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This is because the input/output to the stochastic model is distributions over instantaneous, abstracted actions, not image coordinates.
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There are a lot of concerns that if the next big thing is distribution over the Internet it will hurt revenue.
Thus the HMM inputs and outputs are distributions over action types rather than low level visual features as in the systems considered previously.
Instead of being distributions over the full n-dimensional conformation space, they will be distributions over the generalized coordinates in the d-dimensional subspace.
In this framework, documents are seen as simple 'bags of words' and topics are distributions over words.
These are distributions over samples for each k-mer that are computed independently for each k-mer for reasons of computational efficiency.
It is, therefore, expected that the effects of exposure also vary with source contagiousness, the effects being distribution over the days of the contagious period.
The main problem is distribution, and fights over water take the form of legal battles.
For the specimens used, the stress distribution was distributed over a length of up to 155 mm for serviceability loads.
where (6) is the distribution over sounds illustrated in Figure 1(a), (7) is the distribution over sounds illustrated in Figure 1(b), and (8) is the distribution over concepts illustrated in Figure 1(c).
Language models (LM), that is, probability distributions over sequences of N words (N-gram models), are used to get the prior probability of a word sequence.
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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