Machine Learning Online Class

Exercise 5 | Regularized Linear Regression and Bias-Variance
Instructions
------------
This file contains code that helps you get started on the
exercise. You will need to complete the following functions:
linearRegCostFunction.m
learningCurve.m
validationCurve.m
For this exercise, you will not need to change any code in this file,
or any other files other than those mentioned above.

Initialization

clear ; close all; clc;

=========== Part 1: Loading and Visualizing Data =============

We start the exercise by first loading and visualizing the dataset.
The following code will load the dataset into your environment and plot
the data.
% Load Training Data
fprintf('Loading and Visualizing Data ...\n')
Loading and Visualizing Data ...
% Load from ex5data1:
% You will have X, y, Xval, yval, Xtest, ytest in your environment
load ('ex5data1.mat');
% m = Number of examples
m = size(X, 1);
% Plot training data
plot(X, y, 'rx', 'MarkerSize', 10, 'LineWidth', 1.5);
xlabel('Change in water level (x)');
ylabel('Water flowing out of the dam (y)');

=========== Part 2: Regularized Linear Regression Cost =============

You should now implement the cost function for regularized linear
regression.
theta = [1 ; 1];
J = linearRegCostFunction([ones(m, 1) X], y, theta, 1);
fprintf(['Cost at theta = [1 ; 1]: %f '...
'\n(this value should be about 303.993192)\n'], J);
Cost at theta = [1 ; 1]: 303.993192
(this value should be about 303.993192)

=========== Part 3: Regularized Linear Regression Gradient =============

You should now implement the gradient for regularized linear
regression.
theta = [1 ; 1];
[J, grad] = linearRegCostFunction([ones(m, 1) X], y, theta, 1);
fprintf(['Gradient at theta = [1 ; 1]: [%f; %f] '...
'\n(this value should be about [-15.303016; 598.250744])\n'], ...
grad(1), grad(2));
Gradient at theta = [1 ; 1]: [-15.303016; 598.250744]
(this value should be about [-15.303016; 598.250744])

=========== Part 4: Train Linear Regression =============

Once you have implemented the cost and gradient correctly, the
trainLinearReg function will use your cost function to train
regularized linear regression.
Write Up Note: The data is non-linear, so this will not give a great
fit.
% Train linear regression with lambda = 0
lambda = 0;
theta = trainLinearReg([ones(m, 1), X], y, lambda);
Iteration 1 | Cost: 1.052435e+02
Iteration 2 | Cost: 2.237391e+01
Iteration 3 | Cost: 2.237391e+01
Iteration 4 | Cost: 2.237391e+01
% Plot fit over the data
% 原始数据
plot(X, y, 'rx', 'MarkerSize', 10, 'LineWidth', 1.5);
xlabel('Change in water level (x)');
ylabel('Water flowing out of the dam (y)');
hold on;
% 拟合曲线
plot(X, [ones(m, 1), X] * theta, '--', 'LineWidth', 2)
hold off

=========== Part 5: Learning Curve for Linear Regression =============

Next, you should implement the learningCurve function.
Write Up Note: Since the model is underfitting the data, we expect to
see a graph with "high bias" -- Figure 3 in ex5.pdf
lambda = 0;
[error_train, error_val] = ...
learningCurve([ones(m, 1) X], y, ... % 原始训练集数据
[ones(size(Xval, 1), 1) Xval], yval, ... % 交叉验证集数据
lambda);
当前是第1个样本
Iteration 1 | Cost: 2.663868e-01
Iteration 2 | Cost: 3.944305e-31
Iteration 3 | Cost: 0.000000e+00
当前是第2个样本
Iteration 1 | Cost: 4.282328e-01
Iteration 2 | Cost: 8.295365e-30
Iteration 3 | Cost: 4.930381e-32
当前是第3个样本
Iteration 1 | Cost: 1.021540e+02
Iteration 2 | Cost: 3.286595e+00
Iteration 3 | Cost: 3.286595e+00
当前是第4个样本
Iteration 1 | Cost: 1.438726e+02
Iteration 2 | Cost: 1.035224e+02
Iteration 3 | Cost: 7.536716e+01
Iteration 4 | Cost: 1.615422e+01
Iteration 5 | Cost: 3.619255e+00
Iteration 6 | Cost: 2.843147e+00
Iteration 7 | Cost: 2.842791e+00
Iteration 8 | Cost: 2.842765e+00
Iteration 9 | Cost: 2.842679e+00
Iteration 10 | Cost: 2.842679e+00
Iteration 11 | Cost: 2.842679e+00
Iteration 12 | Cost: 2.842678e+00
Iteration 13 | Cost: 2.842678e+00
Iteration 14 | Cost: 2.842678e+00
Iteration 15 | Cost: 2.842678e+00
Iteration 16 | Cost: 2.842678e+00
Iteration 17 | Cost: 2.842678e+00
Iteration 18 | Cost: 2.842678e+00
Iteration 19 | Cost: 2.842678e+00
Iteration 20 | Cost: 2.842678e+00
Iteration 21 | Cost: 2.842678e+00
Iteration 22 | Cost: 2.842678e+00
Iteration 23 | Cost: 2.842678e+00
Iteration 24 | Cost: 2.842678e+00
Iteration 25 | Cost: 2.842678e+00
Iteration 26 | Cost: 2.842678e+00
Iteration 27 | Cost: 2.842678e+00
Iteration 28 | Cost: 2.842678e+00
Iteration 29 | Cost: 2.842678e+00
Iteration 30 | Cost: 2.842678e+00
Iteration 32 | Cost: 2.842678e+00
当前是第5个样本
Iteration 1 | Cost: 1.592641e+02
Iteration 2 | Cost: 2.404966e+01
Iteration 3 | Cost: 2.354137e+01
Iteration 4 | Cost: 2.281160e+01
Iteration 5 | Cost: 2.276969e+01
Iteration 6 | Cost: 2.224060e+01
Iteration 7 | Cost: 1.920606e+01
Iteration 8 | Cost: 1.475292e+01
Iteration 9 | Cost: 1.430565e+01
Iteration 10 | Cost: 1.388881e+01
Iteration 11 | Cost: 1.327330e+01
Iteration 12 | Cost: 1.323519e+01
Iteration 13 | Cost: 1.319411e+01
Iteration 14 | Cost: 1.317355e+01
Iteration 15 | Cost: 1.315411e+01
Iteration 16 | Cost: 1.315405e+01
Iteration 17 | Cost: 1.315405e+01
Iteration 18 | Cost: 1.315405e+01
Iteration 19 | Cost: 1.315405e+01
Iteration 20 | Cost: 1.315405e+01
Iteration 21 | Cost: 1.315405e+01
Iteration 22 | Cost: 1.315405e+01
Iteration 23 | Cost: 1.315405e+01
Iteration 24 | Cost: 1.315405e+01
Iteration 26 | Cost: 1.315405e+01
Iteration 27 | Cost: 1.315405e+01
当前是第6个样本
Iteration 1 | Cost: 1.531141e+02
Iteration 2 | Cost: 1.350947e+02
Iteration 3 | Cost: 1.137334e+02
Iteration 4 | Cost: 4.404199e+01
Iteration 5 | Cost: 2.957435e+01
Iteration 6 | Cost: 2.719561e+01
Iteration 7 | Cost: 1.949283e+01
Iteration 8 | Cost: 1.949128e+01
Iteration 9 | Cost: 1.945708e+01
Iteration 10 | Cost: 1.944472e+01
Iteration 11 | Cost: 1.944472e+01
Iteration 12 | Cost: 1.944471e+01
Iteration 13 | Cost: 1.944453e+01
Iteration 14 | Cost: 1.944425e+01
Iteration 15 | Cost: 1.944411e+01
Iteration 16 | Cost: 1.944396e+01
Iteration 17 | Cost: 1.944396e+01
Iteration 18 | Cost: 1.944396e+01
Iteration 19 | Cost: 1.944396e+01
Iteration 20 | Cost: 1.944396e+01
Iteration 21 | Cost: 1.944396e+01
Iteration 22 | Cost: 1.944396e+01
当前是第7个样本
Iteration 1 | Cost: 1.383936e+02
Iteration 2 | Cost: 1.210275e+02
Iteration 3 | Cost: 1.013004e+02
Iteration 4 | Cost: 3.457729e+01
Iteration 5 | Cost: 2.808710e+01
Iteration 6 | Cost: 2.732288e+01
Iteration 7 | Cost: 2.011513e+01
Iteration 8 | Cost: 2.011508e+01
Iteration 9 | Cost: 2.010693e+01
Iteration 10 | Cost: 2.010640e+01
Iteration 11 | Cost: 2.010629e+01
Iteration 12 | Cost: 2.010382e+01
Iteration 13 | Cost: 2.009852e+01
Iteration 14 | Cost: 2.009852e+01
Iteration 15 | Cost: 2.009852e+01
Iteration 17 | Cost: 2.009852e+01
Iteration 18 | Cost: 2.009852e+01
当前是第8个样本
Iteration 1 | Cost: 1.237772e+02
Iteration 2 | Cost: 1.202532e+02
Iteration 3 | Cost: 1.195134e+02
Iteration 4 | Cost: 9.334231e+01
Iteration 5 | Cost: 4.813526e+01
Iteration 6 | Cost: 2.650400e+01
Iteration 7 | Cost: 1.927314e+01
Iteration 8 | Cost: 1.826693e+01
Iteration 9 | Cost: 1.817331e+01
Iteration 10 | Cost: 1.817289e+01
Iteration 11 | Cost: 1.817288e+01
Iteration 12 | Cost: 1.817286e+01
Iteration 13 | Cost: 1.817286e+01
Iteration 14 | Cost: 1.817286e+01
Iteration 15 | Cost: 1.817286e+01
Iteration 16 | Cost: 1.817286e+01
Iteration 17 | Cost: 1.817286e+01
Iteration 19 | Cost: 1.817286e+01
Iteration 20 | Cost: 1.817286e+01
当前是第9个样本
Iteration 1 | Cost: 1.089984e+02
Iteration 2 | Cost: 1.064701e+02
Iteration 3 | Cost: 1.054742e+02
Iteration 4 | Cost: 2.266786e+01
Iteration 5 | Cost: 2.266786e+01
Iteration 6 | Cost: 2.266758e+01
Iteration 7 | Cost: 2.260941e+01
当前是第10个样本
Iteration 1 | Cost: 1.108611e+02
Iteration 2 | Cost: 2.497543e+01
Iteration 3 | Cost: 2.496421e+01
Iteration 4 | Cost: 2.494838e+01
Iteration 5 | Cost: 2.493176e+01
Iteration 6 | Cost: 2.490653e+01
Iteration 7 | Cost: 2.474422e+01
Iteration 8 | Cost: 2.326179e+01
Iteration 9 | Cost: 2.326179e+01
Iteration 10 | Cost: 2.326175e+01
Iteration 11 | Cost: 2.326174e+01
Iteration 12 | Cost: 2.326165e+01
Iteration 13 | Cost: 2.326147e+01
Iteration 14 | Cost: 2.326146e+01
Iteration 15 | Cost: 2.326146e+01
Iteration 17 | Cost: 2.326146e+01
Iteration 18 | Cost: 2.326146e+01
Iteration 19 | Cost: 2.326146e+01
Iteration 20 | Cost: 2.326146e+01
当前是第11个样本
Iteration 1 | Cost: 1.023394e+02
Iteration 2 | Cost: 2.443039e+01
Iteration 3 | Cost: 2.443033e+01
Iteration 4 | Cost: 2.442972e+01
Iteration 5 | Cost: 2.441042e+01
Iteration 6 | Cost: 2.435852e+01
Iteration 7 | Cost: 2.431735e+01
Iteration 8 | Cost: 2.431733e+01
Iteration 9 | Cost: 2.431727e+01
Iteration 10 | Cost: 2.431725e+01
当前是第12个样本
Iteration 1 | Cost: 1.052435e+02
Iteration 2 | Cost: 2.237391e+01
Iteration 3 | Cost: 2.237391e+01
Iteration 4 | Cost: 2.237391e+01
学习结束
plot(1:m, error_train, 1:m, error_val);
title('Learning curve for linear regression')
legend('Train', 'Cross Validation')
xlabel('Number of training examples')
ylabel('Error')
axis([0 13 0 150])
fprintf('# Training Examples\tTrain Error\tCross Validation Error\n');
# Training Examples Train Error Cross Validation Error
for i = 1 : m
fprintf(' \t%d\t\t%f\t%f\n', i, error_train(i), error_val(i));
end
1 0.000000 205.121096
2 0.000000 110.300366
3 3.286595 45.010231
4 2.842678 48.368911
5 13.154049 35.865165
6 19.443963 33.829962
7 20.098522 31.970986
8 18.172859 30.862446
9 22.609405 31.135998
10 23.261462 28.936207
11 24.317250 29.551432
12 22.373906 29.433818

=========== Part 6: Feature Mapping for Polynomial Regression =============

One solution to this is to use polynomial regression. You should now
complete polyFeatures to map each example into its powers
p = 8;
% Map X onto Polynomial Features and Normalize
X_poly = polyFeatures(X, p);
[X_poly, mu, sigma] = featureNormalize(X_poly); % Normalize
X_poly = [ones(m, 1), X_poly]; % Add Ones
% Map X_poly_test and normalize (using mu and sigma)
X_poly_test = polyFeatures(Xtest, p);
% X_poly_test = bsxfun(@minus, X_poly_test, mu);
% X_poly_test = bsxfun(@rdivide, X_poly_test, sigma);
X_poly_test = (X_poly_test - mu) ./ sigma;
X_poly_test = [ones(size(X_poly_test, 1), 1), X_poly_test]; % Add Ones
% Map X_poly_val and normalize (using mu and sigma)
X_poly_val = polyFeatures(Xval, p);
% X_poly_val = bsxfun(@minus, X_poly_val, mu);
% X_poly_val = bsxfun(@rdivide, X_poly_val, sigma);
X_poly_val = (X_poly_val - mu) ./ sigma;
X_poly_val = [ones(size(X_poly_val, 1), 1), X_poly_val]; % Add Ones
fprintf('Normalized Training Example 1:\n');
Normalized Training Example 1:
fprintf(' %f \n', X_poly(1, :));
1.000000
-0.362141
-0.755087
0.182226
-0.706190
0.306618
-0.590878
0.344516
-0.508481

=========== Part 7: Learning Curve for Polynomial Regression =============

Now, you will get to experiment with polynomial regression with multiple
values of lambda. The code below runs polynomial regression with
lambda = 0. You should try running the code with different values of
lambda to see how the fit and learning curve change.
lambda = 0;
[theta] = trainLinearReg(X_poly, y, lambda);
Iteration 1 | Cost: 8.273077e+01
Iteration 2 | Cost: 2.687496e+01
Iteration 3 | Cost: 1.327780e+01
Iteration 4 | Cost: 3.455324e+00
Iteration 5 | Cost: 2.870493e+00
Iteration 6 | Cost: 2.404364e+00
Iteration 7 | Cost: 2.372779e+00
Iteration 8 | Cost: 1.771555e+00
Iteration 9 | Cost: 1.210317e+00
Iteration 10 | Cost: 9.419127e-01
Iteration 11 | Cost: 7.790976e-01
Iteration 12 | Cost: 6.726696e-01
Iteration 13 | Cost: 6.415873e-01
Iteration 14 | Cost: 6.040388e-01
Iteration 15 | Cost: 4.739322e-01
Iteration 16 | Cost: 4.604849e-01
Iteration 17 | Cost: 4.404045e-01
Iteration 18 | Cost: 4.326139e-01
Iteration 19 | Cost: 4.153026e-01
Iteration 20 | Cost: 4.134929e-01
Iteration 21 | Cost: 3.729772e-01
Iteration 22 | Cost: 3.583363e-01
Iteration 23 | Cost: 3.498355e-01
Iteration 24 | Cost: 3.281107e-01
Iteration 25 | Cost: 3.272159e-01
Iteration 26 | Cost: 2.688206e-01
Iteration 27 | Cost: 2.619243e-01
Iteration 28 | Cost: 2.544605e-01
Iteration 29 | Cost: 2.460854e-01
Iteration 30 | Cost: 2.440704e-01
Iteration 31 | Cost: 2.423048e-01
Iteration 32 | Cost: 2.419285e-01
Iteration 33 | Cost: 2.414589e-01
Iteration 34 | Cost: 2.409377e-01
Iteration 35 | Cost: 2.408201e-01
Iteration 36 | Cost: 2.406609e-01
Iteration 37 | Cost: 2.403878e-01
Iteration 38 | Cost: 2.400076e-01
Iteration 39 | Cost: 2.398850e-01
Iteration 40 | Cost: 2.386813e-01
Iteration 41 | Cost: 2.384127e-01
Iteration 42 | Cost: 2.381296e-01
Iteration 43 | Cost: 2.380342e-01
Iteration 44 | Cost: 2.368137e-01
Iteration 45 | Cost: 2.366539e-01
Iteration 46 | Cost: 2.364221e-01
Iteration 47 | Cost: 2.363354e-01
Iteration 48 | Cost: 2.357555e-01
Iteration 49 | Cost: 2.317245e-01
Iteration 50 | Cost: 2.257250e-01
Iteration 51 | Cost: 2.246436e-01
Iteration 52 | Cost: 2.231816e-01
Iteration 53 | Cost: 2.225050e-01
Iteration 54 | Cost: 2.221484e-01
Iteration 55 | Cost: 2.220303e-01
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Iteration 57 | Cost: 2.207532e-01
Iteration 58 | Cost: 2.201579e-01
Iteration 59 | Cost: 2.196820e-01
Iteration 60 | Cost: 2.191833e-01
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Iteration 76 | Cost: 2.147472e-01
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Iteration 78 | Cost: 2.139307e-01
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Iteration 80 | Cost: 2.132450e-01
Iteration 81 | Cost: 2.127940e-01
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Iteration 92 | Cost: 2.051994e-01
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Iteration 94 | Cost: 2.031224e-01
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Iteration 96 | Cost: 2.015436e-01
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Iteration 107 | Cost: 2.008138e-01
Iteration 108 | Cost: 2.008031e-01
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Iteration 110 | Cost: 2.006203e-01
Iteration 111 | Cost: 2.002773e-01
Iteration 112 | Cost: 2.001975e-01
Iteration 113 | Cost: 1.969900e-01
Iteration 114 | Cost: 1.957068e-01
Iteration 115 | Cost: 1.952635e-01
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Iteration 125 | Cost: 1.923381e-01
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Iteration 128 | Cost: 1.909785e-01
Iteration 129 | Cost: 1.876497e-01
Iteration 130 | Cost: 1.848729e-01
Iteration 131 | Cost: 1.720223e-01
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Iteration 144 | Cost: 1.419686e-01
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Iteration 147 | Cost: 1.406309e-01
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Iteration 158 | Cost: 1.384077e-01
Iteration 159 | Cost: 1.383495e-01
Iteration 160 | Cost: 1.383345e-01
Iteration 161 | Cost: 1.382893e-01
Iteration 162 | Cost: 1.377903e-01
Iteration 163 | Cost: 1.372808e-01
Iteration 164 | Cost: 1.368058e-01
Iteration 165 | Cost: 1.366026e-01
Iteration 166 | Cost: 1.361229e-01
Iteration 167 | Cost: 1.358261e-01
Iteration 168 | Cost: 1.354520e-01
Iteration 169 | Cost: 1.354177e-01
Iteration 170 | Cost: 1.351783e-01
Iteration 171 | Cost: 1.348414e-01
Iteration 172 | Cost: 1.347794e-01
Iteration 173 | Cost: 1.347272e-01
Iteration 174 | Cost: 1.347011e-01
Iteration 175 | Cost: 1.344594e-01
Iteration 176 | Cost: 1.343146e-01
Iteration 177 | Cost: 1.342165e-01
Iteration 178 | Cost: 1.339005e-01
Iteration 179 | Cost: 1.335073e-01
Iteration 180 | Cost: 1.334989e-01
Iteration 181 | Cost: 1.334732e-01
Iteration 182 | Cost: 1.334382e-01
Iteration 183 | Cost: 1.334303e-01
Iteration 184 | Cost: 1.334030e-01
Iteration 185 | Cost: 1.333359e-01
Iteration 186 | Cost: 1.331427e-01
Iteration 187 | Cost: 1.330285e-01
Iteration 188 | Cost: 1.328721e-01
Iteration 189 | Cost: 1.328548e-01
Iteration 190 | Cost: 1.327856e-01
Iteration 191 | Cost: 1.327432e-01
Iteration 192 | Cost: 1.327194e-01
Iteration 193 | Cost: 1.326867e-01
Iteration 194 | Cost: 1.326763e-01
Iteration 195 | Cost: 1.326648e-01
Iteration 196 | Cost: 1.326268e-01
Iteration 197 | Cost: 1.325635e-01
Iteration 198 | Cost: 1.324197e-01
Iteration 199 | Cost: 1.323479e-01
Iteration 200 | Cost: 1.320519e-01
% Plot training data and fit
plot(X, y, 'rx', 'MarkerSize', 10, 'LineWidth', 1.5);
plotFit(min(X), max(X), mu, sigma, theta, p); % 图像拟合
xlabel('Change in water level (x)');
ylabel('Water flowing out of the dam (y)');
title (sprintf('Polynomial Regression Fit (lambda = %f)', lambda));
[error_train, error_val] = learningCurve(X_poly, y, X_poly_val, yval, lambda);
当前是第1个样本
Iteration 1 | Cost: 3.386454e-01
Iteration 2 | Cost: 0.000000e+00
当前是第2个样本
Iteration 1 | Cost: 5.373343e-02
Iteration 2 | Cost: 2.656989e-04
Iteration 3 | Cost: 1.480972e-05
Iteration 4 | Cost: 2.814173e-09
Iteration 5 | Cost: 2.813661e-09
Iteration 6 | Cost: 1.423915e-09
Iteration 7 | Cost: 2.500145e-10
Iteration 8 | Cost: 3.072962e-15
Iteration 9 | Cost: 1.239021e-17
Iteration 10 | Cost: 6.717644e-30
Iteration 11 | Cost: 4.437343e-31
Iteration 12 | Cost: 2.465190e-31
Iteration 13 | Cost: 6.162976e-32
Iteration 14 | Cost: 0.000000e+00
当前是第3个样本
Iteration 1 | Cost: 3.023381e+01
Iteration 2 | Cost: 9.745401e-01
Iteration 3 | Cost: 4.827305e-01
Iteration 4 | Cost: 1.170249e-02
Iteration 5 | Cost: 9.696908e-04
Iteration 6 | Cost: 5.299258e-04
Iteration 7 | Cost: 1.985836e-04
Iteration 8 | Cost: 6.032119e-05
Iteration 9 | Cost: 6.225212e-07
Iteration 10 | Cost: 3.894758e-07
Iteration 11 | Cost: 7.703724e-08
Iteration 12 | Cost: 5.688321e-08
Iteration 13 | Cost: 5.385450e-09
Iteration 14 | Cost: 1.603656e-10
Iteration 15 | Cost: 1.516867e-11
Iteration 16 | Cost: 9.627464e-12
Iteration 17 | Cost: 2.794098e-12
Iteration 18 | Cost: 7.766256e-13
Iteration 19 | Cost: 1.571268e-13
Iteration 20 | Cost: 2.248291e-16
Iteration 21 | Cost: 5.079310e-17
Iteration 22 | Cost: 1.499569e-17
Iteration 23 | Cost: 3.850965e-18
Iteration 24 | Cost: 8.545993e-30
Iteration 25 | Cost: 1.396941e-31
当前是第4个样本
Iteration 1 | Cost: 7.960488e-01
Iteration 2 | Cost: 2.114171e-01
Iteration 3 | Cost: 2.702642e-02
Iteration 4 | Cost: 2.798131e-19
Iteration 5 | Cost: 1.155831e-25
Iteration 6 | Cost: 2.927959e-26
Iteration 7 | Cost: 1.402305e-27
Iteration 8 | Cost: 3.343414e-29
Iteration 9 | Cost: 3.175165e-29
当前是第5个样本
Iteration 1 | Cost: 9.143237e+01
Iteration 2 | Cost: 3.894303e+01
Iteration 3 | Cost: 1.312582e+01
Iteration 4 | Cost: 5.317724e+00
Iteration 5 | Cost: 1.386650e+00
Iteration 6 | Cost: 4.873681e-01
Iteration 7 | Cost: 2.330253e-01
Iteration 8 | Cost: 7.321926e-02
Iteration 9 | Cost: 7.101279e-02
Iteration 10 | Cost: 6.770373e-02
Iteration 11 | Cost: 6.686482e-02
Iteration 12 | Cost: 5.818062e-02
Iteration 13 | Cost: 4.827902e-02
Iteration 14 | Cost: 3.706335e-02
Iteration 15 | Cost: 3.633709e-02
Iteration 16 | Cost: 3.572260e-02
Iteration 17 | Cost: 3.366710e-02
Iteration 18 | Cost: 3.134083e-02
Iteration 19 | Cost: 2.950772e-02
Iteration 20 | Cost: 2.832398e-02
Iteration 21 | Cost: 2.802181e-02
Iteration 22 | Cost: 2.777442e-02
Iteration 23 | Cost: 2.772721e-02
Iteration 24 | Cost: 2.686705e-02
Iteration 25 | Cost: 2.584456e-02
Iteration 26 | Cost: 2.207563e-02
Iteration 27 | Cost: 2.191484e-02
Iteration 28 | Cost: 2.173884e-02
Iteration 29 | Cost: 2.150172e-02
Iteration 30 | Cost: 2.134572e-02
Iteration 31 | Cost: 2.130539e-02
Iteration 32 | Cost: 2.095897e-02
Iteration 33 | Cost: 2.004151e-02
Iteration 34 | Cost: 1.631667e-02
Iteration 35 | Cost: 1.556377e-02
Iteration 36 | Cost: 1.549426e-02
Iteration 37 | Cost: 1.453260e-02
Iteration 38 | Cost: 1.433962e-02
Iteration 39 | Cost: 1.375563e-02
Iteration 40 | Cost: 1.352036e-02
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Iteration 42 | Cost: 1.314505e-02
Iteration 43 | Cost: 1.294310e-02
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Iteration 46 | Cost: 1.232146e-02
Iteration 47 | Cost: 1.180861e-02
Iteration 48 | Cost: 1.110030e-02
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Iteration 50 | Cost: 9.802453e-03
Iteration 51 | Cost: 9.788849e-03
Iteration 52 | Cost: 9.629113e-03
Iteration 53 | Cost: 9.603469e-03
Iteration 54 | Cost: 9.496541e-03
Iteration 55 | Cost: 9.439444e-03
Iteration 56 | Cost: 9.397202e-03
Iteration 57 | Cost: 8.379872e-03
Iteration 58 | Cost: 8.032666e-03
Iteration 59 | Cost: 7.942300e-03
Iteration 60 | Cost: 7.673255e-03
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Iteration 62 | Cost: 6.796894e-03
Iteration 63 | Cost: 6.728960e-03
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Iteration 65 | Cost: 6.606112e-03
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Iteration 67 | Cost: 6.480857e-03
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Iteration 69 | Cost: 6.217933e-03
Iteration 70 | Cost: 6.015919e-03
Iteration 71 | Cost: 5.932235e-03
Iteration 72 | Cost: 5.816982e-03
Iteration 73 | Cost: 5.808061e-03
Iteration 74 | Cost: 5.732508e-03
Iteration 75 | Cost: 5.703877e-03
Iteration 76 | Cost: 4.776952e-03
Iteration 77 | Cost: 3.648206e-03
Iteration 78 | Cost: 2.610725e-03
Iteration 79 | Cost: 2.063817e-03
Iteration 80 | Cost: 2.052749e-03
Iteration 81 | Cost: 1.657192e-03
Iteration 82 | Cost: 1.406009e-03
Iteration 83 | Cost: 1.398670e-03
Iteration 84 | Cost: 1.388885e-03
Iteration 85 | Cost: 1.378185e-03
Iteration 86 | Cost: 1.356849e-03
Iteration 87 | Cost: 1.327194e-03
Iteration 88 | Cost: 1.277650e-03
Iteration 89 | Cost: 1.058651e-03
Iteration 90 | Cost: 8.835871e-04
Iteration 91 | Cost: 4.838998e-04
Iteration 92 | Cost: 4.627958e-04
Iteration 93 | Cost: 4.322145e-04
Iteration 94 | Cost: 4.215981e-04
Iteration 95 | Cost: 3.794300e-04
Iteration 96 | Cost: 3.449262e-04
Iteration 97 | Cost: 3.258421e-04
Iteration 98 | Cost: 2.040492e-04
Iteration 99 | Cost: 1.935710e-04
Iteration 100 | Cost: 1.883681e-04
Iteration 101 | Cost: 1.865276e-04
Iteration 102 | Cost: 1.845673e-04
Iteration 103 | Cost: 1.835057e-04
Iteration 104 | Cost: 1.795934e-04
Iteration 105 | Cost: 1.772254e-04
Iteration 106 | Cost: 1.742716e-04
Iteration 107 | Cost: 1.704701e-04
Iteration 108 | Cost: 1.672164e-04
Iteration 109 | Cost: 1.665428e-04
Iteration 110 | Cost: 1.585160e-04
Iteration 111 | Cost: 1.563710e-04
Iteration 112 | Cost: 1.481334e-04
Iteration 113 | Cost: 1.466309e-04
Iteration 114 | Cost: 1.454060e-04
Iteration 115 | Cost: 1.435601e-04
Iteration 116 | Cost: 1.394008e-04
Iteration 117 | Cost: 1.343855e-04
Iteration 118 | Cost: 1.310628e-04
Iteration 119 | Cost: 1.248560e-04
Iteration 120 | Cost: 1.198507e-04
Iteration 121 | Cost: 1.187944e-04
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Iteration 123 | Cost: 1.170635e-04
Iteration 124 | Cost: 1.145148e-04
Iteration 125 | Cost: 1.130194e-04
Iteration 126 | Cost: 1.087781e-04
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Iteration 128 | Cost: 1.022553e-04
Iteration 129 | Cost: 9.973021e-05
Iteration 130 | Cost: 9.749655e-05
Iteration 131 | Cost: 9.392412e-05
Iteration 132 | Cost: 9.251641e-05
Iteration 133 | Cost: 7.358483e-05
Iteration 134 | Cost: 5.638190e-05
Iteration 135 | Cost: 1.398862e-05
Iteration 136 | Cost: 9.319046e-06
Iteration 137 | Cost: 4.354952e-06
Iteration 138 | Cost: 2.997637e-06
Iteration 139 | Cost: 2.547237e-07
Iteration 140 | Cost: 1.208966e-07
Iteration 141 | Cost: 1.039875e-07
Iteration 142 | Cost: 8.915169e-08
Iteration 143 | Cost: 8.871824e-08
Iteration 144 | Cost: 8.738053e-08
Iteration 145 | Cost: 8.403640e-08
Iteration 146 | Cost: 7.720203e-08
Iteration 147 | Cost: 4.860117e-08
Iteration 148 | Cost: 3.773734e-08
Iteration 149 | Cost: 3.074098e-08
Iteration 150 | Cost: 2.686220e-08
Iteration 151 | Cost: 2.667158e-08
Iteration 152 | Cost: 2.417961e-08
Iteration 153 | Cost: 2.284436e-08
Iteration 154 | Cost: 2.183794e-08
Iteration 155 | Cost: 1.767307e-08
Iteration 156 | Cost: 1.620038e-08
Iteration 157 | Cost: 1.439505e-08
Iteration 158 | Cost: 1.227021e-08
Iteration 159 | Cost: 1.218601e-08
Iteration 160 | Cost: 1.163907e-08
Iteration 161 | Cost: 1.111890e-08
Iteration 162 | Cost: 1.084321e-08
Iteration 163 | Cost: 1.069491e-08
Iteration 164 | Cost: 1.025701e-08
Iteration 165 | Cost: 9.824432e-09
Iteration 166 | Cost: 9.578286e-09
Iteration 167 | Cost: 9.556324e-09
Iteration 168 | Cost: 8.900275e-09
Iteration 169 | Cost: 7.469556e-09
Iteration 170 | Cost: 5.688690e-09
Iteration 171 | Cost: 5.486634e-09
Iteration 172 | Cost: 5.396620e-09
Iteration 173 | Cost: 5.032440e-09
Iteration 174 | Cost: 4.975563e-09
Iteration 175 | Cost: 4.832212e-09
Iteration 176 | Cost: 4.488774e-09
Iteration 177 | Cost: 4.376258e-09
Iteration 178 | Cost: 3.522838e-09
Iteration 179 | Cost: 3.389497e-09
Iteration 180 | Cost: 3.340749e-09
Iteration 181 | Cost: 3.271384e-09
Iteration 182 | Cost: 3.201760e-09
Iteration 183 | Cost: 2.987141e-09
Iteration 184 | Cost: 2.791720e-09
Iteration 185 | Cost: 2.170800e-09
Iteration 186 | Cost: 1.605835e-09
Iteration 187 | Cost: 1.448707e-09
Iteration 188 | Cost: 1.376793e-09
Iteration 189 | Cost: 1.288014e-09
Iteration 190 | Cost: 1.204645e-09
Iteration 191 | Cost: 1.127414e-09
Iteration 192 | Cost: 1.116701e-09
Iteration 193 | Cost: 9.217671e-10
Iteration 194 | Cost: 8.511265e-10
Iteration 195 | Cost: 7.862276e-10
Iteration 196 | Cost: 7.577853e-10
Iteration 197 | Cost: 7.532007e-10
Iteration 198 | Cost: 6.665826e-10
Iteration 199 | Cost: 4.211056e-10
Iteration 200 | Cost: 3.299474e-10
当前是第6个样本
Iteration 1 | Cost: 6.685771e+01
Iteration 2 | Cost: 1.216701e+01
Iteration 3 | Cost: 1.795979e+00
Iteration 4 | Cost: 6.292963e-01
Iteration 5 | Cost: 2.225698e-01
Iteration 6 | Cost: 5.075312e-02
Iteration 7 | Cost: 4.971823e-02
Iteration 8 | Cost: 4.887209e-02
Iteration 9 | Cost: 4.848281e-02
Iteration 10 | Cost: 4.805691e-02
Iteration 11 | Cost: 4.762043e-02
Iteration 12 | Cost: 4.708368e-02
Iteration 13 | Cost: 4.655859e-02
Iteration 14 | Cost: 4.628693e-02
Iteration 15 | Cost: 4.626872e-02
Iteration 16 | Cost: 4.606525e-02
Iteration 17 | Cost: 4.585841e-02
Iteration 18 | Cost: 4.577828e-02
Iteration 19 | Cost: 4.546660e-02
Iteration 20 | Cost: 4.535953e-02
Iteration 21 | Cost: 4.503245e-02
Iteration 22 | Cost: 4.489971e-02
Iteration 23 | Cost: 4.459892e-02
Iteration 24 | Cost: 4.349573e-02
Iteration 25 | Cost: 4.291887e-02
Iteration 26 | Cost: 4.033957e-02
Iteration 27 | Cost: 3.776504e-02
Iteration 28 | Cost: 3.661616e-02
Iteration 29 | Cost: 3.645174e-02
Iteration 30 | Cost: 3.621230e-02
Iteration 31 | Cost: 3.616361e-02
Iteration 32 | Cost: 3.610100e-02
Iteration 33 | Cost: 3.603520e-02
Iteration 34 | Cost: 3.586683e-02
Iteration 35 | Cost: 3.548514e-02
Iteration 36 | Cost: 3.427152e-02
Iteration 37 | Cost: 3.378955e-02
Iteration 38 | Cost: 3.341736e-02
Iteration 39 | Cost: 3.282914e-02
Iteration 40 | Cost: 3.212814e-02
Iteration 41 | Cost: 3.053570e-02
Iteration 42 | Cost: 2.972929e-02
Iteration 43 | Cost: 2.758780e-02
Iteration 44 | Cost: 2.484854e-02
Iteration 45 | Cost: 2.232582e-02
Iteration 46 | Cost: 2.164251e-02
Iteration 47 | Cost: 2.155620e-02
Iteration 48 | Cost: 2.103385e-02
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Iteration 50 | Cost: 2.022942e-02
Iteration 51 | Cost: 2.015195e-02
Iteration 52 | Cost: 1.985384e-02
Iteration 53 | Cost: 1.978390e-02
Iteration 54 | Cost: 1.950463e-02
Iteration 55 | Cost: 1.921259e-02
Iteration 56 | Cost: 1.919869e-02
Iteration 57 | Cost: 1.918175e-02
Iteration 58 | Cost: 1.914822e-02
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Iteration 60 | Cost: 1.836038e-02
Iteration 61 | Cost: 1.756716e-02
Iteration 62 | Cost: 1.667834e-02
Iteration 63 | Cost: 1.651738e-02
Iteration 64 | Cost: 1.629014e-02
Iteration 65 | Cost: 1.605620e-02
Iteration 66 | Cost: 1.600235e-02
Iteration 67 | Cost: 1.597749e-02
Iteration 68 | Cost: 1.586670e-02
Iteration 69 | Cost: 1.584241e-02
Iteration 70 | Cost: 1.577314e-02
Iteration 71 | Cost: 1.569405e-02
Iteration 72 | Cost: 1.560340e-02
Iteration 73 | Cost: 1.543303e-02
Iteration 74 | Cost: 1.540295e-02
Iteration 75 | Cost: 1.536784e-02
Iteration 76 | Cost: 1.535035e-02
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Iteration 78 | Cost: 1.525298e-02
Iteration 79 | Cost: 1.490063e-02
Iteration 80 | Cost: 1.477720e-02
Iteration 81 | Cost: 1.430314e-02
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Iteration 84 | Cost: 1.378233e-02
Iteration 85 | Cost: 1.312290e-02
Iteration 86 | Cost: 1.283222e-02
Iteration 87 | Cost: 1.282586e-02
Iteration 88 | Cost: 1.257051e-02
Iteration 89 | Cost: 1.251042e-02
Iteration 90 | Cost: 1.244546e-02
Iteration 91 | Cost: 1.239673e-02
Iteration 92 | Cost: 1.237773e-02
Iteration 93 | Cost: 1.233380e-02
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Iteration 96 | Cost: 1.224699e-02
Iteration 97 | Cost: 1.221983e-02
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Iteration 99 | Cost: 1.211436e-02
Iteration 100 | Cost: 1.202138e-02
Iteration 101 | Cost: 1.196417e-02
Iteration 102 | Cost: 1.191510e-02
Iteration 103 | Cost: 1.189627e-02
Iteration 104 | Cost: 1.185008e-02
Iteration 105 | Cost: 1.179175e-02
Iteration 106 | Cost: 1.145255e-02
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Iteration 108 | Cost: 9.618078e-03
Iteration 109 | Cost: 8.726400e-03
Iteration 110 | Cost: 8.624215e-03
Iteration 111 | Cost: 8.504063e-03
Iteration 112 | Cost: 8.484560e-03
Iteration 113 | Cost: 8.427607e-03
Iteration 114 | Cost: 8.267757e-03
Iteration 115 | Cost: 8.208960e-03
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Iteration 117 | Cost: 8.167419e-03
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Iteration 131 | Cost: 7.414483e-03
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Iteration 133 | Cost: 7.261610e-03
Iteration 134 | Cost: 7.254446e-03
Iteration 135 | Cost: 7.220476e-03
Iteration 136 | Cost: 7.183998e-03
Iteration 137 | Cost: 7.085558e-03
Iteration 138 | Cost: 7.022368e-03
Iteration 139 | Cost: 7.018300e-03
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Iteration 142 | Cost: 6.982896e-03
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Iteration 144 | Cost: 6.919625e-03
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Iteration 146 | Cost: 6.874591e-03
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Iteration 148 | Cost: 6.855786e-03
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Iteration 150 | Cost: 6.786655e-03
Iteration 151 | Cost: 6.732935e-03
Iteration 152 | Cost: 6.590386e-03
Iteration 153 | Cost: 6.467114e-03
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Iteration 156 | Cost: 5.984863e-03
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Iteration 158 | Cost: 5.698168e-03
Iteration 159 | Cost: 5.633382e-03
Iteration 160 | Cost: 5.540687e-03
Iteration 161 | Cost: 5.512541e-03
Iteration 162 | Cost: 5.472232e-03
Iteration 163 | Cost: 5.453187e-03
Iteration 164 | Cost: 5.433923e-03
Iteration 165 | Cost: 5.393363e-03
Iteration 166 | Cost: 5.359217e-03
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Iteration 168 | Cost: 5.342154e-03
Iteration 169 | Cost: 5.338400e-03
Iteration 170 | Cost: 5.329223e-03
Iteration 171 | Cost: 5.290566e-03
Iteration 172 | Cost: 5.255690e-03
Iteration 173 | Cost: 5.230980e-03
Iteration 174 | Cost: 5.226243e-03
Iteration 175 | Cost: 5.210450e-03
Iteration 176 | Cost: 5.193773e-03
Iteration 177 | Cost: 4.787638e-03
Iteration 178 | Cost: 4.643230e-03
Iteration 179 | Cost: 4.566680e-03
Iteration 180 | Cost: 4.566170e-03
Iteration 181 | Cost: 4.522393e-03
Iteration 182 | Cost: 4.434313e-03
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Iteration 184 | Cost: 4.037530e-03
Iteration 185 | Cost: 3.958037e-03
Iteration 186 | Cost: 3.950503e-03
Iteration 187 | Cost: 3.940199e-03
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Iteration 189 | Cost: 3.933524e-03
Iteration 190 | Cost: 3.872959e-03
Iteration 191 | Cost: 3.810927e-03
Iteration 192 | Cost: 3.667848e-03
Iteration 193 | Cost: 3.607180e-03
Iteration 194 | Cost: 3.472464e-03
Iteration 195 | Cost: 3.347031e-03
Iteration 196 | Cost: 3.031235e-03
Iteration 197 | Cost: 2.951112e-03
Iteration 198 | Cost: 2.634894e-03
Iteration 199 | Cost: 2.549036e-03
Iteration 200 | Cost: 2.498147e-03
当前是第7个样本
Iteration 1 | Cost: 7.107198e+01
Iteration 2 | Cost: 4.890266e+00
Iteration 3 | Cost: 2.478218e+00
Iteration 4 | Cost: 1.353835e+00
Iteration 5 | Cost: 1.178463e+00
Iteration 6 | Cost: 1.092424e+00
Iteration 7 | Cost: 7.418307e-01
Iteration 8 | Cost: 7.260374e-01
Iteration 9 | Cost: 7.061619e-01
Iteration 10 | Cost: 6.875476e-01
Iteration 11 | Cost: 6.559494e-01
Iteration 12 | Cost: 6.170643e-01
Iteration 13 | Cost: 3.727928e-01
Iteration 14 | Cost: 2.352891e-01
Iteration 15 | Cost: 1.587474e-01
Iteration 16 | Cost: 1.391632e-01
Iteration 17 | Cost: 1.282223e-01
Iteration 18 | Cost: 1.264521e-01
Iteration 19 | Cost: 1.097052e-01
Iteration 20 | Cost: 1.081804e-01
Iteration 21 | Cost: 1.044473e-01
Iteration 22 | Cost: 1.029389e-01
Iteration 23 | Cost: 1.011113e-01
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Iteration 25 | Cost: 1.009899e-01
Iteration 26 | Cost: 1.006057e-01
Iteration 27 | Cost: 9.780618e-02
Iteration 28 | Cost: 9.610629e-02
Iteration 29 | Cost: 9.540288e-02
Iteration 30 | Cost: 9.518074e-02
Iteration 31 | Cost: 9.493850e-02
Iteration 32 | Cost: 9.483665e-02
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Iteration 90 | Cost: 7.697365e-02
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Iteration 198 | Cost: 4.351343e-02
Iteration 199 | Cost: 4.348511e-02
Iteration 200 | Cost: 4.321813e-02
当前是第8个样本
Iteration 1 | Cost: 6.233475e+01
Iteration 2 | Cost: 3.456789e+00
Iteration 3 | Cost: 2.382993e+00
Iteration 4 | Cost: 1.516005e+00
Iteration 5 | Cost: 1.363792e+00
Iteration 6 | Cost: 1.265681e+00
Iteration 7 | Cost: 1.209286e+00
Iteration 8 | Cost: 1.069343e+00
Iteration 9 | Cost: 9.760101e-01
Iteration 10 | Cost: 9.028682e-01
Iteration 11 | Cost: 8.172417e-01
Iteration 12 | Cost: 7.147231e-01
Iteration 13 | Cost: 6.685048e-01
Iteration 14 | Cost: 6.004223e-01
Iteration 15 | Cost: 5.899799e-01
Iteration 16 | Cost: 5.606919e-01
Iteration 17 | Cost: 5.403566e-01
Iteration 18 | Cost: 5.049469e-01
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Iteration 20 | Cost: 4.006641e-01
Iteration 21 | Cost: 3.839467e-01
Iteration 22 | Cost: 3.101326e-01
Iteration 23 | Cost: 2.861865e-01
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Iteration 25 | Cost: 1.673674e-01
Iteration 26 | Cost: 1.282973e-01
Iteration 27 | Cost: 1.107294e-01
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Iteration 30 | Cost: 9.479313e-02
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Iteration 53 | Cost: 9.083599e-02
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Iteration 78 | Cost: 8.908475e-02
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Iteration 90 | Cost: 7.954605e-02
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Iteration 92 | Cost: 7.917889e-02
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Iteration 114 | Cost: 7.794475e-02
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Iteration 140 | Cost: 7.695730e-02
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Iteration 156 | Cost: 7.553876e-02
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Iteration 158 | Cost: 7.545393e-02
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Iteration 161 | Cost: 7.538819e-02
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Iteration 175 | Cost: 7.497965e-02
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Iteration 179 | Cost: 7.491067e-02
Iteration 180 | Cost: 7.490469e-02
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Iteration 184 | Cost: 7.475352e-02
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Iteration 189 | Cost: 7.462624e-02
Iteration 190 | Cost: 7.461539e-02
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Iteration 195 | Cost: 7.437839e-02
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Iteration 197 | Cost: 7.433582e-02
Iteration 198 | Cost: 7.429723e-02
Iteration 199 | Cost: 7.404469e-02
Iteration 200 | Cost: 7.388474e-02
当前是第9个样本
Iteration 1 | Cost: 5.922449e+01
Iteration 2 | Cost: 2.724806e+00
Iteration 3 | Cost: 1.507147e+00
Iteration 4 | Cost: 1.432139e+00
Iteration 5 | Cost: 1.346403e+00
Iteration 6 | Cost: 1.251980e+00
Iteration 7 | Cost: 1.152909e+00
Iteration 8 | Cost: 8.469559e-01
Iteration 9 | Cost: 7.881592e-01
Iteration 10 | Cost: 7.147247e-01
Iteration 11 | Cost: 4.901611e-01
Iteration 12 | Cost: 4.417739e-01
Iteration 13 | Cost: 4.130588e-01
Iteration 14 | Cost: 4.082810e-01
Iteration 15 | Cost: 4.027304e-01
Iteration 16 | Cost: 3.823073e-01
Iteration 17 | Cost: 3.657771e-01
Iteration 18 | Cost: 3.361913e-01
Iteration 19 | Cost: 3.287797e-01
Iteration 20 | Cost: 3.244465e-01
Iteration 21 | Cost: 3.240224e-01
Iteration 22 | Cost: 3.229258e-01
Iteration 23 | Cost: 3.180748e-01
Iteration 24 | Cost: 3.175914e-01
Iteration 25 | Cost: 3.144060e-01
Iteration 26 | Cost: 3.121446e-01
Iteration 27 | Cost: 3.091758e-01
Iteration 28 | Cost: 3.058953e-01
Iteration 29 | Cost: 3.014148e-01
Iteration 30 | Cost: 2.968584e-01
Iteration 31 | Cost: 2.964835e-01
Iteration 32 | Cost: 2.952601e-01
Iteration 33 | Cost: 2.948599e-01
Iteration 34 | Cost: 2.942932e-01
Iteration 35 | Cost: 2.942060e-01
Iteration 36 | Cost: 2.916908e-01
Iteration 37 | Cost: 2.898808e-01
Iteration 38 | Cost: 2.867940e-01
Iteration 39 | Cost: 2.841745e-01
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Iteration 42 | Cost: 2.749888e-01
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Iteration 48 | Cost: 2.439560e-01
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Iteration 71 | Cost: 2.134685e-01
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Iteration 74 | Cost: 2.126503e-01
Iteration 75 | Cost: 2.125813e-01
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Iteration 77 | Cost: 2.123151e-01
Iteration 78 | Cost: 2.122823e-01
Iteration 79 | Cost: 2.119520e-01
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Iteration 86 | Cost: 2.101345e-01
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Iteration 112 | Cost: 1.905293e-01
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Iteration 161 | Cost: 1.796982e-01
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Iteration 172 | Cost: 1.781114e-01
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Iteration 180 | Cost: 1.778892e-01
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Iteration 190 | Cost: 1.769090e-01
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Iteration 197 | Cost: 1.751462e-01
Iteration 198 | Cost: 1.746862e-01
Iteration 199 | Cost: 1.743159e-01
Iteration 200 | Cost: 1.739213e-01
当前是第10个样本
Iteration 1 | Cost: 5.599132e+01
Iteration 2 | Cost: 1.090991e+01
Iteration 3 | Cost: 5.736601e+00
Iteration 4 | Cost: 4.209355e+00
Iteration 5 | Cost: 1.992203e+00
Iteration 6 | Cost: 1.505346e+00
Iteration 7 | Cost: 1.290402e+00
Iteration 8 | Cost: 1.266152e+00
Iteration 9 | Cost: 9.569762e-01
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当前是第11个样本
Iteration 1 | Cost: 7.186879e+01
Iteration 2 | Cost: 2.278130e+01
Iteration 3 | Cost: 4.970159e+00
Iteration 4 | Cost: 1.355413e+00
Iteration 5 | Cost: 1.252814e+00
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Iteration 9 | Cost: 9.152794e-01
Iteration 10 | Cost: 8.945694e-01
Iteration 11 | Cost: 8.322818e-01
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Iteration 198 | Cost: 1.578772e-01
Iteration 199 | Cost: 1.578341e-01
Iteration 200 | Cost: 1.578229e-01
当前是第12个样本
Iteration 1 | Cost: 8.273077e+01
Iteration 2 | Cost: 2.687496e+01
Iteration 3 | Cost: 1.327780e+01
Iteration 4 | Cost: 3.455324e+00
Iteration 5 | Cost: 2.870493e+00
Iteration 6 | Cost: 2.404364e+00
Iteration 7 | Cost: 2.372779e+00
Iteration 8 | Cost: 1.771555e+00
Iteration 9 | Cost: 1.210317e+00
Iteration 10 | Cost: 9.419127e-01
Iteration 11 | Cost: 7.790976e-01
Iteration 12 | Cost: 6.726696e-01
Iteration 13 | Cost: 6.415873e-01
Iteration 14 | Cost: 6.040388e-01
Iteration 15 | Cost: 4.739322e-01
Iteration 16 | Cost: 4.604849e-01
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Iteration 168 | Cost: 1.354520e-01
Iteration ...
plot(1:m, error_train, 1:m, error_val);
title(sprintf('Polynomial Regression Learning Curve (lambda = %f)', lambda));
xlabel('Number of training examples')
ylabel('Error')
axis([0 13 0 100])
legend('Train', 'Cross Validation')
fprintf('Polynomial Regression (lambda = %f)\n\n', lambda);
Polynomial Regression (lambda = 0.000000)
fprintf('# Training Examples\tTrain Error\tCross Validation Error\n');
# Training Examples Train Error Cross Validation Error
for i = 1 : m
fprintf(' \t%d\t\t%f\t%f\n', i, error_train(i), error_val(i));
end
1 0.000000 160.721900
2 0.000000 160.121510
3 0.000000 61.754825
4 0.000000 61.928895
5 0.000000 6.597428
6 0.002498 9.748793
7 0.043218 7.692405
8 0.073885 5.748689
9 0.173921 7.393700
10 0.157169 7.820808
11 0.157823 9.865492
12 0.132052 17.594227

=========== Part 8: Validation for Selecting Lambda =============

You will now implement validationCurve to test various values of
lambda on a validation set. You will then use this to select the
"best" lambda value.
[lambda_vec, error_train, error_val] = validationCurve(X_poly, y, X_poly_val, yval);
当前是第1次测试
Iteration 1 | Cost: 8.273077e+01
Iteration 2 | Cost: 2.687496e+01
Iteration 3 | Cost: 1.327780e+01
Iteration 4 | Cost: 3.455324e+00
Iteration 5 | Cost: 2.870493e+00
Iteration 6 | Cost: 2.404364e+00
Iteration 7 | Cost: 2.372779e+00
Iteration 8 | Cost: 1.771555e+00
Iteration 9 | Cost: 1.210317e+00
Iteration 10 | Cost: 9.419127e-01
Iteration 11 | Cost: 7.790976e-01
Iteration 12 | Cost: 6.726696e-01
Iteration 13 | Cost: 6.415873e-01
Iteration 14 | Cost: 6.040388e-01
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Iteration 199 | Cost: 1.323479e-01
Iteration 200 | Cost: 1.320519e-01
当前是第2次测试
Iteration 1 | Cost: 8.273125e+01
Iteration 2 | Cost: 2.687716e+01
Iteration 3 | Cost: 1.328082e+01
Iteration 4 | Cost: 3.462063e+00
Iteration 5 | Cost: 2.876591e+00
Iteration 6 | Cost: 2.410018e+00
Iteration 7 | Cost: 2.378879e+00
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Iteration 10 | Cost: 9.413499e-01
Iteration 11 | Cost: 7.701720e-01
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Iteration 200 | Cost: 1.961755e-01
当前是第3次测试
Iteration 1 | Cost: 8.273221e+01
Iteration 2 | Cost: 2.688156e+01
Iteration 3 | Cost: 1.328685e+01
Iteration 4 | Cost: 3.475543e+00
Iteration 5 | Cost: 2.888786e+00
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Iteration 8 | Cost: 1.792698e+00
Iteration 9 | Cost: 1.214309e+00
Iteration 10 | Cost: 9.446311e-01
Iteration 11 | Cost: 7.889542e-01
Iteration 12 | Cost: 6.662485e-01
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Iteration 199 | Cost: 2.502438e-01
Iteration 200 | Cost: 2.502409e-01
当前是第4次测试
Iteration 1 | Cost: 8.273556e+01
Iteration 2 | Cost: 2.689698e+01
Iteration 3 | Cost: 1.330795e+01
Iteration 4 | Cost: 3.522725e+00
Iteration 5 | Cost: 2.931455e+00
Iteration 6 | Cost: 2.460864e+00
Iteration 7 | Cost: 2.422567e+00
Iteration 8 | Cost: 1.962357e+00
Iteration 9 | Cost: 1.850960e+00
Iteration 10 | Cost: 1.380043e+00
Iteration 11 | Cost: 1.016643e+00
Iteration 12 | Cost: 7.199438e-01
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Iteration 197 | Cost: 3.850653e-01
Iteration 198 | Cost: 3.850652e-01
Iteration 199 | Cost: 3.850652e-01
Iteration 200 | Cost: 3.850651e-01
当前是第5次测试
Iteration 1 | Cost: 8.274514e+01
Iteration 2 | Cost: 2.694101e+01
Iteration 3 | Cost: 1.336813e+01
Iteration 4 | Cost: 3.657587e+00
Iteration 5 | Cost: 3.053249e+00
Iteration 6 | Cost: 2.573588e+00
Iteration 7 | Cost: 2.538580e+00
Iteration 8 | Cost: 2.118929e+00
Iteration 9 | Cost: 1.657966e+00
Iteration 10 | Cost: 1.470507e+00
Iteration 11 | Cost: 1.469630e+00
Iteration 12 | Cost: 1.246196e+00
Iteration 13 | Cost: 1.164124e+00
Iteration 14 | Cost: 1.050944e+00
Iteration 15 | Cost: 9.488353e-01
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Iteration 18 | Cost: 7.954435e-01
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Iteration 27 | Cost: 6.844571e-01
Iteration 28 | Cost: 6.840681e-01
Iteration 29 | Cost: 6.765963e-01
Iteration 30 | Cost: 6.756734e-01
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Iteration 171 | Cost: 6.692749e-01
Iteration 172 | Cost: 6.692749e-01
Iteration 173 | Cost: 6.692749e-01
Iteration 174 | Cost: 6.692749e-01
Iteration 175 | Cost: 6.692749e-01
Iteration 176 | Cost: 6.692749e-01
Iteration 177 | Cost: 6.692749e-01
Iteration 178 | Cost: 6.692749e-01
Iteration 179 | Cost: 6.692749e-01
Iteration 180 | Cost: 6.692749e-01
Iteration 181 | Cost: 6.692749e-01
Iteration 182 | Cost: 6.692749e-01
Iteration 183 | Cost: 6.692749e-01
Iteration 184 | Cost: 6.692749e-01
Iteration 185 | Cost: 6.692749e-01
Iteration 186 | Cost: 6.692749e-01
Iteration 187 | Cost: 6.692749e-01
Iteration 188 | Cost: 6.692749e-01
Iteration 189 | Cost: 6.692749e-01
Iteration 190 | Cost: 6.692749e-01
Iteration 191 | Cost: 6.692749e-01
Iteration 192 | Cost: 6.692749e-01
Iteration 193 | Cost: 6.692749e-01
Iteration 194 | Cost: 6.692749e-01
Iteration 195 | Cost: 6.692749e-01
Iteration 196 | Cost: 6.692749e-01
Iteration 197 | Cost: 6.692749e-01
Iteration 198 | Cost: 6.692749e-01
Iteration 199 | Cost: 6.692749e-01
Iteration 200 | Cost: 6.692749e-01
当前是第6次测试
Iteration 1 | Cost: 8.277865e+01
Iteration 2 | Cost: 2.709514e+01
Iteration 3 | Cost: 1.357764e+01
Iteration 4 | Cost: 4.130291e+00
Iteration 5 | Cost: 3.478229e+00
Iteration 6 | Cost: 2.965259e+00
Iteration 7 | Cost: 2.939673e+00
Iteration 8 | Cost: 2.647756e+00
Iteration 9 | Cost: 2.588852e+00
Iteration 10 | Cost: 2.171449e+00
Iteration 11 | Cost: 1.736470e+00
Iteration 12 | Cost: 1.552299e+00
Iteration 13 | Cost: 1.522166e+00
Iteration 14 | Cost: 1.484212e+00
Iteration 15 | Cost: 1.483933e+00
Iteration 16 | Cost: 1.482707e+00
Iteration 17 | Cost: 1.480319e+00
Iteration 18 | Cost: 1.478357e+00
Iteration 19 | Cost: 1.469529e+00
Iteration 20 | Cost: 1.466264e+00
Iteration 21 | Cost: 1.462285e+00
Iteration 22 | Cost: 1.460661e+00
Iteration 23 | Cost: 1.455358e+00
Iteration 24 | Cost: 1.454730e+00
Iteration 25 | Cost: 1.453829e+00
Iteration 26 | Cost: 1.453747e+00
Iteration 27 | Cost: 1.451803e+00
Iteration 28 | Cost: 1.449688e+00
Iteration 29 | Cost: 1.448593e+00
Iteration 30 | Cost: 1.448257e+00
Iteration 31 | Cost: 1.446963e+00
Iteration 32 | Cost: 1.446937e+00
Iteration 33 | Cost: 1.446680e+00
Iteration 34 | Cost: 1.446529e+00
Iteration 35 | Cost: 1.446403e+00
Iteration 36 | Cost: 1.445955e+00
Iteration 37 | Cost: 1.445490e+00
Iteration 38 | Cost: 1.445364e+00
Iteration 39 | Cost: 1.444999e+00
Iteration 40 | Cost: 1.444970e+00
Iteration 41 | Cost: 1.444919e+00
Iteration 42 | Cost: 1.444896e+00
Iteration 43 | Cost: 1.444619e+00
Iteration 44 | Cost: 1.444580e+00
Iteration 45 | Cost: 1.444324e+00
Iteration 46 | Cost: 1.443583e+00
Iteration 47 | Cost: 1.443492e+00
Iteration 48 | Cost: 1.443491e+00
Iteration 49 | Cost: 1.443488e+00
Iteration 50 | Cost: 1.443486e+00
Iteration 51 | Cost: 1.443486e+00
Iteration 52 | Cost: 1.443476e+00
Iteration 53 | Cost: 1.443476e+00
Iteration 54 | Cost: 1.443476e+00
Iteration 55 | Cost: 1.443471e+00
Iteration 56 | Cost: 1.443471e+00
Iteration 57 | Cost: 1.443471e+00
Iteration 58 | Cost: 1.443471e+00
Iteration 59 | Cost: 1.443471e+00
Iteration 60 | Cost: 1.443470e+00
Iteration 61 | Cost: 1.443470e+00
Iteration 62 | Cost: 1.443470e+00
Iteration 63 | Cost: 1.443470e+00
Iteration 64 | Cost: 1.443470e+00
Iteration 65 | Cost: 1.443470e+00
Iteration 66 | Cost: 1.443470e+00
Iteration 67 | Cost: 1.443470e+00
Iteration 68 | Cost: 1.443470e+00
Iteration 69 | Cost: 1.443470e+00
Iteration 70 | Cost: 1.443470e+00
Iteration 71 | Cost: 1.443470e+00
Iteration 72 | Cost: 1.443470e+00
Iteration 73 | Cost: 1.443470e+00
Iteration 74 | Cost: 1.443470e+00
Iteration 75 | Cost: 1.443470e+00
Iteration 76 | Cost: 1.443470e+00
Iteration 77 | Cost: 1.443470e+00
Iteration 78 | Cost: 1.443470e+00
Iteration 79 | Cost: 1.443470e+00
Iteration 80 | Cost: 1.443470e+00
Iteration 81 | Cost: 1.443470e+00
Iteration 82 | Cost: 1.443470e+00
Iteration 83 | Cost: 1.443470e+00
Iteration 84 | Cost: 1.443470e+00
Iteration 85 | Cost: 1.443470e+00
Iteration 86 | Cost: 1.443470e+00
Iteration 87 | Cost: 1.443470e+00
Iteration 88 | Cost: 1.443470e+00
Iteration 89 | Cost: 1.443470e+00
Iteration 90 | Cost: 1.443470e+00
Iteration 91 | Cost: 1.443470e+00
Iteration 92 | Cost: 1.443470e+00
Iteration 93 | Cost: 1.443470e+00
Iteration 94 | Cost: 1.443470e+00
Iteration 95 | Cost: 1.443470e+00
Iteration 96 | Cost: 1.443470e+00
Iteration 97 | Cost: 1.443470e+00
Iteration 98 | Cost: 1.443470e+00
Iteration 99 | Cost: 1.443470e+00
Iteration 100 | Cost: 1.443470e+00
Iteration 101 | Cost: 1.443470e+00
Iteration 102 | Cost: 1.443470e+00
Iteration 103 | Cost: 1.443470e+00
Iteration 104 | Cost: 1.443470e+00
Iteration 105 | Cost: 1.443470e+00
Iteration 106 | Cost: 1.443470e+00
Iteration 107 | Cost: 1.443470e+00
Iteration 108 | Cost: 1.443470e+00
Iteration 109 | Cost: 1.443470e+00
Iteration 110 | Cost: 1.443470e+00
Iteration 111 | Cost: 1.443470e+00
Iteration 112 | Cost: 1.443470e+00
Iteration 113 | Cost: 1.443470e+00
Iteration 114 | Cost: 1.443470e+00
Iteration 115 | Cost: 1.443470e+00
Iteration 116 | Cost: 1.443470e+00
Iteration 117 | Cost: 1.443470e+00
Iteration 118 | Cost: 1.443470e+00
Iteration 119 | Cost: 1.443470e+00
Iteration 120 | Cost: 1.443470e+00
Iteration 121 | Cost: 1.443470e+00
Iteration 122 | Cost: 1.443470e+00
Iteration 123 | Cost: 1.443470e+00
Iteration 124 | Cost: 1.443470e+00
Iteration 125 | Cost: 1.443470e+00
Iteration 126 | Cost: 1.443470e+00
Iteration 127 | Cost: 1.443470e+00
Iteration 128 | Cost: 1.443470e+00
Iteration 129 | Cost: 1.443470e+00
Iteration 130 | Cost: 1.443470e+00
Iteration 131 | Cost: 1.443470e+00
Iteration 132 | Cost: 1.443470e+00
Iteration 133 | Cost: 1.443470e+00
Iteration 134 | Cost: 1.443470e+00
Iteration 135 | Cost: 1.443470e+00
Iteration 136 | Cost: 1.443470e+00
Iteration 137 | Cost: 1.443470e+00
Iteration 138 | Cost: 1.443470e+00
Iteration 139 | Cost: 1.443470e+00
Iteration 140 | Cost: 1.443470e+00
Iteration 141 | Cost: 1.443470e+00
Iteration 142 | Cost: 1.443470e+00
Iteration 143 | Cost: 1.443470e+00
Iteration 144 | Cost: 1.443470e+00
Iteration 145 | Cost: 1.443470e+00
Iteration 146 | Cost: 1.443470e+00
Iteration 147 | Cost: 1.443470e+00
Iteration 148 | Cost: 1.443470e+00
Iteration 149 | Cost: 1.443470e+00
Iteration 150 | Cost: 1.443470e+00
Iteration 151 | Cost: 1.443470e+00
Iteration 152 | Cost: 1.443470e+00
Iteration 153 | Cost: 1.443470e+00
Iteration 154 | Cost: 1.443470e+00
当前是第7次测试
Iteration 1 | Cost: 8.287440e+01
Iteration 2 | Cost: 2.753557e+01
Iteration 3 | Cost: 1.416686e+01
Iteration 4 | Cost: 5.488365e+00
Iteration 5 | Cost: 4.683488e+00
Iteration 6 | Cost: 4.052938e+00
Iteration 7 | Cost: 4.036771e+00
Iteration 8 | Cost: 3.966781e+00
Iteration 9 | Cost: 3.895898e+00
Iteration 10 | Cost: 3.823915e+00
Iteration 11 | Cost: 3.679079e+00
Iteration 12 | Cost: 3.501496e+00
Iteration 13 | Cost: 3.349963e+00
Iteration 14 | Cost: 3.207719e+00
Iteration 15 | Cost: 3.191838e+00
Iteration 16 | Cost: 3.132706e+00
Iteration 17 | Cost: 3.131423e+00
Iteration 18 | Cost: 3.128834e+00
Iteration 19 | Cost: 3.127054e+00
Iteration 20 | Cost: 3.124356e+00
Iteration 21 | Cost: 3.119096e+00
Iteration 22 | Cost: 3.112576e+00
Iteration 23 | Cost: 3.112304e+00
Iteration 24 | Cost: 3.109543e+00
Iteration 25 | Cost: 3.107945e+00
Iteration 26 | Cost: 3.107701e+00
Iteration 27 | Cost: 3.106703e+00
Iteration 28 | Cost: 3.105628e+00
Iteration 29 | Cost: 3.105210e+00
Iteration 30 | Cost: 3.104012e+00
Iteration 31 | Cost: 3.103347e+00
Iteration 32 | Cost: 3.102959e+00
Iteration 33 | Cost: 3.101801e+00
Iteration 34 | Cost: 3.101772e+00
Iteration 35 | Cost: 3.101760e+00
Iteration 36 | Cost: 3.101618e+00
Iteration 37 | Cost: 3.101617e+00
Iteration 38 | Cost: 3.101614e+00
Iteration 39 | Cost: 3.101611e+00
Iteration 40 | Cost: 3.101609e+00
Iteration 41 | Cost: 3.101607e+00
Iteration 42 | Cost: 3.101600e+00
Iteration 43 | Cost: 3.101597e+00
Iteration 44 | Cost: 3.101597e+00
Iteration 45 | Cost: 3.101596e+00
Iteration 46 | Cost: 3.101596e+00
Iteration 47 | Cost: 3.101595e+00
Iteration 48 | Cost: 3.101595e+00
Iteration 49 | Cost: 3.101593e+00
Iteration 50 | Cost: 3.101592e+00
Iteration 51 | Cost: 3.101592e+00
Iteration 52 | Cost: 3.101592e+00
Iteration 53 | Cost: 3.101591e+00
Iteration 54 | Cost: 3.101591e+00
Iteration 55 | Cost: 3.101591e+00
Iteration 56 | Cost: 3.101591e+00
Iteration 57 | Cost: 3.101591e+00
Iteration 58 | Cost: 3.101591e+00
Iteration 59 | Cost: 3.101591e+00
Iteration 60 | Cost: 3.101591e+00
Iteration 61 | Cost: 3.101591e+00
Iteration 62 | Cost: 3.101591e+00
Iteration 63 | Cost: 3.101591e+00
Iteration 64 | Cost: 3.101591e+00
Iteration 65 | Cost: 3.101591e+00
Iteration 66 | Cost: 3.101591e+00
Iteration 67 | Cost: 3.101591e+00
Iteration 68 | Cost: 3.101591e+00
Iteration 69 | Cost: 3.101591e+00
Iteration 70 | Cost: 3.101591e+00
Iteration 71 | Cost: 3.101591e+00
Iteration 72 | Cost: 3.101591e+00
Iteration 73 | Cost: 3.101591e+00
Iteration 74 | Cost: 3.101591e+00
Iteration 75 | Cost: 3.101591e+00
Iteration 76 | Cost: 3.101591e+00
Iteration 77 | Cost: 3.101591e+00
Iteration 78 | Cost: 3.101591e+00
Iteration 79 | Cost: 3.101591e+00
Iteration 80 | Cost: 3.101591e+00
Iteration 81 | Cost: 3.101591e+00
Iteration 82 | Cost: 3.101591e+00
Iteration 83 | Cost: 3.101591e+00
Iteration 84 | Cost: 3.101591e+00
Iteration 85 | Cost: 3.101591e+00
Iteration 86 | Cost: 3.101591e+00
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Iteration 89 | Cost: 3.101591e+00
Iteration 90 | Cost: 3.101591e+00
Iteration 91 | Cost: 3.101591e+00
Iteration 92 | Cost: 3.101591e+00
Iteration 93 | Cost: 3.101591e+00
Iteration 94 | Cost: 3.101591e+00
Iteration 95 | Cost: 3.101591e+00
Iteration 96 | Cost: 3.101591e+00
Iteration 97 | Cost: 3.101591e+00
Iteration 98 | Cost: 3.101591e+00
Iteration 99 | Cost: 3.101591e+00
Iteration 100 | Cost: 3.101591e+00
Iteration 101 | Cost: 3.101591e+00
Iteration 102 | Cost: 3.101591e+00
Iteration 103 | Cost: 3.101591e+00
Iteration 104 | Cost: 3.101591e+00
Iteration 105 | Cost: 3.101591e+00
Iteration 106 | Cost: 3.101591e+00
Iteration 107 | Cost: 3.101591e+00
Iteration 108 | Cost: 3.101591e+00
Iteration 109 | Cost: 3.101591e+00
Iteration 110 | Cost: 3.101591e+00
Iteration 111 | Cost: 3.101591e+00
Iteration 112 | Cost: 3.101591e+00
Iteration 113 | Cost: 3.101591e+00
Iteration 114 | Cost: 3.101591e+00
Iteration 115 | Cost: 3.101591e+00
Iteration 116 | Cost: 3.101591e+00
Iteration 117 | Cost: 3.101591e+00
Iteration 118 | Cost: 3.101591e+00
Iteration 119 | Cost: 3.101591e+00
Iteration 120 | Cost: 3.101591e+00
Iteration 121 | Cost: 3.101591e+00
Iteration 122 | Cost: 3.101591e+00
Iteration 123 | Cost: 3.101591e+00
Iteration 125 | Cost: 3.101591e+00
当前是第8次测试
Iteration 1 | Cost: 8.320954e+01
Iteration 2 | Cost: 2.907694e+01
Iteration 3 | Cost: 1.613078e+01
Iteration 4 | Cost: 7.814702e+00
Iteration 5 | Cost: 7.711843e+00
Iteration 6 | Cost: 7.588232e+00
Iteration 7 | Cost: 7.481019e+00
Iteration 8 | Cost: 7.347791e+00
Iteration 9 | Cost: 7.337625e+00
Iteration 10 | Cost: 7.322456e+00
Iteration 11 | Cost: 7.315629e+00
Iteration 12 | Cost: 7.294254e+00
Iteration 13 | Cost: 7.285747e+00
Iteration 14 | Cost: 7.275668e+00
Iteration 15 | Cost: 7.275183e+00
Iteration 16 | Cost: 7.273605e+00
Iteration 17 | Cost: 7.272049e+00
Iteration 18 | Cost: 7.269891e+00
Iteration 19 | Cost: 7.269117e+00
Iteration 20 | Cost: 7.269005e+00
Iteration 21 | Cost: 7.268334e+00
Iteration 22 | Cost: 7.268284e+00
Iteration 23 | Cost: 7.268235e+00
Iteration 24 | Cost: 7.268204e+00
Iteration 25 | Cost: 7.268169e+00
Iteration 26 | Cost: 7.268162e+00
Iteration 27 | Cost: 7.268154e+00
Iteration 28 | Cost: 7.268150e+00
Iteration 29 | Cost: 7.268150e+00
Iteration 30 | Cost: 7.268148e+00
Iteration 31 | Cost: 7.268148e+00
Iteration 32 | Cost: 7.268148e+00
Iteration 33 | Cost: 7.268148e+00
Iteration 34 | Cost: 7.268148e+00
Iteration 35 | Cost: 7.268148e+00
Iteration 36 | Cost: 7.268148e+00
Iteration 37 | Cost: 7.268148e+00
Iteration 38 | Cost: 7.268148e+00
Iteration 39 | Cost: 7.268148e+00
Iteration 40 | Cost: 7.268148e+00
Iteration 41 | Cost: 7.268148e+00
Iteration 42 | Cost: 7.268148e+00
Iteration 43 | Cost: 7.268148e+00
Iteration 44 | Cost: 7.268148e+00
Iteration 45 | Cost: 7.268148e+00
Iteration 46 | Cost: 7.268148e+00
Iteration 47 | Cost: 7.268148e+00
Iteration 48 | Cost: 7.268148e+00
Iteration 49 | Cost: 7.268148e+00
Iteration 50 | Cost: 7.268148e+00
Iteration 51 | Cost: 7.268148e+00
Iteration 52 | Cost: 7.268148e+00
Iteration 53 | Cost: 7.268148e+00
Iteration 54 | Cost: 7.268148e+00
Iteration 55 | Cost: 7.268148e+00
Iteration 56 | Cost: 7.268148e+00
Iteration 57 | Cost: 7.268148e+00
Iteration 58 | Cost: 7.268148e+00
Iteration 60 | Cost: 7.268148e+00
Iteration 61 | Cost: 7.268148e+00
当前是第9次测试
Iteration 1 | Cost: 8.416707e+01
Iteration 2 | Cost: 3.345965e+01
Iteration 3 | Cost: 2.112694e+01
Iteration 4 | Cost: 1.621542e+01
Iteration 5 | Cost: 1.605198e+01
Iteration 6 | Cost: 1.596514e+01
Iteration 7 | Cost: 1.596285e+01
Iteration 8 | Cost: 1.592089e+01
Iteration 9 | Cost: 1.589157e+01
Iteration 10 | Cost: 1.589011e+01
Iteration 11 | Cost: 1.587849e+01
Iteration 12 | Cost: 1.587363e+01
Iteration 13 | Cost: 1.586793e+01
Iteration 14 | Cost: 1.586791e+01
Iteration 15 | Cost: 1.586776e+01
Iteration 16 | Cost: 1.586772e+01
Iteration 17 | Cost: 1.586769e+01
Iteration 18 | Cost: 1.586769e+01
Iteration 19 | Cost: 1.586769e+01
Iteration 20 | Cost: 1.586769e+01
Iteration 21 | Cost: 1.586769e+01
Iteration 22 | Cost: 1.586769e+01
Iteration 23 | Cost: 1.586769e+01
Iteration 24 | Cost: 1.586769e+01
Iteration 25 | Cost: 1.586769e+01
Iteration 26 | Cost: 1.586769e+01
Iteration 27 | Cost: 1.586769e+01
Iteration 28 | Cost: 1.586769e+01
Iteration 29 | Cost: 1.586769e+01
Iteration 30 | Cost: 1.586769e+01
Iteration 32 | Cost: 1.586769e+01
Iteration 34 | Cost: 1.586769e+01
Iteration 35 | Cost: 1.586769e+01
当前是第10次测试
Iteration 1 | Cost: 8.751844e+01
Iteration 2 | Cost: 4.781977e+01
Iteration 3 | Cost: 3.633140e+01
Iteration 4 | Cost: 3.345113e+01
Iteration 5 | Cost: 3.340324e+01
Iteration 6 | Cost: 3.337310e+01
Iteration 7 | Cost: 3.337236e+01
Iteration 8 | Cost: 3.337221e+01
Iteration 9 | Cost: 3.337220e+01
Iteration 10 | Cost: 3.337220e+01
Iteration 11 | Cost: 3.337220e+01
Iteration 12 | Cost: 3.337220e+01
Iteration 13 | Cost: 3.337220e+01
Iteration 14 | Cost: 3.337220e+01
Iteration 15 | Cost: 3.337220e+01
Iteration 16 | Cost: 3.337220e+01
Iteration 17 | Cost: 3.337220e+01
Iteration 18 | Cost: 3.337220e+01
Iteration 19 | Cost: 3.337220e+01
Iteration 20 | Cost: 3.337220e+01
Iteration 21 | Cost: 3.337220e+01
Iteration 22 | Cost: 3.337220e+01
Iteration 23 | Cost: 3.337220e+01
Iteration 25 | Cost: 3.337220e+01
结束
close all;
plot(lambda_vec, error_train, lambda_vec, error_val);
legend('Train', 'Cross Validation');
xlabel('lambda');
ylabel('Error');
fprintf('lambda\t\tTrain Error\tValidation Error\n');
lambda Train Error Validation Error
for i = 1:length(lambda_vec)
fprintf(' %f\t%f\t%f\n', ...
lambda_vec(i), error_train(i), error_val(i));
end
0.000000 0.132052 17.594227
0.001000 0.168504 19.151418
0.003000 0.175454 17.425553
0.010000 0.221654 17.021792
0.030000 0.281849 12.828857
0.100000 0.459318 7.587014
0.300000 0.921760 4.636833
1.000000 2.076188 4.260625
3.000000 4.901351 3.822907
10.000000 16.092213 9.945508
对测试集进行测试验证
lambda_test = 3;
[~, error_test] = learningCurve(X_poly, y, X_poly_test, ytest, lambda_test);
当前是第1个样本
Iteration 1 | Cost: 9.061563e-01
Iteration 2 | Cost: 3.494525e-02
Iteration 3 | Cost: 3.301806e-02
Iteration 4 | Cost: 1.414663e-02
Iteration 5 | Cost: 1.410563e-03
Iteration 6 | Cost: 1.347257e-03
Iteration 7 | Cost: 1.166458e-04
Iteration 8 | Cost: 3.528311e-07
Iteration 9 | Cost: 1.335616e-07
Iteration 10 | Cost: 3.094671e-13
Iteration 11 | Cost: 3.006885e-13
Iteration 12 | Cost: 9.540107e-14
Iteration 13 | Cost: 8.621389e-29
Iteration 14 | Cost: 4.848384e-30
Iteration 15 | Cost: 1.256075e-31
Iteration 16 | Cost: 1.202497e-31
Iteration 17 | Cost: 5.696111e-32
Iteration 18 | Cost: 1.121777e-32
Iteration 19 | Cost: 2.102075e-34
Iteration 20 | Cost: 2.370864e-63
Iteration 21 | Cost: 4.648519e-65
Iteration 22 | Cost: 8.117423e-93
Iteration 23 | Cost: 4.675678e-97
Iteration 24 | Cost: 7.501737e-123
Iteration 25 | Cost: 1.859642e-126
Iteration 26 | Cost: 4.280529e-152
Iteration 27 | Cost: 1.333825e-157
Iteration 28 | Cost: 1.932813e-181
Iteration 29 | Cost: 2.445617e-188
Iteration 30 | Cost: 5.094924e-210
Iteration 31 | Cost: 1.977080e-217
Iteration 32 | Cost: 2.825401e-238
Iteration 33 | Cost: 1.018615e-246
Iteration 34 | Cost: 7.603341e-267
Iteration 35 | Cost: 6.505107e-276
Iteration 36 | Cost: 1.479317e-298
Iteration 37 | Cost: 6.885042e-306
Iteration 38 | Cost: 0.000000e+00
Iteration 40 | Cost: 0.000000e+00
Iteration 42 | Cost: 0.000000e+00
当前是第2个样本
Iteration 1 | Cost: 4.377204e-01
Iteration 2 | Cost: 1.043792e-01
Iteration 3 | Cost: 9.652732e-02
当前是第3个样本
Iteration 1 | Cost: 5.829284e+01
Iteration 2 | Cost: 4.414537e+01
Iteration 3 | Cost: 4.252973e+01
Iteration 4 | Cost: 4.235442e+01
Iteration 5 | Cost: 4.229886e+01
Iteration 6 | Cost: 4.227781e+01
Iteration 7 | Cost: 4.227638e+01
Iteration 8 | Cost: 4.227637e+01
Iteration 9 | Cost: 4.227612e+01
Iteration 10 | Cost: 4.227606e+01
Iteration 11 | Cost: 4.227606e+01
Iteration 12 | Cost: 4.227606e+01
Iteration 13 | Cost: 4.227606e+01
Iteration 14 | Cost: 4.227606e+01
Iteration 15 | Cost: 4.227606e+01
Iteration 16 | Cost: 4.227606e+01
Iteration 17 | Cost: 4.227606e+01
Iteration 18 | Cost: 4.227606e+01
Iteration 19 | Cost: 4.227606e+01
Iteration 20 | Cost: 4.227606e+01
Iteration 21 | Cost: 4.227606e+01
Iteration 22 | Cost: 4.227606e+01
Iteration 23 | Cost: 4.227606e+01
Iteration 24 | Cost: 4.227606e+01
Iteration 26 | Cost: 4.227606e+01
Iteration 27 | Cost: 4.227606e+01
Iteration 28 | Cost: 4.227606e+01
当前是第4个样本
Iteration 1 | Cost: 4.938395e+01
Iteration 2 | Cost: 4.241493e+01
Iteration 3 | Cost: 4.041742e+01
Iteration 4 | Cost: 3.743596e+01
Iteration 5 | Cost: 3.653168e+01
Iteration 6 | Cost: 3.638706e+01
Iteration 7 | Cost: 3.636015e+01
Iteration 8 | Cost: 3.634363e+01
Iteration 9 | Cost: 3.633905e+01
Iteration 10 | Cost: 3.633904e+01
Iteration 11 | Cost: 3.633904e+01
Iteration 12 | Cost: 3.633904e+01
Iteration 13 | Cost: 3.633904e+01
Iteration 14 | Cost: 3.633904e+01
Iteration 15 | Cost: 3.633904e+01
Iteration 16 | Cost: 3.633904e+01
Iteration 17 | Cost: 3.633904e+01
Iteration 18 | Cost: 3.633904e+01
Iteration 19 | Cost: 3.633904e+01
Iteration 20 | Cost: 3.633904e+01
Iteration 21 | Cost: 3.633904e+01
Iteration 22 | Cost: 3.633904e+01
Iteration 23 | Cost: 3.633904e+01
Iteration 24 | Cost: 3.633904e+01
当前是第5个样本
Iteration 1 | Cost: 1.023732e+02
Iteration 2 | Cost: 5.465598e+01
Iteration 3 | Cost: 3.841327e+01
Iteration 4 | Cost: 3.042877e+01
Iteration 5 | Cost: 3.001668e+01
Iteration 6 | Cost: 2.998451e+01
Iteration 7 | Cost: 2.958554e+01
Iteration 8 | Cost: 2.938406e+01
Iteration 9 | Cost: 2.920358e+01
Iteration 10 | Cost: 2.913440e+01
Iteration 11 | Cost: 2.910019e+01
Iteration 12 | Cost: 2.909671e+01
Iteration 13 | Cost: 2.909664e+01
Iteration 14 | Cost: 2.909663e+01
Iteration 15 | Cost: 2.909662e+01
Iteration 16 | Cost: 2.909662e+01
Iteration 17 | Cost: 2.909662e+01
Iteration 18 | Cost: 2.909662e+01
Iteration 19 | Cost: 2.909662e+01
Iteration 20 | Cost: 2.909662e+01
Iteration 21 | Cost: 2.909662e+01
Iteration 22 | Cost: 2.909662e+01
Iteration 23 | Cost: 2.909662e+01
Iteration 24 | Cost: 2.909662e+01
Iteration 25 | Cost: 2.909662e+01
Iteration 26 | Cost: 2.909662e+01
Iteration 27 | Cost: 2.909662e+01
Iteration 28 | Cost: 2.909662e+01
Iteration 29 | Cost: 2.909662e+01
Iteration 30 | Cost: 2.909662e+01
Iteration 31 | Cost: 2.909662e+01
Iteration 32 | Cost: 2.909662e+01
Iteration 33 | Cost: 2.909662e+01
Iteration 34 | Cost: 2.909662e+01
Iteration 35 | Cost: 2.909662e+01
Iteration 36 | Cost: 2.909662e+01
Iteration 37 | Cost: 2.909662e+01
Iteration 38 | Cost: 2.909662e+01
当前是第6个样本
Iteration 1 | Cost: 7.974612e+01
Iteration 2 | Cost: 3.681932e+01
Iteration 3 | Cost: 3.082928e+01
Iteration 4 | Cost: 2.744507e+01
Iteration 5 | Cost: 2.725356e+01
Iteration 6 | Cost: 2.649727e+01
Iteration 7 | Cost: 2.589117e+01
Iteration 8 | Cost: 2.582864e+01
Iteration 9 | Cost: 2.579753e+01
Iteration 10 | Cost: 2.579302e+01
Iteration 11 | Cost: 2.578799e+01
Iteration 12 | Cost: 2.578711e+01
Iteration 13 | Cost: 2.578693e+01
Iteration 14 | Cost: 2.578657e+01
Iteration 15 | Cost: 2.578654e+01
Iteration 16 | Cost: 2.578654e+01
Iteration 17 | Cost: 2.578654e+01
Iteration 18 | Cost: 2.578654e+01
Iteration 19 | Cost: 2.578654e+01
Iteration 20 | Cost: 2.578654e+01
Iteration 21 | Cost: 2.578654e+01
Iteration 22 | Cost: 2.578654e+01
Iteration 23 | Cost: 2.578654e+01
Iteration 24 | Cost: 2.578654e+01
Iteration 26 | Cost: 2.578654e+01
当前是第7个样本
Iteration 1 | Cost: 8.304494e+01
Iteration 2 | Cost: 3.043031e+01
Iteration 3 | Cost: 2.286042e+01
Iteration 4 | Cost: 2.269376e+01
Iteration 5 | Cost: 2.269259e+01
Iteration 6 | Cost: 2.269255e+01
Iteration 7 | Cost: 2.269255e+01
Iteration 8 | Cost: 2.269255e+01
Iteration 9 | Cost: 2.269255e+01
Iteration 10 | Cost: 2.269255e+01
Iteration 11 | Cost: 2.269255e+01
Iteration 12 | Cost: 2.269255e+01
Iteration 13 | Cost: 2.269255e+01
Iteration 14 | Cost: 2.269255e+01
Iteration 15 | Cost: 2.269255e+01
Iteration 16 | Cost: 2.269255e+01
Iteration 17 | Cost: 2.269255e+01
Iteration 18 | Cost: 2.269255e+01
Iteration 19 | Cost: 2.269255e+01
当前是第8个样本
Iteration 1 | Cost: 7.294146e+01
Iteration 2 | Cost: 2.595715e+01
Iteration 3 | Cost: 2.022269e+01
Iteration 4 | Cost: 1.992930e+01
Iteration 5 | Cost: 1.992017e+01
Iteration 6 | Cost: 1.992017e+01
Iteration 7 | Cost: 1.992017e+01
Iteration 8 | Cost: 1.992017e+01
Iteration 9 | Cost: 1.992017e+01
Iteration 10 | Cost: 1.992017e+01
Iteration 11 | Cost: 1.992017e+01
Iteration 12 | Cost: 1.992017e+01
Iteration 13 | Cost: 1.992017e+01
Iteration 14 | Cost: 1.992017e+01
Iteration 15 | Cost: 1.992017e+01
Iteration 16 | Cost: 1.992017e+01
Iteration 17 | Cost: 1.992017e+01
Iteration 18 | Cost: 1.992017e+01
Iteration 19 | Cost: 1.992017e+01
Iteration 20 | Cost: 1.992017e+01
Iteration 21 | Cost: 1.992017e+01
Iteration 22 | Cost: 1.992017e+01
Iteration 23 | Cost: 1.992017e+01
Iteration 24 | Cost: 1.992017e+01
Iteration 25 | Cost: 1.992017e+01
当前是第9个样本
Iteration 1 | Cost: 6.775954e+01
Iteration 2 | Cost: 2.711641e+01
Iteration 3 | Cost: 2.706970e+01
Iteration 4 | Cost: 2.176344e+01
Iteration 5 | Cost: 1.897662e+01
Iteration 6 | Cost: 1.865884e+01
Iteration 7 | Cost: 1.855194e+01
Iteration 8 | Cost: 1.853935e+01
Iteration 9 | Cost: 1.852201e+01
Iteration 10 | Cost: 1.852105e+01
Iteration 11 | Cost: 1.851799e+01
Iteration 12 | Cost: 1.851684e+01
Iteration 13 | Cost: 1.851552e+01
Iteration 14 | Cost: 1.851502e+01
Iteration 15 | Cost: 1.851491e+01
Iteration 16 | Cost: 1.851490e+01
Iteration 17 | Cost: 1.851490e+01
Iteration 18 | Cost: 1.851490e+01
Iteration 19 | Cost: 1.851490e+01
Iteration 20 | Cost: 1.851490e+01
Iteration 21 | Cost: 1.851490e+01
Iteration 22 | Cost: 1.851490e+01
Iteration 23 | Cost: 1.851490e+01
Iteration 24 | Cost: 1.851490e+01
Iteration 25 | Cost: 1.851490e+01
Iteration 26 | Cost: 1.851490e+01
Iteration 27 | Cost: 1.851490e+01
Iteration 28 | Cost: 1.851490e+01
Iteration 29 | Cost: 1.851490e+01
Iteration 30 | Cost: 1.851490e+01
Iteration 31 | Cost: 1.851490e+01
Iteration 33 | Cost: 1.851490e+01
Iteration 34 | Cost: 1.851490e+01
当前是第10个样本
Iteration 1 | Cost: 8.076748e+01
Iteration 2 | Cost: 3.723754e+01
Iteration 3 | Cost: 1.907921e+01
Iteration 4 | Cost: 1.744677e+01
Iteration 5 | Cost: 1.704092e+01
Iteration 6 | Cost: 1.684336e+01
Iteration 7 | Cost: 1.676114e+01
Iteration 8 | Cost: 1.671684e+01
Iteration 9 | Cost: 1.669978e+01
Iteration 10 | Cost: 1.669149e+01
Iteration 11 | Cost: 1.668929e+01
Iteration 12 | Cost: 1.668719e+01
Iteration 13 | Cost: 1.668643e+01
Iteration 14 | Cost: 1.668610e+01
Iteration 15 | Cost: 1.668597e+01
Iteration 16 | Cost: 1.668591e+01
Iteration 17 | Cost: 1.668589e+01
Iteration 18 | Cost: 1.668588e+01
Iteration 19 | Cost: 1.668588e+01
Iteration 20 | Cost: 1.668588e+01
Iteration 21 | Cost: 1.668588e+01
Iteration 22 | Cost: 1.668588e+01
Iteration 23 | Cost: 1.668588e+01
Iteration 24 | Cost: 1.668588e+01
Iteration 25 | Cost: 1.668588e+01
Iteration 26 | Cost: 1.668588e+01
Iteration 27 | Cost: 1.668588e+01
Iteration 28 | Cost: 1.668588e+01
Iteration 29 | Cost: 1.668588e+01
Iteration 30 | Cost: 1.668588e+01
Iteration 31 | Cost: 1.668588e+01
Iteration 32 | Cost: 1.668588e+01
Iteration 33 | Cost: 1.668588e+01
Iteration 34 | Cost: 1.668588e+01
Iteration 35 | Cost: 1.668588e+01
Iteration 36 | Cost: 1.668588e+01
Iteration 37 | Cost: 1.668588e+01
Iteration 38 | Cost: 1.668588e+01
Iteration 39 | Cost: 1.668588e+01
Iteration 40 | Cost: 1.668588e+01
当前是第11个样本
Iteration 1 | Cost: 7.371899e+01
Iteration 2 | Cost: 3.189996e+01
Iteration 3 | Cost: 1.633102e+01
Iteration 4 | Cost: 1.537303e+01
Iteration 5 | Cost: 1.531429e+01
Iteration 6 | Cost: 1.529485e+01
Iteration 7 | Cost: 1.525368e+01
Iteration 8 | Cost: 1.520559e+01
Iteration 9 | Cost: 1.520336e+01
Iteration 10 | Cost: 1.519795e+01
Iteration 11 | Cost: 1.519552e+01
Iteration 12 | Cost: 1.519417e+01
Iteration 13 | Cost: 1.519414e+01
Iteration 14 | Cost: 1.519353e+01
Iteration 15 | Cost: 1.519332e+01
Iteration 16 | Cost: 1.519311e+01
Iteration 17 | Cost: 1.519308e+01
Iteration 18 | Cost: 1.519306e+01
Iteration 19 | Cost: 1.519306e+01
Iteration 20 | Cost: 1.519306e+01
Iteration 21 | Cost: 1.519306e+01
Iteration 22 | Cost: 1.519306e+01
Iteration 23 | Cost: 1.519306e+01
Iteration 24 | Cost: 1.519306e+01
Iteration 25 | Cost: 1.519306e+01
Iteration 26 | Cost: 1.519306e+01
Iteration 27 | Cost: 1.519306e+01
Iteration 28 | Cost: 1.519306e+01
Iteration 29 | Cost: 1.519306e+01
Iteration 30 | Cost: 1.519306e+01
Iteration 31 | Cost: 1.519306e+01
Iteration 32 | Cost: 1.519306e+01
Iteration 33 | Cost: 1.519306e+01
Iteration 34 | Cost: 1.519306e+01
Iteration 35 | Cost: 1.519306e+01
Iteration 36 | Cost: 1.519306e+01
Iteration 37 | Cost: 1.519306e+01
Iteration 38 | Cost: 1.519306e+01
Iteration 39 | Cost: 1.519306e+01
Iteration 40 | Cost: 1.519306e+01
Iteration 41 | Cost: 1.519306e+01
Iteration 42 | Cost: 1.519306e+01
Iteration 43 | Cost: 1.519306e+01
Iteration 44 | Cost: 1.519306e+01
Iteration 45 | Cost: 1.519306e+01
Iteration 46 | Cost: 1.519306e+01
Iteration 47 | Cost: 1.519306e+01
Iteration 48 | Cost: 1.519306e+01
Iteration 50 | Cost: 1.519306e+01
Iteration 51 | Cost: 1.519306e+01
Iteration 52 | Cost: 1.519306e+01
当前是第12个样本
Iteration 1 | Cost: 8.416707e+01
Iteration 2 | Cost: 3.345965e+01
Iteration 3 | Cost: 2.112694e+01
Iteration 4 | Cost: 1.621542e+01
Iteration 5 | Cost: 1.605198e+01
Iteration 6 | Cost: 1.596514e+01
Iteration 7 | Cost: 1.596285e+01
Iteration 8 | Cost: 1.592089e+01
Iteration 9 | Cost: 1.589157e+01
Iteration 10 | Cost: 1.589011e+01
Iteration 11 | Cost: 1.587849e+01
Iteration 12 | Cost: 1.587363e+01
Iteration 13 | Cost: 1.586793e+01
Iteration 14 | Cost: 1.586791e+01
Iteration 15 | Cost: 1.586776e+01
Iteration 16 | Cost: 1.586772e+01
Iteration 17 | Cost: 1.586769e+01
Iteration 18 | Cost: 1.586769e+01
Iteration 19 | Cost: 1.586769e+01
Iteration 20 | Cost: 1.586769e+01
Iteration 21 | Cost: 1.586769e+01
Iteration 22 | Cost: 1.586769e+01
Iteration 23 | Cost: 1.586769e+01
Iteration 24 | Cost: 1.586769e+01
Iteration 25 | Cost: 1.586769e+01
Iteration 26 | Cost: 1.586769e+01
Iteration 27 | Cost: 1.586769e+01
Iteration 28 | Cost: 1.586769e+01
Iteration 29 | Cost: 1.586769e+01
Iteration 30 | Cost: 1.586769e+01
Iteration 32 | Cost: 1.586769e+01
Iteration 34 | Cost: 1.586769e+01
Iteration 35 | Cost: 1.586769e+01
学习结束
error_test(end)
ans = 3.8599