数据旋转后pca的pca主成分分析法方向变了吗

PCA主成分分析原理及应用_百度文库
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PCA主成分分析原理及应用
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参考文献:http://en.wikipedia.org/wiki/Principal_component_analysis
1. 提出:主成分变换PCA在1901年由Karl Pearson提出,用于分析数据及建立数理模型。
2. 其方法主要是通过对协方差矩阵(相关系数矩阵)进行特征分解,以得出数据的主成分(特征向量)与它们的权值(特征值)。PCA是最简单的以特征量分析多元统计分布的方法。经常用于减少数据集的维数,同时保持数据集的对方差贡献最大的特征,这是通过保留低阶主成分,忽略高阶主成分做到的。
3. 实现过程(遥感数据):
主成分变换PCA在数学上定义为将数据变换到新坐标系中的正交线性变换,使得这一数据的任何投影的第一方差在第一个坐标(第一主成分)上,第二大方差在第二个坐标(第二主成分上)
1)分别计算n个通道的均值和方差
2)生成n个通道对应的n*n的协方差矩阵
3)求该协方差矩阵的特征值和特征向量,特征向量即为主成分分量、特征值为其对应的权值
4)根据实际需要,选取前m(m&=n)个主成分进行主成分变换
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pca主成分分析
PCA(Principal Component Analysis),称主成分分析,从统计学的角度来说是一种多元统计方法。PCA通过将多个变量通过线性变换以选出较少的重要变量。它往往可以有效地从过于“丰富”的数据信息中获取最重要的元素和结构,去除数据的噪音和冗余,将原来复杂的数据降维,揭示隐藏在复杂数据背后的简单结构。近年来,PCA方法被广泛地运用于计算机领域,如数据降维、图像有损压缩、特征追踪等等。
在人脑的生理特征中,人脑对外界的认知手段多样,导致人获取的信息维数过高。如果人脑不对获取的信息进行降维处理,那么人脑对信息处理的效率和精准度都会下降,因此人脑对这些感知神经处理时,均通过了复杂的降维处理。
PCA 方法广泛运用于从神经科学到计算机图形学的数据分析。因为它是一种简单的非参方法,能够从复杂的数据集中提取出数据相关信息。我们进行主成分分析的动机是 希望计算出一个含有噪音数据空间的最重要的基,来重新表达这个数据空间。但是这些新基往往隐藏在复杂的数据结构中,我们需要滤除噪音来找到重构出数据空间 的新基。
PCA 方法是一个高普适用方法,它的一大优点是能够对数据进行降维处理,我们通过PCA方法求出数据集的主元,选取最重要的部分,将其余的维数省去,从而达到降 维和简化模型的目的,间接地对数据进行了压缩处理,同时很大程度上保留了原数据的信息,就如同人脑在感知神经处理时进行了降维处理。
所以在机器学习和模式识别及计算机视觉领域,PCA方法被广泛的运用。
在人脸识别中,假设训练集是30幅不同的N×N大小的人脸图像。把图像中每一个像素看成是一维信息,那么一副图像就是N2维 的向量。因为人脸的结构有极大的相似性,如果是同一个人脸的话相似性更大。而我们的所希望能够通过人脸来表达人脸,而非用像素来表达人脸。那么我们就可以 用PCA方法对30幅训练集图像进行处理,寻找这些图像中的相似维度。我们提取出最重要的主成份后,让被识别图像与原图进行过变化后的主元维度进行相似度 比较,以衡量两幅图片的相似性。
在 图像压缩方面,我们还可以通过PCA方法进行图像压缩,又称Hotelling或者Karhunen and Leove变换。我们通过PCA提取出图像的主分量,去除掉一些次分量,然后变换回原图像空间,图像因为维数的降低得到了很大程度上的压缩,同时图像还很 大程度上保留了原图像的重要信息。
PCA方法其实就是将数据空间通过正交变换映射到低维子空间的过程。而相应的基向量组应满足正交性且由基向量组构成的地位子空间最优地考虑了数据的相关性。在原数据集变换空间后应使单一数据样本的相互相关性降低到最低点。
图1 红点代表原始数据点;绿点代表被映射到低维空间后的点;紫线代表映射平面。
方差最大化
上面我们说过PCA方法的过程其实是寻找低维子空间的过程。那么什么样的低维空间才符合我们要求的呢。因为我们希望被映射后的数据之间的相关性降低到最低点,所以我们可以采取求解被映射后方差最大化的最优策略来找到低维空间。
假设我们有N个样本数据{xn},每个样本数据是D维,我们希望样本数据映射到M&D维的子空间,并且使映射后的数据方差最大化。为了使问题简单化,我们令M=1,即映射到1维空间。我们设低维空间的方向向量为D维单位向量u1,并且具有正交性,即u1Tu1=1。那么每一个样本数据点xn被映射到1维空间后就表示成了u1Txn。我们令原始N个样本数据均值向量为
那么映射后的数据方差就为:
注:此处S为原始数据集的协方差矩阵
我们所希望的低维空间是能使等式(2)值最大的空间,即方差最大化。那么问题就转化为求解等式(2)的最大值。
因为u1向量是正交向量,所以我们引入拉格朗日乘子法求解等式(2)得最大值。构造条件限制等式:
由高等数学知识可知,我们要求解关于u1的等式(4)的最大值,只需要令(4)对u1求导令其等于0,得:
由线形代数知识可知,必为协方差矩阵的特征值,而u1为其对应的特征向量。
我们将由1维情况扩展到M&1维情况,协方差矩阵S应该有M个特征特征值:,其对应的特征向量应为:u1,…,un。
误差最小化
PCA的另一种构造形式是基于误差最小化。
我们引入D维完备正交基向量组,即
所以我们可以用完备正交基向量来线形表示样本数据集中的每一个数据xn,
充分利用根据等式(6)的正交属性,利用等式(7)可得系数 ,反代回等式(7),可得等式:
我们来看,表达等式(8)需要D维信息,而我们的目的是希望用M&D维信息近似地表达出xn:
代表的是数据点的特殊分量,而bi代表的是所有数据点的所共有的分量。我们构造一个目标函数:
其通俗的含义是我们希望通过M维表达的出的数据点逼近D维样本数据点,这里我们采用欧式距离衡量两个数据点的相似性。那么我们的问题又转化为最小化目标函数J。通过求导,我们可以得出:
反代回等式(10),得:
因此我们只要找寻协方差矩阵S的D-M个最小特征值就可。
SVD奇异值分解
PCA方法中对于协方差矩阵的分解,提取主成分,采用两种方法:
特征值分解。该种方法有一定局限性,分解的矩阵必须为方阵。
SVD奇异值分解。
奇异值分解是线性代数中的一种重要的矩阵分解方法,在信号处理、统计学等领域都有重要的应用。奇异值分解可以将一个比较复杂的矩阵分解为几个更小更简单的子矩阵相乘的形式来表达,而这些子矩阵描述的是原矩阵的重要的特性。
对于一个M×N大小的矩阵A来说,总是可以分解为:
其中U和V分别是AAT和ATA的特征向量,而则是他们的特征根。在PCA方法中,我们选取P个最大特征根及其所对应的特征向量,对A进行逼近:
线性代数理论证明:A与A’在最小二乘法的意义下是逼近的。而当P越接近N,则逼近的结果越接近于原矩阵。所以当我们选取的P远小于N时,所需要存储的信息量就会越小,达到了降维和压缩的目的。
PCA的图像压缩应用:
程序实现步骤:
将输入图像分解为4×4的16维的块。
构造一个观察样本数据矩阵,每列为一个块,每列为16维。
计算样本协方差矩阵。
4 将样本协方差矩阵进行特征根和特征向量分解。
选取前几个最大特征根,然后重构原图像。
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