分布数据缺失的最优传输研究

Research on Optimal Transport to Distributed Data Missing

针对分布数据缺失情形下的最优传输问题,给出其基本理论以及优化模型,同时考虑到模型的较大稀疏性,基于熵正则化思想提出了一种数据缺失情形下的最优传输的熵正则化算法,最后将其应用于运输问题和图像检索领域,并给出相应的实例,验证了本文算法及其对提出问题的有效性.

Aiming at the problem of optimal transport in the case of missing distributed data,the basic theory and optimization model are given.Considering the large sparsity of the model,the algorithm of optimal transport in the case of missing data is proposed based on entropy regularization.Finally,the algorithm is applied to transportation problems,image retrieval and other fields,and the corresponding examples are given,the effectiveness of the proposed algorithm is verified.