Low-rank optimization with trace norm penalty

The paper addresses the problem of low-rank trace norm minimization. We propose an algorithm that alternates between fixed-rank optimization and rank-one updates. The fixed-rank optimization is characterized by an efficient factorization that makes the trace norm differentiable in the search space and the computation of duality gap numerically tractable. The search space is nonlinear but is equipped with a Riemannian structure that leads to efficient computations. We present a second-order trust-region algorithm with a guaranteed quadratic rate of convergence. Overall, the proposed optimization scheme converges superlinearly to the global solution while maintaining complexity that is linear in the number of rows and columns of the matrix. To compute a set of solutions efficiently for a grid of regularization parameters we propose a predictor-corrector approach that outperforms the naive warm-restart approach on the fixed-rank quotient manifold. The performance of the proposed algorithm is illustrated on problems of low-rank matrix completion and multivariate linear regression. © 2013 Society for Industrial and Applied Mathematics.

Fixed-rank matrix factorizations and Riemannian low-rank optimization

Motivated by the problem of learning a linear regression model whose parameter is a large fixed-rank non-symmetric matrix, we consider the optimization of a smooth cost function defined on the set of fixed-rank matrices. We adopt the geometric framework of optimization on Riemannian quotient manifolds. We study the underlying geometries of several well-known fixed-rank matrix factorizations and then exploit the Riemannian quotient geometry of the search space in the design of a class of gradient descent and trust-region algorithms. The proposed algorithms generalize our previous results on fixed-rank symmetric positive semidefinite matrices, apply to a broad range of applications, scale to high-dimensional problems, and confer a geometric basis to recent contributions on the learning of fixed-rank non-symmetric matrices. We make connections with existing algorithms in the context of low-rank matrix completion and discuss the usefulness of the proposed framework. Numerical experiments suggest that the proposed algorithms compete with state-of-the-art algorithms and that manifold optimization offers an effective and versatile framework for the design of machine learning algorithms that learn a fixed-rank matrix. © 2013 Springer-Verlag Berlin Heidelberg.

Distribution, transformation, and long-term accumulation of polychlorinated dibenzo-p-dioxins and dibenzofurans in different tissues of fish and piscivorous birds

The present study monitored 10-year-old fish and piscivorous birds from sites contaminated for many Stars. The data reflected the results of actual, long-term environmental exposures, The results demonstrate that different tissues of fish have quite different concentrations of polychlorinated dibenzo-p-dioxins and dibenzofurans (PCDD/F), The concentration order of PCDD/F within fish is liver congruent to egg congruent to intestines kidney congruent to hearts gill congruent to bladders > muscle > brain. The concentration order of PCDD/F within piscivorous birds was livers egg congruent to hearts muscle congruent to stomachs brain, The results obtained also demonstrate that the accumulation patterns of piscivorous birds and fish are quite different. The tissues of fish and piscivorous birds have different capacities for bioaccumulation and biotransformation of PCDD/F; variable proportions of TEQs were also found throughout their bodies. In fish, toxic equivalency quotient (TEQ): PCDD/F ratios in various tissues ranged from 0.01 to 0.07, whereas in birds the ratios ranged from 0.07 to 0.43. If the concentrations are normalized with lipid content, the results vary less. The effect of different lipid properties is obvious in the case of brain tissue, which is richer in phospholipids. (C) 2000 Academic Press.

黄土丘陵区草地土壤微生物C、N及呼吸熵对植被恢复的响应

以野外样地调查和室内分析法研究了黄土丘陵区不同植被恢复年限下草地土壤微生物C、N及土壤呼吸熵的变化。结果表明,土壤微生物量碳明显地随着植被恢复年限的增加而增加。在恢复前23a,土壤微生物量碳在0～20cm土层年增加率为24.1%;20～40cm为104.4%。植被恢复23a后,0～20cm土层增长率为0.83%,20～40cm为0.19%。土壤微生物量N表现为在植被恢复的初期略有下降,3a后,开始出现明显增加。0～20cm土层年增长率为20.14%,20～40cm为15.11%。在植被恢复23a后,0～20cm土层的年增长率为0.14%,20～40cm变化不大。土壤微生物呼吸强度随着恢复年限的增加逐渐加强;土壤呼吸熵随植被封育时间的增加而呈对数降低趋势。土壤呼吸熵(qCO2)在反映土壤的生物质量变化时,显得更加稳定,受植物生长状况影响较小。相关分析表明,土壤微生物量和土壤微生物活性与土壤有机质、碱解氮和粘粒含量显著正相关;与土壤粉粒含量明显负相关;表层土壤pH值对其也有明显影响。草地植被自然恢复过程可增加土壤微生物活性,有利于土壤质量的提高。

A linkage map of common carp (Cyprinus carpio) based on AFLP and microsatellite markers

P>Common carp (Cyprinus carpio) is an important fish for aquaculture, but genomics of this species is still in its infancy. In this study, a linkage map of common carp based on Amplified Fragment Length Polymorphism (AFLP) and microsatellite (SSR) markers has been generated using gynogenetic haploids. Of 926 markers genotyped, 151 (149 AFLPs, two SSRs) were distorted and eliminated from the linkage analyses. A total of 699 AFLP and 20 microsatellite (SSR) markers were assigned to the map, which comprised 64 linkage groups and covered 5506.9 cM Kosambi, with an average interval distance of 7.66 cM Kosambi. The normality tests on interval map distances showed a non-normal marker distribution. Visual inspection of the map distance distribution histogram showed a cluster of interval map distances on the left side of the chart, which suggested the occurrence of AFLP marker clusters. On the other hand, the lack of an obvious cluster on the right side showed that there were a few big gaps which need more markers to bridge. The correlation analysis showed a highly significant relatedness between the length of linkage group and the number of markers, indicating that the AFLP markers in this map were randomly distributed among different linkage groups. This study is helpful for research into the common carp genome and for further studies of genetics and marker-assisted breeding in this species.

Characteristic rainfall for warning of debris flows

A characteristic rainfall is introduced to overcome the difficulties encountered in determining a critical rainfall value for triggering debris flow. The characteristic value is defined as the rainfall at which debris-flow occurrence probability shows a rapid increase, and can be used as a warning rainfall threshold for debris flows. Investigation of recorded debris flows and 24-hour rainfall data at Jiangjia basin, Yunnan Province, in southwestern China, demonstrates the existence of such a characteristic rainfall. It was found that the characteristic rainfall corresponds to the daily rainfall of 90% cumulative probability by analyzing the basin's daily rainfall histogram. The result provides a simple and useful method for estimating a debris-flow warning rainfall threshold from the daily rainfall distribution. It was applied to estimate the debris-flow warning rainfall threshold for the Subaohe basin, a watershed in the 2008 Wenchuan earthquake zone with many physical characteristics similar to those of the Jiangjia basin.

九寨沟核心景区湖泊硅藻的组成及其密度与环境因子的关系

九寨沟自然保护区地处四川盆地北部岷山山脉南段，属川西高原气候中的暖温带。保护区内分布着118 个串珠状排列的高山湖泊，核心景区共有湖泊20 个（组），集中在海拔2000 米到3000 米之间。水资源是九寨沟的灵魂，保护水生生态系统是九寨沟生态旅游可持续发展的立足之本。本研究以九寨沟湿地生物多样性保护项目为依托，于2007 年5 月～2008 年4 月对九寨沟核心景区湖泊水体硅藻植物进行调查，分析了其密度与环境因子的相互关系，旨在为九寨沟湖泊生态系统保护提供科学依据和基础资料。主要有以下几点结论： （1）九寨沟硅藻植物丰富，调查统计为2 纲6 目10 科35 属159 种（包括变种和变型），水体硅藻中真性浮游种类较少，着生种类多，羽纹纲的脆杆藻属、舟形藻属、桥弯藻属、异极藻属、曲壳藻属的种类最多，常为优势属组成湖泊硅藻群落，只在长海是小环藻属占绝对优势。 （2）九寨沟水体中硅藻细胞密度不大，多在4×104～30×104 个/L，长海最高，五花海最低。在年变化上，不同的湖泊水体中硅藻的生长高峰季节不尽相同，在夏季、秋末和冬末春初均有可能出现高密度。在空间上，整体看来密度与海拔有一定的正相关，但由于水温不是单一主导因素，密度受多种环境因子影响，在海拔梯度上呈现一定的波浪状变化。 （3）影响九寨沟湖泊水体硅藻细胞密度较重要的环境因子是海拔、水温和pH。硅藻细胞密度年变化幅度大的湖泊水体，年平均细胞密度大。因此，环境因素不太稳定的湖泊水体，更可能出现高的硅藻细胞密度。11 月份响应于水量剧烈的减少，细齿菱形藻大量出现在五彩池成为优势种群，造成水体硅藻细胞密度的大幅增加。 （4）九寨沟湖泊水体水质几乎达到国家地表水I 类标准，但是，硅藻商指数以及代表多样性的Cairns 指数计算的结果不能反映水质的情况，这是由于水质状况不是决定九寨沟湖泊水体中硅藻生存的种类和数量的主要因素。因此在用各种指数分析水质的时候，都应该先判断计算该指数的参数是否主要由水质状况决定，然后再综合理化性质等其他指标分析和比较。 （5）人类的活动对九寨沟湖泊水生态系统有一定的影响。一方面，在低海拔景点人类活动的干扰比海拔高处相对要大，干扰引起低海拔景点湖泊硅藻Cairns指数较高；另一方面，旺季的影响比淡季大，水体中出现了典型富营养种类。因此，应加强低海拔景点和旺季的管理，并限制淡季的人类活动以保证九寨沟生态系统的自我恢复。 Jiuzhaigou nature reserve is located in north Sichuan, at the south section of Minshan Mountain, having a warm temperate climate which belongs to West Sichuan plateau climate. It includes 118 mountain lakes, and 20 of them between 2000 and 3000 altitude degree constitute the core area of Jiuzhaigou. The water is Jiuzhaigou's soul, so it is the basis of sustainable tourism development of Jiuzhaigou to protect the water ecological environment. Research depends on Jiuzhaigou wetland biodiversity protection program in this paper, invested the diatom plants in 17 lakes at the core area from May 2007 to April 2008. The composition and the correlation of diatom density and the environment were studied, which could provide scientific and basic information for the protection of the ecological environment of Jiuzhaigou. The main conclusions were: 1 The diatom species were in abundance, investigation showed that there were 159 species belong to 10 families and 35 genera. Most diatoms were benthos, euplankton were less. Genera Fragilaria, Navicula, Cymbella, Gomphonema and Achnanthes had the most species, which always were the dominant genera. Only in The Long Lake genus Cyclotella possessed a predominant status. 2 The diatom cell density was not very high, always between 4×104 cell/L and 30×104 cell/L, highest in The Long Lake and lowest in The Colorful Lake. In one year's time, diatom in different lakes had different growth type. The maximum could be in summer, late autumn and late winter early spring. The cell density showed a positive correlation to altitude in the whole, but fluctuated in details along altitude because of comprehensive influence by many environmental factors. 3 Altitude, water temperature and pH were the more important factors to determine the cell density. There was a positive correlation between the range of cell density in one year and the average cell density. So high annual cell average density probably will appear in lakes which has an unstable environmental condition. The boom of Denticula elegans in The Jade-Colored Lake in November was corresponding to the large decrease in water quantity. 4 The water quality of Jiuzhaigou was near the National Surface Water Standard rank I, but the Diatom Quotient and the Cairns Index didn't reflect the water quality accordingly. It was because the water quality wasn't the most important factor here which determined the species number and species quantity, so the index based on these items would not reflect it. Therefore, it is recommended that, when we use indices to evaluate the water quality, we should know first whether the water quality is the main determinative factor inflects the items used to compute the indices, and then combined with other chemical indices to analyze and do comparison. 5 The tourists' activities had influenced the water ecosystem of Jiuzhaigou. On the one hand, disturbance was relatively high at the lower altitude, it resulted in higher Cairns index; on the other hand, influence in high season was more severe than in low season, some typical species indicating eutrophication were observed in the water. It is suggested that the management at lower altitude and in high season must be strengthen, and less people activity in low season is necessary to fulfill the recovery of the water ecosystem.

Trends in heavy metal levels in the dissolved and particulate phase in the Dutch rhine-meuse (MAAS) delta*

Levels of the heavy metals Cd, Cr, Cu, Pb and Zn, in both the dissolved and particulate phase, were determined in two sampling campaigns in August 1978 and August 1984 in the Dutch Rhine-Meuse (Maas) Delta. Besides the heavy metal concentrations, other important parameters were determined, such as the concentrations of seston, chlorophyll and nutrients. The concentrations of dissolved Cd and of Cd, Pb and Cu in particulate matter were much higher in 1978 than in 1984, especially for Cd. This may be due to the strict regulations implemented in Germany to reduce the pollution of natural waters by heavy metals. The correlation between the high Cd content and the chlorophyll content is explained by the binding of Cd to living and dead organisms. The distribution of the metals between the dissolved and the particulate phase, indicated by the distribution quotient Kd , increases from low values of Kd for Cu and Zn, to higher values for Cd and Cr, and the highest values for Pb. The differences are explained by various binding forms of each of these metals in natural waters

基于直方图插值的均值移动小尺寸目标跟踪算法

小尺寸目标跟踪是视觉跟踪中的难题。该文首先指出了均值移动小尺寸目标跟踪算法中的两个主要问题:算法跟踪中断和丢失跟踪目标。然后,论文给出了相应的解决方法。对传统Parzen窗密度估计法加以改进,并用于对候选目标区域的直方图进行插值处理,较好地解决了算法跟踪中断问题。论文采用Kullback-Leibler距离作为目标模型和候选目标之间的新型相似性度量函数,并推导了其相应的权值和新位置计算公式,提高了算法的跟踪精度。多段视频序列的跟踪实验表明,该文提出的算法可以有效地跟踪小尺寸目标,能够成功跟踪只有6×12个像素的小目标,跟踪精度也有一定提高。

基于直方图处理和新型相似性度量函数的小尺寸目标跟踪算法

小尺寸目标跟踪是视觉跟踪中的难题。本文使用均值移动算法跟踪小尺寸目标。论文首先分析了基于均值移动的小尺寸目标跟踪算法的两个主要问题:跟踪算法中断和跟踪目标丢失。然后,论文在这两个方面对小尺寸目标跟踪算法进行改进。给出了一种新的直方图单元编号方法,使包含目标颜色分量的直方图单元分布得更为集中紧凑。当候选目标与目标模型不匹配时,给出一种平滑算法来处理候选目标的直方图。论文提出一种新的相似性度量函数,推导了相应的权值计算公式,在此基础上建立了基于均值移动的目标跟踪算法。多段真实场景视频序列的跟踪实验表明,本文提出的算法可以有效地跟踪小尺寸目标,跟踪精度也有一定提高。

A new method of measuring alcohol clusters in polyimide membrane: combination of inverse gas chromatography with equilibrium swelling

A new method of measuring the mean size of solvent clusters in swollen polymer membrane is presented in this paper. This method is based on a combination of inverse gas chromatography (IGC) and equilibrium swelling. The mechanism is that weight fraction activity coefficient of solvent in swollen polymer is influenced by its clusters size. The mean clusters size of solvent in swollen polymer can be calculated as the quotient of the weight fraction activity coefficient of clustering system dividing the weigh fraction activity coefficient of non-clustering system. In this experiment, the weigh fraction activity coefficient of non-clustering system was measured with IGC. Methanol, ethanol and polyimide systems were tested with the new method at three temperatures, 20, 40, and 60degreesC. The mean clusters size of methanol in polyimide was five, four, and three at each temperature condition, respectively. Ethanol did not form clusters (the mean clusters size was one). In contrast to the inherent narrow temperature range in DSC, XRD, and FTIR methods, the temperature range in IGC and equilibrium swelling is broad. Compared with DSC. XRD. and FTIR, this new method can detect the clusters of solvent-polymer system at higher temperature.

用于移动机器人自定位的视觉路标设计

为了实现室内移动机器人的自定位,提出了一种简易美观的新型视觉人工路标以及基于对数极坐标系投影直方图的路标识别方法,并用基于共面四点的位姿估计算法计算机器人位姿。实验结果说明,路标检测具有很高的鲁棒性;路标识别方法抗噪声和形变的能力强;位姿精度足够满足室内移动机器人自定位的需要。

基于改进角度直方图和最小二乘法的移动机器人地图构建

本文主要研究完全未知结构化环境下的移动机器人二维几何地图构建及其不确定性描述问题。在考虑测量噪声干扰的基础上，基于改进的角度直方图算法进行环境线段特征提取和参数初始估计，然后利用加权最小二乘法对线段特征参数及其方差进行精确估计，并同时给出了多位姿地图合并的处理方法.文章最后给出了在SmartROB2机器人平台上进行的实验结果，证明了算法的有效性和实用性。

一种基于多特征融合的汽车变速箱螺栓在线视觉检测系统

本文根据汽车变速箱装配线螺栓检测的要求,结合检测现场的实际图像特点,采用融合灰度投影与颜色直方图两种特征的方法,利用相似性测度的计算方法,设计了一种变速箱螺栓在线装配质量检测系统,该系统用于实现螺栓的的缺失及漏拧检测,试验结果表明,方法具有良好的实用性,取得了比较理想的效果。

地震力对高架桥梁上轨道车辆的动态分析与安全性研究

The stability and derailment behavior analysis of railway vehicle system has been discussed by many papers in the past. In stability, give first place to consider hunting behavior of vehicle, therefore most of papers was only consider lateral and yaw motion, but vertical motion is the important factor in derailment behavior, and it will be quite effect in stability. We will probe the running stability and derailment behavior of railway vehicle moving on the viaduct in this paper. In this paper, we use Nadal’s formula to get the derailment quotient. In this paper, the railway vehicle is considered to be three subsystems, carbody, bogie and wheelset. There are secondary suspension systems between carbody and bogies, and primary suspension systems connecting bogies and wheelsets. A vehicle with vertical, lateral, roll, and yaw directions motion is considered to derive the mathematical equations. A vehicle with three-dimensional model has 16 degrees of freedom is used to develop the equations of train motion. In this study, results show that the track shift force and derailment factor increase with an increase of ground acceleration. But for the track shift force and derailment factor, the effects of track irregularities and train speed are very small. Key words: earthquake, railway vehicle, viaduct, derailment factor.