In this paper, we consider the problem of the existence of general non-separable variate orthonormal compactly supported wavelet basis when the symbol function has a special form. We prove that the general non-separab...In this paper, we consider the problem of the existence of general non-separable variate orthonormal compactly supported wavelet basis when the symbol function has a special form. We prove that the general non-separable variate orthonormal wavelet basis doesn't exist if the symbol function possesses a certain form. This helps us to explicate the difficulty of constructing the non-separable variate wavlet basis and to hint how to construct non-separable variate wavlet basis.展开更多
提出了一种基于离散粒子群优化的贝叶斯网络结构学习算法——PSBN(Particle Swarm for Bayesian Network)。贝叶斯网络的结构被映射为一种符号编码,通过在迭代过程中对粒子的符号编码进行调整,从而进化得到具有更高适应度值的贝叶斯网...提出了一种基于离散粒子群优化的贝叶斯网络结构学习算法——PSBN(Particle Swarm for Bayesian Network)。贝叶斯网络的结构被映射为一种符号编码,通过在迭代过程中对粒子的符号编码进行调整,从而进化得到具有更高适应度值的贝叶斯网络结构。根据贝叶斯网络的结构特点,粒子位置和速度的编码方案和基本操作被设计,使得算法对贝叶斯网络的结构学习有较好的收敛性。实验结果表明,与基于遗传算法的贝叶斯网络结构学习算法相比,PSBN算法具有较好的学习效果。展开更多
Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust ...Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.展开更多
基金the National Natural Science Foundation of China (No.69982002) and theOpening Foundation of National Mobile Communications Res
文摘In this paper, we consider the problem of the existence of general non-separable variate orthonormal compactly supported wavelet basis when the symbol function has a special form. We prove that the general non-separable variate orthonormal wavelet basis doesn't exist if the symbol function possesses a certain form. This helps us to explicate the difficulty of constructing the non-separable variate wavlet basis and to hint how to construct non-separable variate wavlet basis.
文摘提出了一种基于离散粒子群优化的贝叶斯网络结构学习算法——PSBN(Particle Swarm for Bayesian Network)。贝叶斯网络的结构被映射为一种符号编码,通过在迭代过程中对粒子的符号编码进行调整,从而进化得到具有更高适应度值的贝叶斯网络结构。根据贝叶斯网络的结构特点,粒子位置和速度的编码方案和基本操作被设计,使得算法对贝叶斯网络的结构学习有较好的收敛性。实验结果表明,与基于遗传算法的贝叶斯网络结构学习算法相比,PSBN算法具有较好的学习效果。
文摘Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.
