基于独立成分分析的高光谱图像异常检测

针对高光谱图像中背景及目标先验知识未知条件下的异常目标检测问题,提出了一种基于独立成分分析(ICA)的异常探测算法.首先估计原始数据的虚拟维(VD)以确定要分离的独立成分个数,在此基础上进行快速独立成分分析(FastICA),然后基于平均局部奇异度选择含异常信息较多的独立成分,最后使用丰度量化算法得到异常目标的丰度图像...     

新课程背景下改进物理实验教学的实践与思考

物理新课程标准要求物理实验贴近学生生活,加强课程与学生生活和现实社会的联系.实验是培养学生动手能力的最佳途径,因此要尽可能地创造条件和不断改进,让学生亲自动手实验.笔者结合自己的实践与思考通过几个实例谈些关于新课程实验改进的做法.     

中学物理“第三教学”的研究与实践

论述了"第三教学"的基本内容,并结合我们10年来"第三教学"的实践及效果,讨论了"第三教学"的有关问题及其意义.     

Uniform estimate for the tail probabilities of randomly weighted sums

Several authors have studied the uniform estimate for the tail probabilities of randomly weighted sumsa.ud their maxima. In this paper, we generalize their work to the situation thatis a sequence of upper tail asymptotically independent random variables with common distribution from the is a sequence of nonnegative random variables, independent of and satisfying some regular conditions. Moreover. no additional assumption is required on the dependence structureof {θi,i≥ 1）.     

Schur Convexity for Two Classes of Symmetric Functions and Their Applications

For x =(x1, x2, ···, xn) ∈ Rn+∪ Rn-, the symmetric functions Fn(x, r) and Gn(x, r) are defined by r1 + xFij n(x, r) = Fn(x1, x2, ···, xn; r) =x1≤iij1i2···ir ≤n j=1and r1- xGij n(x, r) = Gn(x1, x2, ···, xn; r) =,x1≤i1i2···ir ≤n j=1ij respectively, where r = 1, 2, ···, n, and i1, i2, ···, in are positive integers. In this paper,the Schur convexity of Fn(x, r) and Gn(x, r) are discussed. As applications, by a bijective transformation of independent variable for a Schur convex function, the authors obtain Schur convexity for some other symmetric functions, which subsumes the main results in recent literature; and by use of the theory of majorization establish some inequalities. In particular, the authors derive from the results of this paper the Weierstrass inequalities and the Ky Fan's inequality, and give a generalization of Safta's conjecture in the n-dimensional space and others.     

Quasi-maximum likelihood estimators in generalized linear models with autoregressive processes

The paper studies a generalized linear model(GLM)y_t = h(x_t~T β) + ε_t,t = l,2,...,n,where ε_1 = η_1,ε_1 =ρε_t +η_t,t = 2,3,...;n,h is a continuous differentiable function,η_t's are independent and identically distributed random errors with zero mean and finite variance σ~2.Firstly,the quasi-maximum likelihood(QML) estimators of β,p and σ~2 are given.Secondly,under mild conditions,the asymptotic properties(including the existence,weak consistency and asymptotic distribution) of the QML estimators are investigated.Lastly,the validity of method is illuminated by a simulation example.     

破浪扬帆正当时——有感于中国珠算申遗成功

正"只有民族的,才是世界的。"中国珠算在2013年12月4日成功入选人类非物质文化遗产名录,这标志着具有中华民族深厚底蕴的珠算文化已经得到国际社会认可,同时也印证了珠算文化具有重要的现实价值,由此唤醒人们对珠算历史与文化的再认识、再思考,提醒我们要责无旁贷地对其加以保护、传承与发展,让中华民族这一特有的文化瑰宝更多地惠及人类、服务全球。     

变换思考视角引发的命题推广

解决一个数学问题常常不止一种方法,变换不同的思考角度就可能得到不同的解法.如果一道数学题由两个或三个小问题组成,前面问题的解决常常与后面的问题有一定的关联、影响或启示,其求解过程通常会对后面问题的解决产生影响,不同的视角可能会有不同的结果,下面以2014年江苏高考数学试卷第20题为例,体会一下不同思考视角引出的一个命题的推广过程.     

“龟兔赛跑”的数学思考

生活中的许多现象都蕴含着数学思想,而想要弄清事物的本质,有时从数学的角度分析才能有一个完美的解答,“龟兔赛跑”的故事想必大家耳熟能洋,但对其中的一个问题包含的数学思考却鲜为人知．故事中兔子先跑到前面,结果睡了一觉,醒来后发现龟到了前面,即使它努力追赶,最终也输了比赛,有人说,只要路够长,兔子一定能追上,那么有没有可能永远也追不上？     

两参数齐次独立增量过程在原点的局部性质

Ａｄｌｅｒ曾经给出了两参数独立增量过程的特征函数的一般形式．本文对齐次情形给出了更具体的表达式，引进了累积量的概念．在此基础上，研究了比值Ｘ（ｓ，ｔ）／ｓｔ在原点的分布，单调过程在原点的局部性质以及任意过程在原点的局部增长．由此得到了Ｂｒｏｗｎ单和不包含高斯分量的过程在原点的局部增长．