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3
votes
1answer
46 views

Sampling numbers from a weighted set that sum to constant value

So I have a multi-set of positive integers $S = \{n_1, n_2, \dots\}$ with associated weights $W = \{w_1, w_2, \dots\}$. I want to sample some numbers, without replacement, from $S$ according to ...
2
votes
2answers
90 views

Efficient n-choose-k random sampling

Is there an efficient method of sampling an n-choose-k combination at random (with uniform probability, for example)? I have read this question but it asks for generations of all combinations, not ...
2
votes
0answers
35 views

Constrained selection of a random sample from a set of items with multiple attributes

Suppose I have a collection of N items, each of which has A different attributes, a1, a2, ..., aA. Attribute ai can take on Vi different possible (discrete) values, distributed across the population ...
0
votes
1answer
156 views

Random uniform sampling of position restricted permutations

Is there any efficient algorithm which is able to generate nearly uniform samples of permutations in case of position restrictions? Consider $N \times N$ restriction matrices $R$, that is matrices ...
3
votes
0answers
236 views

permutations sampling by probability matrix

I am looking for effective and reliable algorithm which is able to generate random samples of permutations by square doubly stochastic probability matrix $P$ (n x n) distribution ($\sum_{i}p_{i,j} = \...
13
votes
2answers
664 views

Efficient algorithm to generate two diffuse, deranged permutations of a multiset at random

Background $\newcommand\ms[1]{\mathsf #1}\def\msD{\ms D}\def\msS{\ms S}\def\mfS{\mathfrak S}\newcommand\mfm[1]{#1}\def\po{\color{#f63}{\mfm{1}}}\def\pc{\color{#6c0}{\mfm{c}}}\def\pt{\color{#08d}{\mfm{...