (Heat, Regular, 3D(line) and 3D(surface))

Manual

The sub-panel that contains this instruction manual.

jtrinka/Rfssa_dev documentation built on Dec. 21, 2021, 4:14 a.m.