Towards a unified recurrent neural network theory: The uniformly pseudo-projection-anti-monotone net

In the past decades, various neural network models have been developed for modeling the behavior of human brain or performing problem-solving through simulating the behavior of human brain. The recurrent neural networks are the type of neural networks to model or simulate associative memory behavior of human being. A recurrent neural network (RNN) can be generally formalized as a dynamic system associated with two fundamental operators: one is the nonlinear activation operator deduced from the input-output properties of the involved neurons, and the other is the synaptic connections (a matrix) among the neurons. Through carefully examining properties of various activation functions used, we introduce a novel type of monotone operators, the uniformly pseudo-projectionanti-monotone (UPPAM) operators, to unify the various RNN models appeared in the literature. We develop a unified encoding and stability theory for the UPPAM network model when the time is discrete. The established model and theory not only unify but also jointly generalize the most known results of RNNs. The approach has lunched a visible step towards establishment of a unified mathematical theory of recurrent neural networks.     

基于改进的主动控制法实现混沌系统广义投影同步

通过引进特殊矩阵构造并基于Lyapunov稳定性理论,提出了一种改进的主动控制法来实现混沌系统的广义投影同步.改进后的主动控制不依赖于罗斯-霍维兹判据,与未改进的主动控制相比,简化了相关运算步骤和复杂度.通过对混沌能源系统和Nuclear Spin Generator系统的研究,并与其他同步方法进行比较,说明了该方法具有简单,直观,稳健,高效等优点,且对混沌系统的自结构和异结构广义投影同步均适用.数值模拟的结果进一步表明了该方法的有效性和理论分析的正确性. 关键词： 改进的主动控制 广义投影同步 特殊矩阵构造     

离轴三反红外双波段景象模拟器光学系统设计

 针对红外双波段成像系统性能测试与评估的应用需求,设计了3 μm～5 μm和8 μm～12 μm红外双波段视景仿真用离轴三反光学系统。在共轴三反光学系统成像理论基础上,分析了孔径光栏远离主镜的离轴三反系统像差特性,研究了大出瞳距、大相对孔径条件下离轴三反光学系统的结构设计和像差平衡方法。系统焦距为330 mm,F#为3,视场为6°×4.5°,出瞳距为750 mm,在空间频率10 lp/mm 处,中波红外MTF>0.65,长波红外MTF>0.4,接近衍射极限。具有大视场、大出瞳距、高分辨率、结构紧凑等特点。     

基于无信息变量和偏最小二乘投影分析的高光谱散射图像最优波段选择

提出了一种无信息变量消除和偏最小二乘投影分析相结合的苹果高光谱散射图像最优波段选择方法.经该算法提取后的波段降为全谱的26%,将选择后的波段作为输入变量建立了苹果硬度的偏最小二乘预测模型.预测均方根误差由6.00N降为5.73N,相关系数也有所提高,并与遗传算法作了比较.结果表明,该算法能有效消除原光谱矩阵中冗余的信息...     

中波红外景象投影光学系统消热差设计

针对红外成像系统性能测试与评估的应用需求,设计了一套基于数字微镜器件的消热差的中波红外景象投影光学系统.探讨了红外视景仿真用投影光学系统的像差特性和设计方法,并对投影系统的无热化进行了分析.采用分光板和补偿板方案,解决了大相对孔径条件下投影系统的远心照明分光和像差平衡问题,提高了分辨率和均匀性,增大了视场.系统由远心投...     

光栅投影相位法系统模型及标定方法

本文针对传统投影光栅相位法的光学三角法模型进行了改进,采用直入射光路并配合使用一种简便易行的标定方法,只需使用相移公式求取相位差,而不会引入与系统几何位置关系有关的量,简化了求取高度矩阵的要求。实验结果表明,新系统模型精度良好,测量误差为0.107 mm。采用该模型和标定方法可以克服传统方法系统模型的局限性,最大限度减少误差源并提高抗干扰性。     

基于交比不变性的投影仪标定

提出了一种新的投影仪标定方法以提高数字光栅投影三维测量中投影仪标定的准确性。该方法结合二次投影技术和交比不变性进行投影仪标定。采用二次投影技术解决投射图案与标定板图案互相干扰的问题;采用交比不变性以避免引入相机的标定误差。接着进行了对比实验,以验证所提方法的有效性。选取需要相机参数的传统投影仪标定方法以及根据全局单应性的投影仪标定方法作为对比方法。结果显示,本方法的反投影误差标准差分别从(0.2275,0.2264)像素和(0.1397,0.0997)像素降低到(0.0645,0.0601)像素,反投影误差的最大值分别从1.222像素和0.5617像素降低到0.2421像素。另外,该方法还可同时标定相机,从而获得整个三维测量系统的参数。本文提出的方法可以避免相机标定参数的误差传递,提高投影仪的标定精度。     

析“巧构等比数列一赛题及其变式与推广”一文之错

2011年第一期高中版P33文[1]给出了五个例题,其中有些例题的结论是错误的,列举如下:例1(第31届西班牙数学奥林匹克试     

Multi-radius centralized projection for binary pattern histogram face recognition

The existing local binary pattern （LBP） operators have several disadvantages such as rather long histograms, lower discrimination, and sensitivity to noise. Aiming at these problems, we propose the central- ized binary pattern （CBP） operator. CBP operator can significantly reduce the histograms＇ dimensionality, offer stronger discrimination, and decrease the white noise＇s influence on face images. Moreover, for in- creasing the recognition accuracy and speed, we use multi-radius CBP histogram as face representation and project it onto locality preserving projection （LPP） space to obtain lower dimensional features. Experiments on FERET and CAS-PEAL databases demonstrate that the proposed method is superior to other modern approaches not only in recognition accuracy but also in recognition speed.