, reduce the accuracy, and through dimensionality reduction, we want to reduce the error caused by redundant information, improve the accuracy of identification (or other applications). Or we hope to find the intrinsic structural features of the data through the dimensionality reduction algorithm.In many algorithms, the reduced-dimension algorithm becomes a part of data preprocessing, such as PCA. In fact, there are some algorithms without dimensional
, contains redundant information and noise information, in the actual application of example recognition caused by error, reduce the accuracy, and through dimensionality reduction, we want to reduce the error caused by redundant information, improve the accuracy of identification (or other applications). Or we hope to find the intrinsic structural features of the data through the dimensionality reduction algorithm.In many algorithms, the reduced-dimension algorithm becomes a part of data preproc
The source of this article: Http://blog.csdn.net/xizhibei=============================PCA, also known as principalcomponents analysis , is a very good algorithm, according to the book:Looking for the projection method that best represents the original data in the least mean square senseAnd then his own argument is: mainly used for features of the dimensionality reductionIn addition, the algorithm also has a classic application: human face recognition.
The source of this article: Http://blog.csdn.net/xizhibei=============================PCA, also known as principalcomponents analysis , is a very good algorithm, according to the book:Looking for the projection method that best represents the original data in the least mean square senseAnd then his own argument is: mainly used for features of the dimensionality reductionIn addition, the algorithm also has a classic application: human face recognition.
EXERCISE:PCA and WhiteningNo. 0 Step: Data preparationUFLDL The downloaded file contains the dataset Images_raw, which is a 512*512*10 matrix, which is 10 images of 512*512(a) data-loadingUsing the Sampleimagesraw function, extract the numpatches image blocks from the Images_raw, each image block size is patchsize, and the extracted image blocks are stored in columns, respectively, in each column of the matrix patches, That is, patches (:, i) holds all the pixel values of the first image block(b
Later, sift had two extensions that used the PCA concept.
1. PCA-SIFT
The PCA-SIFT has the same sub-pixel location (sub-pixel), scale, and dominant orientations as the standard sift, but when the description is calculated in step 1, it uses 41 × 41 image spots around the feature points to calculate its principal component, and uses a
IntroductionPrincipal component Analysis (PCA) is a data dimensionality reduction algorithm which can greatly improve the learning speed of unsupervised features. More importantly, the understanding of PCA algorithm, the implementation of the whitening algorithm has a great help, many algorithms are first used whitening algorithm for preprocessing steps.Suppose you use an image to train the algorithm, becau
theoretical knowledge of K-L transformationK-L transformation is another common feature extraction method besides PCA, it has many forms, the most basic form is similar to PCA, it differs from PCA in that PCA is a unsupervised feature transformation, and K-L transform can take different classification information and r
Mathematics in Machine learning (4)-Linear discriminant analysis (LDA), principal component analysis (PCA)Copyright Notice:This article is published by Leftnoteasy in Http://leftnoteasy.cnblogs.com, this article can be reproduced or part of the use, but please indicate the source, if there is a problem, please contact [email protected]Objective:The second article talked about, and department Kroning out outing, he gave me quite a lot of machine learni
The main content of this article is from Andrew's book, linked to http://ufldl.stanford.edu/tutorial/unsupervised/PCAWhitening/ PCA
PCA, also known as principal component analysis, is a means of dimensionality reduction, which can significantly improve the speed of the algorithm.When you are working with an image, the input is usually redundant because the adjacent pixels in the image are often associated,
Abstract:
PCA (principal component analysis) is a multivariate statistical method. PCA uses linear transformation to select a small number of important variables. It can often effectively obtain the most important elements and structures from overly "rich" data information, remove Data Noise and redundancy, and reduce the original complex data dimension, reveals the simple structure hidden behind complex da
Copyright Notice:This article is published by Leftnoteasy in Http://leftnoteasy.cnblogs.com, this article can be reproduced or part of the use, but please indicate the source, if there is a problem, please contact [email protected]Objective:The second article talked about, and department Kroning out outing, he gave me quite a lot of machine learning advice, which involves many of the meaning of the algorithm, learning methods and so on. Yining last mention to me, if the learning classification a
Copyright Notice:This article is published by Leftnoteasy in Http://leftnoteasy.cnblogs.com, this article can be reproduced or part of the use, but please indicate the source, if there is a problem, please contact [email protected]Objective:The second article talked about, and department Kroning out outing, he gave me quite a lot of machine learning advice, which involves many of the meaning of the algorithm, learning methods and so on. Yining last mention to me, if the learning classification a
$ curve, select the descending speed of the sudden slow turning point as the K value, for the transition is not obvious curve, according to the K-means algorithm follow-up target selection.
Fig. 2 Global optimal solution and local optimal solutions of K-means algorithmFigure 3 cases where K values are selected using the Elbow method (left) and elbow (right)PCA Reduced Dimension Algorithm motivationData compression: Compress high-dimensional data
Copyright Notice:This article is published by Leftnoteasy in Http://leftnoteasy.cnblogs.com, this article can be reproduced or part of the use, but please indicate the source, if there is a problem, please contact [email protected]Objective:The second article talked about, and department Kroning out outing, he gave me quite a lot of machine learning advice, which involves many of the meaning of the algorithm, learning methods and so on. Yining last mention to me, if the learning classification a
GITHUB:PCA code implementation, PCA applicationThis algorithm is implemented using Python3
1. Data Dimension Reduction?? In the actual production life, we obtain the data set in the characteristic often has the very high dimension, the high dimension data processing time to consume is very big, and too many characteristic variable also can hinder the establishment of the Discovery law. We need to solve the problem of how to reduce the data dimen
What PCA needs to do is to de-noising and de-redundancy, the essence of which is the diagonalization covariance matrix.I. Pre-knowledge1.1 Covariance analysisFor the general distribution, the direct generation of E (X) and the like can be calculated, but really give you a specific numerical distribution, to calculate the covariance matrix, according to the formula to calculate, it is not easy to react. There is not much information on the Internet, he
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Preface:
Article 2ArticleHe gave me a lot of machine learning suggestions when he went out outing with the department boss, which involved a lotAlgorithmAnd learning methods. Yi Ning told me last time that if we learn classification algorithms, we 'd better start wi
Principal component Analysis (principal components ANALYSIS,PCA) is a simple machine learning algorithm, the main idea is to reduce the dimension of high-dimensional data processing, to remove redundant information and noise in the data.Algorithm:Input sample: D={x1,x2,⋯,xm} d=\left \{x_{1},x_{2},\cdots, x_{m}\right \}The dimension of low latitude space
Process: •1: All samples are centralized: Xi←xi−1m∑mi=1xi x_i\leftarrow x_i-\frac{1}{m}\sum_{i=1}^{
Principal Component Analysis (PCA) is a multivariate statistical analysis method that uses linear transformation to select a small number of important variables. It is also called Main Component analysis. In practice, many variables (or factors) related to this issue are often proposed for comprehensive analysis, because each variable reflects certain information of this topic to varying degrees. Principal component analysis is first introduced by K.
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