# SVDplot: Singular value decomposition plot In rainbow: Bagplots, Boxplots and Rainbow Plots for Functional Data

## Description

The singular value decomposition (SVD) plot of Zhang et al. (2007) captures the changes in the singular columns as the number of curves gradually increases.

## Usage

 ```1 2``` ```SVDplot(object, order = 3, plot = TRUE, plot.type = c("fts", "image"), mfrow = c(2, 3)) ```

## Arguments

 `object` An object of `fds`. `order` Number of Singular Value Decomposition (SVD) components. The maximum order is 4. `plot` Is graphical display required? `plot.type` Plot functional time series or images? `mfrow` Grid of graphics.

## Details

By using the SVD, Zhang et al. (2007) proposed a plot for visualizing patterns of functional time series. They considered a set of curves as a two-way `(p * n)` data matrix, where `p` is the total number of covariates and `n` is the total number of curves.

The main advantage of this dynamic plot is to visualize both column and row information of a two-way matrix simultaneously, relate the matrix to the corresponding curves, show local variations, and highlight interactions between columns and rows of a two-way matrix.

## Value

When `plot = TRUE`, it returns a plot.

When `plot = FALSE`, it returns the following:

 `svds` A number of singular value decomposition ordered by the amount of explained variation. `reconstruction` Reconstruction of the original data using the SVD. `residual` Residual of the original data.

## Note

MATLAB code is available at http://www.stat.purdue.edu/~lingsong/research/network/SVDmovie/index.html.

Using the animate package of Grahn(2011), a set of dynamic movies can be created to visualize the changes in singular rows and singular columns.

## Author(s)

Han Lin Shang. Please, report bugs and suggestions to [email protected]

## References

L. Zhang, J. Marron, H. Shen and Z. Zhu (2007) "Singular value decomposition and its visualization", Journal of Computational and Graphical Statistics, 16(4), 833-854.

A. Grahn (2011) "The animate Package", http://ctan.unsw.edu.au/macros/latex/contrib/animate/animate.pdf.

## See Also

`fboxplot`, `svd`

## Examples

 ```1 2``` ```SVDplot(ElNino_OISST_region_1and2) SVDplot(ElNino_OISST_region_1and2, plot.type = "image") ```

rainbow documentation built on May 2, 2019, 3:30 p.m.