决策表中基于对象的μ-约简方法研究

研究了不协调决策表中基于对象的μ-约简问题,给出了μ-约简的一些性质及等价定义,得到了μ-约简的判定定理和相应的可辨识矩阵及辨识公式,从而提供了不协调目标信息系统知识约简的新方法。并通过实例将决策表中基于对象的约简与整体约简进行了对比,结果表明前者可以得到更简洁的知识。该方法也适用于协调目标信息系统。     

带有不同否定的模糊命题逻辑的形式演绎系统

对于模糊知识及其否定关系,潘正华指出应该明确地分为矛盾否定关系、对立否定关系和中介否定关系,并建立了一种具有矛盾否定、对立否定和中介否定的模糊集FScom（fuzzy sets with contradictory negation, opposite negation and medium negation）,随后建立了一种改进的模糊集IFScom（improved FScom）。为给模糊集FScom及其改进IFScom提供一种逻辑工具,提出了一种带有矛盾否定、对立否定和中介否定的模糊命题逻辑演算系统FPcom,并在给定无穷值语义赋值模型以及可满足性定义下,证明了FPcom具有可靠性和完备性。FPcom在一定意义上可视为对中介命题演算系统的改进。     

The design and analysis of unequal error protection fountain coding for multiple source networks over binary erasure channels

A novel network model of multiple source fountain coding is developed and a novel class of generic multiple source fountain codes with unequal error protection(UEP)property is proposed.The And–Or tree analysis technique is generalized to analyze the asymptotic performance of the proposed codes and a joint optimization method employing both linear and nonlinear programs is developed to optimize the degree distributions.Furthermore,we propose three basic methods to achieve UEP property and the performance of each method is discussed.We employ these analytical results and optimization method to design and discuss several UEP codes with two and four sources for different application scenarios.Simulation results verify that the proposed codes can be applied to the networks with any number of sources and can provide strong UEP property in various ways based on the proposed three basic methods.     

Fractional partial differential equation denoising models for texture image

In this paper,a set of fractional partial differential equations based on fractional total variation and fractional steepest descent approach are proposed to address the problem of traditional drawbacks of PM and ROF multi-scale denoising for texture image.By extending Green,Gauss,Stokes and Euler-Lagrange formulas to fractional field,we can find that the integer formulas are just their special case of fractional ones.In order to improve the denoising capability,we proposed 4 fractional partial differential equation based multiscale denoising models,and then discussed their stabilities and convergence rate.Theoretic deduction and experimental evaluation demonstrate the stability and astringency of fractional steepest descent approach,and fractional nonlinearly multi-scale denoising capability and best value of parameters are discussed also.The experiments results prove that the ability for preserving high-frequency edge and complex texture information of the proposed denoising models are obviously superior to traditional integral based algorithms,especially for texture detail rich images.     

Delay‐dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays

In this article, we study the delay‐dependent stability of a class of hybrid neutral stochastic differential equations (NSDEs) with multiple delays which is highly nonlinear. Some novel stability criteria are investigated according to Lyapunov functions and generalized Itô's formula. In particular, we generalize and improve the results in Shen et al, Systems & Control Letters (2018) from a single delay to multiple delays.     

复杂系统平均寿命的估计和性质

根据已知的基于最小路径或最小割集复杂系统可靠度函数的解析表达式,给出当子系统寿命分布服从指数分布时,系统平均寿命的表达式.利用这一表达形式,在子系统寿命变量服从指数分布条件下,分别就完全数据和截尾数据两种情况,给出了系统平均寿命的估计,并对估计性质进行了研究.并在完全数据下,给出了估计的渐近分布.     

Insight into spontaneous recurrent calcium waves in a 3-D cardiac cell based on analysis of a 1-D deterministic model

Calcium dynamics in a cardiac cell are described by a system of 3-D non-linear stochastic partial differential equations. To obtain solutions that have biophysical properties, it is necessary to explore the model parameter space. To decrease the complexity of the parameter search, we reduce the 3-D stochastic model to a 1-D deterministic model. The reduction of the problem from 3-D to 1-D is done through an asymptotic approximation after non-dimensionalization and based on rational biophysical assumptions of the 3-D domain; the stochastic to deterministic transformation is based on the regular property of the 3-D solution. The result of the model reduction proves very effective in reducing the time required to get qualitative as well as quantitative information about parameter regions in the 3-D stochastic model including calcium dynamics (sparks, wave propagation, and recovery) observed in cardiac cells.     

虚拟参考反馈校正控制的统计渐近性分析

虚拟参考反馈校正控制(VRFT)是一种数据驱动的控制策略,其避免了系统对象的建模过程,广泛应用于比例—积分—微分(PID)控制器的调整中.因未知参数估计值的统计渐近方差矩阵是整个系统辨识领域中的一个重要的衡量指标,利用泰勒级数展开得到未知参数估计的误差,对此参数估计误差建立其对应的方差矩阵式,利用矩阵运算推导出该方差矩阵式中的两对角元素.此两对角元素则对应为闭环控制系统中关于两未知参数估计矢量的渐近方差矩阵子式.以此渐近方差矩阵为基础,通过建立其迹运算的最优化问题来求解最优的滤波器.最后用仿真算例验证该方法的有效性和可行性.     

栅元有效共振积分的CUDA算法设计与实现

核反应堆中需要实时精确地计算堆芯和增殖材料的有效共振积分或群截面来实现反应堆的安全控制。整个计算过程因为涉及大量的积分运算和庞大的核素截面数据,采用常规的计算方法,计算时耗相当大。基于统一计算设备架构(CUDA)平台,利用图形处理器(GPU)的计算能力,对整个计算过程进行并行化分解,多线程同时运算,大幅度提升计算速度,降低时耗。实验结果表明,在GPU上并行计算所得结果与原始数据没有明显差异,且加速效果显著。     

一种新的融合情景的美食推荐算法

针对传统协同过滤推荐算法不适用于情景因素,严重影响用户行为的这类场景,提出一种融合情景的推荐算法,并将该算法应用于美食推荐。首先,运用由情景属性构造向量表示情景,将情景信息作为一个重要因素添加到兴趣模型中,从而产生U-I-C兴趣模型。根据用户在不同情景下使用方式的不同,重新创建当前用户与各情景相对应的子用户,得到以情景作为标识的用户-项目评分矩阵。针对融合情景的兴趣模型易产生数据稀疏问题,设计利用改进的W-SlopeOne算法对未知评分进行填充;并通过对相似度公式进行优化,进而更加准确地找到当前用户的近邻,为用户提供更加有效的推荐服务。最后,通过实验验证该算法的有效性。