TreePosterior
RegressionTree-aware scorer: routes the query x to a leaf snapshot and turns its weighted- variance summary into a single Double. Parallels the linear-side com.eignex.kumulant.stat.regression.glm.LinearPosterior family for the tree regressor shape.
Concrete posteriors differ only in how they consume the leaf's (mean, variance, totalWeights) triplet:
MeanTreePosterior: deterministic leaf mean.
ThompsonTreePosterior: Normal-Gamma draw built from the leaf's first two moments; the natural Thompson scheme when leaves accumulate normal-like rewards.
UcbTreePosterior: UCB-style mean + alpha * sqrt(variance / totalWeights) on the leaf's sampling-distribution-of-the-mean.
Inheritors
Functions
Score a query point x under the regression snapshot. exploration controls the posterior-variance scale (Thompson) or the UCB width (LinUcb-style); 0.0 collapses to the point estimate.