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Zhang neural network versus gradient neural network for solving time-varying linear inequalities. 张神经网络与梯度神经网络求解时变线性不等式。
Pub Date : 2011-10-01 Epub Date: 2011-08-15 DOI: 10.1109/TNN.2011.2163318
Lin Xiao, Yunong Zhang

By following Zhang design method, a new type of recurrent neural network [i.e., Zhang neural network (ZNN)] is presented, investigated, and analyzed for online solution of time-varying linear inequalities. Theoretical analysis is given on convergence properties of the proposed ZNN model. For comparative purposes, the conventional gradient neural network is developed and exploited for solving online time-varying linear inequalities as well. Computer simulation results further verify and demonstrate the efficacy, novelty, and superiority of such a ZNN model and its method for solving time-varying linear inequalities.

根据张氏设计方法,提出了一种用于时变线性不等式在线求解的新型递归神经网络[即张氏神经网络(ZNN)],并对其进行了研究和分析。理论分析了所提出的ZNN模型的收敛性。为了比较起见,本文还发展了传统的梯度神经网络,并将其用于求解在线时变线性不等式。计算机仿真结果进一步验证了该ZNN模型及其求解时变线性不等式方法的有效性、新颖性和优越性。
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引用次数: 111
Observer design for switched recurrent neural networks: an average dwell time approach. 切换递归神经网络的观测器设计:平均停留时间方法。
Pub Date : 2011-10-01 Epub Date: 2011-08-04 DOI: 10.1109/TNN.2011.2162111
Jie Lian, Zhi Feng, Peng Shi

This paper is concerned with the problem of observer design for switched recurrent neural networks with time-varying delay. The attention is focused on designing the full-order observers that guarantee the global exponential stability of the error dynamic system. Based on the average dwell time approach and the free-weighting matrix technique, delay-dependent sufficient conditions are developed for the solvability of such problem and formulated as linear matrix inequalities. The error-state decay estimate is also given. Then, the stability analysis problem for the switched recurrent neural networks can be covered as a special case of our results. Finally, four illustrative examples are provided to demonstrate the effectiveness and the superiority of the proposed methods.

研究时变时滞切换递归神经网络的观测器设计问题。重点研究了保证误差动态系统全局指数稳定性的全阶观测器的设计。基于平均停留时间法和自由加权矩阵技术,建立了该问题可解性的时滞相关充分条件,并将其表述为线性矩阵不等式。给出了误差状态衰减估计。然后,可以将切换递归神经网络的稳定性分析问题作为我们研究结果的一个特例。最后,通过四个实例验证了所提方法的有效性和优越性。
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引用次数: 109
Online identification of nonlinear spatiotemporal systems using kernel learning approach. 非线性时空系统的核学习在线辨识。
Pub Date : 2011-09-01 Epub Date: 2011-07-22 DOI: 10.1109/TNN.2011.2161331
Hanwen Ning, Xingjian Jing, Li Cheng

The identification of nonlinear spatiotemporal systems is of significance to engineering practice, since it can always provide useful insight into the underlying nonlinear mechanism and physical characteristics under study. In this paper, nonlinear spatiotemporal system models are transformed into a class of multi-input-multi-output (MIMO) partially linear systems (PLSs), and an effective online identification algorithm is therefore proposed by using a pruning error minimization principle and least square support vector machines. It is shown that many benchmark physical and engineering systems can be transformed into MIMO-PLSs which keep some important physical spatiotemporal relationships and are very helpful in the identification and analysis of the underlying system. Compared with several existing methods, the advantages of the proposed method are that it can make full use of some prior structural information about system physical models, can realize online estimation of the system dynamics, and achieve accurate characterization of some important nonlinear physical characteristics of the system. This would provide an important basis for state estimation, control, optimal analysis, and design of nonlinear distributed parameter systems. The proposed algorithm can also be applied to identification problems of stochastic spatiotemporal dynamical systems. Numeral examples and comparisons are given to demonstrate our results.

非线性时空系统的识别对于工程实践具有重要意义,因为它总是可以提供对所研究的非线性机制和物理特性的有用见解。本文将非线性时空系统模型转化为一类多输入多输出(MIMO)部分线性系统(pls),并利用剪枝误差最小化原理和最小二乘支持向量机提出了一种有效的在线识别算法。结果表明,许多基准物理和工程系统都可以转化为mimo - pls, mimo - pls保持了一些重要的物理时空关系,对底层系统的识别和分析非常有帮助。与现有的几种方法相比,该方法的优点是充分利用了系统物理模型的一些先验结构信息,实现了系统动力学的在线估计,实现了系统一些重要非线性物理特性的准确表征。这将为非线性分布参数系统的状态估计、控制、优化分析和设计提供重要依据。该算法也可应用于随机时空动力系统的识别问题。通过数值算例和比较来证明我们的结果。
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引用次数: 25
New accurate and flexible design procedure for a stable KWTA continuous time network. 新的精确和灵活的设计程序稳定KWTA连续时间网络。
Pub Date : 2011-09-01 Epub Date: 2011-07-14 DOI: 10.1109/TNN.2011.2154340
Ruxandra L Costea, Corneliu A Marinov

The classical continuous time recurrent (Hopfield) network is considered and adapted to K -winner-take-all operation. The neurons are of sigmoidal type with a controllable gain G, an amplitude m and interconnected by the conductance p. The network is intended to process one by one a sequence of lists, each of them with N distinct elements, each of them squeezed to [0,I] admission interval, each of them having an imposed minimum separation between elements z(min). The network carries out: 1) a matching dynamic process between the order of list elements and the order of outputs, and 2) a binary type steady-state separation between K and K+1 outputs, the former surpassing a +ξ threshold and the later falling under the -ξ threshold. As a result, the machine will signal the ranks of the K largest elements of the list. To achieve 1), the initial condition of processing phase has to be placed in a computable θ -vicinity of zero-state. This requires a resetting procedure after each list. To achieve 2) the bias current M has to be within a certain interval computable from circuit parameters. In addition, the steady-state should be asymptotically stable. To these goals, we work with high gain and exploit the sigmoid properties and network symmetry. The various inequality type constraints between parameters are shown to be compatible and a neat synthesis procedure, simple and flexible, is given for the tanh sigmoid. It starts with the given parameters N, K, I, z(min), m and computes simple bounds of p, G, ξ, θ, and M. Numerical tests and comments reveal qualities and shortcomings of the method.

考虑了经典的连续时间递归Hopfield网络,并将其应用于K赢者通吃操作。神经元为s型,具有可控的增益G,振幅m,并通过电导p相互连接。该网络旨在逐个处理列表序列,每个列表具有N个不同的元素,每个元素被压缩到[0,i]允许间隔,每个元素之间都有一个强制最小间隔z(min)。该网络进行:1)列表元素的顺序与输出的顺序匹配的动态过程;2)K和K+1个输出之间的二元型稳态分离,前者超过+ξ阈值,后者落在-ξ阈值以下。因此,机器将发出列表中K个最大元素的排名信号。为了实现1),必须将处理阶段的初始条件置于零状态的可计算θ -附近。这需要在每个列表之后进行重置过程。为了实现2),偏置电流M必须在可由电路参数计算的一定间隔内。此外,稳态应该是渐近稳定的。为了实现这些目标,我们使用高增益并利用s型性质和网络对称性。证明了参数之间的各种不等式型约束是相容的,并给出了tanh s型的一个简洁、灵活的综合方法。它从给定的参数N, K, I, z(min), m开始,计算p, G, ξ, θ和m的简单边界。数值测试和注释揭示了该方法的优点和缺点。
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引用次数: 8
Nonlinear identification with local model networks using GTLS techniques and equality constraints. 基于GTLS技术和等式约束的局部模型网络非线性辨识。
Pub Date : 2011-09-01 Epub Date: 2011-07-22 DOI: 10.1109/TNN.2011.2159309
Christoph Hametner, Stefan Jakubek

Local model networks approximate a nonlinear system through multiple local models fitted within a partition space. The main advantage of this approach is that the identification of complex nonlinear processes is alleviated by the integration of structured knowledge about the process. This paper extends these concepts by the integration of quantitative process knowledge into the identification procedure. Quantitative knowledge describes explicit dependences between inputs and outputs and is integrated in the parameter estimation process by means of equality constraints. For this purpose, a constrained generalized total least squares algorithm for local parameter estimation is presented. Furthermore, the problem of proper integration of constraints in the partitioning process is treated where an expectation-maximization procedure is combined with constrained parameter estimation. The benefits and the applicability of the proposed concepts are demonstrated by means of two illustrative examples and a practical application using real measurement data.

局部模型网络通过在一个分区空间内拟合多个局部模型来逼近非线性系统。该方法的主要优点是通过集成有关过程的结构化知识来减轻复杂非线性过程的识别。本文通过将定量过程知识整合到识别过程中来扩展这些概念。定量知识描述了输入和输出之间的显式依赖关系,并通过等式约束集成在参数估计过程中。为此,提出了一种局部参数估计的约束广义总最小二乘算法。在此基础上,将期望最大化过程与约束参数估计相结合,讨论了分区过程中约束的合理积分问题。通过两个示例和使用实际测量数据的实际应用,证明了所提出概念的优点和适用性。
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引用次数: 28
Comprehensive review of neural network-based prediction intervals and new advances. 基于神经网络的预测区间及其新进展综述。
Pub Date : 2011-09-01 Epub Date: 2011-07-29 DOI: 10.1109/TNN.2011.2162110
Abbas Khosravi, Saeid Nahavandi, Doug Creighton, Amir F Atiya

This paper evaluates the four leading techniques proposed in the literature for construction of prediction intervals (PIs) for neural network point forecasts. The delta, Bayesian, bootstrap, and mean-variance estimation (MVE) methods are reviewed and their performance for generating high-quality PIs is compared. PI-based measures are proposed and applied for the objective and quantitative assessment of each method's performance. A selection of 12 synthetic and real-world case studies is used to examine each method's performance for PI construction. The comparison is performed on the basis of the quality of generated PIs, the repeatability of the results, the computational requirements and the PIs variability with regard to the data uncertainty. The obtained results in this paper indicate that: 1) the delta and Bayesian methods are the best in terms of quality and repeatability, and 2) the MVE and bootstrap methods are the best in terms of low computational load and the width variability of PIs. This paper also introduces the concept of combinations of PIs, and proposes a new method for generating combined PIs using the traditional PIs. Genetic algorithm is applied for adjusting the combiner parameters through minimization of a PI-based cost function subject to two sets of restrictions. It is shown that the quality of PIs produced by the combiners is dramatically better than the quality of PIs obtained from each individual method.

本文评价了文献中提出的用于神经网络点预测的预测区间(pi)构建的四种主要技术。回顾了delta、贝叶斯、bootstrap和mean-variance estimation (MVE)方法,并比较了它们在生成高质量pi方面的性能。提出了基于pi的度量,并应用于对每种方法的性能进行客观和定量的评估。选择12个合成和现实世界的案例研究,用于检查每种方法的PI构建性能。比较是根据生成的pi的质量、结果的可重复性、计算要求和pi在数据不确定性方面的可变性进行的。研究结果表明:δ和贝叶斯方法在质量和可重复性方面是最好的;MVE和bootstrap方法在低计算量和pi宽度可变性方面是最好的。本文还引入了pi组合的概念,提出了一种利用传统pi生成组合pi的新方法。采用遗传算法在两组约束条件下,通过最小化基于pi的代价函数来调整组合器参数。结果表明,组合方法得到的pi质量明显优于单独方法得到的pi质量。
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引用次数: 481
Discriminative graph embedding for label propagation. 标签传播的判别图嵌入。
Pub Date : 2011-09-01 Epub Date: 2011-07-22 DOI: 10.1109/TNN.2011.2160873
Canh Hao Nguyen, Hiroshi Mamitsuka

In many applications, the available information is encoded in graph structures. This is a common problem in biological networks, social networks, web communities and document citations. We investigate the problem of classifying nodes' labels on a similarity graph given only a graph structure on the nodes. Conventional machine learning methods usually require data to reside in some Euclidean spaces or to have a kernel representation. Applying these methods to nodes on graphs would require embedding the graphs into these spaces. By embedding and then learning the nodes on graphs, most methods are either flexible with different learning objectives or efficient enough for large scale applications. We propose a method to embed a graph into a feature space for a discriminative purpose. Our idea is to include label information into the embedding process, making the space representation tailored to the task. We design embedding objective functions that the following learning formulations become spectral transforms. We then reformulate these spectral transforms into multiple kernel learning problems. Our method, while being tailored to the discriminative tasks, is efficient and can scale to massive data sets. We show the need of discriminative embedding on some simulations. Applying to biological network problems, our method is shown to outperform baselines.

在许多应用程序中,可用信息被编码在图结构中。这是生物网络、社会网络、网络社区和文献引用中常见的问题。研究了在给定节点上的一个图结构的相似图上节点标签的分类问题。传统的机器学习方法通常要求数据驻留在一些欧几里得空间或具有核表示。将这些方法应用于图上的节点需要将图嵌入到这些空间中。通过嵌入然后学习图上的节点,大多数方法要么灵活地适应不同的学习目标,要么对大规模应用足够有效。我们提出了一种将图嵌入特征空间的方法。我们的想法是将标签信息包含到嵌入过程中,使空间表示适合于任务。我们设计了嵌入目标函数,下面的学习公式变成谱变换。然后,我们将这些谱变换重新表述为多个核学习问题。我们的方法是为判别性任务量身定制的,它是高效的,可以扩展到大量的数据集。在一些仿真中,我们证明了判别嵌入的必要性。应用于生物网络问题,我们的方法优于基线。
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引用次数: 15
A dynamic feedforward neural network based on gaussian particle swarm optimization and its application for predictive control. 基于高斯粒子群优化的动态前馈神经网络及其在预测控制中的应用。
Pub Date : 2011-09-01 Epub Date: 2011-07-29 DOI: 10.1109/TNN.2011.2162341
Min Han, Jianchao Fan, Jun Wang

A dynamic feedforward neural network (DFNN) is proposed for predictive control, whose adaptive parameters are adjusted by using Gaussian particle swarm optimization (GPSO) in the training process. Adaptive time-delay operators are added in the DFNN to improve its generalization for poorly known nonlinear dynamic systems with long time delays. Furthermore, GPSO adopts a chaotic map with Gaussian function to balance the exploration and exploitation capabilities of particles, which improves the computational efficiency without compromising the performance of the DFNN. The stability of the particle dynamics is analyzed, based on the robust stability theory, without any restrictive assumption. A stability condition for the GPSO+DFNN model is derived, which ensures a satisfactory global search and quick convergence, without the need for gradients. The particle velocity ranges could change adaptively during the optimization process. The results of a comparative study show that the performance of the proposed algorithm can compete with selected algorithms on benchmark problems. Additional simulation results demonstrate the effectiveness and accuracy of the proposed combination algorithm in identifying and controlling nonlinear systems with long time delays.

提出了一种用于预测控制的动态前馈神经网络(DFNN),该网络在训练过程中采用高斯粒子群算法(GPSO)调整自适应参数。在DFNN中加入自适应时滞算子,提高了DFNN对已知的长时滞非线性动态系统的泛化能力。此外,GPSO采用高斯函数的混沌映射来平衡粒子的探测和利用能力,在不影响DFNN性能的前提下提高了计算效率。基于鲁棒稳定性理论,在没有任何约束假设的情况下,分析了粒子动力学的稳定性。推导了GPSO+DFNN模型的稳定性条件,该条件保证了GPSO+DFNN模型在不需要梯度的情况下具有令人满意的全局搜索和快速收敛性。在优化过程中,粒子速度范围可以自适应变化。对比研究结果表明,该算法在基准问题上的性能可与所选算法相媲美。仿真结果验证了该组合算法在识别和控制长时滞非线性系统方面的有效性和准确性。
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引用次数: 84
Parallel reservoir computing using optical amplifiers. 使用光放大器的并行库计算。
Pub Date : 2011-09-01 Epub Date: 2011-07-29 DOI: 10.1109/TNN.2011.2161771
Kristof Vandoorne, Joni Dambre, David Verstraeten, Benjamin Schrauwen, Peter Bienstman

Reservoir computing (RC), a computational paradigm inspired on neural systems, has become increasingly popular in recent years for solving a variety of complex recognition and classification problems. Thus far, most implementations have been software-based, limiting their speed and power efficiency. Integrated photonics offers the potential for a fast, power efficient and massively parallel hardware implementation. We have previously proposed a network of coupled semiconductor optical amplifiers as an interesting test case for such a hardware implementation. In this paper, we investigate the important design parameters and the consequences of process variations through simulations. We use an isolated word recognition task with babble noise to evaluate the performance of the photonic reservoirs with respect to traditional software reservoir implementations, which are based on leaky hyperbolic tangent functions. Our results show that the use of coherent light in a well-tuned reservoir architecture offers significant performance benefits. The most important design parameters are the delay and the phase shift in the system's physical connections. With optimized values for these parameters, coherent semiconductor optical amplifier (SOA) reservoirs can achieve better results than traditional simulated reservoirs. We also show that process variations hardly degrade the performance, but amplifier noise can be detrimental. This effect must therefore be taken into account when designing SOA-based RC implementations.

储层计算(RC)是一种受神经系统启发的计算范式,近年来在解决各种复杂的识别和分类问题方面越来越受欢迎。到目前为止,大多数实现都是基于软件的,限制了它们的速度和功率效率。集成光子学为快速、节能和大规模并行硬件实现提供了潜力。我们之前提出了一个耦合半导体光放大器网络,作为这种硬件实现的一个有趣的测试用例。在本文中,我们通过仿真研究了重要的设计参数和工艺变化的后果。我们使用一个带有杂音噪声的孤立词识别任务来评估光子库的性能,并将其与传统的基于泄漏双曲正切函数的软件库实现进行比较。我们的研究结果表明,在调谐良好的储层结构中使用相干光可以提供显着的性能优势。最重要的设计参数是系统物理连接中的延迟和相移。通过优化这些参数值,相干半导体光放大器(SOA)储层可以获得比传统模拟储层更好的效果。我们还表明,工艺变化几乎不会降低性能,但放大器噪声可能是有害的。因此,在设计基于soa的RC实现时必须考虑到这种影响。
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引用次数: 171
Source separation and clustering of phase-locked subspaces. 锁相子空间的源分离与聚类。
Pub Date : 2011-09-01 Epub Date: 2011-07-25 DOI: 10.1109/TNN.2011.2161674
Miguel Almeida, Jan-Hendrik Schleimer, José Mario Bioucas-Dias, Ricardo Vigário
It has been proven that there are synchrony (or phase-locking) phenomena present in multiple oscillating systems such as electrical circuits, lasers, chemical reactions, and human neurons. If the measurements of these systems cannot detect the individual oscillators but rather a superposition of them, as in brain electrophysiological signals (electo- and magneoencephalogram), spurious phase locking will be detected. Current source-extraction techniques attempt to undo this superposition by assuming properties on the data, which are not valid when underlying sources are phase-locked. Statistical independence of the sources is one such invalid assumption, as phase-locked sources are dependent. In this paper, we introduce methods for source separation and clustering which make adequate assumptions for data where synchrony is present, and show with simulated data that they perform well even in cases where independent component analysis and other well-known source-separation methods fail. The results in this paper provide a proof of concept that synchrony-based techniques are useful for low-noise applications.
已经证明,在电路、激光、化学反应和人类神经元等多个振荡系统中存在同步(或锁相)现象。如果这些系统的测量不能检测到单个振荡器,而是检测到它们的叠加,就像在脑电生理信号(脑电图和脑磁图)中一样,就会检测到虚假锁相。当前的源提取技术试图通过假设数据上的属性来撤销这种叠加,这些属性在底层源锁相时是无效的。源的统计独立性就是这样一个无效的假设,因为锁相源是相互依赖的。在本文中,我们介绍了源分离和聚类的方法,这些方法对同步存在的数据做出了充分的假设,并通过模拟数据表明,即使在独立成分分析和其他众所周知的源分离方法失败的情况下,它们也表现良好。本文的结果证明了基于同步的技术在低噪声应用中是有用的。
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引用次数: 16
期刊
IEEE transactions on neural networks
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