Structural Entropy of the Stochastic Block Models

With the rapid expansion of graphs and networks and the growing magnitude of data from all areas of science, effective treatment and compression schemes of context-dependent data is extremely desirable. A particularly interesting direction is to compress the data while keeping the “structural information” only and ignoring the concrete labelings. Under this direction, Choi and Szpankowski introduced the structures (unlabeled graphs) which allowed them to compute the structural entropy of the Erdős–Rényi random graph model. Moreover, they also provided an asymptotically optimal compression algorithm that (asymptotically) achieves this entropy limit and runs in expectation in linear time. In this paper, we consider the stochastic block models with an arbitrary number of parts. Indeed, we define a partitioned structural entropy for stochastic block models, which generalizes the structural entropy for unlabeled graphs and encodes the partition information as well. We then compute the partitioned structural entropy of the stochastic block models, and provide a compression scheme that asymptotically achieves this entropy limit.     

A New Strategy in Boosting Information Spread

Finding a seed set to propagate more information within a specific budget is defined as the influence maximization (IM) problem. The traditional IM model contains two cardinal aspects: (i) the influence propagation model and (ii) effective/efficient seed-seeking algorithms. However, most of models only consider one kind of node (i.e., influential nodes), ignoring the role of other nodes (e.g., boosting nodes) in the spreading process, which are irrational. Specifically, in the real-world propagation scenario, the boosting nodes always improve the spread of influence from the initial activated seeds, which is an efficient and cost-economic measure. In this paper, we consider the realistic budgeted influence maximization (RBIM) problem, which contains two kind of nodes to improve the diffusion of influence. Facing the newly modified objective function, we propose a novel B-degree discount algorithm to solve it. The novel B-degree discount algorithm which adopts the cost-economic boosting nodes to retweet the influence from the predecessor nodes can greatly reduce the cost, and performs better than other state-of-the-art algorithms in both effect and efficiency on RBIM problem solving.     

以萘酰亚胺衍生物基荧光高分子为载体和指示剂的 相分离免疫分析方法

以4-甲氧基-N-(2-N’,N’-二甲基氨基乙基-N’-烯丙基)萘二甲酰亚胺氯化铵(DMNAA)为荧光单体, 合成了一种pH敏感荧光高分子聚N-异丙基丙烯酰胺-4-甲氧基-N-(2-N’,N’-二甲基氨基乙基-N’-烯丙基)萘二甲酰亚胺氯化铵-N,N-二甲基氨丙基甲基丙烯酰胺[P(NIP-DMAPM-DMNAA)]. 采用共聚法将日本血吸虫抗原(SjAg)固定在P(NIP-DMAPM-DMNAA)上, 制备P(NIP-DMAPM-DMNAA)-SjAg连接物, 与日本血吸虫抗体(待测, SjAb)发生免疫反应后, 调节pH值, 使荧光高分子相变分离高分子-免疫组分连接物, 最后, 利用蛋白A对抗体的亲和性捕获P(NIP-DMAPM-DMNAA)-SjAg-SjAb, 通过测定高分子自身的荧光信号来定量 SjAb. 该新型高分子具有良好的荧光特性, 对pH响应快速, 37 ℃下相转变pH值为7.2, 分离免疫复合物时造成的损害低. 与传统相分离免疫分析比较, 新方法通过高分子相变分离和蛋白A捕获双重分离作用, 消除了非特异性组分和未反应的特异性免疫成分等的干扰; 利用高分子自身的荧光信号检测, 无须另外的标记物, 大大提高了免疫分析的简便性. 以日本血吸虫抗体为分析对象, 测得线性范围为1～1500 ng/mL, 抗体检出限为1.3 ng/mL, 相对标准偏差为3.6% (n＝10), 结果令人满意.     

常用玻璃量器检定注意事项

总结了常用玻璃量器检定过程中的注意事项,讨论了外观检查、清洁度、涂抹油脂、温度控制、液面观察方法对常用玻璃量器检定结果的影响,其中定容时是否使用黑色遮光带造成的影响最大。     

加速溶剂萃取–液相色谱法测定五灵脂药材中原儿茶酸的含量

建立了五灵脂中原儿茶酸含量的测定方法。利用加速溶剂萃取仪(ASE),以75%乙醇水溶液提取样品中的待测物,用Diamosil C18(4.6 mm×250 mm,5.0μm)色谱柱在梯度洗脱条件下分离待测物,外标法定量。原儿茶酸的线性范围为0.1~10.0 mg/L,相关系数r=0.9998。方法的回收率为83%~107%,测定结果的相对标准偏差为4.6%~10.5%,方法的定量限为1.0 mg/kg。该方法操作简便、快速,提取效率高,适用于检测和分析五灵脂中原儿茶酸的含量。     

水泥聚苯模壳格构式混凝土墙体的抗侧性能试验及分析

论文介绍6片不同高宽比的水泥聚苯模壳格构式混凝土墙体在轴压力和水平往复侧推力作用下的试验,分析这种墙体的抗侧强度、刚度和延性等力学性能.试验表明,高宽比大于1的墙体破坏时表现为墙体跟部的单一水平裂缝,其他部位完好;高宽比3∶4的墙体破坏时存在多条通过格构梁柱的斜向裂缝,墙体裂缝分布密集,变形能力好.     

复合二项风险模型的破产概率

本文讨论了一般情形的复合二项风险模型,得出了初始资本为０时的破产概率以及初始资本为ｕ≥０的情况下的破产概率的一般公式．     

Charmed andϕmeson decay constants from 2+1-flavor lattice QCD

On a lattice with 2+1-flavor dynamical domain-wall fermions at the physical pion mass,we calculate the decay constants of D_s^* , D^* ,and φ .The lattice size is 48^3×96 ,which corresponds to a spatial extension of -5.5 fm,with a lattice spacing of a\approx a≈0.114 fm.For the valence light,strange,and charm quarks,we use overlap fermions at several mass points close to their physical values.Our results at the physical point are f_D=213(5) MeV, f_Ds=249(7) MeV, f_D^*=234(6) MeV, f_Ds^*=274(7) MeV,and f_Ds=241(9) MeV.The couplings of D^* and D_s^* to the tensor current( f_V^T )can be derived from ratios f_D^*^T/f_D^*=0.91(4) and f_Ds^*^T/f_Ds^*=0.92(4) ,respectively,which are the first lattice quantum chromodynamics(QCD)results.We also obtain ratios f_D^*/f_D=1.10(3) and f_Ds^*/f_Ds=1.10(4) ,which reflect the size of heavy quark symmetry breaking in charmed mesons.Ratios f_Ds/f_D=1.16(3) and f_Ds^*/f_D^*=1.17(3) can be taken as a measure of SU(3)flavor symmetry breaking.     

复叠系统低温级制冷剂的循环性能对比实验

通过实验测试,比较了不同冷凝温度和蒸发温度下复叠系统低温级常用制冷工质R13、R23、R503和RS08B的COP、压比及制冷量等循环性能,又结合各制冷工质的环境性能、热工性能,分析了现有常用复叠系统低温级制冷工质各自的优缺点,为新工质的开发及进一步的制冷性能对比实验工作提供了有益的帮助.