2014年11月14日 · 概率图模型主要分为两种，无向图 (也叫Markov random fields)和有向图 (也叫Bayesian networks)，前者多用于物理和图像领域，后者多用于AI和 机器学习，具体的基本就不多介绍了。 下面给出一个简单贝叶斯网络的例子。 WetGrass指草地是否湿了。 推断的主要目的是在知道观察变量的值的情况下估计隐藏变量的值。 如果我们观察到生成模型的"叶子"，然后可以尝试推断隐藏的原因 (diagnosis)，反之如果观察到生成模型的“根”，就可以尝试预测它的节点 …

This mean field approximation allows us to derive analytic forms that can be compared to simulations of the full GP map. from publication: The Arrival of the Frequent: How...

在物理学和概率论中，平均场理论（Mean-field theory，MFT）或自洽场理论（Self-consistent field theory）通过研究一个更简单的模型来研究高维随机（随机）模型的行为，该模型通过对自由度（统计量的最终计算中的值可以自由变化）的平均来逼近原始模型。

2024年4月30日 · Mean-field approximation is a technique that ignores spatial relationships among components. It works quite well for systems whose parts are fully connected or randomly interacting with each other. It doesn’t work if the interactions are local or non-homogeneous, and/or if the system has a non-uniform pattern of states.

平均场论（英語： Mean field theory ，MFT）是一种研究复杂多体问题的方法，将数量巨大的互相作用的多体问题转化成每一个粒子处在一种弱周期场中的单体问题，这种方法常见于统计物理、固体物理和生物物理的研究中。

Mutational outcomes are thus determined from the local frequencies of phenotypes around the neutral space, as measured by the coefficients. This mean field approximation allows us to derive analytic forms that can be compared to simulations of the full GP map.

Lecture 13 : Variational Inference: Mean Field Approximation 3 We apply Jensens inequality to the log (marginal) probability of the observations to get the ELBO. logp(x) = log

(a) Key settings of classic meanfield approximation, such as infinite-width condition as well as independent and identical assumption, are summarized. (b-c) Illustrations of the scalar and vector...

The mean field approximation is a technique that can be used to calculate approximate partition functions for systems composed of interacting particles. The problem with calculating such partition functions exactly comes when one attempts to enumerate all the possible microstates and calculate their energy.

(a) Key settings of classic mean-field approximation, such as infinite-width condition as well as independent and identical assumption, are summarized. (b, c) Illustrations of the scalar and...