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鲁棒稀疏重构问题的凝聚同伦算法
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作者 张洲 盛强 +1 位作者 熊慧娟 石峰 《应用数学》 CSCD 北大核心 2019年第1期206-211,共6页
鲁棒稀疏重构问题是信号处理领域的重要问题,该问题的数学本质是一个NP难的数学优化问题.同伦算法是一类典型的路径跟踪算法,该算法是解非线性问题的一类成熟算法,具有全局收敛性,且易于并行实现.本文考虑同伦算法在鲁棒稀疏重构问题中... 鲁棒稀疏重构问题是信号处理领域的重要问题,该问题的数学本质是一个NP难的数学优化问题.同伦算法是一类典型的路径跟踪算法,该算法是解非线性问题的一类成熟算法,具有全局收敛性,且易于并行实现.本文考虑同伦算法在鲁棒稀疏重构问题中的数值求解.基于l_∞范数及罚函数策略,我们首先将原始的基于l_0范数的最优化模型,转化为含参数的无约束极大极小值问题,进而构造凝聚函数光滑化模型中的极大值函数,并构造凝聚同伦算法数值求解.数值仿真实验验证了新方法的有效性,为大规模鲁棒重构问题的并行化数值求解奠定基础. 展开更多
关键词 稀疏重构问题 凝聚函数 同伦算法
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Evaluation of the Occurrence Possibility of SNP in Brassica napus with Sliding Window Features by Using RBF Networks 被引量:3
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作者 HU Xuehai LI Ruiyuan +3 位作者 2ENG Jinling xiong huijuan XIA Jingbo LI Zhi 《Wuhan University Journal of Natural Sciences》 CAS 2011年第1期73-78,共6页
We extract some physical and chemical features re-lated to the occurrence of single nucleotide polymorphism (SNP) from three groups of sliding windows around SNP site,and then make the predictions about accuracy by ... We extract some physical and chemical features re-lated to the occurrence of single nucleotide polymorphism (SNP) from three groups of sliding windows around SNP site,and then make the predictions about accuracy by using radial basis function (RBF) networks. The result of the forward sliding windows sug-gests that the accuracies and Matthews correlation coefficient (MCC values) ascend with the increasing of length of sliding windows. The accuracies range from 73.27 % to 80.69 %,and MCC values range from 0.465 to 0.614. The backward sliding windows and the sliding windows with fixed length three are de-signed to find the crucial sites related to SNP. The results imply that the occurrence possibility of SNP relies heavily on the above physical and chemical features of sites which are at a distance around 20 bases from the SNP site. Compared with the support vector machine (SVM),our RBF network approach has achieved more satisfactory results. 展开更多
关键词 single nucleotide polymorphism (SNP) radial basis function (RBF) network Brassica napus sliding windows
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