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Data Piling

Eric Bridgeford

2020-06-25

require(lolR)
## Loading required package: lolR
require(ggplot2)
## Loading required package: ggplot2
require(MASS)
## Loading required package: MASS
n=400
d=30
r=3

Data for this notebook will be n=400 examples of d=30 dimensions.

DP

Stacked Cigar Simulation

We first visualize the first 2 dimensions:

testdat <- lol.sims.cigar(n, d)
X <- testdat$X
Y <- testdat$Y

data <- data.frame(x1=X[,1], x2=X[,2], y=Y)
data$y <- factor(data$y)
ggplot(data, aes(x=x1, y=x2, color=y)) +
  geom_point() +
  xlab("x1") +
  ylab("x2") +
  ggtitle("Simulated Data")

Projecting with MDP to K-1=1 dimension and visualizing:

result <- lol.project.dp(X, Y)

data <- data.frame(x1=result$Xr[,1], y=Y)
data$y <- factor(data$y)
ggplot(data, aes(x=x1, y=y, color=y)) +
  geom_point() +
  xlab("x1") +
  ylab("Class") +
  ggtitle("Projected Data using MDP")

Trunk Simulation

We visualize the first 2 dimensions:

testdat <- lol.sims.rtrunk(n, d)
X <- testdat$X
Y <- testdat$Y

data <- data.frame(x1=X[,1], x2=X[,2], y=Y)
data$y <- factor(data$y)
ggplot(data, aes(x=x1, y=x2, color=y)) +
  geom_point() +
  xlab("x1") +
  ylab("x2") +
  ggtitle("Simulated Data")

Projecting with MDP to K-1=1 dimensions and visualizing:

result <- lol.project.dp(X, Y)

data <- data.frame(x1=result$Xr[,1], y=Y)
data$y <- factor(data$y)
ggplot(data, aes(x=x1, y=y, color=y)) +
  geom_point() +
  xlab("x1") +
  ylab("Class") +
  ggtitle("Projected Data using MDP")

Rotated Trunk Simulation

We visualize the first 2 dimensions:

testdat <- lol.sims.rtrunk(n, d, rotate=TRUE)
X <- testdat$X
Y <- testdat$Y

data <- data.frame(x1=X[,1], x2=X[,2], y=Y)
data$y <- factor(data$y)
ggplot(data, aes(x=x1, y=x2, color=y)) +
  geom_point() +
  xlab("x1") +
  ylab("x2") +
  ggtitle("Simulated Data")

Projecting with MDP to K-1=1 dimensions and visualizing:

result <- lol.project.dp(X, Y)

data <- data.frame(x1=result$Xr[,1], y=Y)
data$y <- factor(data$y)
ggplot(data, aes(x=x1, y=y, color=y)) +
  geom_point() +
  xlab("x1") +
  ylab("Class") +
  ggtitle("Projected Data using MDP")

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.