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import matplotlib.pyplot as plt
# %matplotlib inline
import numpy as np
import tensorflow
import tensorflow.keras as keras
# On some implementations of matplotlib, you may need to change this value
IMAGE_SIZE = 100
def generate_a_drawing(figsize, U, V, noise=0.0):
fig = plt.figure(figsize=(figsize, figsize))
ax = plt.subplot(111)
plt.axis('Off')
ax.set_xlim(0, figsize)
ax.set_ylim(0, figsize)
ax.fill(U, V, "k")
fig.canvas.draw()
imdata = np.frombuffer(fig.canvas.tostring_rgb(), dtype=np.uint8)[::3].astype(np.float32)
imdata = imdata + noise * np.random.random(imdata.size)
plt.close(fig)
return imdata
def generate_a_rectangle(noise=0.0, free_location=False):
figsize = 1.0
U = np.zeros(4)
V = np.zeros(4)
if free_location:
corners = np.random.random(4)
top = max(corners[0], corners[1])
bottom = min(corners[0], corners[1])
left = min(corners[2], corners[3])
right = max(corners[2], corners[3])
else:
side = (0.3 + 0.7 * np.random.random()) * figsize
top = figsize / 2 + side / 2
bottom = figsize / 2 - side / 2
left = bottom
right = top
U[0] = U[1] = top
U[2] = U[3] = bottom
V[0] = V[3] = left
V[1] = V[2] = right
return generate_a_drawing(figsize, U, V, noise)
def generate_a_disk(noise=0.0, free_location=False):
figsize = 1.0
if free_location:
center = np.random.random(2)
else:
center = (figsize / 2, figsize / 2)
radius = (0.3 + 0.7 * np.random.random()) * figsize / 2
N = 50
U = np.zeros(N)
V = np.zeros(N)
i = 0
for t in np.linspace(0, 2 * np.pi, N):
U[i] = center[0] + np.cos(t) * radius
V[i] = center[1] + np.sin(t) * radius
i = i + 1
return generate_a_drawing(figsize, U, V, noise)
def generate_a_triangle(noise=0.0, free_location=False):
figsize = 1.0
if free_location:
U = np.random.random(3)
V = np.random.random(3)
else:
size = (0.3 + 0.7 * np.random.random()) * figsize / 2
middle = figsize / 2
U = (middle, middle + size, middle - size)
V = (middle + size, middle - size, middle - size)
imdata = generate_a_drawing(figsize, U, V, noise)
return [imdata, [U[0], V[0], U[1], V[1], U[2], V[2]]]
im = generate_a_rectangle(10, True)
plt.imshow(im.reshape(IMAGE_SIZE, IMAGE_SIZE), cmap='gray')
im = generate_a_disk(10)
plt.imshow(im.reshape(IMAGE_SIZE, IMAGE_SIZE), cmap='gray')
[im, v] = generate_a_triangle(20, False)
plt.imshow(im.reshape(IMAGE_SIZE, IMAGE_SIZE), cmap='gray')
def generate_dataset_classification(nb_samples, noise=0.0, free_location=False):
# Getting im_size:
im_size = generate_a_rectangle().shape[0]
X = np.zeros([nb_samples, im_size])
Y = np.zeros(nb_samples)
print('Creating data:')
for i in range(nb_samples):
if i % 10 == 0:
print(i)
category = np.random.randint(3)
if category == 0:
X[i] = generate_a_rectangle(noise, free_location)
elif category == 1:
X[i] = generate_a_disk(noise, free_location)
else:
[X[i], V] = generate_a_triangle(noise, free_location)
Y[i] = category
X = (X + noise) / (255 + 2 * noise)
return [X, Y]
def generate_test_set_classification():
np.random.seed(42)
[X_test, Y_test] = generate_dataset_classification(300, 20, True)
Y_test = keras.utils.to_categorical(Y_test, 3)
return [X_test, Y_test]
def generate_dataset_regression(nb_samples, noise=0.0):
# Getting im_size:
im_size = generate_a_triangle()[0].shape[0]
X = np.zeros([nb_samples, im_size])
Y = np.zeros([nb_samples, 6])
print('Creating data:')
for i in range(nb_samples):
if i % 10 == 0:
print(i)
[X[i], Y[i]] = generate_a_triangle(noise, True)
X = (X + noise) / (255 + 2 * noise)
return [X, Y]
import matplotlib.patches as patches
def visualize_prediction(x, y):
fig, ax = plt.subplots(figsize=(5, 5))
I = x.reshape((IMAGE_SIZE, IMAGE_SIZE))
ax.imshow(I, extent=[-0.15, 1.15, -0.15, 1.15], cmap='gray')
ax.set_xlim([0, 1])
ax.set_ylim([0, 1])
xy = y.reshape(3, 2)
tri = patches.Polygon(xy, closed=True, fill=False, edgecolor='r', linewidth=5, alpha=0.5)
ax.add_patch(tri)
plt.show()
def generate_test_set_regression():
np.random.seed(42)
[X_test, Y_test] = generate_dataset_regression(300, 20)
return [X_test, Y_test]
#####################################################################
###
# Question 4
###
from keras.models import Sequential
from keras.layers import Dense, Dropout, Conv1D, Conv2D, MaxPooling1D, MaxPooling2D, Flatten, Activation
from tensorflow.keras.optimizers import Adam
num_pixels = IMAGE_SIZE*IMAGE_SIZE
num_classes = 3
[X_train, Y_train] = generate_dataset_classification(300, 20, True)
[X_test, Y_test] = generate_test_set_classification()
#X_train = X_train.reshape(X_train.shape[0], IMAGE_SIZE, IMAGE_SIZE, 1)
#X_test = X_test.reshape(X_test.shape[0], IMAGE_SIZE, IMAGE_SIZE, 1)
X_train = X_train.reshape(X_train.shape[0], num_pixels, 1)
X_test = X_test.reshape(X_test.shape[0], num_pixels, 1)
X_train = X_train.astype('float32')
X_test = X_test.astype('float32')
Y_train = Y_train.astype('float32')
Y_test = Y_test.astype('float32')
X_train = X_train / 255
X_test = X_test / 255
num_classes = 3
Y_train = keras.utils.to_categorical(Y_train, num_classes)
model = Sequential()
model.add(Conv1D(32, kernel_size=3, padding='same',input_shape=(num_pixels,1)))
model.add(Activation('relu'))
model.add(Conv1D(64,kernel_size=3, padding='same'))
model.add(Activation('relu'))
model.add(MaxPooling1D(padding='same', pool_size=2))
model.add(Dropout(0.1))
model.add(Conv1D(32,kernel_size=3, padding='same'))
model.add(Activation('relu'))
model.add(Conv1D(64,kernel_size=3, padding='same'))
model.add(Activation('relu'))
model.add(MaxPooling1D(padding='same', pool_size=2))
model.add(Dropout(0.1))
model.add(Flatten())
model.add(Dense(num_pixels))
model.add(Activation('relu'))
model.add(Dropout(0.1))
model.add(Dense(num_classes))
model.add(Activation('softmax'))
model.compile(loss='categorical_crossentropy', optimizer='adam', metrics=['accuracy'])
model.summary()
batch_size=64
epochs=10
val_list = model.fit(X_train, Y_train, validation_data=(X_test, Y_test), epochs=epochs, batch_size=batch_size)
_, accuracy = model.evaluate(X_test, Y_test)