DL之GD:利用LogisticGD算法(梯度下降)依次基于一次函数和二次函数分布的数据集实现二分类预测(超平面可视化)
目录
利用LogisticGD算法(梯度下降)依次基于一次函数和二次函数分布的数据集实现二分类预测(超平面可视化)
相关文章
DL之GD:利用LogisticGD算法(梯度下降)依次基于一次函数和二次函数分布的数据集实现二分类预测(超平面可视化)
DL之GD:利用LogisticGD算法(梯度下降)依次基于一次函数和二次函数分布的数据集实现二分类预测(超平面可视化)实现
后期更新……
- [ 1. 0.06747879 -0.97085008]
- data_x
- (300, 3) [[ 1. 0.83749402 0.80142971]
- [ 1. -0.93315714 0.91389867]
- [ 1. -0.72558136 -0.43234329]
- [ 1. 0.21216637 0.88845027]
- [ 1. 0.70547108 -0.99548153]]
- 因为Linear_function函数无意义,经过Linear_function函数处理后,data_x等价于data_z
- data_y
- (300,) [-1. -1. -1. -1. 1.]
- data_x: (300, 3)
- data_z: (300, 3)
- data_y: (300,)
- [228 106 146 250 91 214 47 49 178 90]
- Number of iterations: 26
-
- Plot took 0.10 seconds.
- Plot took 0.04 seconds.
- Target weights: [ -0.49786797 5.28778784 -11.997255 ]
- Target in-sample error: 3.33%
- Target out-of-sample error: 6.21%
- Hypothesis (N=300) weights: [-0.45931854 3.20434478 -7.70825364]
- Hypothesis (N=300) in-sample error: 4.33%
- Hypothesis (N=300) out-of-sample error: 6.08%
- Hypothesis (N=10) weights: [-1.35583449 3.90067866 -5.99553537]
- Hypothesis (N=10) in-sample error: 10.00%
- Hypothesis (N=10) out-of-sample error: 12.87%
- Error history took 88.89 seconds.
- Plot took 17.72 seconds.
- Plot took 35.88 seconds.
- GD_w_hs[-1] [-1.35583449 3.90067866 -5.99553537]
- dimension_z 5
- data_x
- (30, 3) [[ 1. -0.0609991 -0.15447425]
- [ 1. -0.13429796 -0.89691689]
- [ 1. 0.12475253 0.36980185]
- [ 1. -0.0182513 0.74771272]
- [ 1. 0.50585605 -0.04961719]]
- 因为Linear_function函数无意义,经过Linear_function函数处理后,data_x等价于data_z
- data_y
- (30,) [-1. 1. 1. 1. -1.]
-
- Plot took 1.02 seconds.
- Number of iterations: 105
-
- Plot took 1.03 seconds.
- Target weights: [-3 2 3 6 9 10]
- Hypothesis weights: [-1.23615696 -0.9469097 1.76449666 2.09453304 5.62678124 5.06054409]
- Hypothesis in-sample error: 10.00%
- Hypothesis out-of-sample error: 15.47%
- Plot took 16.58 seconds.
- GD_w_hs[-1] [-1.23615696 -0.9469097 1.76449666 2.09453304 5.62678124 5.06054409]
- def in_sample_error(z, y, logisticGD_function):
- y_h = (logisticGD_function(z) >= 0.5)*2-1
- return np.sum(y != y_h) / float(len(y))
-
-
- def estimate_out_of_sample_error(Product_x_function, NOrderPoly_Function,Pre_Logistic_function, logisticGD_function, N=10000, Linear_function_h=None):
- x = np.array([Product_x_function() for i in range(N)])
- z = np.apply_along_axis(NOrderPoly_Function, 1, x)
- if not Linear_function_h is None:
- z_h = np.apply_along_axis(Linear_function_h, 1, x)
- else:
- z_h = z
- y = Pre_Logistic_function(z)
- y_h = (logisticGD_function(z_h) >= 0.5)*2-1
- return np.sum(y != y_h) / float(N)
-
-
- def ErrorCurve_Plot(N,GD_w_hs, cross_entropy_error):
- start_time = time.time()
- fig = plt.figure() figsize=(8, 6)
- ax = fig.add_subplot(1, 1, 1)
- ax.set_xlabel(r'Iteration', fontsize=12)
- ax.set_ylabel(r'In-Sample Error ($E_{in}$)', fontsize=12)
- ax.set_title(r'Gradient Descent Evolution, N={}'.format(N), fontsize=12)
- ax.set_xlim(0, GD_w_hs.shape[0]-1)
- ax.set_ylim(0, 1)
- ax.xaxis.grid(color='gray', linestyle='dashed')
- ax.yaxis.grid(color='gray', linestyle='dashed')
- ax.set_axisbelow(True)
- ax.plot(range(GD_w_hs.shape[0]), np.apply_along_axis(cross_entropy_error, 1, GD_w_hs), 'r-')
- plt.show()
- print('Plot took {:.2f} seconds.'.format(time.time()-start_time))
网站声明:如果转载,请联系本站管理员。否则一切后果自行承担。
加入交流群
请使用微信扫一扫!