Higher-order principal component pursuit via tensor approximation and convex optimization

Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit （PCP）. This paper exploits the higher-order generalization of matrix recovery, named higher-order principal component pursuit （HOPCP）, since it is critical in multi-way data analysis. Unlike the convexification （nuclear norm） for matrix rank function, the tensorial nuclear norm is stil an open problem. While existing preliminary works on the tensor completion field provide a viable way to indicate the low complexity estimate of tensor, therefore, the paper focuses on the low multi-linear rank tensor and adopt its convex relaxation to formulate the convex optimization model of HOPCP. The paper further propose two algorithms for HOPCP based on alternative minimization scheme： the augmented Lagrangian alternating direction method （ALADM） and its truncated higher-order singular value decomposition （ALADM-THOSVD） version. The former can obtain a high accuracy solution while the latter is more efficient to handle the computationally intractable problems. Experimental results on both synthetic data and real magnetic resonance imaging data show the applicability of our algorithms in high-dimensional tensor data processing.     

The age of synthesis: From cognitive science to converging technologies and hereafter

This paper describes the development of two of the most important scientific disciplines in the last quarter of the 20th century, cognitive science, which emerged in 1975, and nano-bio-info-cogno (NBIC) converging technologies, which emerged in 2000. In this century, we will achieve cross-disciplinary integration, innovation in comprehensive knowledge and comprehensive devel opment in human resources. NBIC converging technologies will greatly expand human cognition and communication, improve human health, enhance social outcomes, strengthen national security and unify science and education. Cognitive science and converging technologies will have major effects on the future human development. I argue that the 21st century represents an age of synthesis, reflected in the continual reintegration between scientific disciplines in recent times. This new age of synthesis will require innovations in thought and methodology that differ from those underlying the age of analysis in the 20th century. I predict that these developments will allow every individual to realize comprehensive development. Accordingly, the education system will be transformed, and a comprehensive human resources system will be created.     

Drosophila TCTP is essential for growth and proliferation through regulation of dRheb GTPase

Cellular growth and proliferation are coordinated during organogenesis. Misregulation of these processes leads to pathological conditions such as cancer. Tuberous sclerosis (TSC) is a benign tumour syndrome caused by mutations in either TSC1 or TSC2 tumour suppressor genes. Studies in Drosophila and other organisms have identified TSC signalling as a conserved pathway for growth control. Activation of the TSC pathway is mediated by Rheb (Ras homologue enriched in brain), a Ras superfamily GTPase. Rheb is a direct target of TSC2 and is negatively regulated by its GTPase-activating protein activity. However, molecules required for positive regulation of Rheb have not been identified. Here we show that a conserved protein, translationally controlled tumour protein (TCTP), is an essential new component of the TSC-Rheb pathway. Reducing Drosophila TCTP (dTCTP) levels reduces cell size, cell number and organ size, which mimics Drosophila Rheb (dRheb) mutant phenotypes. dTCTP is genetically epistatic to Tsc1 and dRheb, but acts upstream of dS6k, a downstream target of dRheb. dTCTP directly associates with dRheb and displays guanine nucleotide exchange activity with it in vivo and in vitro. Human TCTP (hTCTP) shows similar biochemical properties compared to dTCTP and can rescue dTCTP mutant phenotypes, suggesting that the function of TCTP in the TSC pathway is evolutionarily conserved. Our studies identify TCTP as a direct regulator of Rheb and a potential therapeutic target for TSC disease.     

一个关于中国股票市场和宏观经济相互关系的实证分析

在简单介绍SVAR模型的基础上,对我国实体经济扰动和股市扰动对股票市场的影响作了实证分析,结果表明:目前我国股票市场的变化主要来源于股市扰动本身;各实体经济扰动虽有着稳定的影响,但不及股市自身的大,这可能和我国具体的融资环境有关.     

S7上保持正曲率的3维塌缩

证明了七维欧氏球面S7上存在一系列正曲率度量,使得在Gromov-Hausdorff收敛的意义下塌陷到S41/2,即常曲率为4的四维单连通空间型.     

广义冬梅地图的计数

研究了广义冬梅地图的计数问题,提供了以根点次和节点剖分为参数及以其根点次、根面次和度为参数的计数方程,并且导出了一些计数显式.     

音频贝叶斯谐波模型中参数的提取

由于音乐信号具有暂态特性、夹杂噪声、且它的基频在频域上具有复杂的结构,因此分析音乐信号是一项复杂的工作.本文在分析音乐信号时引入了音频贝叶斯谐波模型,并在此基础上提出了一个基于贝叶斯谐波模型的简化模型,然后采用可逆跳转蒙特卡罗(RJMCMC)采样算法对此模型中基频参数和谐波幅度进行了估计,仿真结果表明该算法取得了较好的效果.     

基于CPTU测试的共振密实法加固可液化地基效果评价

为了评价共振密实法加固可液化地基的效果,对宿(迁)新(沂)高速公路某15m厚粉土地基场地采用可变频振动桩锤和自行研制的十字形振动杆进行处理,并进行孔压静力触探(CP-TU)测试.在应用CPTU测试进行液化判别的基础上,利用分析得到的相对密实度、有效内摩擦角和压缩模量等场地土性参数和抗液化性能变化对处理效果进行定量评价,...     

基于特征融合的三维人脸识别

针对单一的人脸特征在识别中的局限性,将基于深度图像的全局特征和基于测地线的局部特征进行融合,以提高识别率.将三维人脸点云转换为深度图像后进行预处理,然后使用主成分分析法(PCA)找到一个低维的特征脸空间,依照最近邻法则将其与库集样本进行匹配,所得结果即为全局特征;将测试样本与模板人脸进行匹配,得到35个特征点,这些特征...     

Erratum to: <Emphasis Type="Italic">In vitro</Emphasis> induction of mouse meningeal-derived iPS cells into neural-like cells

The authors report that incorrect figures were included as Figures 4 and 5 in the original publication of this paper. This error occurred during the figure editing process of the publishing company. This information should have been presented as follows: