工程科学学报2017，Vol.39Issue(8)：1254-1260,7.DOI:10.13374/j.issn2095-9389.2017.08.016
MMSE准则下基于玻尔兹曼机的快速重构算法
Fast recovery algorithm based on Boltzmann machine and MMSE criterion
摘要
Abstract
Fully connected Boltzmann machine models can be used to provide a comprehensive description of statistical dependen-cies between sparse coefficients but with high time complexity. To improve the speed and quality of the Boltzmann machine-Bayesian matching pursuit (BM-BMP) method, an improved algorithm was proposed. First, the maximum a posteriori (MAP) estimation of the BM-BMP algorithm is decomposed into its value at the last iteration and an increment; thus, it only needs to calculate the increment in each iteration, which greatly reduces the computational time. Second, by calculating the mean of the significant MAP estimations, an effective approximation is obtained for the minimum mean square error (MMSE) estimation and a smaller reconstruction error is a-chieved. Compared with the BM-BMP, this method reduces the running time on average by 73. 66% while improving the peak signal to noise ratio (PSNR) by 0. 57 dB.关键词
稀疏信号重构/快速贝叶斯匹配追踪/玻尔兹曼机/最小均方误差Key words
sparse signal reconstruction/fast Bayesian matching pursuit/Boltzmann machine/minimum mean square error (MMSE)分类
信息技术与安全科学引用本文复制引用
刘玲君,谢中华,冯久超,杨萃..MMSE准则下基于玻尔兹曼机的快速重构算法[J].工程科学学报,2017,39(8):1254-1260,7.基金项目
国家自然科学基金资助项目(61327005,61302120) （61327005,61302120）
广东省科技计划资助项目(2017A020214011) （2017A020214011）
中央高校基本科研业务费资助项目(2017MS039) （2017MS039）
