Combine minimum values of row and column in matrix - r

Suppose I have a vector of size n=8 v=(5,8,2,7,9,12,2,1). I would like to know how to build a N x N matrix that compares every pair of values of v and returns the minimum value of each comparation. In this example, it would be like this:
5 5 2 5 5 5 2 1
5 8 2 7 8 8 2 1
2 2 2 2 2 2 2 1
5 7 2 7 7 7 2 1
5 8 2 7 9 9 2 1
5 8 2 7 9 12 2 1
2 2 2 2 2 2 2 1
1 1 1 1 1 1 1 1
Could you help me with this, please?

outer(v, v, pmin)
Notice the use of pmin, not min, as the former is vectorised but not the latter.

Related

Transforming a looping factor variable into a sequence of numerics

I have a factor variable with 6 levels, which simplified looks like:
1 1 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 1 1 1 2 2 2 2... 1 1 1 2 2... (with n = 78)
Note, that each number is repeated mostly but not always three times.
I need to transform this variable into the following pattern:
1 1 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8...
where each repetition of the 6 levels continuous counting ascending.
Is there any way / any function that lets me do that?
Sorry for my bad description!
Assuming that you have a numerical vector that represents your simplified version you posted. i.e. x = c(1,1,1,2,2,3,3,3,1,1,2,2), you can use this:
library(dplyr)
cumsum(x != lag(x, default = 0))
# [1] 1 1 1 2 2 3 3 3 4 4 5 5
which compares each value to its previous one and if they are different it adds 1 (starting from 1).
Maybe you can try rle, i.e.,
v <- rep(seq_along((v<-rle(x))$values),v$lengths)
Example with dummy data
x = c(1,1,1,2,2,3,3,3,4,4,5,6,1,1,2,2,3,3,3,4,4)
then we can get
> v
[1] 1 1 1 2 2 3 3 3 4 4 5 6 7 7 8 8 9 9
[19] 9 10 10
In base you can use diff and cumsum.
c(1, cumsum(diff(x)!=0)+1)
# [1] 1 1 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8
Data:
x <- c(1,1,2,2,2,3,3,3,4,4,4,4,5,5,5,6,6,6,1,1,1,2,2,2,2)

Group by each increasing sequence in data frame

If I have a data frame with a column of monotonically increasing values such as:
x
1
2
3
4
1
2
3
1
2
3
4
5
6
1
2
How do I add a column to group each increasing sequence that results in:
x y
1 1
2 1
3 1
4 1
1 2
2 2
3 2
1 3
2 3
3 3
4 3
5 3
6 3
1 4
2 4
I can only think of using a loop which will be slow.
You may choose cumsum function to do it.
> x <- c(1,2,3,4,1,2,3,1,2,4,5,1,2)
> cumsum(x==1)
[1] 1 1 1 1 2 2 2 3 3 3 3 4 4
I would use diff and compute the cumulative sum:
df$y <- c(1, cumsum(diff(df$x) < 0 ) + 1)
> df
x y
1 1 1
2 2 1
3 3 1
4 4 1
5 1 2
6 2 2
7 3 2
8 1 3
9 2 3
10 3 3
11 4 3
12 5 3
13 6 3
14 1 4
15 2 4

Sequentially remove vector elements

I want to replicate a vector with one value within this vector is missing (sequentially).
For example, my vector is
value <- 1:7
First, the series is without 1, second without 2, and so on. In the end, the series is in one vector.
The intended output looks like
2 3 4 5 6 7 1 3 4 5 6 7 1 2 4 5 6 7 1 2 3 5 6 7 1 2 3 4 6 7 1 2 3 4 5 6
Is there any smart way to do this?
You could use the diagonal matrix to set up a logical vector, using it to remove the appropriate values.
n <- 7
rep(1:n, n)[!diag(n)]
# [1] 2 3 4 5 6 7 1 3 4 5 6 7 1 2 4 5 6 7 1 2 3 5 6 7 1 2 3 4 6 7 1 2 3 4 5
# [36] 7 1 2 3 4 5 6
Well, you can certainly do it as a one-liner but I am not sure it qualifies as smart. For example:
x <- 1:7
do.call("c", lapply(as.list(-1:-length(x)), function(a)x[a]))
This simple uses lapply to create a list of copies of x with each of its entries deleted, and then concatenates them using c. The do.call function applies its first argument (a function) to its second argument (a list of arguments to the function).
For fun, it's also possible to just use rep:
> n <- 7
> rep(1:n, n)[rep(c(FALSE, rep(TRUE, n)), length.out=n^2)]
[1] 2 3 4 5 6 7 1 3 4 5 6 7 1 2 4 5 6 7 1 2 3 5 6 7 1 2 3 4 6 7 1 2 3 4 5 7 1 2
[39] 3 4 5 6
But lapply is cleaner, I think.
You could also do:
n <- 7
rep(seq(n), n)[-seq(1,n*n,n+1)]
#[1] 2 3 4 5 6 7 1 3 4 5 6 7 1 2 4 5 6 7 1 2 3 5 6 7 1 2 3 4 6 7 1 2 3 4 5 7 1 2 3 4 5 6

r repeat sequence number sequence while keeping the order of the sequence

I want repeat a sequence for specific length:
Sequence is 1:4 and I want to repeat the sequence till number of rows in a data frame.
Lets say length of the data frame is 24
I tried following:
test <- rep(1:4, each=24/4)
1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4
Lengthwise this is fine but i want to retain the sequence
1 2 3 4 1 2 3 4 1 2 3 4.....
You need to use times instead of each
rep(1:4, times=24/4)
[1] 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
We can just pass it without any argument and it takes the times by default
rep(1:4, 24/4)
#[1] 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4

Create set of matrices from concatenating columns of another matrix in r

I have two matrices A and B of dimension 5 by 3 and 5 by 2, respectively. I want to produce series of matrices combining each column of matrix B to A. The dimensions of the resulting matrices would be 5 by 4
Let A be
1 2 3
4 5 6
7 8 9
2 3 1
4 1 5
and B be
1 2
2 5
3 8
6 3
2 1
Then the resulting matrices are
1 2 3 1
4 5 6 2
7 8 9 3
2 3 1 6
4 1 5 2
and
1 2 3 2
4 5 6 5
7 8 9 8
2 3 1 3
4 1 5 1
Use our old friend the assignment operator. Assigning 1st column of B to 4th of A:
A[, 4] <- B[, 1]
> A
V1 V2 V3 V4
1 1 2 3 1
2 4 5 6 2
3 7 8 9 3
4 2 3 1 6
5 4 1 5 2
Then A[, 4] <- B[, 2], etc.

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