以下为句子列表：
英文: In the paper the inverse optimization problem and inverse network optimization problems under Hamming distance with their application are introduced and the results and the research methods of inverse network optimization problems under Hamming distance a
中文: 此文首先介绍了逆优化问题和哈明距离下的网络逆问题以及它们的应用，然后详细介绍了哈明距离下的网络逆问题的研究动态及使用的研究方法。
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