Optical proximity correction (OPC) systems require an accurate and fast way to predict how patterns will be transferred to the wafer.Based on Gabor's 'reduction to principal waves',a partially coherent ima...Optical proximity correction (OPC) systems require an accurate and fast way to predict how patterns will be transferred to the wafer.Based on Gabor's 'reduction to principal waves',a partially coherent imaging system can be represented as a superposition of coherent imaging systems,so an accurate and fast sparse aerial image intensity calculation algorithm for lithography simulation is presented based on convolution kernels,which also include simulating the lateral diffusion and some mask processing effects via Gaussian filter.The simplicity of this model leads to substantial computational and analytical benefits.Efficiency of this method is also shown through simulation results.展开更多
针对人脸识别中的非线性特征提取问题,提出一种基于核正交局部判别嵌入(KOLDE,kernel orthogonal local discriminant embedding)的人脸识别算法。首先通过引入基向量正交约束,得到OLDE算法,并给出算法的推导过程。然后为了更好地处理...针对人脸识别中的非线性特征提取问题,提出一种基于核正交局部判别嵌入(KOLDE,kernel orthogonal local discriminant embedding)的人脸识别算法。首先通过引入基向量正交约束,得到OLDE算法,并给出算法的推导过程。然后为了更好地处理高度复杂非线性结构数据,将OLDE向高维空间扩展,在核空间提取图像的高阶非线性信息,得到核空间OLDE算法。在ORL和PIE库上的人脸识别实验验证了算法的有效性。展开更多
The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine （SVM） is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used t...The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine （SVM） is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used to confirm the positive definiteness and their construction. Based on the Bochner theorem, some translation invariant kernels are checked in their Fourier domain. Some rotation invariant radial kernels are inspected according to the Schoenberg theorem. Finally, the construction of discrete scaling and wavelet kernels, the kernel selection and the kernel parameter learning are discussed.展开更多
文摘Optical proximity correction (OPC) systems require an accurate and fast way to predict how patterns will be transferred to the wafer.Based on Gabor's 'reduction to principal waves',a partially coherent imaging system can be represented as a superposition of coherent imaging systems,so an accurate and fast sparse aerial image intensity calculation algorithm for lithography simulation is presented based on convolution kernels,which also include simulating the lateral diffusion and some mask processing effects via Gaussian filter.The simplicity of this model leads to substantial computational and analytical benefits.Efficiency of this method is also shown through simulation results.
文摘针对人脸识别中的非线性特征提取问题,提出一种基于核正交局部判别嵌入(KOLDE,kernel orthogonal local discriminant embedding)的人脸识别算法。首先通过引入基向量正交约束,得到OLDE算法,并给出算法的推导过程。然后为了更好地处理高度复杂非线性结构数据,将OLDE向高维空间扩展,在核空间提取图像的高阶非线性信息,得到核空间OLDE算法。在ORL和PIE库上的人脸识别实验验证了算法的有效性。
基金Supported by the National Natural Science Foundation of China(60473035)~~
文摘The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine （SVM） is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used to confirm the positive definiteness and their construction. Based on the Bochner theorem, some translation invariant kernels are checked in their Fourier domain. Some rotation invariant radial kernels are inspected according to the Schoenberg theorem. Finally, the construction of discrete scaling and wavelet kernels, the kernel selection and the kernel parameter learning are discussed.
