基于并查集的低复杂度模糊聚类信号分选算法

随着雷达技术与电子技术的不断发展,电子对抗环境日趋复杂.为能够在复杂电子对抗环境中进行实时有效的信号分选,提出了一种基于并查集的低复杂度模糊聚类信号分选算法.通过计算两脉冲间相似度,以相似度高于阈值作为集合归并条件,依次完成集合归并后查询并查集完成聚类结果输出.通过结合并查集与模糊聚类分选算法,大大降低了模糊聚类分选算法的复杂度,本文所提算法时间复杂度为O(n2),空间复杂度为O(n).由于该算法具有低复杂度的特点,可应用于工程项目.     

基于KD树的k-means聚类算法优化

作为模式识别最基本的分类方法之一,聚类在各个科学领域的数据分析中都扮演着重要的角色.然而随着大数据的出现,聚类分析在前沿发展中不断地面临着计算复杂度和计算成本等新的问题和挑战.通过研究k-means聚类算法的时间复杂度O(nk),针对迭代过程中大量的最近邻计算和其特殊场景,引入KD树作为索引,提出了基于单KD树的近似近邻算法和基于多KD树的交叉搜索算法.将k-means聚类算法的时间复杂度降为O(nlog k),并通过实验验证,基于多树的交叉搜索算法具有与k-means聚类算法相当的聚类质量.     

基于KD树的k-means聚类算法优化

作为模式识别最基本的分类方法之一,聚类在各个科学领域的数据分析中都扮演着重要的角色.然而随着大数据的出现,聚类分析在前沿发展中不断地面临着计算复杂度和计算成本等新的问题和挑战.通过研究k-means聚类算法的时间复杂度O(nk),针对迭代过程中大量的最近邻计算和其特殊场景,引入KD树作为索引,提出了基于单KD树的近似近邻算法和基于多KD树的交叉搜索算法.将k-means聚类算法的时间复杂度降为O(nlog k),并通过实验验证,基于多树的交叉搜索算法具有与k-means聚类算法相当的聚类质量.     

基于信令数据的轨迹驻留点识别算法研究

针对密度聚类算法只能识别密度相近的簇类且计算复杂度高等问题,该文提出一种基于信令数据中时空轨迹信息的密度峰值快速聚类(ST-CFSFDP)算法。首先对低采样密度的信令数据进行预处理,消除轨迹震荡现象;然后基于密度峰值快速聚类(CFSFDP)算法显式地增加时间维度限制,将局部密度由2维扩展到3维,并提出高密度时间间隔以表征簇中心在时间维度上的数据特征;接着设计筛选策略以选取聚类中心;最后识别用户出行轨迹中的驻留点,完成出行链的划分。实验结果表明,所提算法适用于采样密度低且定位精度差的信令数据,相比CFSFDP算法更适用于时空数据,相比基于密度的时空聚类算法(ST-DBSCAN)召回率提升14%,准确率提升8%,同时降低计算复杂度。     

一种基于Hadoop的改进减法聚类算法

传统的减法聚类算法时间复杂度高,算法不具有分布式特性,不满足大数据处理的要求.提出一种基于Hadoop的改进减法聚类算法,利用MapReduce模型改进减法聚类执行过程,实现求解邻域半径、初始化密度指标、更新密度指标和划分数据记录等过程的并行化.实验结果表明,同传统的串行算法相比,提出的算法能够对大数据进行快速聚类,同时表现出良好的稳定性与扩展性.     

基于最小生成树的并行分层聚类算法

分层聚类技术在图像处理、入侵检测和生物信息学等方面有着极为重要的应用,是数据挖掘领域的研究热点之一.针对目前基于SIMD模型的并行分层聚类算法存在的无法解决存储冲突问题,提出一种基于最小生成树无存取冲突的并行分层聚类算法.算法使用O(p)个并行处理单元,在O(n2/p)的时间内对n个输入数据点进行聚类,与现有文献结论进行的性能对比分析表明,本算法明显改进了现有文献的研究结果,是一种无存储冲突的并行分层聚类算法.     

一种分层组合的半监督近邻传播聚类算法

 针对近邻传播(AP)聚类算法的计算复杂度和准确性,该文提出一种分层组合的半监督近邻传播聚类算法(SAP-SC)。算法引入“分层聚类”的思想,将一次AP聚类过程等分成若干层聚类,使得处理过程简单、易于实现;每层只关注聚类“困难”的数据点,并通过构造“成对点约束”和使用“子簇标签映射”进行半监督学习;基于“组合提升”的方法将各层聚类结果加权叠加,从而提升了算法的准确性能。理论分析和实验结果表明：算法在聚类准确性和计算复杂度方面有了较大改进。     

基于聚类算法的电网告警数据分析与处理模型

提出了一种基于时间戳和关键字的聚类算法来解决告警数据种类繁多且难以提取关键信息的问题。首先，对告警数据中的最新发生时间进行K-Means聚类；其次，基于告警数据开始时间进行K-Means二次聚类；再次，使用具有噪声的基于密度的聚类算法（Density-Based Spatial Clustering of Application with Noise,DBSCAN）对每列关键字进行聚类；最后，对结果进行了整合，并给出了关联性描述结果。实验结果表明，通过上述聚类算法构建的告警数据分析与处理模型的平均压缩率为79.28%，平均准确率达到93.41%，能够有效提高对现有告警数据的具象化描述能力，降低告警数据理解的复杂度。     

无线传感器网络的TB-Greedy算法

在无线传感器网络中,greedy spanner因其优良的特性而受到广泛的研究.目前,经典greedy spanner的时间复杂度为O(n3).在加倍维度测度空间中,文章提出了一种改进算法TB-Greedy,该算法的时间复杂度为m(n/(t-1)O(d)+ O(nlogn))+n2·logn(t-1)O(d)接近于greedy spanner时间复杂度平均下界Ω(n2),因此,文章中提出的算法具有一定的研究意义.     

基于距离相似性K-means的红外图像聚类算法研究

提出了一种基于距离相似性K-means的红外图像聚类算法。该算法对通过Isomap算法降维后的空间点,进一步进行聚类;算法中引入了密度因素,通过距离相似性的差异进一步排除孤立点和选取初始聚类中心,使数据内部的紧凑性得到加强。经过实验证明,改进后的方法比原方法更有效,时间复杂度也大幅度降低。     

Efficient Broadcasting in Mobile Ad Hoc Networks

This paper presents two efficient flooding algorithms based on 1-hop neighbor information. In the first part of the paper, we consider sender-based flooding algorithms, specifically the algorithm proposed by Liu et al. In their paper, Liu et al. propose a sender-based flooding algorithm that can achieve local optimality by selecting the minimum number of forwarding nodes in the lowest computational time complexity O(n logn), where n is the number of neighbors. We show that this optimality only holds for a subclass of sender-based algorithms. We propose an efficient sender-based flooding algorithm based on 1-hop neighbor information that reduces the time complexity of computing forwarding nodes to O(n). In Liu's algorithm, n nodes are selected to forward the message in the worst case, whereas in our proposed algorithm, the number of forwarding nodes in the worst case is 11. In the second part of the paper we propose a simple and highly efficient receiver-based flooding algorithm. When nodes are uniformly distributed, we prove that the probability of two neighbor nodes broadcasting the same messageneighbor nodes broadcasting the same message exponentially decreases when the distance between them decreases or when the node density increases. The analytical results are confirmed using simulation.     

基于光并行计算的知识库系统及硬件支持系统

本文在分析知识库系统和光计算特点的基础上,提出了基于计算的知识库系统（KBSBOC）模型及其硬件支持系统,KBSBOC采用二进制矩阵表示知识,并用矩阵计算实现并行推理和学习,这种知识库操作全并行化,适合于光计算,KBSBOC硬件支持系统是光电混合系统,主要由主控机,知识存储体及光并行逻辑运算器构成,性能分析和实验结果表明KBSBOC及其硬件支持系统是有效的,合理的,它使解决迷宫问题的时间复杂性压缩到O(n).     

Frame-groups based fractal video compression and its parallel implementation in Hadoop cloud computing environment

Fractal video compression is based on the self-similarity search between range cubes and domain cubes, so it can achieve a high compression ratio. However, its computational complexity is relatively high that restricts its studies and applications. Further studies show that the compression process exhibits a high natural parallelism as there exist data independence when computing the compression codes. In this paper, we utilize parallel processing techniques to implement the fractal video compression algorithm to reduce the run time. There are two main works in this article: firstly, a parallel fractal video compression algorithm based on frame-groups is proposed. Secondly, we implemented the parallel algorithm in Hadoop cloud computing environment. The experiment results show the parallel algorithm has a high speedup and the distributed parallel computing systems can utilize network resources sufficiently to implement high-performance computing, and provide a good practicability and a promising future in application.     

基于Tile自组装模型的最大匹配问题算法研究

Tile自组装模型作为一种重要的DNA计算模型,在解决NP问题时展现出了巨大优势.文中针对现有最大匹配问题DNA计算算法实验操作复杂,错误率高的缺点,提出了一种基于Tile自组装模型的最大匹配问题新算法.算法所需的Tile分子种类为O(mn),所需生物操作数为O(1),计算时间为O(m),计算空间复杂度为O(mn)(其中m为边数,n为顶点数,且O(m)=O(n²)).与现有的最大匹配问题DNA计算算法相比,本算法不仅可靠性更好,而且更具可操作性.     

Energy-Optimal Distributed Algorithms for Minimum Spanning Trees

Traditionally, the performance of distributed algorithms has been measured in terms of time and message complexity.Message complexity concerns the number of messages transmitted over all the edges during the course of the algorithm. However, in energy-constrained ad hoc wireless networks (e.g., sensor networks), energy is a critical factor in measuring the efficiency of a distributed algorithm. Transmitting a message between two nodes has an associated cost (energy) and moreover this cost can depend on the two nodes (e.g., the distance between them among other things). Thus in addition to the time and message complexity, it is important to consider energy complexity that accounts for the total energy associated with the messages exchanged among the nodes in a distributed algorithm. This paper addresses the minimum spanning tree (MST) problem, a fundamental problem in distributed computing and communication networks. We study energy-efficient distributed algorithms for the Euclidean MST problem assuming random distribution of nodes. We show a non-trivial lower bound of ω(log n) on the energy complexity of any distributed MST algorithm. We then give an energy-optimal distributed algorithm that constructs an optimal MST with energy complexity O(log n) on average and O(log n log log n) with high probability. This is an improvement over the previous best known bound on the average energy complexity of ?(log2 n). Our energy-optimal algorithm exploits a novel property of the giant component of sparse random geometric graphs. All of the above results assume that nodes do not know their geometric coordinates. If the nodes know their own coordinates, then we give an algorithm with O(1) energy complexity (which is the best possible) that gives an O(1) approximation to the MST.     

Improved lightpath (wavelength) routing in large WDM networks

We address the problem of efficient circuit switching in wide area networks. The solution provided is based on finding optimal routes for lightpaths and semilightpaths. A lightpath is a fully optical transmission path, while a semilightpath is a transmission path constructed by chaining several lightpaths together, using wavelength conversion at their junctions. The problem thus is to find an optimal lightpath/semilightpath in the network in terms of the cost of wavelength conversion and the cost of using the wavelengths on links. In this paper, we first present an efficient algorithm for the problem which runs in time O(k²n+km+kn log(kn)), where n and m are the number of nodes and links in the network, and k is the number of wavelengths. We then analyze that the proposed algorithm requires O(d ²nk₀²+mk₀ log n) time for a restricted version of the problem in which the number of available wavelengths for each link is bounded by k₀ and k₀=o(n), where d is the maximum in-degree or out-degree of the network. It is surprising to have found that the time complexity for this case is independent of k. It must be mentioned that our algorithm can be implemented efficiently in the distributed computing environment. The distributed version requires O(kn) time and O(km) messages. Compared with a previous O(k²n+kn²) time algorithm, our algorithm has the following advantages. (1) We take into account the physical topology of the network which makes our algorithm outperform the previous algorithm. In particular, when k is small [e.g., k=O(log n)] and m=O(n), our algorithm runs in time O(n log² n), while the previous algorithm runs in time O(n log n). (2) Since our algorithm has high locality, it can be implemented on the network distributively     

基于优化粒计算下微粒子动态搜索的K-medoids聚类算法

K?medoids算法具有对初始聚类中心敏感,聚类准确度不高及时间复杂度大的缺点。基于此,文中提出一种优化的K?medoids算法;该算法在已有的粒计算初始化基础上进行了改进,以对象之间的相似性作为判断依据,结合最大最小法初始化聚类中心,能有效地获取最佳或近似最佳的聚类中心;在优化的粒计算前提下,提出了基于微粒子动态搜索策略,以初始中心点作为基点,粒子内所有对象到其中心的平均距离为半径,形成一个微粒子;在微粒子内部,采用离中心点先近后远的原则进行搜索,能有效地缩小搜索范围,提高聚类准确率。实验结果表明：在UCI多个标准数据集中测试,且与其他改进的K?medoids算法比较分析,该算法在有效缩短收敛时间的同时保证了算法聚类准确率。     

Building the component tree in quasi-linear time.

The level sets of a map are the sets of points with level above a given threshold. The connected components of the level sets, thanks to the inclusion relation, can be organized in a tree structure, that is called the component tree. This tree, under several variations, has been used in numerous applications. Various algorithms have been proposed in the literature for computing the component tree. The fastest ones (considering the worst-case complexity) have been proven to run in O(n ln(n)). In this paper, we propose a simple to implement quasi-linear algorithm for computing the component tree on symmetric graphs, based on Tarjan's union-find procedure. We also propose an algorithm that computes the n most significant lobes of a map.