Questions tagged [sampling]
The sampling tag has no usage guidance.
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Consistent Sampling a Random Walk
Assume there's a random walk $S_k = X_1 + \dots + X_k$ where $X_i \in \{1, -1\}$ are uniformly iid.
I want Alice and Bob to share a function $S(k) = S_k$. A straightforward approach would be to let ...
3
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Complexity of sampling a clique uniformly at random
Let $G$ be an undirected graph, and let $C_1, ..., C_M$ denote all possible cliques in $G$.
What is known on the complexity of sampling a clique uniformly at random. That is, returning clique $C_i$ ...
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Boltzmann sampling for knapsack constraints?
Is there an efficient algorithm to sample from the Boltzmann distribution defined by a knapsack constraint? More concretely, I have $n$ items with weights $w_1,...,w_n$ and values $v_1,...,v_n$.
I ...
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Solving sampling problems with circuits?
If I allow a circuit family (say, poly size, polylog depth) poly($n$) bits of randomized advice, then I can ask if its output samples from certain distributions or not. However I don't know what the ...
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Finding uniformly random perfect matching of a graph
Problem: Suppose that we have a graph $ G $ which admits at least one perfect matching. I would like to know if there is an algorithm that allows to find any perfect matching of this graph uniformly ...
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Boltzmann sampling for containers/dependent polynomials?
I’d like to randomly sample from dependently-typed data structures.
Has anyone looked at extending Boltzmann sampling to containers or dependent polynomials?
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Efficient sampling of primes
Using rejection sampling, it is trivial to construct a Las Vegas algorithm for sampling a uniformly random prime number less than a given $N$. What is known about sampling algorithms that run in worst-...