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Qualitative Analysis of Large Scale Dynamical Systems 大规模动力系统的定性分析
Pub Date : 2012-04-18 DOI: 10.2307/3009732
A. Michel, Richard K. Miller, M. Vidyasagar
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引用次数: 276
LDA merging and splitting with applications to multiagent cooperative learning and system alteration. LDA合并与拆分及其在多智能体合作学习和系统变更中的应用。
Pub Date : 2012-04-01 Epub Date: 2011-10-24 DOI: 10.1109/TSMCB.2011.2169056
Shaoning Pang, Tao Ban, Youki Kadobayashi, Nikola K Kasabov

To adapt linear discriminant analysis (LDA) to real-world applications, there is a pressing need to equip it with an incremental learning ability to integrate knowledge presented by one-pass data streams, a functionality to join multiple LDA models to make the knowledge sharing between independent learning agents more efficient, and a forgetting functionality to avoid reconstruction of the overall discriminant eigenspace caused by some irregular changes. To this end, we introduce two adaptive LDA learning methods: LDA merging and LDA splitting. These provide the benefits of ability of online learning with one-pass data streams, retained class separability identical to the batch learning method, high efficiency for knowledge sharing due to condensed knowledge representation by the eigenspace model, and more preferable time and storage costs than traditional approaches under common application conditions. These properties are validated by experiments on a benchmark face image data set. By a case study on the application of the proposed method to multiagent cooperative learning and system alternation of a face recognition system, we further clarified the adaptability of the proposed methods to complex dynamic learning tasks.

为了使线性判别分析(LDA)适应于实际应用,迫切需要使其具备增量学习能力以整合单次数据流所呈现的知识,具有连接多个LDA模型的功能以使独立学习代理之间的知识共享更有效,以及具有遗忘功能以避免由于一些不规则变化导致的整体判别特征空间的重建。为此,我们引入了两种自适应LDA学习方法:LDA合并和LDA拆分。这些方法具有以下优点:一次通过数据流的在线学习能力,与批处理学习方法相同的类可分离性,由于特征空间模型的浓缩知识表示而提高了知识共享的效率,以及在常见应用条件下比传统方法更节省时间和存储成本。在一个基准人脸图像数据集上进行了实验,验证了这些特性。通过将所提方法应用于人脸识别系统的多智能体合作学习和系统交替,进一步阐明了所提方法对复杂动态学习任务的适应性。
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引用次数: 18
A comparison of information functions and search strategies for sensor planning in target classification. 目标分类中传感器规划的信息功能与搜索策略比较。
Pub Date : 2012-02-01 Epub Date: 2011-10-31 DOI: 10.1109/TSMCB.2011.2165336
Guoxian Zhang, Silvia Ferrari, Chenghui Cai

This paper investigates the comparative performance of several information-driven search strategies and decision rules using a canonical target classification problem. Five sensor models are considered: one obtained from classical estimation theory and four obtained from Bernoulli, Poisson, binomial, and mixture-of-binomial distributions. A systematic approach is presented for deriving information functions that represent the expected utility of future sensor measurements from mutual information, Rènyi divergence, Kullback-Leibler divergence, information potential, quadratic entropy, and the Cauchy-Schwarz distance. The resulting information-driven strategies are compared to direct-search, alert-confirm, task-driven (TS), and log-likelihood-ratio (LLR) search strategies. Extensive numerical simulations show that quadratic entropy typically leads to the most effective search strategy with respect to correct-classification rates. In the presence of prior information, the quadratic-entropy-driven strategy also displays the lowest rate of false alarms. However, when prior information is absent or very noisy, TS and LLR strategies achieve the lowest false-alarm rates for the Bernoulli, mixture-of-binomial, and classical sensor models.

本文利用一个典型目标分类问题,研究了几种信息驱动搜索策略和决策规则的性能比较。考虑了五种传感器模型:一种来自经典估计理论,四种来自伯努利分布、泊松分布、二项分布和混合二项分布。提出了一种系统的方法,用于从互信息、r nyi散度、Kullback-Leibler散度、信息势、二次熵和Cauchy-Schwarz距离中推导信息函数,这些信息函数表示未来传感器测量的预期效用。将得到的信息驱动策略与直接搜索、警报确认、任务驱动(TS)和对数似然比(LLR)搜索策略进行比较。大量的数值模拟表明,二次熵通常会导致关于正确分类率的最有效的搜索策略。在存在先验信息的情况下,二次熵驱动的策略也显示出最低的误报率。然而,当先验信息缺失或噪声很大时,TS和LLR策略对伯努利、混合二项和经典传感器模型的误报率最低。
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引用次数: 33
A new particle swarm algorithm and its globally convergent modifications. 一种新的粒子群算法及其全局收敛修正。
Pub Date : 2011-10-01 Epub Date: 2011-05-23 DOI: 10.1109/TSMCB.2011.2144582
Hao Gao, Wenbo Xu

Particle swarm optimization (PSO) is a population-based optimization technique that can be applied to a wide range of problems. Here, we first investigate the behavior of particles in the PSO using a Monte Carlo method. The results reveal the essence of the trajectory of particles during iterations and the reasons why the PSO lacks a global search ability in the last stage of iterations. Then, we report a novel PSO with a moderate-random-search strategy (MRPSO), which enhances the ability of particles to explore the solution spaces more effectively and increases their convergence rates. Furthermore, a new mutation strategy is used, which makes it easier for particles in hybrid MRPSO (HMRPSO) to find the global optimum and which also seeks a balance between the exploration of new regions and the exploitation of the already sampled regions in the solution spaces. Thirteen benchmark functions are employed to test the performance of the HMRPSO. The results show that the new PSO algorithm performs much better than other PSO algorithms for each multimodal and unimodal function. Furthermore, compared with recent evolutionary algorithms, experimental results empirically demonstrate that the proposed framework yields promising search performance.

粒子群优化(PSO)是一种基于种群的优化技术,可以应用于广泛的问题。在这里,我们首先使用蒙特卡罗方法研究粒子在粒子群中的行为。研究结果揭示了粒子在迭代过程中运动轨迹的本质,以及粒子群算法在迭代最后阶段缺乏全局搜索能力的原因。在此基础上,提出了一种基于中等随机搜索策略(MRPSO)的粒子群算法,该算法提高了粒子群对解空间的探索能力,提高了粒子群的收敛速度。此外,采用了一种新的突变策略,使混合MRPSO (HMRPSO)中的粒子更容易找到全局最优解,并在探索新区域和利用解空间中已经采样的区域之间寻求平衡。采用13个基准函数来测试HMRPSO的性能。结果表明,该算法在多模态和单模态函数上的性能都优于现有的粒子群算法。实验结果表明,与现有的进化算法相比,本文提出的框架具有较好的搜索性能。
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引用次数: 91
Recurring two-stage evolutionary programming: a novel approach for numeric optimization. 循环两阶段进化规划:数值优化的新方法。
Pub Date : 2011-10-01 Epub Date: 2011-05-23 DOI: 10.1109/TSMCB.2011.2144968
Mohammad Shafiul Alam, Md Monirul Islam, Xin Yao, Kazuyuki Murase
In the application of evolutionary algorithms (EAs) to complex problem solving, it is essential to maintain proper balance between global exploration and local exploitation to achieve a good near-optimum solution to the problem. This paper presents a recurring two-stage evolutionary programming (RTEP) to balance the explorative and exploitative features of the conventional EAs. Unlike most previous works, RTEP is based on repeated and alternated execution of two different stages, namely, the exploration and exploitation stages, each with its own mutation operator, selection strategy, and explorative/exploitative objective. Both analytical and empirical studies have been carried out to understand the necessity of repeated and alternated exploration and exploitation operations in EAs. A suite of 48 benchmark numerical optimization problems has been used in the empirical studies. The experimental results show the remarkable effectiveness of the repeated exploration and exploitation operations employed by RTEP.
在将进化算法应用于复杂问题求解时,必须在全局探索和局部开发之间保持适当的平衡,以获得问题的良好的近最优解。本文提出了一种循环两阶段进化规划(RTEP)来平衡传统ea的探索性和利用性。与之前的大多数作品不同,RTEP是基于重复和交替执行两个不同的阶段,即探索和利用阶段,每个阶段都有自己的突变算子、选择策略和探索/利用目标。已经进行了分析和实证研究,以了解在东亚地区进行重复和交替勘探和开采作业的必要性。在实证研究中使用了一套48个基准数值优化问题。实验结果表明,RTEP采用的重复勘探开发作业效果显著。
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引用次数: 20
Homogenous polynomially parameter-dependent H∞ filter designs of discrete-time fuzzy systems. 离散模糊系统的齐次多项式参数相关H∞滤波器设计。
Pub Date : 2011-10-01 Epub Date: 2011-05-19 DOI: 10.1109/TSMCB.2011.2139203
Huaguang Zhang, Xiangpeng Xie, Shaocheng Tong

This paper proposes a novel H(∞) filtering technique for a class of discrete-time fuzzy systems. First, a novel kind of fuzzy H(∞) filter, which is homogenous polynomially parameter dependent on membership functions with an arbitrary degree, is developed to guarantee the asymptotic stability and a prescribed H(∞) performance of the filtering error system. Second, relaxed conditions for H(∞) performance analysis are proposed by using a new fuzzy Lyapunov function and the Finsler lemma with homogenous polynomial matrix Lagrange multipliers. Then, based on a new kind of slack variable technique, relaxed linear matrix inequality-based H(∞) filtering conditions are proposed. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed approach.

针对一类离散模糊系统,提出了一种新的H(∞)滤波技术。首先,为了保证滤波误差系统的渐近稳定性和规定的H(∞)性能,提出了一种新的模糊H(∞)滤波器,该滤波器是齐次多项式参数依赖于任意程度的隶属函数。其次,利用新的模糊Lyapunov函数和具有齐次多项式矩阵拉格朗日乘子的Finsler引理,提出了H(∞)性能分析的宽松条件。然后,基于一种新的松弛变量技术,提出了基于松弛线性矩阵不等式的H(∞)滤波条件。最后,给出了两个数值算例来说明所提方法的有效性。
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引用次数: 47
Analysis of the noise reduction property of type-2 fuzzy logic systems using a novel type-2 membership function. 用一种新的2型隶属函数分析2型模糊逻辑系统的降噪特性。
Pub Date : 2011-10-01 Epub Date: 2011-05-23 DOI: 10.1109/TSMCB.2011.2148173
Mojtaba Ahmadieh Khanesar, Erdal Kayacan, Mohammad Teshnehlab, Okyay Kaynak

In this paper, the noise reduction property of type-2 fuzzy logic (FL) systems (FLSs) (T2FLSs) that use a novel type-2 fuzzy membership function is studied. The proposed type-2 membership function has certain values on both ends of the support and the kernel and some uncertain values for the other values of the support. The parameter tuning rules of a T2FLS that uses such a membership function are derived using the gradient descend learning algorithm. There exist a number of papers in the literature that claim that the performance of T2FLSs is better than type-1 FLSs under noisy conditions, and the claim is tried to be justified by simulation studies only for some specific systems. In this paper, a simpler T2FLS is considered with the novel membership function proposed in which the effect of input noise in the rule base is shown numerically in a general way. The proposed type-2 fuzzy neuro structure is tested on different input-output data sets, and it is shown that the T2FLS with the proposed novel membership function has better noise reduction property when compared to the type-1 counterparts.

本文研究了采用一种新的2型模糊隶属函数的2型模糊逻辑系统的降噪特性。所提出的2型隶属度函数在支持和内核两端具有一定的值,而支持的其他值具有一些不确定的值。利用梯度下降学习算法推导了使用这种隶属函数的T2FLS的参数整定规则。文献中有许多论文声称t2fls在噪声条件下的性能优于type-1 fls,并试图通过仅对某些特定系统的仿真研究来证明这一说法。本文考虑了一种更简单的T2FLS,提出了一种新的隶属函数,该隶属函数以一般的方式用数值方式显示了规则库中输入噪声的影响。在不同的输入输出数据集上对所提出的2型模糊神经结构进行了测试,结果表明,与1型模糊神经结构相比,具有新隶属函数的T2FLS具有更好的降噪性能。
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引用次数: 96
Verbal and adjectival participles: Position and internal structure 动分词和形容词分词:位置和内部结构
Pub Date : 2011-08-01 DOI: 10.1016/J.LINGUA.2011.05.001
P. Sleeman
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引用次数: 40
Integration of fuzzy spatial information in tracking based on particle filtering. 基于粒子滤波的模糊空间信息跟踪集成。
Pub Date : 2011-06-01 DOI: 10.1109/TSMCB.2010.2064767
Nicolas Widynski, Séverine Dubuisson, Isabelle Bloch

In this paper, we propose a novel method to introduce spatial information in particle filters. This information may be expressed as spatial relations (orientation, distance, etc.), velocity, scaling, or shape information. Spatial information is modeled in a generic fuzzy-set framework. The fuzzy models are then introduced in the particle filter and automatically define transition and prior spatial distributions. We also propose an efficient importance distribution to produce relevant particles, which is dedicated to the proposed fuzzy framework. The fuzzy modeling provides flexibility both in the semantics of information and in the transitions from one instant to another one. This allows one to take into account situations where a tracked object changes its direction in a quite abrupt way and where poor prior information on dynamics is available, as demonstrated on synthetic data. As an illustration, two tests on real video sequences are performed in this paper. The first one concerns a classical tracking problem and shows that our approach efficiently tracks objects with complex and unknown dynamics, outperforming classical filtering techniques while using only a small number of particles. In the second experiment, we show the flexibility of our approach for modeling: Fuzzy shapes are modeled in a generic way and allow the tracking of objects with changing shape.

本文提出了一种在粒子滤波器中引入空间信息的新方法。这些信息可以表示为空间关系(方向、距离等)、速度、缩放或形状信息。空间信息在通用模糊集框架中建模。然后在粒子滤波中引入模糊模型,自动定义过渡和先验空间分布。我们还提出了一个有效的重要性分布来产生相关的粒子,这是专门用于所提出的模糊框架的。模糊建模在信息语义和从一个瞬间到另一个瞬间的转换方面都提供了灵活性。这允许人们考虑到跟踪对象以一种非常突然的方式改变其方向的情况,以及可用的动力学先前信息较差的情况,如合成数据所示。为了说明这一点,本文对两个真实的视频序列进行了测试。第一个问题涉及一个经典跟踪问题,并表明我们的方法有效地跟踪具有复杂和未知动态的对象,仅使用少量粒子就优于经典滤波技术。在第二个实验中,我们展示了建模方法的灵活性:模糊形状以通用方式建模,并允许跟踪形状变化的对象。
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引用次数: 29
Combined mining: discovering informative knowledge in complex data. 组合挖掘:从复杂数据中发现信息知识。
Pub Date : 2011-06-01 DOI: 10.1109/TSMCB.2010.2086060
Longbing Cao, Huaifeng Zhang, Yanchang Zhao, Dan Luo, Chengqi Zhang

Enterprise data mining applications often involve complex data such as multiple large heterogeneous data sources, user preferences, and business impact. In such situations, a single method or one-step mining is often limited in discovering informative knowledge. It would also be very time and space consuming, if not impossible, to join relevant large data sources for mining patterns consisting of multiple aspects of information. It is crucial to develop effective approaches for mining patterns combining necessary information from multiple relevant business lines, catering for real business settings and decision-making actions rather than just providing a single line of patterns. The recent years have seen increasing efforts on mining more informative patterns, e.g., integrating frequent pattern mining with classifications to generate frequent pattern-based classifiers. Rather than presenting a specific algorithm, this paper builds on our existing works and proposes combined mining as a general approach to mining for informative patterns combining components from either multiple data sets or multiple features or by multiple methods on demand. We summarize general frameworks, paradigms, and basic processes for multifeature combined mining, multisource combined mining, and multimethod combined mining. Novel types of combined patterns, such as incremental cluster patterns, can result from such frameworks, which cannot be directly produced by the existing methods. A set of real-world case studies has been conducted to test the frameworks, with some of them briefed in this paper. They identify combined patterns for informing government debt prevention and improving government service objectives, which show the flexibility and instantiation capability of combined mining in discovering informative knowledge in complex data.

企业数据挖掘应用程序通常涉及复杂的数据,例如多个大型异构数据源、用户首选项和业务影响。在这种情况下,单一方法或一步挖掘往往在发现信息性知识方面受到限制。连接相关的大型数据源来挖掘由多个信息方面组成的模式,如果不是不可能的话,也会非常耗费时间和空间。开发有效的方法来挖掘结合来自多个相关业务线的必要信息的模式,满足实际业务设置和决策操作的需要,而不仅仅是提供单行模式,这一点至关重要。近年来,人们在挖掘更多信息模式方面做了越来越多的努力,例如,将频繁的模式挖掘与分类相结合,以生成频繁的基于模式的分类器。本文不是提出一个特定的算法,而是基于我们现有的工作,并提出组合挖掘作为一种通用方法,用于从多个数据集或多个特征中组合组件,或按需使用多种方法来挖掘信息模式。总结了多特征组合挖掘、多源组合挖掘和多方法组合挖掘的一般框架、范式和基本过程。新的组合模式类型,如增量集群模式,可以从这些框架中产生,而这些框架不能由现有方法直接产生。已经进行了一组实际案例研究来测试这些框架,本文简要介绍了其中的一些。他们确定了为政府债务预防提供信息和改善政府服务目标的组合模式,显示了组合挖掘在复杂数据中发现信息知识的灵活性和实例化能力。
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引用次数: 91
期刊
IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics
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