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Data-based system modeling using a type-2 fuzzy neural network with a hybrid learning algorithm. 基于数据的系统建模采用2型模糊神经网络和混合学习算法。
Pub Date : 2011-12-01 Epub Date: 2011-10-17 DOI: 10.1109/TNN.2011.2170095
Chi-Yuan Yeh, Wen-Hau Roger Jeng, Shie-Jue Lee

We propose a novel approach for building a type-2 neural-fuzzy system from a given set of input-output training data. A self-constructing fuzzy clustering method is used to partition the training dataset into clusters through input-similarity and output-similarity tests. The membership function associated with each cluster is defined with the mean and deviation of the data points included in the cluster. Then a type-2 fuzzy Takagi-Sugeno-Kang IF-THEN rule is derived from each cluster to form a fuzzy rule base. A fuzzy neural network is constructed accordingly and the associated parameters are refined by a hybrid learning algorithm which incorporates particle swarm optimization and a least squares estimation. For a new input, a corresponding crisp output of the system is obtained by combining the inferred results of all the rules into a type-2 fuzzy set, which is then defuzzified by applying a refined type reduction algorithm. Experimental results are presented to demonstrate the effectiveness of our proposed approach.

我们提出了一种从给定的输入输出训练数据集构建2型神经模糊系统的新方法。采用自构造模糊聚类方法,通过输入相似度和输出相似度检验将训练数据集划分为不同的聚类。与每个簇相关联的隶属函数用簇中包含的数据点的平均值和偏差来定义。然后从每个聚类中导出一个2型模糊的Takagi-Sugeno-Kang IF-THEN规则,形成一个模糊规则库。在此基础上构建了模糊神经网络,并采用粒子群优化和最小二乘估计相结合的混合学习算法对相关参数进行了细化。对于一个新的输入,通过将所有规则的推断结果组合成一个2型模糊集,得到系统相应的清晰输出,然后使用改进的类型约简算法对其进行去模糊化。实验结果证明了该方法的有效性。
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引用次数: 45
Approximate dynamic programming for optimal stationary control with control-dependent noise. 带控制相关噪声的最优平稳控制的近似动态规划。
Pub Date : 2011-12-01 Epub Date: 2011-09-26 DOI: 10.1109/TNN.2011.2165729
Yu Jiang, Zhong-Ping Jiang

This brief studies the stochastic optimal control problem via reinforcement learning and approximate/adaptive dynamic programming (ADP). A policy iteration algorithm is derived in the presence of both additive and multiplicative noise using Itô calculus. The expectation of the approximated cost matrix is guaranteed to converge to the solution of some algebraic Riccati equation that gives rise to the optimal cost value. Moreover, the covariance of the approximated cost matrix can be reduced by increasing the length of time interval between two consecutive iterations. Finally, a numerical example is given to illustrate the efficiency of the proposed ADP methodology.

本文研究了基于强化学习和近似/自适应动态规划(ADP)的随机最优控制问题。利用Itô微积分推导了一种同时存在加性和乘性噪声的策略迭代算法。该近似代价矩阵的期望保证收敛于产生最优代价值的代数Riccati方程的解。此外,通过增加两次连续迭代之间的时间间隔长度,可以减小近似代价矩阵的协方差。最后,给出了一个数值算例来说明所提出的ADP方法的有效性。
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引用次数: 27
Nonlinear system identification by Gustafson-Kessel fuzzy clustering and supervised local model network learning for the drug absorption spectra process. 基于Gustafson-Kessel模糊聚类和监督局部模型网络学习的药物吸收光谱非线性系统辨识。
Pub Date : 2011-12-01 Epub Date: 2011-10-25 DOI: 10.1109/TNN.2011.2170093
Luka Teslic, Benjamin Hartmann, Oliver Nelles, Igor Skrjanc

This paper deals with the problem of fuzzy nonlinear model identification in the framework of a local model network (LMN). A new iterative identification approach is proposed, where supervised and unsupervised learning are combined to optimize the structure of the LMN. For the purpose of fitting the cluster-centers to the process nonlinearity, the Gustafsson-Kessel (GK) fuzzy clustering, i.e., unsupervised learning, is applied. In combination with the LMN learning procedure, a new incremental method to define the number and the initial locations of the cluster centers for the GK clustering algorithm is proposed. Each data cluster corresponds to a local region of the process and is modeled with a local linear model. Since the validity functions are calculated from the fuzzy covariance matrices of the clusters, they are highly adaptable and thus the process can be described with a very sparse amount of local models, i.e., with a parsimonious LMN model. The proposed method for constructing the LMN is finally tested on a drug absorption spectral process and compared to two other methods, namely, Lolimot and Hilomot. The comparison between the experimental results when using each method shows the usefulness of the proposed identification algorithm.

本文研究了局部模型网络框架下的模糊非线性模型辨识问题。提出了一种新的迭代识别方法,将监督学习和无监督学习相结合,对LMN的结构进行优化。为了将聚类中心拟合到过程非线性中,应用了Gustafsson-Kessel (GK)模糊聚类,即无监督学习。结合LMN学习过程,提出了一种新的增量方法来定义GK聚类算法的聚类中心个数和初始位置。每个数据簇对应于流程的一个局部区域,并使用局部线性模型进行建模。由于有效性函数是从聚类的模糊协方差矩阵中计算出来的,因此它们具有很强的适应性,因此可以用非常稀疏的局部模型来描述过程,即使用简约的LMN模型。最后在药物吸收光谱过程中对所提出的构建LMN的方法进行了测试,并与Lolimot和Hilomot两种方法进行了比较。通过对各方法的实验结果进行比较,验证了所提识别算法的有效性。
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引用次数: 50
Mobility timing for agent communities, a cue for advanced connectionist systems. 智能体社区的移动性时序,为高级连接主义系统提供线索。
Pub Date : 2011-12-01 Epub Date: 2011-10-28 DOI: 10.1109/TNN.2011.2168536
Bruno Apolloni, Simone Bassis, Elena Pagani, Gian Paolo Rossi, Lorenzo Valerio

We introduce a wait-and-chase scheme that models the contact times between moving agents within a connectionist construct. The idea that elementary processors move within a network to get a proper position is borne out both by biological neurons in the brain morphogenesis and by agents within social networks. From the former, we take inspiration to devise a medium-term project for new artificial neural network training procedures where mobile neurons exchange data only when they are close to one another in a proper space (are in contact). From the latter, we accumulate mobility tracks experience. We focus on the preliminary step of characterizing the elapsed time between neuron contacts, which results from a spatial process fitting in the family of random processes with memory, where chasing neurons are stochastically driven by the goal of hitting target neurons. Thus, we add an unprecedented mobility model to the literature in the field, introducing a distribution law of the intercontact times that merges features of both negative exponential and Pareto distribution laws. We give a constructive description and implementation of our model, as well as a short analytical form whose parameters are suitably estimated in terms of confidence intervals from experimental data. Numerical experiments show the model and related inference tools to be sufficiently robust to cope with two main requisites for its exploitation in a neural network: the nonindependence of the observed intercontact times and the feasibility of the model inversion problem to infer suitable mobility parameters.

我们引入了一种等待-追逐方案,该方案在连接主义结构中对移动代理之间的接触时间进行建模。初级处理器在网络中移动以获得适当位置的想法,既得到了大脑形态发生中的生物神经元的证实,也得到了社会网络中的代理的证实。从前者中,我们得到灵感,设计了一个新的人工神经网络训练程序的中期项目,其中移动神经元只有在适当的空间(接触)中彼此接近时才交换数据。从后者中,我们积累了移动轨迹的经验。我们将重点放在表征神经元接触时间的初步步骤上,这是由具有记忆的随机过程族中的空间过程拟合产生的,其中追逐神经元是由击中目标神经元的目标随机驱动的。因此,我们在该领域的文献中添加了一个前所未有的流动性模型,引入了一个融合了负指数和帕累托分布规律特征的相互接触时间分布规律。我们给出了一个建设性的描述和我们的模型的实现,以及一个简短的解析形式,其参数是根据实验数据的置信区间适当估计的。数值实验表明,该模型和相关的推理工具具有足够的鲁棒性,能够满足在神经网络中应用该模型的两个主要要求:观测到的接触时间的非独立性和模型反演问题推断合适迁移参数的可行性。
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引用次数: 1
Adaptive evolutionary artificial neural networks for pattern classification. 模式分类的自适应进化人工神经网络。
Pub Date : 2011-11-01 Epub Date: 2011-10-03 DOI: 10.1109/TNN.2011.2169426
Tatt Hee Oong, Nor Ashidi Mat Isa

This paper presents a new evolutionary approach called the hybrid evolutionary artificial neural network (HEANN) for simultaneously evolving an artificial neural networks (ANNs) topology and weights. Evolutionary algorithms (EAs) with strong global search capabilities are likely to provide the most promising region. However, they are less efficient in fine-tuning the search space locally. HEANN emphasizes the balancing of the global search and local search for the evolutionary process by adapting the mutation probability and the step size of the weight perturbation. This is distinguishable from most previous studies that incorporate EA to search for network topology and gradient learning for weight updating. Four benchmark functions were used to test the evolutionary framework of HEANN. In addition, HEANN was tested on seven classification benchmark problems from the UCI machine learning repository. Experimental results show the superior performance of HEANN in fine-tuning the network complexity within a small number of generations while preserving the generalization capability compared with other algorithms.

本文提出了一种新的进化方法——混合进化人工神经网络(HEANN),用于同时进化人工神经网络的拓扑结构和权值。具有强大全局搜索能力的进化算法(EAs)可能提供最有希望的区域。然而,它们在局部微调搜索空间方面效率较低。HEANN通过调整权重扰动的突变概率和步长,强调进化过程的全局搜索和局部搜索的平衡。这与之前的大多数研究中采用EA来搜索网络拓扑和梯度学习来更新权重的方法不同。采用四个基准函数对HEANN的进化框架进行了测试。此外,HEANN在UCI机器学习存储库中的七个分类基准问题上进行了测试。实验结果表明,与其他算法相比,HEANN在保留泛化能力的同时,在小代内对网络复杂度进行微调。
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引用次数: 82
Estimating the ultimate bound and positively invariant set for a class of Hopfield networks. 一类Hopfield网络的极限界和正不变集的估计。
Pub Date : 2011-11-01 Epub Date: 2011-09-26 DOI: 10.1109/TNN.2011.2166275
Jianxiong Zhang, Wansheng Tang, Pengsheng Zheng

In this paper, we investigate the ultimate bound and positively invariant set for a class of Hopfield neural networks (HNNs) based on the Lyapunov stability criterion and Lagrange multiplier method. It is shown that a hyperelliptic estimate of the ultimate bound and positively invariant set for the HNNs can be calculated by solving a linear matrix inequality (LMI). Furthermore, the global stability of the unique equilibrium and the instability region of the HNNs are analyzed, respectively. Finally, the most accurate estimate of the ultimate bound and positively invariant set can be derived by solving the corresponding optimization problems involving the LMI constraints. Some numerical examples are given to illustrate the effectiveness of the proposed results.

本文基于Lyapunov稳定性判据和Lagrange乘子方法研究了一类Hopfield神经网络的极限界和正不变集。通过求解线性矩阵不等式(LMI),得到了hnn的极限界和正不变集的超椭圆估计。在此基础上,分析了hnn的唯一平衡点的全局稳定性和不稳定性区域。最后,通过求解相应的涉及LMI约束的优化问题,得到了最终界和正不变集的最精确估计。数值算例说明了所提结果的有效性。
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引用次数: 1
Asynchronous event-based hebbian epipolar geometry. 基于异步事件的hebbian极几何。
Pub Date : 2011-11-01 Epub Date: 2011-09-26 DOI: 10.1109/TNN.2011.2167239
Ryad Benosman, Sio-Hoï Ieng, Paul Rogister, Christoph Posch

Epipolar geometry, the cornerstone of perspective stereo vision, has been studied extensively since the advent of computer vision. Establishing such a geometric constraint is of primary importance, as it allows the recovery of the 3-D structure of scenes. Estimating the epipolar constraints of nonperspective stereo is difficult, they can no longer be defined because of the complexity of the sensor geometry. This paper will show that these limitations are, to some extent, a consequence of the static image frames commonly used in vision. The conventional frame-based approach suffers from a lack of the dynamics present in natural scenes. We introduce the use of neuromorphic event-based--rather than frame-based--vision sensors for perspective stereo vision. This type of sensor uses the dimension of time as the main conveyor of information. In this paper, we present a model for asynchronous event-based vision, which is then used to derive a general new concept of epipolar geometry linked to the temporal activation of pixels. Practical experiments demonstrate the validity of the approach, solving the problem of estimating the fundamental matrix applied, in a first stage, to classic perspective vision and then to more general cameras. Furthermore, this paper shows that the properties of event-based vision sensors allow the exploration of not-yet-defined geometric relationships, finally, we provide a definition of general epipolar geometry deployable to almost any visual sensor.

极极几何是透视立体视觉的基础,自计算机视觉出现以来一直受到广泛的研究。建立这样的几何约束是至关重要的,因为它可以恢复场景的三维结构。由于传感器几何结构的复杂性,非透视立体的极面约束估计是一个困难的问题。本文将表明,在某种程度上,这些限制是视觉中常用的静态图像帧的结果。传统的基于框架的方法缺乏自然场景中的动态。我们介绍了基于事件的神经形态视觉传感器的使用,而不是基于框架的视角立体视觉。这种类型的传感器以时间维度作为信息的主要传送带。在本文中,我们提出了一个基于异步事件的视觉模型,然后将其用于导出与像素的时间激活相关的极极几何的一般新概念。实际实验证明了该方法的有效性,解决了基本矩阵的估计问题,首先应用于经典的透视视觉,然后应用于更通用的相机。此外,本文表明基于事件的视觉传感器的特性允许探索尚未定义的几何关系,最后,我们提供了一个可部署到几乎任何视觉传感器的一般极几何的定义。
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引用次数: 48
Stability and convergence analysis for a class of neural networks. 一类神经网络的稳定性与收敛性分析。
Pub Date : 2011-11-01 Epub Date: 2011-09-29 DOI: 10.1109/TNN.2011.2167760
Xingbao Gao, Li-Zhi Liao

In this paper, we analyze and establish the stability and convergence of the dynamical system proposed by Xia and Feng, whose equilibria solve variational inequality and related problems. Under the pseudo-monotonicity and other conditions, this system is proved to be stable in the sense of Lyapunov and converges to one of its equilibrium points for any starting point. Meanwhile, the global exponential stability of this system is also shown under some mild conditions without the strong monotonicity of the mapping. The obtained results improve and correct some existing ones. The validity and performance of this system are demonstrated by some numerical examples.

本文分析并建立了Xia和Feng提出的求解变分不等式及相关问题的动力系统的稳定性和收敛性。在伪单调性等条件下,证明了该系统在Lyapunov意义上是稳定的,并对任意起始点收敛于其平衡点之一。同时,在不存在强单调性的条件下,也证明了该系统的全局指数稳定性。所得结果是对已有结果的改进和修正。通过数值算例验证了该系统的有效性和性能。
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引用次数: 2
Spectral embedded clustering: a framework for in-sample and out-of-sample spectral clustering. 光谱嵌入聚类:样本内和样本外光谱聚类的框架。
Pub Date : 2011-11-01 Epub Date: 2011-09-29 DOI: 10.1109/TNN.2011.2162000
Feiping Nie, Zinan Zeng, Ivor W Tsang, Dong Xu, Changshui Zhang

Spectral clustering (SC) methods have been successfully applied to many real-world applications. The success of these SC methods is largely based on the manifold assumption, namely, that two nearby data points in the high-density region of a low-dimensional data manifold have the same cluster label. However, such an assumption might not always hold on high-dimensional data. When the data do not exhibit a clear low-dimensional manifold structure (e.g., high-dimensional and sparse data), the clustering performance of SC will be degraded and become even worse than K -means clustering. In this paper, motivated by the observation that the true cluster assignment matrix for high-dimensional data can be always embedded in a linear space spanned by the data, we propose the spectral embedded clustering (SEC) framework, in which a linearity regularization is explicitly added into the objective function of SC methods. More importantly, the proposed SEC framework can naturally deal with out-of-sample data. We also present a new Laplacian matrix constructed from a local regression of each pattern and incorporate it into our SEC framework to capture both local and global discriminative information for clustering. Comprehensive experiments on eight real-world high-dimensional datasets demonstrate the effectiveness and advantages of our SEC framework over existing SC methods and K-means-based clustering methods. Our SEC framework significantly outperforms SC using the Nyström algorithm on unseen data.

光谱聚类(SC)方法已经成功地应用于许多实际应用中。这些SC方法的成功很大程度上基于流形假设,即在低维数据流形的高密度区域中的两个邻近数据点具有相同的聚类标签。然而,这种假设可能并不总是适用于高维数据。当数据不表现出清晰的低维流形结构时(如高维稀疏数据),SC的聚类性能会下降,甚至比K均值聚类更差。基于观察到高维数据的真实聚类分配矩阵总是可以嵌入到数据所跨越的线性空间中,我们提出了频谱嵌入聚类(SEC)框架,该框架将线性正则化明确地加入到SC方法的目标函数中。更重要的是,拟议的SEC框架可以自然地处理样本外数据。我们还提出了一个由每个模式的局部回归构造的新的拉普拉斯矩阵,并将其纳入我们的SEC框架中,以捕获局部和全局判别信息用于聚类。在8个真实世界的高维数据集上进行的综合实验表明,我们的SEC框架比现有的SC方法和基于k均值的聚类方法具有有效性和优势。我们的SEC框架在不可见数据上使用Nyström算法显著优于SC。
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引用次数: 285
Decentralized dynamic surface control of large-scale interconnected systems in strict-feedback form using neural networks with asymptotic stabilization. 基于渐近镇定神经网络的严格反馈型大型互联系统分散动态面控制。
Pub Date : 2011-11-01 Epub Date: 2011-09-08 DOI: 10.1109/TNN.2011.2140381
Shahab Mehraeen, Sarangapani Jagannathan, Mariesa L Crow

A novel neural network (NN)-based nonlinear decentralized adaptive controller is proposed for a class of large-scale, uncertain, interconnected nonlinear systems in strict-feedback form by using the dynamic surface control (DSC) principle, thus, the "explosion of complexity" problem which is observed in the conventional backstepping approach is relaxed in both state and output feedback control designs. The matching condition is not assumed when considering the interconnection terms. Then, NNs are utilized to approximate the uncertainties in both subsystem and interconnected terms. By using novel NN weight update laws with quadratic error terms as well as proposed control inputs, it is demonstrated using Lyapunov stability that the system states errors converge to zero asymptotically with both state and output feedback controllers, even in the presence of NN approximation errors in contrast with the uniform ultimate boundedness result, which is common in the literature with NN-based DSC and backstepping schemes. Simulation results show the effectiveness of the approach.

采用动态面控制(DSC)原理,针对一类具有严格反馈形式的大规模不确定互联非线性系统,提出了一种基于神经网络的非线性分散自适应控制器,从而缓解了传统反步控制方法中存在的“复杂度爆炸”问题。在考虑互联条件时,不假设匹配条件。然后,利用神经网络对子系统和互联项中的不确定性进行近似。通过使用具有二次误差项的新颖NN权值更新律以及提出的控制输入,利用Lyapunov稳定性证明了状态反馈控制器和输出反馈控制器的系统状态误差渐近收敛于零,即使存在NN逼近误差,而不是在基于NN的DSC和退步方案中常见的一致最终有界结果。仿真结果表明了该方法的有效性。
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引用次数: 94
期刊
IEEE transactions on neural networks
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