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The reason is that the prior provided by a pair of images in co-segmentation is more sufficient compared with a single image.
Equation (5) is the maximum a posterior (MAP) estimator of w with Laplace prior provided we treat the sigmoid function as the pair-wise probability, i.e. Pr M j > M k) = σ(w T (x j - x k)).
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These results suggest that a GLM with a sparse prior provides a more accurate characterization of spectrotemporal tuning than does the NRC method when responses to complex sounds are studied in these neurons.
The "Root" prior provides a probability distribution for the TMRCA of the ingroup and Lithoglyphopsis (the root).
Tree prior – The tree prior provides a parameterized prior distribution for the node heights (in units of time) and tree topology.
Selecting a stringent prior provides a more precise distinction between SNPs with large and small effects on the trait [ 76, 77].
Both Gibbs- and median-type priors provided quite similar results and, therefore, in the remainder, only results with the Gibbs-type prior will be shown.
Nonetheless, dating with the two priors provided similar age estimates for the divergence of cycads from Ginkgo (Carboniferous) and their crown age (Permian).
Moreover, within either design the use of zero priors provides D-error scores that are lower.
The use of the priors provides sufficient constrains for reliable tracking at the presence of appearance changes due to facial expressions.
Moreover, the Bayesian control charting structures with conjugate priors provide better performance for monitoring the Y-intercepts and slopes than the one of non-conjugate priors, while both priors perform almost equivalently in case of errors variance.
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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