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The prior importance distribution forms a good alternative as it is often easy to sample from it.
The importance can be modelled with a linear estimation of the importance distribution (hat {w}) as given in Eq. 14.
Using the prior distribution as importance distribution could lead to the degeneracy problem of the particles because the most recent observations are ignored.
A particle filter which uses UKF to generate the importance distribution is referred as unscented particle filter (UPF) or sigma-point particle filter [31].
Notable techniques include local linearization using the extended Kalman filter (EKF) [29, 30] or the unscented Kalman filter (UKF) to estimate the importance distribution [31].
Importance sampling (IS) settles the inconvenient sampling and difficult propagation through the incorporation of an intermediate importance distribution or sequential distributions.
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Figure 1 shows that the three feature selection methods yield considerably different feature-importance distributions.
It is important to carefully design the importance sampling distribution.
The choice of the importance sampling distribution plays an important role with respect to the performance and stability of the algorithm.
In the first approach, we use the optimal importance sampling distribution, whereas in the second approach, an alternative distribution is explored.
The importance of distribution lies in its being a principle of formal inference that no term may be distributed in the conclusion unless it was distributed in the premises.
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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