H.264视频编码中的场景自适应比特率控制

探讨了提高H.264视频编码性能的场景自适应比特率控制问题.通过计算高维空间中多模式聚集的最大特征向量距离,提出了基于巴氏距离的场景变化度量,并有效采用低秩Cholesky分解计算近似巴氏距离.在此基础上,提出了自适应的GOP结构和量化参数调整策略.实验模拟了视频样本序列.由于具有差错复原和较低的计算复杂度等特点,实验结果表明该方法十分有效.     

二分图上有限制条件的(g,f)-因子分解

设G=(X,Y,E)是二分图,g,f是定义在V(G)上的正整数值函数,且对任意的x∈V(G)有g(x)＜f(x).令G是(mg,mf-1)-图,证明了:①若,g(x)≥1,H是G的任一含有m条边的子图.则G有一个(g,,)-因子分解与H-正交.②若g(x)≥2,H是G的任一含有2m条边的子图,则G有一个(g,f)-因子分解与H2-正交.     

唯一分解整半群上的Euler函数

文章首先定义了唯一分解整半群（UFISG）上的Euler函数,然后讨论了它的性质并得到了若干有关结果。     

Cholesky–ANN models for predicting multivariate realized volatility

Accurately forecasting multivariate volatility plays a crucial role for the financial industry. The Cholesky–artificial neural networks specification here presented provides a twofold advantage for this topic. On the one hand, the use of the Cholesky decomposition ensures positive definite forecasts. On the other hand, the implementation of artificial neural networks allows us to specify nonlinear relations without any particular distributional assumption. Out-of-sample comparisons reveal that artificial neural networks are not able to strongly outperform the competing models. However, long-memory detecting networks, like nonlinear autoregressive model process with exogenous input and long short-term memory, show improved forecast accuracy with respect to existing econometric models.     

基于随机方差调整梯度的非负矩阵分解

针对求解非负矩阵分解的乘性更新规则存在计算复杂度高且迭代效率低等缺点, 提出一种随机方差参数调整梯度的方法. 将方差缩减策略和乘性更新规则相结合, 通过引入一个调整随机梯度估计量的参数校正梯度下降方向使其偏差与方差达到平衡, 从而能快速、 准确地逼近最优解. 在真实数据集上进行仿真实验, 结果验证了该算法的可行性和有效性.     

基于点的代数连通强度和非负矩阵分解的肿瘤基因分类

随着DNA微列阵技术的发展,利用基因表达谱数据进行生物信息的有效挖掘已经成为研究热点.因此,该文中提出将点的代数连通强度与非负矩阵分解相结合的方法对基因表达数据进行分类处理.首先利用点的代数连通强度剔除受外界因素影响过大的基因数据并用修正的特征计分准则进行计分排序,选取具有高计分的基因子集;接着利用近来流行的非负矩阵分解将该基因子集映射到极低维的特征空间;最后利用SVM分类器实现分类实验.通过几组公开的基因表达谱数据集的实验结果以及与其他方法的对比分析,验证了该方法是有效的、可行的.     

二维局部非负矩阵分解的路网态势算法

针对路网态势评测算法存在限于断面、依赖单一指标等的不足,在解析测量指标和测量断面的相关性及局部非负矩阵分解(LNMF)算法的基础上,提出了二维局部非负矩阵分解2DLNMF算法,通过选择合适参数对路网数据进行降维处理,提取路网特征数据,从而实现路网态势评测.仿真结果表明,使用2D-LNMF算法路网态势评测结果更加准确,而在线评测准确性达到95.69%.     

The semileptonic decays of B/Bs meson in the perturbative QCD approach： a short review

In this short review, we present the current status about the theoretical and experimental studies for some important semileptonic decays of B/Bs mesons. We firstly gave a brief introduction for the experimental measurements for B/Bs → P（l＋l-, l-v-l, vv-） decays, the BaBar＇s R（D） and R（D＊） anomaly, the P′5 deviation for B0→ K＊0μ＋μ decay. We then made a careful discussion about the evaluations for the relevant form factors in the light-cone QCD sum rule, the heavy quark effective theory, and the perturbative QCD factorization approach. By using the form factors calculated in the perturbative （pQCD） approach, we then calculate and show the pQCD predictions for the decay rates of many semileptonic decays of B/Bs mesons. We also made careful phenomenological analysis for these pQCD predictions and found, in general, the following points： （a） For all the considered B/Bs semileptonic decays, the next-to-leading order pQCD predictions for their decay rates agree well with the data and those from other different theoretical methods; （b） For R（D） and R（D＊）, the pQCD predictions agree very well with the data, the B aBar＇s anomaly of R （D（＊）） are therefore explained successfully in the standard model by employing the pQCD approach; and （c） We defined several new ratios RD^l,τ and RDs^l,τ, they may be more sensitive to the QCD dynamics which controls the B/Bs→（D（＊）, Ds（＊）） transitions than the old ratios, we therefore strongly suggest LHCb and the forthcoming Super-B experiments to measure these new ratios.     

Semileptonic decays B→D~(*) lυ in the perturbative QCD factorization approach

In this paper,we study the B→D~(*) l-l -ι semileptonic decays and calculate the branching ratios B(B→D~(*) l-l -ι) and the ratios R(D~(*)) and R_D~( l,s) by employing the perturbative QCD(pQCD)factorization approach.We find that(a)for R(D)and R(D*)ratios,the pQCD predictions are R(D)=0.430-0.026?0.021,R(D*)=0.301±0.013 and agree well with BaBar’s measurements of ReD e?T T;(b)for the newly defined R_D~1 and R_D~s ratios,the pQCD predictions are R_D~l=0.450-0.051+0.064 and R_D~s=0.642-0.070+0.081,which may be more sensitive to the QCD dynamics of the considered semileptonic decays than R(D~(*)) and should be tested by experimental measurements.     

B_q~*→D_qV和P_qD~*非轻弱衰变的研究

基于强子、电子对撞机LHC和Belle-Ⅱ上的重味物理实验,详细研究了B~*→DD~*、Dρ~-、DK~(*-)、πD~*和KD~*等非轻衰变.采用简单因子化方法计算了这些过程的衰变振幅,并利用BSW模型计算了和这些过程相关的形状因子,进而给出了这些衰变过程的分支比和极化分数.从数值结果来看,B_q~*→D_qD_s~(*-)和D_qρ~-衰变有比较大的分支比,数量级高达10~(-8).因此,这两个过程将有望较早地被LHC和Belle-Ⅱ实验所观测到.