Random field and random cluster theory is used to prove certain mathematical results concerning the probability distribution of images characterized as generic $2D$ integer arrays during simultaneous learning. Example models in image classification and object segmentation illustrate the mathematical results.

翻译：随机字段和随机群集理论用于证明同时学习期间被定性为通用 2D$整数阵列的图像的概率分布的某些数学结果。图像分类和对象分割的示例模型说明了数学结果。