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The chamfer function can be computed efficiently for many model templates by using a distance transform (DT) of the edge image.
where ∝ means equal within a normalization factor, and the summation is over all valid codewords with c m equal to α. Making use of the finite-state description of the encoder, the APPs (12) can be computed efficiently for m = 1,⋯,K by means of the BCJR algorithm [4].
Such paths can be computed efficiently for weighted graphs with nonnegative edge costs using Dijkstra's algorithm [ 42].
Furthermore, it should be mentioned that we decided to assign relative frequencies to the production rules of Ĝ sto, since such probabilities can be computed efficiently for unambiguous SCFGs.
Interestingly, both of these quantities can be computed efficiently: For PDmax(k) there is a simple greedy algorithm [ 29, 30] that can be implemented to run in O(| X|) time [ 31].
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The main feature is that they are deterministic and can be computed efficiently without the need for time-consuming Monte Carlo simulations.
If this translation function Tr can be computed efficiently we can combine it with any system for semantics τ to build a system for σ.
We describe how the haplotype connectivity for a collection of haplotypes can be computed efficiently and briefly discuss some related optimization problems that arise in this context.
However, as we will see here, for matrix Lie groups the intrinsic average can be computed efficiently.
The terms must be taken into account, however, for overlapping targets; in this case, they may be computed efficiently exploring the sparse structure of and.
Conceptually, they require summations over exponentially many possible parse trees for a given sentence, but in fact inside probabilities can be computed efficiently by the CYK algorithm (section 2), and outside probabilities can also be computed efficiently, using a top-down recursive "divide and conquer" algorithm that makes use of previously computed inside probabilities.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com