KDB: set difference - set

How can one find set (data structure) difference in KDB?
Example:
a: 1 2 3 4
b: 2 3
expected result: 1 4. Simple guesses like a-b or a _ b do not work.
Thank you very much for your help!

You're after the keyword except
q)a:1 2 3 4;b:2 3
q)a except b
1 4

Keyword you are looking for is except
except[b;a],except[a;b]
https://code.kx.com/q/ref/except/
Edit: fyi 1 except will not cover all differences if b has values not in a:
q)b,:10
q)except[a;b]
1 4
q)except[a;b],except[b;a]
1 4 10

Related

Ranking over each matrix column's sort in julia

I have a matrix (m) of scores for 4 students on 3 different exams.
4 3 1
3 2 5
8 4 6
1 5 2
I want to know, for each student, the exams they did best to worse on. Desired output:
1 2 3
2 3 1
1 3 2
3 1 2
Now, I'm new to the language (and coding in general), so I read GeeksforGeeks' page on sorting in Julia and tried
mapslices(sortperm, -m; dims = 2)
However, this gives something subtly different: a matrix of each row being the index of the sorting.
1 2 3
3 1 2
1 3 2
2 3 1
Perhaps it was obvious, but I now realize this is not actually what I want, but I cannot find a built-in function/fast way to complete this operation. Any ideas? Preferably something which doesn't iterate through items in the matrix/row, as in reality my matrix is very, very large. Thanks!
Such functionality is provided by StatsBase.jl. Here is an example:
julia> using StatsBase
julia> m = [4 3 1
3 2 5
8 4 6
1 5 2]
4×3 Array{Int64,2}:
4 3 1
3 2 5
8 4 6
1 5 2
julia> mapslices(x -> ordinalrank(x, rev=true), m, dims = 2)
4×3 Array{Int64,2}:
1 2 3
2 3 1
1 3 2
3 1 2
You might want to use other rank, depending on how you want to split ties, see here for details.
Figured out something which works!
Run m_index_rank = mapslices(sortperm, -m; dims = 2) on the matrix and get a ranking for each row through index. Then, realizing this is, in each row, an inverse permutation away from the desired output, run mapslices(invperm, m_index_rank; dims = 2) for the desired result.
In one line, this is mapslices(r -> invperm(sortperm(r, rev=true)), m; dims=2) over the desired matrix m. dims = 2 is to carry out the operation row-wise.
I'm marking this resolved for now, but please let me know if there are cleaner/faster ways to do this.
Edit: Replaced my syntactically clunky mapslices(invperm, mapslices(sortperm, -m; dims = 2); dims = 2) with a more natural one, thanks to #phipsgabler

diagonal value in co-occurrence matrix

I am so newbie and thank you so much in advance for advice
I want to make co-occurrence matrix, and followed link below
How to use R to create a word co-occurrence matrix
but I cannot understand why value of A-A is 10 in the matirx below
It should be 4 isn't it? because there are four A
dat <- read.table(text='film tag1 tag2 tag3
1 A A A
2 A C F
3 B D C ', header=T)
crossprod(as.matrix(mtabulate(as.data.frame(t(dat[, -1])))))
( ) A C F B D
A 10 1 1 0 0
C 1 2 1 1 1
F 1 1 1 0 0
B 0 1 0 1 1
D 0 1 0 1 1
The solution you use presumes each tag appears only once per film, which jives with the definition of a co-occurrence matrix as far as I can tell. Therefore, each A on the first line gets counted as co-occurring with itself and with the other two As, resulting in a total of ten co-occurences when factoring in the A on the second line.

Filter on google sheets minimum across columns

Hi I am trying to do get some data displayed using FILTER function in google sheets.
What i want is the minimum value across 3 columns on 1 row.
Is this possible?
For example:
A 1 6 10
B 3 5 9
C 4 4 8
D 5 3 7
A 2 1 6
Filter on A should give:
A 1
A 1
Filter on B should give:
B 3
I would really like to use filter function but =filter({A:A,min(B:D)},A:A="A") doesn't work.
Maybe, if your three (labelled) columns are A, B and C:
=filter(A2:C2,A2:C2=min(A2:C2))
but in that case filter would be overkill.

openblas sgemv CblasRowMajor implementation returns wrong results (cblas_sgemv)

I did some test using cblas_sgemv in openblas and found that it returned a wrong result in my test case.
A is
1 2
3 4
5 6
B is
1 2
The output C should be 5 11 17
But, it outputs 5 14 0
Here is the sample code.
https://docs.google.com/document/d/15mCkfcQuruQxi4CjvVkoK2jfgnG2w3izd0wMFMW6UOk/edit?usp=sharing
the lda parameter seems to be wrong. since the order is CblasRowMajor it should be 2 (number of columns) instead of 3 (number of rows).
cf. https://stackoverflow.com/a/30208420/6058571

improve the performance of the code with fewer number of operations

There are two vectors:
a = 1:5;
b = 1:2;
in order to find all combinations of these two vectors, I am using the following piece of code:
[A,B] = meshgrid(a,b);
C = cat(2,A',B');
D = reshape(C,[],2);
the result includes all the combinations:
D =
1 1
2 1
3 1
4 1
5 1
1 2
2 2
3 2
4 2
5 2
now the questions:
1- I want to decrease the number of operations to improve the performance for vectors with bigger size. Is there any single function in MATLAB that is doing this?
2- In the case that the number of vectors is more than 2, the meshgrid function cannot be used and has to be replaced with for loops. What is a better solution?
For greater than 2 dimensions, use ndgrid:
>> a = 1:2; b = 1:3; c = 1:2;
>> [A,B,C] = ndgrid(a,b,c);
>> D = [A(:) B(:) C(:)]
D =
1 1 1
2 1 1
1 2 1
2 2 1
1 3 1
2 3 1
1 1 2
2 1 2
1 2 2
2 2 2
1 3 2
2 3 2
Note that ndgrid expects (rows,cols,...) rather than (x,y).
This can be generalized to N dimensions (see here and here):
params = {a,b,c};
vecs = cell(numel(params),1);
[vecs{:}] = ndgrid(params{:});
D = reshape(cat(numel(vecs)+1,vecs{:}),[],numel(vecs));
Also, as described in Robert P.'s answer and here too, kron can also be useful for replicating values (indexes) in this way.
If you have the neural network toolbox, also have a look at combvec, as demonstrated here.
One way would be to combine repmat and the Kronecker tensor product like this:
[repmat(a,size(b)); kron(b,ones(size(a)))]'
ans =
1 1
2 1
3 1
4 1
5 1
1 2
2 2
3 2
4 2
5 2
This can be scaled to more dimensions this way:
a = 1:3;
b = 1:3;
c = 1:3;
x = [repmat(a,1,numel(b)*numel(c)); ...
repmat(kron(b,ones(1,numel(a))),1,numel(c)); ...
kron(c,ones(1,numel(a)*numel(b)))]'
There is a logic! First: simply repeat the first vector. Secondly: Use the tensor product with the dimension of the first vector and repeat it. Third: Use the tensor product with the dimension of (first x second) and repeat (in this case there is not fourth, so no repeat.

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