基于贝叶斯神经网络的非参数回归

提高神经网络模型推广能力的关键是控制模型的复杂度。该文探索了贝叶斯神经网络的非参数回归的建模方法,通过融入模型参数的先验知识,在给定数据样本及模型假设下进行后验概率的贝叶斯推理,使用马尔可夫链蒙特卡罗算法来优化模型控制参数,实现了对神经网络模型中不同部分复杂度的控制,获得了模型参数的后验分布及预测分布。在5个含噪二维函数回归问题上的应用显示了模型的复杂度能根据数据的复杂度而自适应调整,并给出了较好的预测结果。     

Influence diagnostics and outlier tests for semiparametric mixed models

Summary. Semiparametric mixed models are useful in biometric and econometric applications, especially for longitudinal data. Maximum penalized likelihood estimators (MPLEs) have been shown to work well by Zhang and co-workers for both linear coefficients and nonparametric functions. This paper considers the role of influence diagnostics in the MPLE by extending the case deletion and subject deletion analysis of linear models to accommodate the inclusion of a nonparametric component. We focus on influence measures for the fixed effects and provide formulae that are analogous to those for simpler models and readily computable with the MPLE algorithm. We also establish an equivalence between the case or subject deletion model and a mean shift outlier model from which we derive tests for outliers. The influence diagnostics proposed are illustrated through a longitudinal hormone study on progesterone and a simulated example.     

浅论教师在多媒体教学中的主体地位

运用现代多媒体教学手段，是实现教育方法现代化的必由之路，但教师在现代多媒体教学中的主体地位是不可替代的，多媒体教学在高等教育教学中发挥的作用如何，主要取决于教师的主体地位。     

On Block Updating in Markov Random Field Models for Disease Mapping

Gaussian Markov random field (GMRF) models are commonly used to model spatial correlation in disease mapping applications. For Bayesian inference by MCMC, so far mainly single-site updating algorithms have been considered. However, convergence and mixing properties of such algorithms can be extremely poor due to strong dependencies of parameters in the posterior distribution. In this paper, we propose various block sampling algorithms in order to improve the MCMC performance. The methodology is rather general, allows for non-standard full conditionals, and can be applied in a modular fashion in a large number of different scenarios. For illustration we consider three different applications: two formulations for spatial modelling of a single disease (with and without additional unstructured parameters respectively), and one formulation for the joint analysis of two diseases. The results indicate that the largest benefits are obtained if parameters and the corresponding hyperparameter are updated jointly in one large block. Implementation of such block algorithms is relatively easy using methods for fast sampling of Gaussian Markov random fields ( Rue, 2001 ). By comparison, Monte Carlo estimates based on single-site updating can be rather misleading, even for very long runs. Our results may have wider relevance for efficient MCMC simulation in hierarchical models with Markov random field components.     

三维Minkowski空间中有相等主曲率函数的一类特殊曲面的位置向量场

讨论三维Minkowski空间R2 .1中一类特殊曲面在主曲率函数相等时的情形 ,给出了这类曲面在这一情形下的位置向量场     

基于分数本征特征的手写数字识别

特征提取是手写体数字识别研究中的重要问题,有效、稳定的特征是提高识别率和识别精度的关键。该文提出了一种基于分数本征特征和核非线性分类器的手写数字识别方法,首先找到时频平面的一个轴进行分数傅里叶变换,使不同类别样本在这个轴上最大限度地分开,然后用主元分析进行降维,得到比较稳健的低维特征,再将常用分类器用于特征分类,实现对手写数字的识别。对实际数据进行实验,结果表明上述本征特征与核非线性分类器相结合有较高的识别率和训练、分类效率。     

多元线性回归方程及其应用

通过建立多元线性回归的数学模型,利用最小二乘估计得到正规方程组并进行相关性检验,从而解决相关实际问题。     

试论戏剧翻译的标准

译文的使用目的决定了不同体裁文体的翻译应遵循不同的翻译标准。本文分析了戏剧翻译的特点,提出戏剧翻译应以功能对等为原则,以原语和译语观众能获得大体相同的反应为标准,并探讨了为达到功能对等需对译文进行调整。     

A regression-based smoothing spline Monte Carlo algorithm for pricing American options in discrete time

American options in discrete time can be priced by solving optimal stopping problems. This can be done by computing so-called continuation values, which we represent as regression functions defined recursively by using the continuation values of the next time step. We use Monte Carlo to generate data, and then we apply smoothing spline regression estimates to estimate the continuation values from these data. All parameters of the estimate are chosen data dependent. We present results concerning consistency and the estimates’ rate of convergence.     

系统功能语篇分析实证研究——以主位结构为例

运用Halliday系统功能语法的观点和方法,主要探讨了语篇功能赖以实现的主位系统,分析主位结构和主位推进程序在实现语篇的衔接和连贯中的作用、所具有的文体功能以及主位的选择和使用表达说话者的不同目的的关系。