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2d-pca (two-dimensional PCA)

image, (I = 1, 2... c; j = 1, 2 ..., ni), the mean of the class I projection feature vector is, within the projection space, the nearest classification rule is: if the sample y meets: At the same time, the minimum distance classification rule is: If sample y meets Just compile it: Allsamples = []; Global Pathname; Global Y; Global X; Global P; Global Train_num; Global M; Global N; m = 112 ; % Rown = 92 ; % Columntrain_num =200 ; Gt = Zeros (n, n); pathname = ' C: \

Matrix feature value problems-power method and Inverse Power Method

-power method. Basically, I can follow this idea to write it down smoothly. I wrote it myselfCodePut it in the idempotence (this is one of the reasons why I later gave up using my own anti-idempotence ). The algorithm I wrote can also be used for exercises, and the matrix with smaller sizes cannot be seen, but it is unreliable to solve large-scale matrices, therefore, this is just a record of your work. Later, I found that the problem I solved was not to find the feature values of a general la

The analysis of MDS multidimensional scaling multidimensional scale method and MATLAB realization in pattern recognition

here:Step 2: Solving by matrix methodWe also see that the wiki finally says that solution with eigendecompositions is the eigenvalue decomposition.Here is a detailed explanation of how it is done.Turn 4 mds ppt (from your own class teacher's ppt):Explaining it is actually very simple:1) constructs a matrix T, and then finds that the T matrix can be calculated entirely from D.2) t this matrix can be decomposed ah, then the inside eigenvalue if greater than or equal to 0, you can open the square

Principal component analysis of Python remote sensing data

Original: http://www.cnblogs.com/leonwen/p/5158947.html  The algorithm is ported by MATLAB (see the previous blog post for details). But the final output is inconsistent with MATLAB, it is found that in the invocation of the internal function Eig to solve eigenvalues and eigenvectors, both eigenvalues are consistent, but the eigenvectors are different.But, theoretically, it makes sense, because eigenvectors are inherently non-unique. The most puzzling

Getting started with Numpy in Python

follows:>>> A = np. ones (2, 2 ))>>> B = np. eye (2)>>> Print np. vstack (a, B ))[[1. 1.][1. 1.][1. 0.][0. 1.]>>> Print np. hstack (a, B ))[[1. 1. 1. 0.][1. 1. 0. 1.] Check whether the two functions involve the shortest copy problem:Copy codeThe Code is as follows:>>> C = np. hstack (a, B ))>>> Print c[[1. 1. 1. 0.][1. 1. 0. 1.]>>> A [1, 1] = 5>>> B [1, 1] = 5>>> Print c[[1. 1. 1. 0.][1. 1. 0. 1.]We can see that the change of elements in a and B does not affect c. Deep copy Array The array obje

[Machine Learning Notes] Introduction to PCA and Python implementations

matrix matrices, and the column represents the feature, where the percentage represents the variance ratio of the number of features required before taking the default to 0.9" "defPCA (datamat,percentage=0.9): #averaging for each column, because the mean value is subtracted from the calculation of the covarianceMeanvals=mean (datamat,axis=0) meanremoved=datamat-meanvals#CoV () Calculating varianceCovmat=cov (meanremoved,rowvar=0)#using the Eig ()

Jquery-get-data (Width,height,position, (top,left), scrolltop,scrollleft) Get data

the inner area width of the first matched element (including padding, excluding borders).Here is an example:CSS code block style type="Text/css"> . Div{ width: px ; Height: + px ; background-color: Green ; padding: tenpx ; Border: px solid #009999 ; margin: px ;} style>jquery code block $(function(){ console.log($(‘div‘).width()+‘+‘+$(‘div‘).innerWidth()+‘+‘+$(‘div‘).outerWidth()); var k = $(‘div‘).height()+‘+‘+ $(‘div‘).innerHeight()+‘+‘+$(‘div‘).outerHeight()+

Variable groups inherit immutable groups, add, delete, change, search, replace

#define NSLOG (FORMAT, ...) fprintf (stderr, "%s\n", [[NSString Stringwithformat:format, # #__VA_ARGS__] utf8string]);#import int main (int argc, const char * argv[]) {@autoreleasepool {Variable groups inherit immutable groups1, create. Set the number of elements to createNsmutablearray *arr=[nsmutablearray Arraywithcapacity:7];2. Add an element to the arrayNsarray *[email protected][@ "Mon", @ "Tue", @ "Wed", @ "Thu", @ "Fri", @ "sat", @ "Sun"];//immutable variable groupNsmutablearray *arr2=[ns

Create an array

#import int main (int argc, const char * argv[]) {@autoreleasepool {Create an array1. Quickly create an array @[]Nsarray *[email protected][@ "MON", @ "TUE", @ "WED", @ "THU", @ "FRI", @ "SAT", @ "SUN"];2. Create an empty arrayNsarray *arr=[[nsarray Alloc]init];Nsarray *arr1=[nsarray Array];Note end of array using nil (null) to finish cannot be deletedNsarray *arr2=[nsarray arraywithobjects:@ "Apple", @ "pear", @ "banana", nil];Nsarray *arr3=[nsarray arraywithobject:@ "B"];CopyNsarray *newarr=[n

oc-variable array inheritance immutable variables group

#import int Main (int argc, const Char * argv[]) { @autoreleasepool { // variable array inheritance immutable variable group //1. Create A set number of elements to create nsmutablearray *mutarr=[nsmutablearray arraywithcapacity:7]; //2. add an element to an array nsarray *arr=@[@ "MON",@ "TUE",@ "WED",@ "THU",@ "FRI", @ "SAT",@ "SUN"]; nsmutablearray *mutarray=[nsmutablearray arraywitharray: arr]; [Mutarray addobject:@ "EIG

Add an element to the array (replace delete insert)

#import int main (int argc, const char * argv[]) {@autoreleasepool {Variable groups inherit immutable groups1. Create a set number of elementsNsmutablearray *mutarr=[nsmutablearray Arraywithcapacity:7];2. Add an element to the arrayNsarray *[email protected][@ "MON", @ "TUE", @ "WED", @ "THU", @ "FRI", @ "SAT", @ "SUN"];Nsmutablearray *mutarray=[nsmutablearray Arraywitharray:arr];[Mutarray addobject:@ "EIG"];3. Insert the element according to the spec

Detection of vertex in opencv for python

The Python operation can find the pixel point in an image. For example, a white pixel with black pixels will be found. import cv2.cv as cv # load imagefilename = ".. /Video/cat.jpg "image = cv. loadImage (filename) # create one windowwin_name = "test" cv. namedWindow (win_name) win2_name = "test2" cv. namedWindow (win2_name) cv. showImage (win2_name, image) # set created imagesize = cv. getSize (image) # (100,100) depth = 8 channels = 1 # gray operategrey = cv. createImage (size, depth, channels

[Mathematical model] python Implementation of principal component analysis

[Mathematical model] python Implementation of principal component analysis Def pca (dataMat, topNfeat = 9999999): # data matrix. The top feat meanVals = mean (dataMat, axis = 0) is output) # calculate the average meanRemoved = dataMat-meanVals covMat = cov (meanRemoved, rowvar = 0) # Calculate the covariance matrix eigVals, eigVects = linalg. eig (mat (covMat) # feature value, eigValInd = argsort (eigVals) # Sort To find the largest feature value. in

Advanced NumPy of Python data analysis

-meanvals3) find out the covariance matrix of the Matrix after averaging>>> Covmat=np.cov (meanremove, rowvar=0)4) the eigenvalues and eigenvectors of the covariance matrix are obtained, and the Eig function in the NumPy library is Used.>>> Eigvals,eigvects=np.linalg.eig (np.mat (covmat))>>> eigvalsArray ([1.20374494e+01, 3.44539806e+00, 1.01715252e+00,-1.59662646e-16, 1.21625562e-16])>>> eigvectsMatrix ([[[0.20502268, 0.21893499,-0.80686681, 0.450186

Implementation of PCA algorithm in MATLAB

function [V,s,e]=princa (x) [M,n]=size (x); The% calculates the row m and column n% of the matrix-------------the first step: the normalized matrix-----------------%mv=mean (X); % calculates the mean value of each variable st=std (X); % calculates the standard deviation of each variable x= (X-repmat (mv,m,1))./repmat (st,m,1); % normalized matrix x-------------Second step: Calculate the correlation coefficient matrix-----------------percent r1=x ' *x/(m-1); % method One: Covariance matrix calcul

C + + implementation of Grid watermark debug Note (iv)--complete embedding

The next problem is that when the model is symmetric, the result is expected, but when the model is asymmetrical, the result is wrong, as follows:Input: Vertex: 233Output:What the hell is this? , Where's my horse!!!There seems to be a logical error.Note that the debug information for the C + + output is as follows:The error message is: Input to EIG must not contain NaN, then a bunch of hot hot ...There is also a hint: Matrix is close to singular or ba

Using Python for data analysis--numpy basics: Arrays and Vector computing

product of all elements Methods for arrays of Boolean types#True直接当1计算In [24]: (arr2dSort Np.sort () This will copy a copy. Arr2d.sort () is the operation on the source data 5. Input and output for array filesTo save an array to disk in binary form Np.save () Np.load () accessing text files Np.loadtext () Np.savetext () 6. Linear algebra is not found when the Numpy.linalg Note: Transpose arr. T Np.dot (ARR1,ARR2) The produc

Principal component Analysis PCA study notes

(X) print (pca.explained_ Variance_ratio_) Test and test with a dataset of your own makingThe program extracts a characteristic value to reduce the dimensionality of two-dimensional data Using PCA algorithm to reduce dimension of testSet.txt data set Import NumPy as NP import Matplotlib.pyplot as Plt def loaddataset (filename, delim= ' \ t '): FR = open (filename) S Tringarr = [Line.strip (). Split (Delim) for line in Fr.readlines ()] Datarr = [Map (float, line) for line in Stringarr] Ret

In VC use MATLAB/C + + function library

converted to C + + code, and the command line parameters are as follows:Generate C File: Mcc–t–l C x.mGenerate C + + files: mcc–t–l Cpp x.mGenerate dynamic link library functions: mcc–t–w lib:y–t link.lib x.m (Y for generated link file name)4. To import a link library: #pragma comment (lib, "libmatlb.lib") #pragma comment (lib, "libmx.lib") #pragma comment (lib, "libmatpm.lib")  // c++ maths library 5. The reference code is as follows: double d[] = { 1, 2, 3, 4 }; mwArray A(2, 2, d); mwArray

Spectral clustering (NJW algorithm matlab code)

(i,i)) * sqrt (d (j,j))) ; End end% calculates eigenvalue eigenvectors [eigvectors,eigvalues] = Eig (L); % selected before K maximum eigenvalue [eigvalues, Ind] = sort (diag (eigvalues), ' descend '); Neigvec =eigvectors (:, Ind (1:K)); % constructs a normalized matrix U from the obtained eigenvector U=zeros (size (neigvec,1), k); For I=1:size (neigvec,1) n = sqrt (sum (Neigvec (i,:). ^2)); U (i,:) = Neigvec (i,:). N End End Functio

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