Analysis on Optimal Error Exponents of Binary Classification for Source with Multiple Subclasses

We consider a binary classification problem for a test sequence to determine from which source the sequence is generated. The system classifies the test sequence based on empirically observed (training) sequences obtained from unknown sources P1 and P2. We analyze the asymptotic fundamental limits of statistical classification for sources with multiple subclasses. We investigate the first- and second-order maximum error exponents under the constraint that the type-I error probability for all pairs of distributions decays exponentially fast and the type-II error probability is upper bounded by a small constant. In this paper, we first give a classifier which achieves the asymptotically maximum error exponent in the class of deterministic classifiers for sources with multiple subclasses, and then provide a characterization of the first-order error exponent. We next provide a characterization of the second-order error exponent in the case where only P2 has multiple subclasses but P1 does not. We generalize our results to classification in the case that P1 and P2 are a stationary and memoryless source and a mixed memoryless source with general mixture, respectively.     

Error Performance of Amplitude Shift Keying-Type Asymmetric Quantum Communication Systems

We propose an amplitude shift keying-type asymmetric quantum communication (AQC) system that uses an entangled state. As a first step toward development of this system, we evaluated and considered the communication performance of the proposed receiver when applied to the AQC system using a two-mode squeezed vacuum state (TSVS), the maximum quasi-Bell state, and the non-maximum quasi-Bell state, along with an asymmetric classical communication (ACC) system using the coherent state. Specifically, we derived an analytical expression for the error probability of the AQC system using the quasi-Bell state. Comparison of the error probabilities of the ACC system and the AQC systems when using the TSVS and the quasi-Bell state shows that the AQC system using the quasi-Bell state offers a clear performance advantage under specific conditions. Additionally, it was clarified that there are cases where the universal lower bound on the error probability for the AQC system was almost achieved when using the quasi-Bell state, unlike the case in which the TSVS was used.     

经济增长影响因素实证研究

本文将人力资本作为生产要素之—,运用误差校正模型,估计出中国1952-1998年期间扩展的索洛模型。研究结果表明,物质资本存量的增长仍然是经济增长的主要因素,教育对经济增长有显著作用但贡献率不高(12.00%),劳动对经济增长的作用十分有限,三种投入要素对经济增长的总贡献仅占69.11%,其余应归功于包括技术进步在内的综合要素。     

大学、企业研发与区域创新的空间统计与计量分析

利用空间统计的Moran指数和空间计量经济学的空间误差模型和空间滞后模型,对2000年中国大陆31个省域的创新产出与大学与企业的关系进行了空间计量经济分析。结果发现:31个省域创新能力贡献主要是由企业研究与开发投入实现,大学研发对区域创新能力没有明显的作用,大学与企业研发的结合也没有对区域创新产生明显贡献。     

高维Cotes优化积分数值算法及其余项估计

利用一维Cotes公式及高维积分Cartesian积空间上的求积法则,将Cotes公式推广到了n维空间上,并给出了简单的误差估计.该公式具有比文[4],[5],[6]相关结果更小的误差和更高的收敛阶等优点.     

利用对系统误差修正的逆测法测量电表的内阻

本文在伏安法测电阻实验的基础上,将系统误差修正方法进行逆运用,介绍一种测量电表内阻的方法。     

X荧光光谱法测定锡酸铅TDI还原型催化剂中锡和铅含量

报道了一种准确度高、分析步骤简单的锡酸铅TDI还原型催化剂中锡和铅含量的X射线荧光光谱方法（XRF）．设计制备了标准样品,研究了仪器测试条件下元素峰位的选择和背景扣除方法．结果表明：X荧光光谱法在不破坏样品的前提下完成对二氧化锡和铅含量的同时测定,重复实验10次,Pb实验相对标准偏差为0．37％;SnO2实验相对标准偏差0．61％。     

结构光测量中的高精度相位误差补偿算法

在模拟分析投影仪伽马非线性对相位误差影响的基础上,提出一种直接分析投影光栅特征并建立相位误差查找表的算法.对相位误差进行补偿.该算法通过分析一组投射到标准白色平板上的光栅图像,确定光栅相位值与相位误差的对应关系,并量化存储在一个查找表中,测量过程中使用查找表对相位误差进行补偿.实验结果表明.该方法可大大降低由投影仪伽马非线性引起的相位误差,系统测量精度达到0.043 mm,比误差补偿前提高了5.6倍.     

An FEM approximation for a fourth-order variational inequality of second kind

A fourth-order variational inequality of the second kind arising in a plate frictional bending problem is considered. By using regularization method, the original problem can be formulated as a differentiable variational equation, and the corresponding discrete FEM variational equation is presented afterwards. Abstract error estimates and error estimates of the approximation are derived in terms of energy norm and L^2-norm.     

Weyl-Ordered Operator Moyal Bracket by Virtue of Method of Integral Within an Weyl Ordered Product of Operators

The Moyal bracket is an exemplification of Weyl's correspondence to formulate quantum mechancis in terms of Wigner function. Here we present a formalism of Weyl-ordered operator Moyal bracket by virtue of the method of integral within a Weyl ordered product of operators and the Weyl ordering operator formula.