随机场（Random field）定义如下：

在概率论中，由样本空间Ω = {0, 1, ..., G − 1}取样构成的随机变量X_i所组成的S = {X₁, ..., X_n}。若对所有的ω∈Ω下式均成立，则称π为一个随机场。

一些已有的随机场如：马尔可夫随机场（MRF），吉布斯随机场（GRF），条件随机场（CRF），和高斯随机场。

A random field is a generalization of a stochastic process such that the underlying parameter need no longer be a simple real or integer valued "time", but can instead take values that are multidimensional vectors, or points on some manifold.

At its most basic, discrete case, a random field is a list of random numbers whose indices are mapped into a space (of n dimensions). When used in the natural sciences, values in a random field are often spatially correlated in one way or another. In its most basic form this might mean that adjacent values (i.e. values with adjacent indices) do not differ as much as values that are further apart. This is an example of a covariance structure, many different types of which may be modeled in a random field. More generally, the values might be defined over a continuous domain, and the random field might be thought of as a "function valued" random variable.