What is mean by a field?
noun. an expanse of open or cleared ground, especially a piece of land suitable or used for pasture or tillage. Sports. a piece of ground devoted to sports or contests; playing field.
What means field potential?
The mean field potential is considered such that the stationary Schrödinger equation is solved simply to obtain single particle states and their related energy spectrum. These single-particle states are used to construct the N particle wave function as follows.
How does variational Bayes solve the Bayesian inference problem?
To summarize, variational Bayes has these ideas: The Bayesian inference problem of finding a posterior on the unknown variables (parameters and latent variables) is hard and usually can’t be solved analytically. Variational Bayes solves this problem by finding a distribution Q that approximates the true posterior P.
How is the mean field approximation used in Bayes?
The mean-field approximation partitions the unknown variables and assumes each partition is independent (a simplifying assumption). With some (long) derivations, we can find an algorithm that iteratively computes the Q distributions for a given partition by using the previous values of all the other partitions.
How are partitions used in the mean field approximation?
In the mean-field approximation (a common type of variational Bayes), we assume that the unknown variables can be partitioned so that each partition is independent of the others. Using KL divergence, we can derive mutually dependent equations (one for each partition) that define the shape of Q.
Which is a measure of the mean field approximation?
It uses KL-divergence as a measure of how well our approximation fits the true posterior. The mean-field approximation partitions the unknown variables and assumes each partition is independent (a simplifying assumption).