Data normalization

Data normalization

Normalization

1 Max-Min

for(ii in 1:ncol(a))
{a[,ii] <- (a[,ii]-min(a[,ii]))/(max(a[,ii])-min(a[,ii]))}

2 z-score

for(ii in 1:ncol(a))
{a[,ii] <- (a[,ii]-mean(a[,ii]))/sd(a[,ii])}

3 Soft-max_Normalization

for(ii in 1:ncol(a))
{a[,ii] <- pnorm((a[,ii]-mean(a[,ii]))/sd(a[,ii]))}

4 Logistic/Softmax

for(ii in 1:ncol(a))
{a[,ii] <- 1/(1+ exp(-a[,ii]))

5 模糊量化模式

for(ii in 1:ncol(a))
{x<- a[,ii]
a[,ii] <- x <- 1/2 +1/2sin(pi/(max(x)-mean(x))(x-max(x)-mean(x)/2)) *x}

6 log

for(ii in 1:ncol(a))
{
a[,ii][which(a[,ii]>0)] <- log(a[,ii][which(a[,ii]>0)],10)/log(max(a[,ii]),10)
a[,ii][which(a[,ii]<0)] <- log(a[,ii][which(a[,ii]<0)](-1),10)(-1)/log(mean(a[,ii]) *(-1))}

7 atan

for(ii in 1:ncol(a))
{
a[,ii][which(a[,ii]>0)] <- atan(a[,ii][which(a[,ii]>0)])*2/pi
a[,ii][which(a[,ii]<0)] <- atan(a[,ii][which(a[,ii]<0)])2/pi (-1)}

8 Logistic/Softmax

## Something wrong with this 1/2+ 1/2sim(pi/max())