Vector Gaussian mixture models form an important special subset of vector-valued distributions. Any physical entity that can mutate or transit among alternative manifestations distributed in a given space falls into this category. A key example is color imagery. In this note, we vectorize the Gaussian mixture model and study different optimal mass transport related problems for such models. The benefits of using vector Gaussian mixture for optimal mass transport include computational efficiency and the ability to preserve structure.

翻译：矢量高斯混合物模型构成矢量价值分布的重要特殊子集。任何实体,凡能够在某一空间分布的替代表现形式之间发生变异或中转的,都属于这一类别。一个关键例子是彩色图像。在本说明中,我们将高斯混合物模型进行传导,并研究这些模型不同的最佳大众迁移相关问题。使用矢量高斯混合物进行最佳大众迁移的好处包括计算效率和保持结构的能力。