A possible approach to achieve this is to impose Laplace priors directly on the original signal, or mathematically, let p θ i | λ = λ 2 exp - λ 2 θ i 1 as in [6].
Gelman (2006) argues that more stable results can be obtained by specifying priors directly on the variance components or their square root.
Instead of assigning priors directly to the experimental parameters, we now transform a and c to an unbounded scale using the logit function.
To avoid this, I place priors directly on the sample space of divergence models, thus eliminating the parameter Ψ from the model.
The strengths of GP models arise from their non-parametric nature, which enables us to put priors directly on a function rather than on the parameters of a parametric function.
Unfortunately, not many motif discovery programs are able to incorporate priors directly, so an alternative is to mask sequence regions that have low priors by replacing the original base letters with Xs or Ns since most motif discovery tools will simply ignore positions containing unknown bases when searching for motifs.
Li [ 30] further demonstrated that when considering dynamic (also known as temporal or differential) imaging, linear DOT algorithms that incorporate spectral priors directly in the image reconstruction, correlate the absorption coefficients across multiple wavelengths, thereby providing a solution that is more stable, albeit with an increase in crosstalk between chromophores.
Finally, the study is more comprehensive than prior work, directly collecting data from patients on detailed direct medical expenditures, employment and earnings.
Prior to directly imaging the behavior of these electrons in magnetic fields, researchers had hints of this behavior, which they call a nematic quantum Hall liquid, from other types of experiments, but the study is the first direct measurement.
A further set of responses to the subjectivity of Bayesian statistical inference targets the prior distribution directly: we might provide further rationality principles, with which the choice of priors can be chosen objectively.
Various walk synthesis algorithms use statistical learning techniques to automatically extract the underlying rules of human motion, without any prior knowledge, directly from training on 3D motion capture data.
