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| from matplotlib import animation | |
| N=500 # new sample size (N=500) | |
| # Define new cost function w.r.t. new weights of second hidden layer: | |
| def costs_3(x,y,w_a,w_b,seed_): | |
| np.random.seed(seed_) | |
| w0=np.random.randn(hidden_0,784) | |
| w1= np.random.randn(hidden_1,hidden_0) | |
| w2=np.random.randn(10,hidden_1) | |
| w1[200][30] = w_a # w200–30(1) | |
| w1[200][31] = w_b # w200–31(1) | |
| a0 = expit(w0 @ x.T) | |
| a1= expit(w1@a0) | |
| pred= expit(w2 @ a1) | |
| return np.mean(np.sum((y.T-pred)**2,axis=0)) | |
| # Calculate z-values w.r.t. random seed with new cost function: | |
| zs_3 = np.array([costs_3(X_train[0:N],y_train_oh[0:N] | |
| ,np.array([[mp1]]), np.array([[mp2]]),3) | |
| for mp1, mp2 in zip(np.ravel(M1), np.ravel(M2))]) | |
| Z_3 = zs_3.reshape(M1.shape) | |
| zs_16 = np.array([costs_3(X_train[0:N],y_train_oh[0:N] | |
| ,np.array([[mp1]]), np.array([[mp2]]),16) | |
| for mp1, mp2 in zip(np.ravel(M1), np.ravel(M2))]) | |
| Z_16 = zs_16.reshape(M1.shape) | |
| zs_60 = np.array([costs_3(X_train[0:N],y_train_oh[0:N] | |
| ,np.array([[mp1]]), np.array([[mp2]]),60) | |
| for mp1, mp2 in zip(np.ravel(M1), np.ravel(M2))]) | |
| Z_60 = zs_60.reshape(M1.shape) | |
| zs_140 = np.array([costs_3(X_train[0:N],y_train_oh[0:N] | |
| ,np.array([[mp1]]), np.array([[mp2]]),140) | |
| for mp1, mp2 in zip(np.ravel(M1), np.ravel(M2))]) | |
| Z_140 = zs_140.reshape(M1.shape) | |
| titlefontsize_=16 | |
| fontsize_=19 | |
| # Add subplots to figure: | |
| fig = plt.figure(figsize=(8,8)) | |
| ax0 = fig.add_subplot(2, 2, 1,projection='3d' ) | |
| ax1=fig.add_subplot(2, 2, 2,projection='3d') | |
| ax2=fig.add_subplot(2, 2, 3,projection='3d') | |
| ax3=fig.add_subplot(2, 2, 4,projection='3d') | |
| # Customize subplots: | |
| ax0.set_title('Seed:3', fontsize=titlefontsize_) | |
| ax0.set_xlabel(r'$w_a$', fontsize=fontsize_, labelpad=-4) | |
| ax0.set_ylabel(r'$w_b$', fontsize=fontsize_, labelpad=-9) | |
| ax0.set_zlabel("costs", fontsize=fontsize_, labelpad=-7) | |
| ax0.set_xticklabels([]) | |
| ax0.set_yticklabels([]) | |
| ax0.set_zticklabels([]) | |
| ax1.set_title('Seed:16', fontsize=titlefontsize_) | |
| ax1.set_xlabel(r'$w_a$', fontsize=fontsize_, labelpad=-4) | |
| ax1.set_ylabel(r'$w_b$', fontsize=fontsize_, labelpad=-9) | |
| ax1.set_zlabel("costs", fontsize=fontsize_, labelpad=-7) | |
| ax1.set_xticklabels([]) | |
| ax1.set_yticklabels([]) | |
| ax1.set_zticklabels([]) | |
| ax2.set_title('Seed:60', fontsize=titlefontsize_) | |
| ax2.set_xlabel(r'$w_a$', fontsize=fontsize_, labelpad=-4) | |
| ax2.set_ylabel(r'$w_b$', fontsize=fontsize_, labelpad=-9) | |
| ax2.set_zlabel("costs", fontsize=fontsize_, labelpad=-7) | |
| ax2.set_xticklabels([]) | |
| ax2.set_yticklabels([]) | |
| ax2.set_zticklabels([]) | |
| ax3.set_title('Seed:140', fontsize=titlefontsize_) | |
| ax3.set_xlabel(r'$w_a$', fontsize=fontsize_, labelpad=-4) | |
| ax3.set_ylabel(r'$w_b$', fontsize=fontsize_, labelpad=-9) | |
| ax3.set_zlabel("costs", fontsize=fontsize_, labelpad=-7) | |
| ax3.set_xticklabels([]) | |
| ax3.set_yticklabels([]) | |
| ax3.set_zticklabels([]) | |
| # Rotate plots around the z-axis: | |
| def rotate(angle): | |
| ax0.view_init(elev=50,azim=angle) | |
| ax1.view_init(elev=50,azim=angle) | |
| ax2.view_init(elev=50,azim=angle) | |
| ax3.view_init(elev=50,azim=angle) | |
| # Create loss landscapes w.r.t. seed: | |
| ax0.plot_surface(M1, M2, Z_3, cmap='terrain', | |
| antialiased=True,cstride=1,rstride=1, alpha=0.99) | |
| ax1.plot_surface(M1, M2, Z_16, cmap='terrain', | |
| antialiased=True,cstride=1,rstride=1, alpha=0.99) | |
| ax2.plot_surface(M1, M2, Z_60, cmap='terrain', | |
| antialiased=True,cstride=1,rstride=1, alpha=0.99) | |
| ax3.plot_surface(M1, M2, Z_140, cmap='terrain', | |
| antialiased=True,cstride=1,rstride=1, alpha=0.99) | |
| plt.tight_layout() | |
| rot_animation = animation.FuncAnimation(fig, rotate, frames=np.arange(0,362,2),interval=100) | |
| rot_animation.save('RotLoss_500.gif', dpi=80, writer='imagemagick') |
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