密度峰值聚类的自适应社区发现算法

为减少社区发现算法中参数的选择对社区划分的影响,同时使算法能够自适应地进行社区划分,本文提出一种基于核密度估计的密度峰值聚类的社区发现算法KDED.首先,定义一种基于信任度的距离度量,将社交网络中的用户关系量化为距离矩阵,使用矩阵元素的大小度量用户关系的紧密程度;然后对距离矩阵进行核密度估计,统计各个节点在网络中的影响大小,结合热扩散模型改进计算流程,使其自适应不同规模的数据集以提高计算精度;结合密度峰值聚类原理和社区属性确定社区中心节点后,可根据节点间的距离得到社区内部层次结构和社区外部的自然结构;最后将剩余节点按距离分配到相应的社区当中以完成社区划分.仿真结果表明:通过可视化软件可观察到,通过KDED算法得到的社区划分结果具有清晰的自然结构和内部层次结构;随着社区规模的提升以及划分难度增加,KDED算法具有出色的稳定性;在真实数据集以及LFR基准网络上均得到较为接近真实划分结果的社区划分,自适应性良好,验证算法的可行性与有效性.     

基于GPS平台的高效k-bisimulation计算算法

计算图的互模划分在许多应用领域中起着至关重要的作用.图中两个点是互模的当且仅当这两点具有相同的特征.随着图数据规模的增大,传统的运行在单机上的互模划分算法面临着越来越大的挑战,分布式算法以及并行算法则成为提高图计算可扩展性的重要途径.最近研究人员提出两种基于MapReduce计算模型的分布式互模划分算法,算法均计算图的局部互模划分.采用MapReduce计算模型的分布式互模划分算法具有网络通讯代价高昂的问题,每次MapReduce迭代操作均会将整个图中所有点边的状态通过网络传输,重新为点边分配计算节点,但实际上计算点的局部互模划分特征仅需要局部信息.以此为研究出发点,本文提出了基于分布式图数据处理平台的互模划分算法,仅使用点的局部信息来计算其特征,进而提升计算效率.经过实验验证,本文算法可以大幅度减少算法执行过程中的网络数据传输量.在包含数亿边大图上的实验表明,在未经图的预处理的情况下,本文算法的时间效率提升了7~16倍,有效的解决了MapReduce计算模型带来的网络通讯代价高昂的问题.     

Output consensus for multiple non-holonomic systems under directed communication topology

In this paper, the problem of output consensus for multiple non-holonomic systems in chained form has been investigated. First, an output consensus controller under the strongly connected communication topology is devised by two steps, where a time-varying control strategy and the backstepping design technique are employed. Then, the results are extended to the general directed topology case via graph decomposition, in which the input-to-state stability theory plays a critical role. We prove that the proposed controller can achieve the semi-global output consensus among multiple non-holonomic systems, provided that the interaction graph contains a spanning tree. Finally, numerical examples are provided to illustrate the effectiveness of the designed controller.     

Efficient algorithm for calculating short cycles in Tanner graph based on matrix computation

Loop distribution of Tanner graph affects the BER performance of low-density parity-check codes(LDPC) decoding.To count short cycles in the Tanner graph efficiently,a side by side recursion algorithm based on matrix computation was proposed.Firstly,5 basic graph structures were defined to realize recursive calculate in the implementation process.Compared with previous works,the algorithm provided many methods for counting the same length of cycles.The same result confirmed the correctness of the algorithm.The new algorithm could not only calculate the total number of cycles,but also gave the number each edge participating in fixed-length cycles.Its complexity was proportional to the product of D and square of N,where D was the average degree of variable nodes,and N denoted the code length.For LDPC codes,D was far less than N.For most of the LDPC codes,the calculation for numbers of cycle-length g、g+2、g+4 was only several seconds.     

Simultaneous determination of neonicotinoid insecticides in sunflower-treated seeds (hull and kernel) by LC-MS/MS

A validated analytical method to determine seven neonicotinoids (dinotefuran, nitenpyram, thiamethoxam, clothianidin, imidacloprid, acetamiprid and thiacloprid) in sunflower seeds (hull and kernel) using HPLC coupled to electrospray ionisation mass spectrometry (ESI-MS) is presented. Sample clean-up based on a solid–liquid extraction, and the removal of lipid fraction, in the case of kernels, is proposed and optimised. Low limits of detection and quantification were obtained, ranging from 0.3 × 10^–3 to 1.2 × 10^–3 µg g^–1 and from 1.0 × 10^–3 to 4.0 × 10^–3 µg g^–1, with good precision, and recovery values ranged from 90% to 104% for hulls and kernels. The method was applied for the analysis of five thiamethoxam-dressed sunflower seeds and four non-treated seeds, where, besides thiamethoxam, residues of the other neonicotinoid, clothianidin, were also detected and confirmed via tandem mass spectrometry (LC-ESI-MS/MS). Finally, the presence of residues of thiamethoxam and clothianidin in collected sunflower seeds (hulls) coming from coated seeds confirmed the translocation of these neonicotinoids through the plant up to these seeds.     

Experiments on drawing 2-level hierarchical graphs

This paper studies different heuristics for drawing 2-level hierarchical graphs. Especially, we compare the barycenter and the median heuristics. We show that the barycenter heuristic clearly outperforms the median heuristic, although only the latter has a proved bound for the maximum error done when two vertices are ordered. Moreover, we improve a known heuristic, called the greedy switching, by introducing the barycenter heuristic as a preprocessing phase for it.     

Approximate solution for a variable-coefficient semilinear heat equation with nonlocal boundary conditions

This paper develops an iterative algorithm for the solution to a variable-coefficient semilinear heat equation with nonlocal boundary conditions in the reproducing space. It is proved that the approximate sequence u _n (x, t) converges to the exact solution u(x, t). Moreover, the partial derivatives of u _n (x, t) are also convergent to the partial derivatives of u(x, t). And the approximate sequence u _n (x, t) is the best approximation under a complete normal orthogonal system.     

Copy-Paste Detection Based on a SIFT Marked Graph Feature Vector

To detect copy-paste tampering, an im-proved SIFT (Scale invariant feature transform)-based al-gorithm was proposed. Maximum angle is defined and a maximum angle-based marked graph is constructed. The m arked graph feature vector is provided to each SIFT key point via discrete polar coordinate transformation. Key points are matched to detect the copy-paste tamper-ing regions. The experimental results show that the pro-posed algorithm can effectively identify and detect the ro-tated or scaled copy-paste regions, and in comparison with the methods reported previously, it is resistant to post-processing, such as blurring, Gaussian white noise and JPEG recompression. The proposed algorithm performs better than the existing algorithm to dealing with scaling transformation.     

Towards a sales assistant using a product knowledge graph

The phenomenal growth in the consumer electronics industry over the last decade is mainly due to rapid advances in integration technologies. The market is ever evolving with new products made available on a frequent basis. However, typically, the average consumer tends to have insufficient knowledge of the features and functions of an electronic device. Although most manufacturers provide product specifications, they are often difficult for consumers to understand and it is hard for customers to grasp the details of a product. This study introduces the concept of a product knowledge graph, which is constructed by transforming a set of data from a product management system and external data. This study overcomes the technical barriers for customers with the use of knowledge graph technologies. To construct large-scale product knowledge, an ontology model is designed and a platform for knowledge extraction and transformation is also developed. Then, a sales assistant called God of Sales is demonstrated. This study provides a novel approach to explaining product features and functions in a comprehensive manner with semantic recommendations.     

Length two path-centred surface areas for the arrangement graph

We suggest the notion of H-centred surface area of a graph G, where H is a subgraph of G, i.e. the number of vertices in G at a certain distance from H, and focus on the special case when H is a length two path to derive an explicit formula for the length two path-centred surface areas of the general and scalable arrangement graph.