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我試圖在此WildML - Implementing a Neural Network From Scratch教程中重現模型,但使用Keras代替。我嘗試使用與教程相同的所有配置,但即使在調整了時代,批量大小,激活函數和隱藏層中的單元數後,我仍然得到了線性分類:Keras模型爲make_moons數據創建線性分類
這裏是我的代碼:
from keras.models import Sequential
from keras.layers import Dense, Activation
from keras.utils.visualize_util import plot
from keras.utils.np_utils import to_categorical
import numpy as np
import matplotlib.pyplot as plt
import sklearn
from sklearn import datasets, linear_model
# Build model
model = Sequential()
model.add(Dense(input_dim=2, output_dim=3, activation="tanh", init="normal"))
model.add(Dense(output_dim=2, activation="softmax"))
model.compile(loss='categorical_crossentropy', optimizer='sgd', metrics=['accuracy'])
# Train
np.random.seed(0)
X, y = sklearn.datasets.make_moons(200, noise=0.20)
y_binary = to_categorical(y)
model.fit(X, y_binary, nb_epoch=100)
# Helper function to plot a decision boundary.
# If you don't fully understand this function don't worry, it just generates the contour plot below.
def plot_decision_boundary(pred_func):
# Set min and max values and give it some padding
x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5
y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5
h = 0.01
# Generate a grid of points with distance h between them
xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))
# Predict the function value for the whole gid
Z = pred_func(np.c_[xx.ravel(), yy.ravel()])
Z = Z.reshape(xx.shape)
# Plot the contour and training examples
plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral)
plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Spectral)
# Predict and plot
plot_decision_boundary(lambda x: model.predict_classes(x, batch_size=200))
plt.title("Decision Boundary for hidden layer size 3")
plt.show()
2000 epochs ??爲什麼這麼多?是否存在一個閾值,超出該閾值模型開始呈現非線性行爲? – vgoklani
這不是一個令人滿意的分析。你從不調整學習速度和批量。我非常肯定,一個好的學習速度/亞當學習將更加強大。您也沒有跳過數據標準化步驟,這非常重要。 – sascha
優化程序= Adam(lr = 0.1)或優化程序= SGD(lr = 0.1)和kernel_initializer =「glorot_normal」似乎工作正常。爲什麼SGD對np.random.seed(0)有問題,對我來說仍然是一個懸而未決的問題。 –