论文标题
矢量高斯混合模型的最佳传输
Optimal transport for vector Gaussian mixture models
论文作者
论文摘要
矢量值高斯混合物构成了矢量值分布的重要特殊子集。通常，矢量值分布构成物理实体的自然表示，物理实体可以在分布在给定空间中的替代表现之间突变或过境。一个关键的例子是颜色图像。在本说明中，我们将高斯混合物模型进行矢量化，并研究与此类模型相关的几种最佳质量运输相关问题。使用矢量高斯混合物进行最佳质量运输的好处包括计算效率和保留结构的能力。
Vector-valued Gaussian mixtures form an important special subset of vector-valued distributions. In general, vector-valued distributions constitute natural representations for physical entities, which can mutate or transit among alternative manifestations distributed in a given space. A key example is color imagery. In this note, we vectorize the Gaussian mixture model and study several different optimal mass transport related problems associated to such models. The benefits of using vector Gaussian mixture for optimal mass transport include computational efficiency and the ability to preserve structure.
