Phase spectrum estimation of the seismic wavelet is an important issue in high-resolution seismic data processing and interpretation. On the basis of two patterns of constant-phase rotation and root transform for wave...Phase spectrum estimation of the seismic wavelet is an important issue in high-resolution seismic data processing and interpretation. On the basis of two patterns of constant-phase rotation and root transform for wavelet phase spectrum variation, we introduce six sparse criteria, including Lu’s improved kurtosis criterion, the parsimony criterion, exponential transform criterion, Sech criterion, Cauchy criterion, and the modified Cauchy criterion, to phase spectrum estimation of the seismic wavelet, obtaining an equivalent effect to the kurtosis criterion. Through numerical experiments, we find that when the reflectivity is not a sparse sequence, the estimated phase spectrum of the seismic wavelet based on the criterion function will deviate from the true value. In order to eliminate the influence of non-sparse reflectivity series in a single trace, we apply the method to the multi-trace seismogram, improving the accuracy of seismic wavelet phase spectrum estimation.展开更多
Kernel-based methods work by embedding the data into a feature space and then searching linear hypothesis among the embedding data points. The performance is mostly affected by which kernel is used. A promising way is...Kernel-based methods work by embedding the data into a feature space and then searching linear hypothesis among the embedding data points. The performance is mostly affected by which kernel is used. A promising way is to learn the kernel from the data automatically. A general regularized risk functional (RRF) criterion for kernel matrix learning is proposed. Compared with the RRF criterion, general RRF criterion takes into account the geometric distributions of the embedding data points. It is proven that the distance between different geometric distdbutions can be estimated by their centroid distance in the reproducing kernel Hilbert space. Using this criterion for kernel matrix learning leads to a convex quadratically constrained quadratic programming (QCQP) problem. For several commonly used loss functions, their mathematical formulations are given. Experiment results on a collection of benchmark data sets demonstrate the effectiveness of the proposed method.展开更多
Probability criterion has its practical significance, and its investment decision-making is determined by the expected discounted wealth. In a complete, standard financial market with short-selling allowed, this paper...Probability criterion has its practical significance, and its investment decision-making is determined by the expected discounted wealth. In a complete, standard financial market with short-selling allowed, this paper probes into the investment decision-making with probability criterion. The upper limit of criterion function is obtained. The corresponding discounted wealth process and hedging portfolio process are provided. Finally, an illustrative example of one-dimensional constant-coefficient financial market is given.展开更多
Aiming to provide an appropriate number K of clusters, in this paper, we propose a new criterion function - H criterion function, whose three properties have also been proved. We validate the performance of the H crit...Aiming to provide an appropriate number K of clusters, in this paper, we propose a new criterion function - H criterion function, whose three properties have also been proved. We validate the performance of the H criterion function on one artificial dataset and three real-world datasets, and the results are almostly consistent with a previous method. The nonparametric criterion we proposed is intuitive, simple and the computational cost is acceptable.展开更多
In this paper, we study the normal families related with a Hayman conjecture of higher derivative concerning zero numbers, and get one normal criteria.Our result improve some earlier related result.
In Haigh Westergaard stress space linear combination of twin shear stress and Tresca yield functions is called the mean yield (MY) criterion. The mathematical relationship of the criterion and its plastic work rate ...In Haigh Westergaard stress space linear combination of twin shear stress and Tresca yield functions is called the mean yield (MY) criterion. The mathematical relationship of the criterion and its plastic work rate done per unit volume were derived. A generalized worked example of slab forging was analyzed by the criterion and its corresponding plastic work rate done per unit volume. Then, the precision of the solution was compared with those by Mises and Twin shear stress yield criterions, respectively. It turned out that the calculated results by MY criterion were in good agreement with those by Mises criterion.展开更多
针对网络化电力系统在分布式拒绝服务(Distributed Denial of Service,DDoS)攻击与控制器增益偏差并存导致的频率调节退化问题,提出一种将非脆弱比例积分(Non-fragile Proportional Integral,NFPI)与Q-learning自适应采样结合的采样数...针对网络化电力系统在分布式拒绝服务(Distributed Denial of Service,DDoS)攻击与控制器增益偏差并存导致的频率调节退化问题,提出一种将非脆弱比例积分(Non-fragile Proportional Integral,NFPI)与Q-learning自适应采样结合的采样数据负荷频率控制(Load Frequency Control,LFC)框架。采用伯努利随机门控刻画由DDoS引发的指令丢失与阻塞,构建含状态、采样保持与能量积分项的Lyapunov-Krasovskii泛函,并配合线性矩阵不等式(Linear Matrix Inequalities,LMIs)给出H∞稳定性判据与控制器综合。同时以频差和攻击指示等构成学习状态,将候选采样间隔离散为动作空间并设计兼顾误差与通信代价的回报函数以在线优化采样策略。仿真表明,在较高攻击概率下该方案仍能实现频率快速且近乎无过冲的收敛,并在保持可比稳态精度的前提下显著减少采样与控制更新,从而在增益不确定与对抗性丢包并存时兼顾鲁棒性与通信效率,适于现代网络化电力系统部署。展开更多
加筋壳结构具有较高的比刚度和比强度,被广泛应用于航空航天承力结构中。可靠性优化设计(Reliability Based Design Optimization,RBDO)方法通过综合考虑结构参数中的不确定性和风险因素,可避免结构的过保守设计,保证其在服役环境中的...加筋壳结构具有较高的比刚度和比强度,被广泛应用于航空航天承力结构中。可靠性优化设计(Reliability Based Design Optimization,RBDO)方法通过综合考虑结构参数中的不确定性和风险因素,可避免结构的过保守设计,保证其在服役环境中的可靠性和安全性。提出了一种基于自适应代理模型的高效RBDO方法,来解决屈曲可靠性约束下的加筋壳结构轻量化设计问题。基于预期可行性函数准则实现了样本点的自适应添加,并通过构建分段函数将离散变量连续化,进而在保证设计结果可靠性的前提下提高优化效率。最后,通过将可靠性优化设计结果与确定性优化结果对比,验证了所提方法的有效性。展开更多
The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences (see [5]). In this paper, we establish the Ta...The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences (see [5]). In this paper, we establish the Tauberian conditions and the Cauchy criteria for weak almost convergent functions on R2+ .展开更多
In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive intege...In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least (nk+2)/(n-1). If f(f(k))nand g(g(k))nshare z in D for each pair of functions f and g, then F is normal.展开更多
A new security test for the substitution boxes (S-boxes) high-order bit independence criterion (HOBIC) test, is presented. Different from the previous security tests for S-boxes, the HOBIC test can be used to meas...A new security test for the substitution boxes (S-boxes) high-order bit independence criterion (HOBIC) test, is presented. Different from the previous security tests for S-boxes, the HOBIC test can be used to measure the strength of an S-box against attacks that keep some of its input bits constant. Test results over the S-boxes of Data Encryption Standard (DES) and Advanced Encryption Standard (AES) are given and some possible applications of the HOBIC test are analyzed. Meanwhile, the source code for a basic version of the HOBIC test is also provided, the implement process of which shows that it is very fast and efficient for practical applications .展开更多
基金supported by the Major Basic Research Development Program of China (973 Project No. 2007CB209608)
摘要Phase spectrum estimation of the seismic wavelet is an important issue in high-resolution seismic data processing and interpretation. On the basis of two patterns of constant-phase rotation and root transform for wavelet phase spectrum variation, we introduce six sparse criteria, including Lu’s improved kurtosis criterion, the parsimony criterion, exponential transform criterion, Sech criterion, Cauchy criterion, and the modified Cauchy criterion, to phase spectrum estimation of the seismic wavelet, obtaining an equivalent effect to the kurtosis criterion. Through numerical experiments, we find that when the reflectivity is not a sparse sequence, the estimated phase spectrum of the seismic wavelet based on the criterion function will deviate from the true value. In order to eliminate the influence of non-sparse reflectivity series in a single trace, we apply the method to the multi-trace seismogram, improving the accuracy of seismic wavelet phase spectrum estimation.
基金supported by the National Natural Science Fundation of China (60736021)the Joint Funds of NSFC-Guangdong Province(U0735003)
摘要Kernel-based methods work by embedding the data into a feature space and then searching linear hypothesis among the embedding data points. The performance is mostly affected by which kernel is used. A promising way is to learn the kernel from the data automatically. A general regularized risk functional (RRF) criterion for kernel matrix learning is proposed. Compared with the RRF criterion, general RRF criterion takes into account the geometric distributions of the embedding data points. It is proven that the distance between different geometric distdbutions can be estimated by their centroid distance in the reproducing kernel Hilbert space. Using this criterion for kernel matrix learning leads to a convex quadratically constrained quadratic programming (QCQP) problem. For several commonly used loss functions, their mathematical formulations are given. Experiment results on a collection of benchmark data sets demonstrate the effectiveness of the proposed method.
基金This project was supported by the National Natural Science Foundation of China(70171004)Tianjin Natural Science Foundation(013602611).
摘要Probability criterion has its practical significance, and its investment decision-making is determined by the expected discounted wealth. In a complete, standard financial market with short-selling allowed, this paper probes into the investment decision-making with probability criterion. The upper limit of criterion function is obtained. The corresponding discounted wealth process and hedging portfolio process are provided. Finally, an illustrative example of one-dimensional constant-coefficient financial market is given.
摘要Aiming to provide an appropriate number K of clusters, in this paper, we propose a new criterion function - H criterion function, whose three properties have also been proved. We validate the performance of the H criterion function on one artificial dataset and three real-world datasets, and the results are almostly consistent with a previous method. The nonparametric criterion we proposed is intuitive, simple and the computational cost is acceptable.
摘要In this paper, we study the normal families related with a Hayman conjecture of higher derivative concerning zero numbers, and get one normal criteria.Our result improve some earlier related result.
基金This research was supported by the National Natural Sci—ence Foundation of China(Grant No.50474015)
摘要In Haigh Westergaard stress space linear combination of twin shear stress and Tresca yield functions is called the mean yield (MY) criterion. The mathematical relationship of the criterion and its plastic work rate done per unit volume were derived. A generalized worked example of slab forging was analyzed by the criterion and its corresponding plastic work rate done per unit volume. Then, the precision of the solution was compared with those by Mises and Twin shear stress yield criterions, respectively. It turned out that the calculated results by MY criterion were in good agreement with those by Mises criterion.
摘要针对网络化电力系统在分布式拒绝服务(Distributed Denial of Service,DDoS)攻击与控制器增益偏差并存导致的频率调节退化问题,提出一种将非脆弱比例积分(Non-fragile Proportional Integral,NFPI)与Q-learning自适应采样结合的采样数据负荷频率控制(Load Frequency Control,LFC)框架。采用伯努利随机门控刻画由DDoS引发的指令丢失与阻塞,构建含状态、采样保持与能量积分项的Lyapunov-Krasovskii泛函,并配合线性矩阵不等式(Linear Matrix Inequalities,LMIs)给出H∞稳定性判据与控制器综合。同时以频差和攻击指示等构成学习状态,将候选采样间隔离散为动作空间并设计兼顾误差与通信代价的回报函数以在线优化采样策略。仿真表明,在较高攻击概率下该方案仍能实现频率快速且近乎无过冲的收敛,并在保持可比稳态精度的前提下显著减少采样与控制更新,从而在增益不确定与对抗性丢包并存时兼顾鲁棒性与通信效率,适于现代网络化电力系统部署。
摘要加筋壳结构具有较高的比刚度和比强度,被广泛应用于航空航天承力结构中。可靠性优化设计(Reliability Based Design Optimization,RBDO)方法通过综合考虑结构参数中的不确定性和风险因素,可避免结构的过保守设计,保证其在服役环境中的可靠性和安全性。提出了一种基于自适应代理模型的高效RBDO方法,来解决屈曲可靠性约束下的加筋壳结构轻量化设计问题。基于预期可行性函数准则实现了样本点的自适应添加,并通过构建分段函数将离散变量连续化,进而在保证设计结果可靠性的前提下提高优化效率。最后,通过将可靠性优化设计结果与确定性优化结果对比,验证了所提方法的有效性。
摘要The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences (see [5]). In this paper, we establish the Tauberian conditions and the Cauchy criteria for weak almost convergent functions on R2+ .
摘要In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least (nk+2)/(n-1). If f(f(k))nand g(g(k))nshare z in D for each pair of functions f and g, then F is normal.
基金Supported by the National Science Foundation of China (61072140)the Doctoral Program Foundation of Institutions of Higher Education of China (20100203110003)+1 种基金the 111 Project (B08038)the Fundamental Research Funds for the Central Universities ( JY10000901034)
摘要A new security test for the substitution boxes (S-boxes) high-order bit independence criterion (HOBIC) test, is presented. Different from the previous security tests for S-boxes, the HOBIC test can be used to measure the strength of an S-box against attacks that keep some of its input bits constant. Test results over the S-boxes of Data Encryption Standard (DES) and Advanced Encryption Standard (AES) are given and some possible applications of the HOBIC test are analyzed. Meanwhile, the source code for a basic version of the HOBIC test is also provided, the implement process of which shows that it is very fast and efficient for practical applications .