Question

explain manifold tabulation

Answer 1

a statistical manifoldis a Riemannian manifold, each of whose points is a probability distribution. Statistical manifoldsprovide a setting for the field of information geometry. The Fisher information metric provides a metric on these manifolds.

Answer 2

Answer:

manifold tabulation is also called ststistics manifold. in simple words you can say that family of all normal distributions, which are parametrized by the expected value μ and the variance σ2 ≥ 0, with the Riemannian metric given by the Fisher information matrix, is a statistical manifold. Its geometry is based on hyperbolic space.

one of the main example of a statistical manifold,you can take from physics, that is the canonical ensemble. it is a one-dimensional manifold which you can easily understand.