Questions tagged [encoding]

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8 votes
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What is the least compressible probability distribution? (under entropy constraint, for an expected squared error metric)

Consider a distribution $\mathcal D$ over the reals, a real parameter $H\in\mathbb R^+$, and an integer parameter $k\in\mathbb N$. The Entropy-Constrained Quantization problem asks what is the best ...
R B's user avatar
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8 votes
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What is the optimal binary encoding of the elements of a monoid?

The Question Let $M$ be a finite monoid. Let $S$ be a generating set of $M$. Say we have a binary encoding of $S$ represented by $\phi:S \rightarrow A^*$ where $A = \{0, 1\}$. This encoding should ...
Orby's user avatar
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4 votes
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56 views

Complexity of circuit evaluation in Resolution

Consider the standard evaluation function for CNF formulas $\mathsf{Eval}(\varphi,x)$ taking as input a CNF $\varphi$ and an assignment $x$ to the variables and outputting the value of $\varphi(x)$. ...
Noel Arteche's user avatar
2 votes
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159 views

Unit hypercube encodings

How can we chose to place $k$ points in $[0,1]^d$, such that the minimum Euclidian distance between any two points is maximized? Is there a more common term for these combinatorial designs than unit ...
Chad Brewbaker's user avatar
2 votes
0 answers
107 views

Bayesian compression

Suppose you have a sequence generated by an i.i.d. process (such as repeatedly rolling a die and recording the values in order) parameterized by some K-dimensional vector $\vec{\gamma}$ (the ...
user13501's user avatar
1 vote
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What is known about data structures for encoding a set while considering approximate Rank queries?

Consider a universe $\mathcal U\triangleq \{1,2,\ldots n\}$, and assume that we are given a set $S\subseteq \mathcal U$. There are many data structures that allow storing $S$ while answering Rank ...
R B's user avatar
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1 vote
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Reference request on dynamic flows combined with network coding

I have read some papers about network coding and dynamic flows (flows over time). I think I have made comprehensive searches on google, google scholar and IEEE Xplore. IMHO, the reasons for the ...
robit's user avatar
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