Random Fields

Random fields are mathematical models that assign random values to every point in a space, like a landscape where each location has a unique, unpredictable feature—such as temperature or terrain height. They help describe complex, spatially-related data where outcomes are interconnected across regions, not just isolated points. This concept is used in areas like image processing, weather forecasting, and spatial statistics to analyze patterns and relationships within a set of related variables distributed over a domain. Essentially, random fields capture the idea that nearby points tend to influence each other’s values in a probabilistic manner.