Motivated by local coordinate coding(LCC) theory in nonlinear manifold learning, a new image representation model called local sparse representation(LSR) for astronomical image denoising was proposed. Borrowing ideas ...Motivated by local coordinate coding(LCC) theory in nonlinear manifold learning, a new image representation model called local sparse representation(LSR) for astronomical image denoising was proposed. Borrowing ideas from surrogate function and applying the iterative shrinkage-thresholding algorithm(ISTA), an iterative shrinkage operator for LSR was derived. Meanwhile, a fast approximated LSR method by first performing a K-nearest-neighbor search and then solving a l1optimization problem was presented under the guarantee of denoising performance. In addition, the LSR model and adaptive dictionary learning were incorporated into a unified optimization framework, which explicitly established the inner connection of them. Such processing allows us to simultaneously update sparse coding vectors and the dictionary by alternating optimization method. The experimental results show that the proposed method is superior to the traditional denoising method and reaches state-of-the-art performance on astronomical image.展开更多
针对K-奇异值分解(sigular value decomposition,SVD)算法存在的问题,结合结构聚类和字典学习,提出了一种基于非局部正则化稀疏表示的图像去噪算法。首先,利用非局部去噪的思想将结构相似的图像块聚类,每一类图像块单独进行字典学习,增...针对K-奇异值分解(sigular value decomposition,SVD)算法存在的问题,结合结构聚类和字典学习,提出了一种基于非局部正则化稀疏表示的图像去噪算法。首先,利用非局部去噪的思想将结构相似的图像块聚类,每一类图像块单独进行字典学习,增强了字典的自适应性;其次,利用稀疏K-SVD替代传统的K-SVD进行类内字典学习,改善了字典的结构性;最后,引入稀疏系数误差正则项来修正稀疏系数以进一步改善图像的重构效果。实验结果表明,与传统的K-SVD算法相比,该算法能够有效地保持图像的结构信息,并且提升了去噪效果,同时,在不降低图像结构相似度的基础上,峰值信噪比很接近甚至部分好于目前先进的去噪算法。展开更多
机械振动信号携带大量重要的机械状态信息,然而机械故障振动信号在复杂工作状态下通常呈现非平稳、非线性特性。因此,从振动信号抽取和选择有效的机械故障特征、提高故障识别性能,成为机械故障诊断研究的热点。针对上述问题,本文提出了...机械振动信号携带大量重要的机械状态信息,然而机械故障振动信号在复杂工作状态下通常呈现非平稳、非线性特性。因此,从振动信号抽取和选择有效的机械故障特征、提高故障识别性能,成为机械故障诊断研究的热点。针对上述问题,本文提出了基于集成局部均值分解(Ensemble local means decomposition,ELMD)与改进的稀疏多尺度支持向量机(Sparse multiscale support vector machine,SMSVM)的机械故障诊断方法。该方法首先使用自适应非线性、非平稳信号处理方法 ELMD把多模态调制故障信号分解成为多个单模态解调信号,有效地增强了故障特征。把压缩感知和多尺度分析技术融合于故障模式分类中,提出改进SMSVM旋转机械故障识别方法,提高多类机械微弱故障数据模式识别性能。该方法融合稀疏表示、多尺度分析和SVM的优点,无需求解复杂的优化问题,易于推广至更多尺度SVM,具有计算量少、泛化性与鲁棒性好、物理意义明显等优点。人工数据和实验设备数据验证了本文算法的优越性。展开更多
基金Project(60972114) supported by the National Natural Science Foundation of ChinaProject(2012M512168) supported by China Postdoctoral Science Foundation
文摘Motivated by local coordinate coding(LCC) theory in nonlinear manifold learning, a new image representation model called local sparse representation(LSR) for astronomical image denoising was proposed. Borrowing ideas from surrogate function and applying the iterative shrinkage-thresholding algorithm(ISTA), an iterative shrinkage operator for LSR was derived. Meanwhile, a fast approximated LSR method by first performing a K-nearest-neighbor search and then solving a l1optimization problem was presented under the guarantee of denoising performance. In addition, the LSR model and adaptive dictionary learning were incorporated into a unified optimization framework, which explicitly established the inner connection of them. Such processing allows us to simultaneously update sparse coding vectors and the dictionary by alternating optimization method. The experimental results show that the proposed method is superior to the traditional denoising method and reaches state-of-the-art performance on astronomical image.
文摘针对K-奇异值分解(sigular value decomposition,SVD)算法存在的问题,结合结构聚类和字典学习,提出了一种基于非局部正则化稀疏表示的图像去噪算法。首先,利用非局部去噪的思想将结构相似的图像块聚类,每一类图像块单独进行字典学习,增强了字典的自适应性;其次,利用稀疏K-SVD替代传统的K-SVD进行类内字典学习,改善了字典的结构性;最后,引入稀疏系数误差正则项来修正稀疏系数以进一步改善图像的重构效果。实验结果表明,与传统的K-SVD算法相比,该算法能够有效地保持图像的结构信息,并且提升了去噪效果,同时,在不降低图像结构相似度的基础上,峰值信噪比很接近甚至部分好于目前先进的去噪算法。
文摘机械振动信号携带大量重要的机械状态信息,然而机械故障振动信号在复杂工作状态下通常呈现非平稳、非线性特性。因此,从振动信号抽取和选择有效的机械故障特征、提高故障识别性能,成为机械故障诊断研究的热点。针对上述问题,本文提出了基于集成局部均值分解(Ensemble local means decomposition,ELMD)与改进的稀疏多尺度支持向量机(Sparse multiscale support vector machine,SMSVM)的机械故障诊断方法。该方法首先使用自适应非线性、非平稳信号处理方法 ELMD把多模态调制故障信号分解成为多个单模态解调信号,有效地增强了故障特征。把压缩感知和多尺度分析技术融合于故障模式分类中,提出改进SMSVM旋转机械故障识别方法,提高多类机械微弱故障数据模式识别性能。该方法融合稀疏表示、多尺度分析和SVM的优点,无需求解复杂的优化问题,易于推广至更多尺度SVM,具有计算量少、泛化性与鲁棒性好、物理意义明显等优点。人工数据和实验设备数据验证了本文算法的优越性。
