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Matlab code for principal component analysis

CLC; Clear all; A=xlsread (' C:\Users\d e l l\documents\matlab\problem four\problem-Two.xls ', ' c34:af61 '); A=size (a,1); B=size (a,2); For I=1:b SA (:, i) = (A (:, i)-mean (A (:, i)))/std (A (:, i)) ,%%% standard processing end Cm=corrcoef (SA); [V,d]=eig (CM); For j=1:b DS (j,1) =d (b+1-j,b+1-j); End for i=1:b DS (i,2) =ds (i,1)/sum (DS (:, 1)); DS (i,3) =sum (DS (1:i,1))/sum (DS (:, 1)); End t=0.85; For k=1:b if DS (k,3) >=t

A learning Summary of PCA Algorithms

covariance matrix; 2. Calculate the feature values of S and sort them in ascending order; 3. Select the feature vectors corresponding to the first n feature values to form a transformation matrix E = [E1, E2 ,..., En ']; 4. Finally, for each n-dimensional feature vector X can be converted to n-dimensional new feature vector Y: Y = transpose (E) (X-m) Finally, I have to do it myself to remember: I did it with Python numpy. If I do it with C, it's okay to look for things. It's too t

Matlab programming and application series-Chapter 1 matrix operations (2)

. pinv(X) Returns the pseudo-inverse B of matrix X. norm(X , ref) The ref specifies the type of the matrix or vector to be solved. cond(X, p) Returns the condition number of the P-norm of matrix X. If P = 2 corresponds to 2 norm [v,d]=eig(X) Calculate the matrix feature value and feature vector. If the equation XV = VD has a non-zero solution, V is the feature vector and D is the feature value.

Automatic Control Principle MATLAB Experiment

]; D = 0; G1 = SS (A, B, C, D) % Model 1 G2 = TF (G1) % Model 2 A = X1 X2 X3 X1-2 0 1 X2 0-1 0 X3 0 1 0 B = U1 X1 0 X2 2 X3 0 C = X1 X2 X3 Y1 2 0 0 D = U1 Y1 0 Continuous-time model. Transfer Function: 4 ----------------- S ^ 3 + 3 s ^ 2 + 2 S 4. Establish complex mathematical models For a negative feedback system, the forward channel is composed of G1 and G2, and the feedback channel is represented by H. G1 = TF ([1 7 24], [1 10 35 50 24]); G2 = TF ([10, 5], [1, 0]); H = TF ([1], [0.01,

[Mat] MATLAB matrix operations and functions

Matrix Creation I. Matrix Definition Example:> A = [1 2 3; 4 5 6; 7 8 9]1. The matrix is enclosed by square brackets []. 2. Elements in the same row of the matrix are separated by spaces or commas. 3. columns and rows are separated by semicolons. 4. Direct input., you can use carriage return to replace 2. assign values to matrix elements 1. assign values to matrix elements separately. Example:> X (5) = ABS (x (1 ))2. A large matrix can use a small matrix as its element. Example:> A = [A; 11 12 1

Analytic Hierarchy Process Model (AHP) and its MATLAB implementation

weight vector.Attention:In this case, it is possible to replace A with the eigenvector of the maximum feature root, possibly in order to maximize the amount of information (a) of the original data (not sure ...). )3. Conformance TestingConsistency test, the specific also involves the combination of consistency test.Third, the realization of MATLABHere first search the data, see this code, the code is very clear, here directly posted here.Clc;clear; A=[1 1.2 1.5 1.5;0.833 1 1.2 1.2;0.667 0.833

Optical Flow Method Optical Flow

(Size (G01)); Case 0, Dx = zeros (Size (G00)); Dy = zeros (Size (G00)); End Else Dx = expand (dx); dy = expand (dy); DX = dx. * 2; dy = dy. * 2; End switch (l) Case 4, W = Warp (G04, Dx, Dy); [Vx, Vy] = Estimatemotion (W, G14, half_window_size); Case 3, W = Warp (G03, Dx, Dy); [Vx, Vy] = Estimatemotion (W, G13, half_window_size); Case 2, W = Warp (G02, Dx, Dy); [Vx, Vy] = Estimatemotion (W, G12, half_window_size); Case 1, W = Warp (

Getting started with Numpy in Python

., 2.]) Merge arrays Use the vstack and hstack functions in numpy: The code is as 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: The 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

Summary of PCA Learning

eigenvectors of P, resulting in XX (k,1), resulting in a projection matrix Z (KXN) of X on K eigenvectors.5. Reconstruct xx with Z and compare with X to calculate the reconstruction error4. MATLAB implementation of PCA[V, E] = Eig (cov (X ')) [E index] = sort (Diag (e), ' descend '); v = V (:, index); Meanx = mean (X ') '; P=v (:, [1:k]) [r,c] = size (X); Y = P ' * (X-repmat (meanx,1,c)); [R,c] = size (Y); XX = P * Y + repmat (Meanx, 1, c);5. PCA mai

Nsmutablearray Basics-Create, add, delete, replace

1 #import2 3 intMainintargcConst Char*argv[]) {4 @autoreleasepool {5 //Create and set the number of array elements6Nsmutablearray *arr1=[nsmutablearray arraywithcapacity:7];7 //Copying an array8Nsarray *[email protected][@"Mon",@"Tue",@"Wed",@"Thu",@"Fri",@"Sat",@"Sun"];9Nsmutablearray *arr3=[Nsmutablearray arraywitharray:arr2];Ten //add an element to an array One[Arr3 AddObject:@"Eig"]; A //inserts an element according

Both ' s complement

11111 00000000-01001011----------10101 111111 00000000-01001011----------110101 1111111 00000000-01001 011----------0110101 11111111 00000000-01001011----------10110101 td> If We wanted we could go further, but there would is no point. Inside of a computer The result of this computation would is assigned to an eight bit variable, so any bits beyond the Eig HTH would be discarded.With the fact

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

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