Run svd on digits data

Last updated: 2018-04-19

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Here we read in the “zipcode” training data, and extract the 2s and 3s.

z = read.table("data/zip.train.txt")
sub = (z[,1] == 2) | (z[,1]==3)
z23 = as.matrix(z[sub,])

Now we run svd (excluding the first column which are the labels)

z23.svd = svd(z23[,-1])

Plot the first two two singular vectors, colored by group, we see the second sv separates the groups reasonably well.

plot(z23.svd$u[,1],z23.svd$u[,2],col=z23[,1])

And a histogram suggests a mixture of two Gaussians might be a reasonable start:

hist(z23.svd$u[,2],breaks=seq(-0.07,0.07,length=20))

sessionInfo()

R version 3.3.2 (2016-10-31)
Platform: x86_64-apple-darwin13.4.0 (64-bit)
Running under: OS X El Capitan 10.11.6

locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

loaded via a namespace (and not attached):
 [1] workflowr_0.11.0.9000 Rcpp_0.12.14          digest_0.6.13        
 [4] rprojroot_1.3-2       R.methodsS3_1.7.1     backports_1.1.2      
 [7] git2r_0.21.0          magrittr_1.5          evaluate_0.10.1      
[10] stringi_1.1.6         whisker_0.3-2         R.oo_1.21.0          
[13] R.utils_2.6.0         rmarkdown_1.8         tools_3.3.2          
[16] stringr_1.2.0         yaml_2.1.16           htmltools_0.3.6      
[19] knitr_1.18           

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