Robust Tensor Analysis With L1-Norm

Tensor analysis plays an important role in modern image and vision computing problems. Most of the existing tensor analysis approaches are based on the Frobenius norm, which makes them sensitive to outliers. In this paper, we propose L1-norm-based tensor analysis (TPCA-L1), which is robust to outliers. Experimental results upon face and other datasets demonstrate the advantages of the proposed approach.

L1-Norm-Based 2DPCA

In this paper, we first present a simple but effective L1-norm-based two-dimensional principal component analysis (2DPCA). Traditional L2-norm-based least squares criterion is sensitive to outliers, while the newly proposed L1-norm 2DPCA is robust. Experimental results demonstrate its advantages.

异质性环境中两种匍匐茎草本植物的克隆可塑性

　　克隆植物常常生长在资源异质性分布的环境中，克隆植物特有的生活史特征使其对环境和资源变化产生的反应规范（Reaction norm）具有特殊的表现和适应意义。本文以匍匐茎草本植物蛇莓(Duchesnea indica)和活血丹(Glechoma longituba)为材料，研究克隆植物在不同异质性环境中的反应规范，即可塑性（plasticity）和克隆分株间相互作用（即克隆整合（clonal integration））对表型的影响及其适应意义。 蛇莓和活血丹是具有不同分枝类型的两种匍匐茎草本植物。对于匍匐茎草本植物而言，生境中光资源分布在时间和空间上的变化极为丰富。本文主要研究在不同环境中，这两种克隆植物克隆分株间的相互作用是如何通过影响其形态特征，从而影响其光资源获取策略。 实验涉及了4种光照条件，分为5个部分，分别在大棚和野外进行。 1．同质光环境中蛇莓和活血丹克隆片段的可塑性 在大棚中，将整个克隆片段（clonal fragment）都放置在光照强度分别为自然光照PPFD（Photosynthetic Photon Flux Density）的100％、50％和10％三种不同的同质光环境中，目标是通过比较不同光照强度同质环境中不同基因型的形态特征，揭示匍匐茎草本克隆植物的反应规范及遗传差异。实验结果发现，当光照强度从100% PPFD 降到 50% PPFD时，活血丹增加对地上部分生物量投资，增加部分多投入到匍匐茎上，用于支持匍匐茎实现觅食行为，叶片和叶柄的变化不大。同样条件下，蛇莓的生物量投资却向根部转移，地上部分叶片和叶柄形态上的变化比匍匐茎的形态变化显著，出现增强对光资源吸收能力的变化。当光照强度从50%降到 10%时，活血丹继续增加对地上部分的生物量投资，但由于光照强度弱，几乎不足以维持新的匍匐茎的发生，所有增加的生物量部分都投入到叶片和叶柄的变化上。这种条件下，蛇莓的生物量投资依然向根部转移，叶片和叶柄为增加对光资源吸收能力而发生了相应变化，匍匐茎的新增数减少，形态变化也不大。实验证明，可能由于匍匐茎的发生方式不同，活血丹的匍匐茎节间长度，叶片和叶柄的关联程度比蛇莓相应性状的关联程度强。不同基因型的蛇莓和活血丹对光照梯度的反应有显著差异。 2．异质光环境中蛇莓克隆片段的可塑性 针对克隆植物分株间在相当长的时间里形体相连，而环境异质性可能存在于分株大小的空间尺度，设置异质环境，将蛇莓的不同相连分株放置在不同的光资源斑块中，研究其整合作用在适应异质性环境过程中的作用及其对表型的影响。首先设置同一种资源（光资源）的梯度差异斑块。 在光斑块中，整合作用发生与否、作用方式与资源梯度、分株自身所处斑块的资源条件和分株的年龄结构有关。在不同的条件下，整合作用可能造成对表型的不同影响，从而可能加剧或削弱分株对本地资源的反应（局部反应，local response）。整合作用对分株局部反应的影响强度和方向，在不同基因型间存在明显差异。这些基因型间的差异暗示，整合作用可能也是具有遗传基础的一种独立性状。 3．光块斑和养分斑块共存环境中活血丹克隆片段的可塑性 设置光和养分的资源互补性斑块。将相连分株种植在不同斑块中。当生长在高光低养斑块中的分株与其互补斑块（低光高养斑块）的分株相连时，其适合度相关性状的值增加，根冠比是可塑的，通过相应的形态变化，高光照斑块中的分株捕获光资源的能力增强，但两种斑块中植株的吸收养分的能力却没有大的变化。收益－损耗分析显示整合作用有益于异质环境中的植株，低光高养斑块中植株的生物量获益。实验结果证明了异质环境中相连分株间存在光合产物和养分传递。在这种环境种，分株形态的变化对本地斑块发生趋富反应，形态的改变有助于对本地丰富资源的吸收。这种反应有利于克隆片段对资源的吸收。 4．野外环境中蛇莓克隆片段的可塑性 基于大棚实验资料，对野外林下蛇莓种群进行监测。首先对单株在林下复杂的光环境中的表现进行了跟踪，结果发现，随着分株数目的增加，适合度相关性状值有所提高，而处于不同位置的相连分株在形态上的差异不显著。大棚实验中发现的显著形态变化在具有显著差异的自然环境条件下没有发生，这可能暗示着在资源条件变化频率较高的环境中整合作用的作用方式。分株不是对某一时刻资源条件进行形态特化，而是通过对所扩展的总体区域的总的环境条件调整表型。这样，从克隆片段的水平上看，资源的吸收可能达到较高水平。在密度增大，植株间互相荫蔽使得光照减弱的情况下，匍匐茎的变化没有表现出觅食行为，叶片和叶柄出现增大增长等增强吸收光能力的相应表型变化，证明叶片叶柄是克服光照不足的主要器官。这些结果与大棚实验结果一致。蛇莓基株对于相连分株内部可能具有密度调节功能，从而通过减弱叶片增大的趋势，增长匍匐茎，分散新生分株，使密度保持在一定程度，不对种群的发展造成阻碍作用。非相连分株间随着密度的增大，相互间的作用方式类似于非克隆植物：出现叶片增大，叶柄增长的现象，同时密度制约了适合度相关性状如分株数目等的增加。 5．野外环境中蛇莓种群格局动态 最后，在进化的单位，种群水平上对蛇莓种群在自然界的动态进行了调查。Spearman相关分析，没有发现光资源和测量指标在量上的相关。在自然界中整合作用使大量分散分布、相互连接的分株相互作用，以促进基株对资源的获取。Moran’s I指数分析显示，随时间的推进，各个指标在相关尺度上有所增加。这暗示了整合作用的存在，分株间联系的加强。大棚实验中观察到的关于各个器官的作用的结论在自然界中得到进一步的验证。蛇莓匍匐茎在遮荫环境中不是作为觅食器官。为了争取对更多光资源的吸收，蛇莓在叶片数和叶形态上发生改变。对分株数、叶片数、匍匐茎数目的分布格局的调查显示出没有一定的规律性，而且处于不断的变化中。这一结果可能暗示种群发展过程中处理异质性分布资源的对策的变化。 此外，本文还揭示了可塑性和整合作用在基因型间的差异，针对所发现的现象，从作用的遗传机制上对可塑性及其适应意义进行了讨论。结合分子生物学和地统计学等学科的研究成果，对进一步的实验提出了方法和路线。

Coalition and distribution in fuzzy dynamic supply chain systems

In this paper, two models of coalition and income's distribution in FSCS (fuzzy supply chain systems) are proposed based on the fuzzy set theory and fuzzy cooperative game theory. The fuzzy dynamic coalition choice's recursive equations are constructed in terms of sup-t composition of fuzzy relations, where t is a triangular norm. The existence of the fuzzy relations in FSCS is also proved. On the other hand, the approaches to ascertain the fuzzy coalition through the choice's recursive equations and distribute the fuzzy income in FSCS by the fuzzy Shapley values are also given. These models are discussed in two parts: the fuzzy dynamic coalition choice of different units in FSCS; the fuzzy income's distribution model among different participators in the same coalition. Furthermore, numerical examples are given aiming at illustrating these models., and the results show that these models are feasible and validity in FSCS.

低定额畦灌技术参数研究

基于有限水资源的农田补充灌溉,以寻求不产生深层渗漏的节水型地面畦灌灌水定额为目标,在陕西省杨陵区中壤土玉米地,开展了畦田规格和灌水技术要素对灌水效率和灌水均匀度影响的田间试验。通过水流推进、消退过程、土壤水分变化的测定,利用地面灌溉水流运动曲线拟合对畦灌条件下的最佳灌水技术要素组合进行了分析。结果表明:畦田规格和灌水技术要素对灌水效率和灌水均匀度具有明显影响,对于试验田块,田面坡度为1.5‰时,入畦单宽流量控制在3～6L/(m.s)范围内,畦宽2～3m,畦长50m左右,可达到较高灌水效率(Ea>80%)和灌水均匀度(DU>80%),并能将灌水定额控制在设计范围之内,实现畦田的小定额灌溉。

INTERVALLEY-GAMMA-CHI DEFORMATION POTENTIALS IN III-V ZINCBLENDE AND SI SEMICONDUCTORS BY AB-INITIO PSEUDOPOTENTIAL CALCULATIONS

Intervalley GAMMA - X deformation potential constants (IVDP's) have been calculated by first principle pseudopotential method for the III-V zincblende semiconductors AlP, AlAs, AlSb, GaP, GaAs, GaSb, InP, InAs and InSb. As a prototype crystal we have also carried out calculations on Si. When comparing the calculated IVDP's of LA phonon for GaP, InP and InAs and LO phonon for AlAs, AlSb, GaAs, GaSb and InSb with a previous calculation by EPM in rigid approximation, good agreements are found. However, our ab initio pseudopotential results of LA phonon for AlAs, AlSb, GaAs, GaSb and InSb and LO phonon for GaP, InP and InAs are about one order of magnitude smaller than those obtained by EPM calculations, which indicate that the electron redistributions upon the phonon deformations may be important in affecting GAMMA - X intervalley shatterings for these phonon modes when the anions are being displaced. In our calculations the phonon modes of LA and LO at X point have been evaluated in frozen phonon approximation. We have obtained, at the same time, the LAX and LOX phonon frequencies for these materials from total energy calculations. The calculated phonon frequencies agree very well with experimental values for these semiconductors.

1ST PRINCIPLES PSEUDOPOTENTIAL CALCULATIONS OF ZONE BOUNDARY PHONON FREQUENCIES OF III-V-ZINCBLENDE SEMICONDUCTORS

Longitudinal zone boundary X phonon frequencies have been calculated by a first principles pseudopotential method for III-V zincblende semiconductors AlP, AlAs, AlSb, GaP, GaAs, GaSb, InP, InAs and InSb. The phonon frequencies have been evaluated from total energy calculations in the frozen phonon approximation. The calculated phonon frequencies agree very well with the experimental values.

1ST PRINCIPLE CALCULATIONS OF QUASI-PARTICLE ENERGIES FOR BAND STRUCTURES OF SEMICONDUCTORS

We successfully applied the Green function theory in GW approximation to calculate the quasiparticle energies for semiconductors Si and GaAs. Ab initio pseudopotential method was adopted to generate basis wavefunctions and charge densities for calculating dielectric matrix elements and electron self-energies. To evaluate dynamical effects of screened interaction, GPP model was utilized to extend dieletric matrix elements from static results to finite frequencies. We give a full account of the theoretical background and the technical details for the first principle pseudopotential calculations of quasiparticle energies in semiconductors and insulators. Careful analyses are given for the effective and accurate evaluations of dielectric matrix elements and quasiparticle self-energies by using the symmetry properties of basis wavefunctions and eigenenergies. Good agreements between the calculated excitation energies and fundamental energy gaps and the experimental band structures were achieved.

仿射非线性系统的广义逐点最小范数控制

在Freeman的逐点最小范数控制器的基础上,提出了一种新的非线性控制器设计框架-广义逐点最小范数控制器,并证明了其连续性.通过一个引导函数,新的控制器可以和其他的控制器设计策略结合,从而大大提高了控制器设计的灵活性.另外,给出了新方法的两个应用:改善局部线性化控制器稳定域较小的缺陷;及和其它控制器设计方法结合,使之能够简单有效地处理具有输入约束的系统.

基于SVD和能量最小原则的图像自适应降噪算法

基于奇异值分解和能量最小原则,提出了一种自适应图像降噪算法,并给出了基于有界变差的能量降噪模型的代数形式。通过在矩阵范数意义下求能量最小,自适应确定去噪图像重构的奇异值个数。该算法的特点是将能量最小法则和奇异值分解结合起来,在代数空间中建立了一种自适应的图像降噪算法。与基于压缩比和奇异值分解的降噪方法相比,由于该算法避免了图像压缩比函数及其拐点的计算,因此具有快速去噪和简单可行的优点。实验结果证明,该算法是有效的。

连续型联想细胞神经网络局部指数稳定性研究

由于细胞神经网络的潜在应用前景 ,它现已成为神经网络研究的新热点。首先给出连续型联想细胞神经网络的数学模型 ,得到了连续型细胞神经网络平衡点局部指数稳定的充要条件及平衡点指数吸引域的估计 ,研究表明对平衡点的指数吸引域的估计 ,只要计算平衡点处的导算子矩阵的对数范数即可。该研究对连续型联想细胞神经网络的设计和应用均有重要的作用。

7000米载人潜水器推进器故障容错控制分配研究

介绍了7000米载人潜水器推进系统的组成和推进器布置,描述了潜水器控制分配问题,对推进器推力和期望控制量进行了归一化处理.根据载人潜水器的推进器布置,建立了系统的控制分配模型,设计了推进器故障容错处理策略,研究了基于推力最小二范数的载人潜水器控制分配求解方法.采用基于伪逆矩阵与定点分配的混合控制分配求解算法,在半物理仿真平台上实验验证了控制分配求解算法的正确性和有效性.

基于动力学约束的机械臂最优关节轨迹规划

本文提出了基于机械臂关节驱动力矩约束方程规划其关节最优运动轨迹的一种有效方法.该方法运用矩阵范数理论简化机械臂的动力学约束方程;在机械臂的关节空间内采用归一化的无因次量运用非线性规划法优化其运动轨迹.将所规划的无因次量轨迹方程作为机械臂产生实际运动轨迹的发生器,通过给定机械臂各运动段的起始和终止关节坐标,由系统的动力学约束方程计算出整个运动段所允许的最短运行时间,即生成所期望的运动轨迹.本文的轨迹规划方法计算效率高,可用于在线轨迹规划,文中通过算例证实了该方法的实用性.

油气勘探风险评价与决策技术研究

PetroChina and other national petroleum incorporations need rigorous procedures and practical methods in risk evaluation and exploration decision at home and abroad to safeguard their international exploration practice in exploration licence bidding, finding appropriate ratio of risk sharing with partners, as well as avoiding high risk projects and other key exploration activities. However, due to historical reasons, we are only at the beginning of a full study and methodology development in exploration risk evaluation and decision. No rigorous procedure and practical methods are available in our exercises of international exploration. Completely adopting foreign procedure, methods and tools by our national incorporations are not practical because of the differences of the current economic and management systems in China. The objective of this study is to establish a risk evaluation and decision system with independent intellectual property right in oil and gas exploration so that a smooth transition from our current practice into international norm can take place. The system developed in this dissertation includes the following four components: 1. A set of quantitative criteria for risk evaluation is derived on the basis of an anatomy of the parameters from thirty calibration regions national wide as well as the characteristics and the geological factors controlling oil and gas occurrence in the major petroleum-bearing basins in China, which provides the technical support for the risk quantification in oil and gas exploration. 2. Through analysis of existing methodology, procedure and methods of exploration risk evaluation considering spatial information are proposed. The method, utilizing Mahalanobis Distance (MD) and fuzzy logic for data and information integration, provides probabilistic models on the basis of MD and fuzzy logic classification criteria, thus quantifying the exploration risk using Bayesian theory. A projection of the geological risk into spatial domain provides a probability map of oil and gas occurrence in the area under study. The application of this method to the Nanpu Sag shows that this method not only correctly predicted the oil and gas occurrence in the areas where Beibu and Laoyemiao oil fields are found in the northwest of the onshore area, but also predicted Laopu south, Nanpu south and Hatuo potential areas in the offshore part where exploration maturity was very low. The prediction of the potential areas are subsequently confirmed by 17 exploration wells in the offshore area with 81% success, indicating this method is very effective for exploration risk visualization and reduction. 3. On the basis of “Methods and parameters of economic evaluation for petroleum exploration and development projects in China”, a ”pyramid” method for sensitivity analysis was developed, which meets not only the need for exploration target evaluation and exploration decision at home, but also allows a transition from our current practice to international norm in exploration decision. This provides the foundation for the development of a software product “Exploration economic evaluation and decision system of PetroChina” (EDSys). 4. To solve problem in methodology of exploration decision, effort was made on the method of project portfolio management. A drilling decision method was developed employing the concept of geologically risked net present value. This method overcame the dilemma of handling simultaneously both geological risk and portfolio uncertainty, thus casting light into the application of modern portfolio theory to the evaluation of high risk petroleum exploration projects.

表面相关多次波衰减方法与应用研究

The function of seismic data in prospecting and exploring oil and gas has exceeded ascertaining structural configuration early. In order to determine the advantageous target area more exactly, we need exactly image the subsurface media. So prestack migration imaging especially prestack depth migration has been used increasingly widely. Currently, seismic migration imaging methods are mainly based on primary energy and most of migration methods use one-way wave equation. Multiple will mask primary and sometimes will be regarded as primary and interferes with the imaging of primary, so multiple elimination is still a very important research subject. At present there are three different wavefield prediction and subtraction methods: wavefield extrapolation; feedback loop; and inverse-scattering series. I mainly do research on feedback loop method in this paper. Feedback loop method includs prediction and subtraction.Currently this method has some problems as follows. Firstly, feedback loop method requires the seismic data used to predict multiple is full wavefield data, but usually the original seismic data don’t meet this assumption, so seismic data must be regularized. Secondly, Multiple predicted through feedback loop method usually can’t match the real multiple in seismic data and they are different in amplitude, phase and arrrival time. So we need match the predicted multiple and that in seismic data through estimating filtering factors and subtract multiple from seismic data. It is the key for multiple elimination how to select a correct matching filtering method. There are many matching filtering methods and I put emphasis on Least-square adaptive matching filtering and L1-norm minimizing adaptive matching filtering methods. Least-square adaptive matching filtering method is computationally very fast, but it has two assumptions: the signal has minimum energy and is orthogonal to the noise. When seismic data don’t meet the two assumptions, this method can’t get good matching results and then can’t attenuate multiple correctly. L1-norm adaptive matching filtering methods can avoid these two assumptions and then get good matching results, but this method is computationally a little slow. The results of my research are as follows: 1. Proposed a method that interpolates seismic traces based on F-K migration and demigration. The main advantage of this method is that it can interpolate seismic traces in any offsets. It shows this method is valid through a simple model. 2. Comparing different Least-square adaptive matching filtering methods. The results show that equipose multi-channel adaptive matching filtering methods can get better results of multiple elimination than other matcing methods through three model data and two field data. 3. Proposed equipose multi-channel L1-norm adaptive matching filtering method. Because L1-norm is robust to large amplitude differences, there are no assumption on the signal has minimum energy and orthogonality, this method can get better results of multiple elimination. 4. Research on multiple elimination in inverse data space. The method is a new multiple elimination method and it is different from those methods mentioned above.The advantages of this method is that it is simple in theory and no need for the adaptive subtraction and computationally very fast. The disadvantage of this method is that it is not stabilized in its solution. The results show that equipose multi-channel and equipose pesudo-multi-channel least-square matching filtering and equipose multi-channel and equipose pesudo-multi-channel L1-norm matching filtering methods can get better results of multiple elimination than other matcing methods through three model data and many field data.