一类离散时滞神经网模型解的收敛性和周期性

考虑了一类具分段常数非线性时滞差分系统,得到了系统解的收敛性和周期性结果．     

关于一类具有时滞的双向联想记忆神经网络的收敛性

研究了一类具有时滞的双层双向联想记忆模型的收敛性,给出了平衡点的存在性、唯一性、全局渐近稳定性的充分条件．     

关于《一类具时滞的神经网络模型的收敛性》的注记

本文研究了一类具有时滞的神经网络模型     

一类具有时滞的神经网络模型的收敛性

运用Lyapunov泛函方法,讨论一类具有时滞的神经网络模型平衡点的全局渐近稳定性,并获得一个新的充分条件．     

变时延神经网络的全局指数稳定性及收敛性

利用Lyapunov泛函方法和线性矩阵不等式（LMI）技术,通过引入一系列参数,给出全局指数稳定的平衡点的判别条件和时延的最大上界和神经网络的收敛速度,所得结果较之一些文献中的结果简单、实用并且对于具体设计带时延神经网络有重要的指导意义.最后,通过实例表明给出的判定条件是有效、可行的.     

具有分布时滞离散Cohen-Grossberg神经网络的周期解

讨论了一类具有分布时滞离散Cohen-Grossberg神经网络模型,利用M-矩阵理论与适合的Lypunov函数,得到该类模型周期解的存在性与全局指数稳定性．     

时延细胞神经网络的全局稳定性分析

本文利用 Ｌｙａｐｕｎｏｖ泛函方法和一些分析技巧得到了一类时延细胞神经网络ＤＣＮＮ全局渐进稳定性的若干新的判据;这些判据可用于设计出全局稳定的各种动态网络,且在信号处理,特别是动态图象处理中具有重要的意义．     

变时滞区间细胞神经网络的全局鲁棒稳定性

利用拓扑度理论和Liapunov泛函方法讨论了变时滞区间细胞神经网络的全局鲁棒稳定性．给出了实用有效的判定条件,推广了有关文献中的结果．     

短时记忆的神经网络模型

提出一个带有指针环路的短时记忆神经网络模型,模型包含两个神经网络,其中一个是与长时记忆共有的存贮内容表达网络,另一个为短时指针神经元环路,由于指针环路仅作为记忆内容的临时指针,因此,仅用很少的存贮单元即可完成各种短时记忆任务,计算机仿真证明,本模型确能表现出短时记忆的存贮容量有限和组块编码两个基本特征。     

具有时滞的细胞神经网络模型的全局指数稳定性

利用拓扑度理论、推广的Halanaly矩阵时滞微分不等式、Lyapunov原理以及Dini导数,研究了具有时滞的细胞神经网络模型的全局指数稳定性．去掉了有关文献中要求输出函数fj在实数集R上有界、可微的条件,给出了更弱的判定平衡点的存在唯一性以及全局指数稳定性的判据,推广和改进了前人的相关结论,最后的数值例子说明本文结果不仅保守性小,而且计算简单．     

Convergence in Continuous Hopfield Neural Network with Delays

IIntroductionWeconsiderthenetworkbasedonHopfleldcircuitequationwiththeadditionofdelayswhereu;（t）IstheInPutvoltageofthel一thneuron,C;IscaPacitance,KIsthetotalresls－tanceattheInputofneuron。,人Isslgmoldaltransferfunction．Inthispaper,weconsiderthenormalizedsystemof（l）。fthetypeThereexistsanextensivekeratureonvariousaspectsofsystemsoftheform（2）withandwithouttimedelays,werefertoEI,2,3jandthereferencescitedtherein．ThepurposeofthispaperIstoderivesufficientconditionsfortheglobal…     

具有leakage时滞与随机干扰的离散神经网络渐近稳定性分析

研究了一类具有leakage时滞与随机干扰的离散型神经网络的全局渐近稳定性问题．利用一种新的时滞分割方法将时滞区间分割为多个区间．通过构造新的Lyapunov泛函得到了基于线性矩阵不等式（LMI）的渐近稳定性判据．该判据在获得更小的保守性同时也降低了计算的复杂度．     

Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays

In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete-time model of complex-valued neural networks is derived. Moreover, by using the complex-valued Lyapunov-Krasovskii functional method and linear matrix inequality as tools, sufficient conditions of the synchronization stability are obtained. In numerical simulation, examples are presented to show the effectiveness of our method.     

Image-Based Flow Prediction of Vocal Folds Using 3D Convolutional Neural Networks

In this work,a three dimensional(3D)convolutional neural network(CNN)model based on image slices of various normal and pathological vocal folds is proposed for accurate and efficient prediction of glottal flows.The 3D CNN model is composed of the feature extraction block and regression block.The feature extraction block is capable of learning low dimensional features from the high dimensional image data of the glottal shape,and the regression block is employed to flatten the output from the feature extraction block and obtain the desired glottal flow data.The input image data is the condensed set of 2D image slices captured in the axial plane of the 3D vocal folds,where these glottal shapes are synthesized based on the equa-tions of normal vibration modes.The output flow data is the corresponding flow rate,averaged glottal pressure and nodal pressure distributions over the glottal surface.The 3D CNN model is built to establish the mapping between the input image data and output flow data.The ground-truth flow variables of each glottal shape in the training and test datasets are obtained by a high-fidelity sharp-interface immersed-boundary solver.The proposed model is trained to predict the concerned flow variables for glottal shapes in the test set.The present 3D CNN model is more efficient than traditional Computational Fluid Dynamics(CFD)models while the accuracy can still be retained,and more powerful than previous data-driven prediction models because more details of the glottal flow can be provided.The prediction performance of the trained 3D CNN model in accuracy and efficiency indicates that this model could be promising for future clinical applications.     

Analytical and Simulation Results for Stochastic Fitzhugh-Nagumo Neurons and Neural Networks

An analytical approach is presented for determining the response of a neuron or of the activity in a network of connected neurons, represented by systems of nonlinear ordinary stochastic differential equations—the Fitzhugh-Nagumo system with Gaussian white noise current. For a single neuron, five equations hold for the first- and second-order central moments of the voltage and recovery variables. From this system we obtain, under certain assumptions, five differential equations for the means, variances, and covariance of the two components. One may use these quantities to estimate the probability that a neuron is emitting an action potential at any given time. The differential equations are solved by numerical methods. We also perform simulations on the stochastic Fitzugh-Nagumo system and compare the results with those obtained from the differential equations for both sustained and intermittent deterministic current inputs withsuperimposed noise. For intermittent currents, which mimic synaptic input, the agreement between the analytical and simulation results for the moments is excellent. For sustained input, the analytical approximations perform well for small noise as there is excellent agreement for the moments. In addition, the probability that a neuron is spiking as obtained from the empirical distribution of the potential in the simulations gives a result almost identical to that obtained using the analytical approach. However, when there is sustained large-amplitude noise, the analytical method is only accurate for short time intervals. Using the simulation method, we study the distribution of the interspike interval directly from simulated sample paths. We confirm that noise extends the range of input currents over which (nonperiodic) spike trains may exist and investigate the dependence of such firing on the magnitude of the mean input current and the noise amplitude. For networks we find the differential equations for the means, variances, and covariances of the voltage and recovery variables and show how solving them leads to an expression for the probability that a given neuron, or given set of neurons, is firing at time t. Using such expressions one may implement dynamical rules for changing synaptic strengths directly without sampling. The present analytical method applies equally well to temporally nonhomogeneous input currents and is expected to be useful for computational studies of information processing in various nervous system centers.     

人工神经网络的局域性对网络训练速度的影响

从网络结构入手,提出了网络局域性的概念。作为网络结构的一种定量描述,探讨了网络结构与训练速度、预测精度间的对应关系。结果表明网络的训练速度随局域性的增加而增加,网络的预测精神在局域性０．５５附近达到最高,任何偏离都会导致网络预测精度的下降。为在生化过程具体应用中选择合理的神经网络类型提供了理论依据。