Uma série temporal é uma coleção de dados indexados, listados ou estrurados em grafos que possuem uma ordem temporal intrínseca. Em geral, uma série temporal é uma sequência de amostras coletadas em intervalos regulares de tempo, sendo esta sequência definica como série-temporal discreta.
Neste notebook será investigada a utilização do Gráfico de Recorrência (RP, do inglês Recurrence Plot) como forma de representação de séries temporais, de modo que seja possível realizar a tarefa de classificação das mesmas utilizando Redes Neurais Artificiais Profundas (mais precisamente a arquitetura CNN, do inglês Convolutional Neural Network).
Uma vez que CNN's exigem uma imagem como entrada do modelo, a série temporal deve ser convertida em representação gráfica. Uma abordagem típica para esta tarefa é converter a série-temporal original em imagem através de seu Espectograma; porém, há uma perda considerável de informações nesta estratégia, pois em um Espectrograma importa onde um efeito aparece em contraste com CNNs, onde é assumido que um recurso é do mesmo tipo, não importa onde esteja na imagem. O uso de gráficos de recorrência como visualização da estrutura de recorrência de uma série temporal é, portanto, vantajoso.
In [1]:
import numpy as np # linear algebra
import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)
from scipy.spatial.distance import pdist, squareform #scipy spatial distance
import sklearn as sk
import sklearn.metrics.pairwise
import matplotlib.pyplot as plt
import os
import keras
from keras.models import Sequential
from keras.layers import Dense, Dropout, Activation, Flatten
from keras.layers import Convolution2D, MaxPooling2D, LeakyReLU
from keras import metrics
from keras import backend as K
from keras.utils import plot_model
import time
from skimage.transform import resize
from sklearn.model_selection import train_test_split
from keras.utils import to_categorical
from keras.utils import np_utils
Using TensorFlow backend.
In [1]:
#modified from https://stackoverflow.com/questions/33650371/recurrence-plot-in-python
def recurrence_plot(s, eps=None, steps=None):
if eps==None: eps=0.1
if steps==None: steps=10
d = sk.metrics.pairwise.pairwise_distances(s)
d = np.floor(d / eps)
d[d > steps] = steps
#Z = squareform(d)
return d
Como primeiro exemplo, vamos criar um RP de uma série-temporal discreta aleatória e outra série sinus. Claramente, a estrutura regular do Sinus fica visível, pois os padrões rrecorrentes da série são expostos.
In [6]:
fig = plt.figure(figsize=(20,15))
fig.tight_layout() # Or equivalently, "plt.tight_layout()"
random_series = np.random.random(1000)
ax = fig.add_subplot(1, 2, 1)
ax.imshow(recurrence_plot(random_series[:,None]), aspect="auto")
ax = fig.add_subplot(2, 2, 1)
plt.plot(list(range(0,1000)), random_series)
sinus_series = np.sin(np.linspace(0,24,1000))
ax = fig.add_subplot(1, 2, 2)
ax.imshow(recurrence_plot(sinus_series[:,None]), aspect="auto")
ax = fig.add_subplot(2, 2, 2)
plt.plot(list(range(0,1000)), sinus_series)
Out[6]:
[<matplotlib.lines.Line2D at 0x1501ed25f60>]
In [10]:
!! pip install cmpy
Out[10]:
['Collecting cmpy',
' Downloading https://files.pythonhosted.org/packages/58/11/29854680c85211fc1e813bc94dbedb32a9806dff94ae21577320d42df1d9/cmpy-0.2.tar.gz',
'Building wheels for collected packages: cmpy',
' Building wheel for cmpy (setup.py): started',
" Building wheel for cmpy (setup.py): finished with status 'done'",
' Stored in directory: C:\\Users\\diego\\AppData\\Local\\pip\\Cache\\wheels\\41\\8e\\c3\\43befae7522ca9abba86f88ebc0ee3785b5b8c567ef557aa8e',
'Successfully built cmpy',
'Installing collected packages: cmpy',
'Successfully installed cmpy-0.2']
In [35]:
# Ref.: http://node99.org/tutorials/ar/
def lorenz_generate(data_length):
return generate(data_length, lorenz_odes, \
np.array([-8.0, 8.0, 27.0]), np.array([10.0, 8/3.0, 28.0]))
#def lorenz_odes((x, y, z), (sigma, beta, rho)):
def lorenz_odes(*args):
states = args[0]
x = states[0]
y = states[1]
z = states[2]
parameters = args[1]
sigma = parameters[0]
beta = parameters[1]
rho = parameters[2]
return np.array([sigma * (y - x), x * (rho - z) - y, x * y - beta * z])
def generate(data_length, odes, state, parameters):
data = np.zeros([state.shape[0], data_length])
for i in range(5000):
state = rk4(odes, state, parameters)
for i in range(data_length):
state = rk4(odes, state, parameters)
data[:, i] = state
return data
def rk4(odes, state, parameters, dt=0.01):
k1 = dt * odes(state, parameters)
k2 = dt * odes(state + 0.5 * k1, parameters)
k3 = dt * odes(state + 0.5 * k2, parameters)
k4 = dt * odes(state + k3, parameters)
return state + (k1 + 2 * k2 + 2 * k3 + k4) / 6
# #def rossler_odes((x, y, z), (a, b, c)):
# def rossler_odes(*states, **parameters):
# x = states[0]
# y = states[1]
# z = states[2]
# a = parameters[0]
# b = parameters[1]
# c = parameters[2]
# return np.array([-y - z, x + a * y, b + z * (x - c)])
# def rossler_generate(data_length):
# return generate(data_length, rossler_odes, \
# np.array([10.0, 0.0, 0.0]), np.array([0.15, 0.2, 10.0]))
data = lorenz_generate(2**13)
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In [36]:
from mpl_toolkits.mplot3d import Axes3D
fig = plt.figure(figsize=(20,15))
#data = random_series
#data = sinus_series
data_lag0 = data[:-2].flatten()
data_lag1 = np.roll(data, -tau)[:-2].flatten()
data_lag2 = np.roll(data, -2 * tau)[:-2].flatten()
ax = fig.add_subplot(111, projection='3d')
ax.plot(data_lag0, data_lag1, data_lag2)
Out[36]:
[<mpl_toolkits.mplot3d.art3d.Line3D at 0x15028a3ca90>]
Agora, iremos investigar a aplicação desta abordagem no conjunto de dados MotionSense. Para um conjunto de diferentes atividades físicas rotineiras - descer e subir escadas, caminhar, correr, sentar e levantar - uma série-temporal foi estruturada para uma pessoa.
Abaixo, vemos a representação de RP para cada atividade física monitorada da primeira pessoa do dataset:
In [4]:
DATASET_PATH = './datasets/MotionSense/A_DeviceMotion_data/'
# Atributos coletados
cols = [
"attitude.roll",
"attitude.pitch",
"attitude.yaw",
"gravity.x",
"gravity.y",
"gravity.z",
"rotationRate.x",
"rotationRate.y",
"rotationRate.z",
"userAcceleration.x",
"userAcceleration.y",
"userAcceleration.z"
]
# RPs
fig = plt.figure(figsize=(20,15))
ax = fig.add_subplot(2, 3, 1)
ax.imshow(
recurrence_plot(
pd.read_csv(os.path.join(DATASET_PATH, "wlk_15/sub_1.csv"))[cols].values,
steps=1000
)
)
ax.set_xlabel('Caminhando')
ax = fig.add_subplot(2, 3, 2)
ax.imshow(
recurrence_plot(
pd.read_csv(os.path.join(DATASET_PATH, "sit_5/sub_1.csv"))[cols].values,
steps=1000
)
)
ax.set_xlabel('Sentado')
ax = fig.add_subplot(2, 3, 3)
ax.imshow(
recurrence_plot(
pd.read_csv(os.path.join(DATASET_PATH, "dws_1/sub_1.csv"))[cols].values,
steps=1000
)
)
ax.set_xlabel('Descendo Escadas')
ax = fig.add_subplot(2, 3, 4)
ax.imshow(
recurrence_plot(
pd.read_csv(os.path.join(DATASET_PATH, "jog_9/sub_1.csv"))[cols].values,
steps=1000
)
)
ax.set_xlabel('Correndo')
ax = fig.add_subplot(2, 3, 5)
ax.imshow(
recurrence_plot(
pd.read_csv(os.path.join(DATASET_PATH, "std_6/sub_1.csv"))[cols].values,
steps=1000
)
)
ax.set_xlabel('Em Pé (parado)')
ax = fig.add_subplot(2, 3, 6)
ax.imshow(
recurrence_plot(
pd.read_csv(os.path.join(DATASET_PATH, "ups_3/sub_1.csv"))[cols].values,
steps=1000
)
)
ax.set_xlabel('Subindo Escadas');
As imagens parecem bastante diferentes para atividades muito diferentes, enquanto caminhar / correr, descer / subir escadas e sentar / ficar em pé são semelhantes entre si.
Portanto, podemos esperar que modelos de classificação de imagens possam distinguir com eficiência entre os gráficos de recorrência de diferentes atividades. Por outro lado, como caminhar<>correr, subir<>descer escadas e sentar<>ficar em pé possuem padrões de recorrência que não diferem-se mutuamente, espera-se que eles não sejam tão fáceis de serem distinguidos.
Para fins de aprendizado, representaremos cada uma dessas atividades como uma classe (rótulo) único. Além desta rotulação, temos que pré-processar os dados, ou seja, converter todas as séries-temporais em RP's e padronizarmos suas escalas.
In [14]:
# Convertendo as pastas em classe/rótulos
# - - -
# descer/subir escadas = 0,
# caminhar/correr = 1
# sentado/em pé = 2
class_translate = {"dws_1" : 0, "dws_2" : 0, "dws_11" : 0, \
"ups_3" : 0, "ups_4" : 0, "ups_12" : 0, \
"wlk_7" : 1, "wlk_8" : 1, "wlk_15" : 1, \
"jog_9" : 1, "jog_16" : 1, \
"std_6" : 2, "std_14" : 2, \
"sit_5" : 2, "sit_13": 2}
#pre allocate arrays
x_train = np.zeros((384,32,32))
y_train = np.zeros(384)
c = 0
start = time.time()
for i in class_translate.keys():
print("Processando conjunto " + i)
for j in range(1,25):
dat = recurrence_plot(
pd.read_csv(os.path.join(DATASET_PATH, i +"/" + "sub_"+ str(j) + ".csv"))[cols].values,
steps=100
)
dat = resize(dat, (32,32),mode='constant')
x_train[c,:,:] = dat
y_train[c] = class_translate[i]
c = c + 1
end = time.time()
print('Tempo total (s):', end - start)
Processando conjunto dws_1
Processando conjunto dws_2
Processando conjunto dws_11
Processando conjunto ups_3
Processando conjunto ups_4
Processando conjunto ups_12
Processando conjunto wlk_7
Processando conjunto wlk_8
Processando conjunto wlk_15
Processando conjunto jog_9
Processando conjunto jog_16
Processando conjunto std_6
Processando conjunto std_14
Processando conjunto sit_5
Processando conjunto sit_13
Tempo total (s): 9460.048631429672
In [33]:
# Persistencia dos dados
np.save(os.path.join(DATASET_PATH,'../x_train'), x_train)
np.save(os.path.join(DATASET_PATH,'../y_train'), y_train)
Em https://arxiv.org/pdf/1710.00886.pdf os autores propõem o uso de uma rede convolucional para a classificação de gráficos de recorrência.
In [5]:
model = Sequential()
model.add(Convolution2D(32, (3, 3), activation='relu', input_shape=(1,32,32), data_format='channels_first'))
model.add(MaxPooling2D(pool_size=(2,2)))
model.add(Dropout(0.25))
model.add(Convolution2D(32, (3, 3),activation='relu'))
model.add(MaxPooling2D(pool_size=(2,2)))
model.add(Dropout(0.25))
model.add(Flatten())
model.add(Dense(64, activation='relu'))
#model.add(LeakyReLU(alpha=0.03))
model.add(Dropout(0.5))
model.add(Dense(3, activation='softmax'))
model.compile(loss='categorical_crossentropy',
optimizer='adam',
metrics=['accuracy'])
model.summary()
WARNING:tensorflow:From C:\Users\diego\anaconda3\envs\doutorado\lib\site-packages\tensorflow\python\framework\op_def_library.py:263: colocate_with (from tensorflow.python.framework.ops) is deprecated and will be removed in a future version.
Instructions for updating:
Colocations handled automatically by placer.
WARNING:tensorflow:From C:\Users\diego\anaconda3\envs\doutorado\lib\site-packages\keras\backend\tensorflow_backend.py:3445: calling dropout (from tensorflow.python.ops.nn_ops) with keep_prob is deprecated and will be removed in a future version.
Instructions for updating:
Please use `rate` instead of `keep_prob`. Rate should be set to `rate = 1 - keep_prob`.
_________________________________________________________________
Layer (type) Output Shape Param #
=================================================================
conv2d_1 (Conv2D) (None, 32, 30, 30) 320
_________________________________________________________________
max_pooling2d_1 (MaxPooling2 (None, 16, 15, 30) 0
_________________________________________________________________
dropout_1 (Dropout) (None, 16, 15, 30) 0
_________________________________________________________________
conv2d_2 (Conv2D) (None, 14, 13, 32) 8672
_________________________________________________________________
max_pooling2d_2 (MaxPooling2 (None, 7, 6, 32) 0
_________________________________________________________________
dropout_2 (Dropout) (None, 7, 6, 32) 0
_________________________________________________________________
flatten_1 (Flatten) (None, 1344) 0
_________________________________________________________________
dense_1 (Dense) (None, 64) 86080
_________________________________________________________________
dropout_3 (Dropout) (None, 64) 0
_________________________________________________________________
dense_2 (Dense) (None, 3) 195
=================================================================
Total params: 95,267
Trainable params: 95,267
Non-trainable params: 0
_________________________________________________________________
In [6]:
plot_model(model, to_file='model.png')
In [13]:
from PIL import Image
from matplotlib import pyplot as plt
%matplotlib inline
plt.figure(figsize=(15,20))
plt.imshow( Image.open('model.png') )
Out[13]:
<matplotlib.image.AxesImage at 0x20beacffda0>
Para treinar o modelo, iremos realizar a normalização das amostras, categorizar os rótulos (one-hot enconding) e separar 10% dos dados para testes de classificação.
In [32]:
# Carregando os dados persistidos
x_train = np.load(os.path.join(DATASET_PATH,'../x_train.npy') )
y_train = np.load(os.path.join(DATASET_PATH,'../y_train.npy') )
In [15]:
# Reformatar o conjunto X (profundidade)
X_train = x_train.reshape(x_train.shape[0], 1, 32,32)
# Normalizar os dados (forçar escala entre [0,1])
X_train = X_train.astype('float32')
X_train /= np.amax(X_train)
# Converter rótulos para matriz de classes (one-hot-encoding)
Y_train = np_utils.to_categorical(y_train, 3)
# Separando conjunto de treino e testes (10%)
X_train, x_test, Y_train, y_test = train_test_split(X_train, Y_train, test_size=0.1)
Treinando modelo com os dados...
In [16]:
model.fit(X_train, Y_train, epochs=200, batch_size=16,shuffle=True)
WARNING:tensorflow:From C:\Users\diego\anaconda3\envs\doutorado\lib\site-packages\tensorflow\python\ops\math_ops.py:3066: to_int32 (from tensorflow.python.ops.math_ops) is deprecated and will be removed in a future version.
Instructions for updating:
Use tf.cast instead.
Epoch 1/200
345/345 [==============================] - 4s 12ms/step - loss: 1.0056 - acc: 0.4232
Epoch 2/200
345/345 [==============================] - 0s 347us/step - loss: 0.8354 - acc: 0.5681
Epoch 3/200
345/345 [==============================] - 0s 334us/step - loss: 0.7512 - acc: 0.6000
Epoch 4/200
345/345 [==============================] - 0s 307us/step - loss: 0.6936 - acc: 0.6754
Epoch 5/200
345/345 [==============================] - 0s 312us/step - loss: 0.6674 - acc: 0.6551
Epoch 6/200
345/345 [==============================] - 0s 312us/step - loss: 0.6639 - acc: 0.6551
Epoch 7/200
345/345 [==============================] - 0s 312us/step - loss: 0.6316 - acc: 0.7217
Epoch 8/200
345/345 [==============================] - 0s 315us/step - loss: 0.6706 - acc: 0.6638
Epoch 9/200
345/345 [==============================] - 0s 301us/step - loss: 0.6545 - acc: 0.6957
Epoch 10/200
345/345 [==============================] - 0s 318us/step - loss: 0.5733 - acc: 0.7391
Epoch 11/200
345/345 [==============================] - 0s 327us/step - loss: 0.5543 - acc: 0.7710
Epoch 12/200
345/345 [==============================] - 0s 321us/step - loss: 0.5330 - acc: 0.7594
Epoch 13/200
345/345 [==============================] - 0s 314us/step - loss: 0.5238 - acc: 0.7652
Epoch 14/200
345/345 [==============================] - 0s 290us/step - loss: 0.5137 - acc: 0.7855
Epoch 15/200
345/345 [==============================] - 0s 345us/step - loss: 0.4663 - acc: 0.7971
Epoch 16/200
345/345 [==============================] - 0s 323us/step - loss: 0.4004 - acc: 0.8435
Epoch 17/200
345/345 [==============================] - 0s 328us/step - loss: 0.4552 - acc: 0.7855
Epoch 18/200
345/345 [==============================] - 0s 327us/step - loss: 0.3959 - acc: 0.8638
Epoch 19/200
345/345 [==============================] - 0s 309us/step - loss: 0.4436 - acc: 0.8232
Epoch 20/200
345/345 [==============================] - 0s 323us/step - loss: 0.3491 - acc: 0.8609
Epoch 21/200
345/345 [==============================] - 0s 321us/step - loss: 0.4384 - acc: 0.8319
Epoch 22/200
345/345 [==============================] - 0s 308us/step - loss: 0.4140 - acc: 0.8348
Epoch 23/200
345/345 [==============================] - 0s 319us/step - loss: 0.3447 - acc: 0.8725
Epoch 24/200
345/345 [==============================] - 0s 312us/step - loss: 0.3373 - acc: 0.8667
Epoch 25/200
345/345 [==============================] - 0s 312us/step - loss: 0.3543 - acc: 0.8638
Epoch 26/200
345/345 [==============================] - 0s 328us/step - loss: 0.3089 - acc: 0.8986
Epoch 27/200
345/345 [==============================] - 0s 315us/step - loss: 0.3288 - acc: 0.8667
Epoch 28/200
345/345 [==============================] - 0s 320us/step - loss: 0.2888 - acc: 0.8957
Epoch 29/200
345/345 [==============================] - 0s 306us/step - loss: 0.2715 - acc: 0.8928
Epoch 30/200
345/345 [==============================] - 0s 309us/step - loss: 0.3043 - acc: 0.8696
Epoch 31/200
345/345 [==============================] - 0s 301us/step - loss: 0.3407 - acc: 0.8783
Epoch 32/200
345/345 [==============================] - 0s 295us/step - loss: 0.3090 - acc: 0.8841
Epoch 33/200
345/345 [==============================] - 0s 315us/step - loss: 0.3463 - acc: 0.8580
Epoch 34/200
345/345 [==============================] - 0s 309us/step - loss: 0.2940 - acc: 0.8783
Epoch 35/200
345/345 [==============================] - 0s 318us/step - loss: 0.2639 - acc: 0.8957
Epoch 36/200
345/345 [==============================] - 0s 321us/step - loss: 0.2566 - acc: 0.9072
Epoch 37/200
345/345 [==============================] - 0s 303us/step - loss: 0.2278 - acc: 0.8986
Epoch 38/200
345/345 [==============================] - 0s 312us/step - loss: 0.2485 - acc: 0.8870
Epoch 39/200
345/345 [==============================] - 0s 309us/step - loss: 0.2433 - acc: 0.9043
Epoch 40/200
345/345 [==============================] - 0s 304us/step - loss: 0.3446 - acc: 0.8696
Epoch 41/200
345/345 [==============================] - 0s 304us/step - loss: 0.2709 - acc: 0.8957
Epoch 42/200
345/345 [==============================] - 0s 312us/step - loss: 0.2461 - acc: 0.9043
Epoch 43/200
345/345 [==============================] - 0s 318us/step - loss: 0.2473 - acc: 0.9072
Epoch 44/200
345/345 [==============================] - 0s 315us/step - loss: 0.2575 - acc: 0.8928
Epoch 45/200
345/345 [==============================] - 0s 318us/step - loss: 0.2408 - acc: 0.9101 0s - loss: 0.2494 - acc: 0.906
Epoch 46/200
345/345 [==============================] - 0s 304us/step - loss: 0.2518 - acc: 0.9014
Epoch 47/200
345/345 [==============================] - 0s 315us/step - loss: 0.2386 - acc: 0.8986
Epoch 48/200
345/345 [==============================] - 0s 309us/step - loss: 0.3007 - acc: 0.8783
Epoch 49/200
345/345 [==============================] - 0s 312us/step - loss: 0.2240 - acc: 0.9159
Epoch 50/200
345/345 [==============================] - 0s 298us/step - loss: 0.2194 - acc: 0.9072
Epoch 51/200
345/345 [==============================] - 0s 295us/step - loss: 0.2475 - acc: 0.9043
Epoch 52/200
345/345 [==============================] - 0s 315us/step - loss: 0.2341 - acc: 0.8986
Epoch 53/200
345/345 [==============================] - 0s 315us/step - loss: 0.2102 - acc: 0.9101
Epoch 54/200
345/345 [==============================] - 0s 309us/step - loss: 0.2399 - acc: 0.9014
Epoch 55/200
345/345 [==============================] - 0s 305us/step - loss: 0.3158 - acc: 0.8841
Epoch 56/200
345/345 [==============================] - 0s 306us/step - loss: 0.2667 - acc: 0.8870
Epoch 57/200
345/345 [==============================] - 0s 283us/step - loss: 0.2075 - acc: 0.9159
Epoch 58/200
345/345 [==============================] - 0s 347us/step - loss: 0.2310 - acc: 0.9014
Epoch 59/200
345/345 [==============================] - 0s 312us/step - loss: 0.2056 - acc: 0.9130
Epoch 60/200
345/345 [==============================] - 0s 310us/step - loss: 0.1996 - acc: 0.9159
Epoch 61/200
345/345 [==============================] - 0s 312us/step - loss: 0.2037 - acc: 0.9101
Epoch 62/200
345/345 [==============================] - 0s 300us/step - loss: 0.2204 - acc: 0.9101
Epoch 63/200
345/345 [==============================] - 0s 309us/step - loss: 0.2585 - acc: 0.9014
Epoch 64/200
345/345 [==============================] - 0s 312us/step - loss: 0.2074 - acc: 0.9159
Epoch 65/200
345/345 [==============================] - 0s 281us/step - loss: 0.1870 - acc: 0.9217
Epoch 66/200
345/345 [==============================] - 0s 335us/step - loss: 0.2842 - acc: 0.8870
Epoch 67/200
345/345 [==============================] - 0s 318us/step - loss: 0.2477 - acc: 0.8986
Epoch 68/200
345/345 [==============================] - 0s 309us/step - loss: 0.2274 - acc: 0.8957
Epoch 69/200
345/345 [==============================] - 0s 301us/step - loss: 0.2352 - acc: 0.9014
Epoch 70/200
345/345 [==============================] - 0s 289us/step - loss: 0.2040 - acc: 0.9130
Epoch 71/200
345/345 [==============================] - 0s 298us/step - loss: 0.2146 - acc: 0.9014
Epoch 72/200
345/345 [==============================] - 0s 307us/step - loss: 0.1983 - acc: 0.9217
Epoch 73/200
345/345 [==============================] - 0s 309us/step - loss: 0.2126 - acc: 0.9043
Epoch 74/200
345/345 [==============================] - 0s 271us/step - loss: 0.1904 - acc: 0.9188
Epoch 75/200
345/345 [==============================] - 0s 334us/step - loss: 0.2276 - acc: 0.8957
Epoch 76/200
345/345 [==============================] - 0s 333us/step - loss: 0.2371 - acc: 0.8986
Epoch 77/200
345/345 [==============================] - 0s 309us/step - loss: 0.2566 - acc: 0.8986
Epoch 78/200
345/345 [==============================] - 0s 301us/step - loss: 0.2303 - acc: 0.9072
Epoch 79/200
345/345 [==============================] - 0s 298us/step - loss: 0.1936 - acc: 0.9188
Epoch 80/200
345/345 [==============================] - 0s 292us/step - loss: 0.2084 - acc: 0.9014
Epoch 81/200
345/345 [==============================] - 0s 318us/step - loss: 0.2320 - acc: 0.9014
Epoch 82/200
345/345 [==============================] - 0s 271us/step - loss: 0.1982 - acc: 0.9130
Epoch 83/200
345/345 [==============================] - 0s 347us/step - loss: 0.2124 - acc: 0.9130
Epoch 84/200
345/345 [==============================] - 0s 307us/step - loss: 0.1796 - acc: 0.9246
Epoch 85/200
345/345 [==============================] - 0s 304us/step - loss: 0.2065 - acc: 0.9188
Epoch 86/200
345/345 [==============================] - 0s 317us/step - loss: 0.1914 - acc: 0.9072
Epoch 87/200
345/345 [==============================] - 0s 314us/step - loss: 0.1801 - acc: 0.9101
Epoch 88/200
345/345 [==============================] - 0s 307us/step - loss: 0.1769 - acc: 0.9130
Epoch 89/200
345/345 [==============================] - 0s 315us/step - loss: 0.1923 - acc: 0.9072
Epoch 90/200
345/345 [==============================] - 0s 280us/step - loss: 0.2357 - acc: 0.8957
Epoch 91/200
345/345 [==============================] - 0s 333us/step - loss: 0.1740 - acc: 0.9159
Epoch 92/200
345/345 [==============================] - 0s 309us/step - loss: 0.1916 - acc: 0.9130
Epoch 93/200
345/345 [==============================] - 0s 301us/step - loss: 0.2220 - acc: 0.9072
Epoch 94/200
345/345 [==============================] - 0s 301us/step - loss: 0.1886 - acc: 0.9188
Epoch 95/200
345/345 [==============================] - 0s 295us/step - loss: 0.1886 - acc: 0.9072
Epoch 96/200
345/345 [==============================] - 0s 309us/step - loss: 0.1993 - acc: 0.9101
Epoch 97/200
345/345 [==============================] - 0s 306us/step - loss: 0.1648 - acc: 0.9246
Epoch 98/200
345/345 [==============================] - 0s 304us/step - loss: 0.1838 - acc: 0.9159
Epoch 99/200
345/345 [==============================] - 0s 309us/step - loss: 0.2142 - acc: 0.9014
Epoch 100/200
345/345 [==============================] - 0s 315us/step - loss: 0.1607 - acc: 0.9188
Epoch 101/200
345/345 [==============================] - 0s 309us/step - loss: 0.1730 - acc: 0.9130
Epoch 102/200
345/345 [==============================] - 0s 301us/step - loss: 0.2470 - acc: 0.8928
Epoch 103/200
345/345 [==============================] - 0s 298us/step - loss: 0.1848 - acc: 0.9159
Epoch 104/200
345/345 [==============================] - 0s 298us/step - loss: 0.1571 - acc: 0.9275
Epoch 105/200
345/345 [==============================] - 0s 307us/step - loss: 0.1694 - acc: 0.9159
Epoch 106/200
345/345 [==============================] - 0s 312us/step - loss: 0.1840 - acc: 0.9217
Epoch 107/200
345/345 [==============================] - 0s 301us/step - loss: 0.2001 - acc: 0.9072
Epoch 108/200
345/345 [==============================] - 0s 312us/step - loss: 0.2134 - acc: 0.9072
Epoch 109/200
345/345 [==============================] - 0s 289us/step - loss: 0.2298 - acc: 0.8957
Epoch 110/200
345/345 [==============================] - 0s 338us/step - loss: 0.1866 - acc: 0.9159
Epoch 111/200
345/345 [==============================] - 0s 303us/step - loss: 0.1382 - acc: 0.9449
Epoch 112/200
345/345 [==============================] - 0s 307us/step - loss: 0.1513 - acc: 0.9275
Epoch 113/200
345/345 [==============================] - 0s 301us/step - loss: 0.1810 - acc: 0.9159
Epoch 114/200
345/345 [==============================] - 0s 321us/step - loss: 0.1971 - acc: 0.9014
Epoch 115/200
345/345 [==============================] - 0s 309us/step - loss: 0.2151 - acc: 0.9014
Epoch 116/200
345/345 [==============================] - 0s 306us/step - loss: 0.1720 - acc: 0.9246
Epoch 117/200
345/345 [==============================] - 0s 304us/step - loss: 0.1619 - acc: 0.9188
Epoch 118/200
345/345 [==============================] - 0s 309us/step - loss: 0.2238 - acc: 0.9014
Epoch 119/200
345/345 [==============================] - 0s 320us/step - loss: 0.1764 - acc: 0.9304
Epoch 120/200
345/345 [==============================] - 0s 304us/step - loss: 0.1542 - acc: 0.9217
Epoch 121/200
345/345 [==============================] - 0s 298us/step - loss: 0.1488 - acc: 0.9159
Epoch 122/200
345/345 [==============================] - 0s 295us/step - loss: 0.1493 - acc: 0.9159
Epoch 123/200
345/345 [==============================] - 0s 301us/step - loss: 0.1397 - acc: 0.9304
Epoch 124/200
345/345 [==============================] - 0s 312us/step - loss: 0.1289 - acc: 0.9304
Epoch 125/200
345/345 [==============================] - 0s 307us/step - loss: 0.1440 - acc: 0.9101
Epoch 126/200
345/345 [==============================] - 0s 304us/step - loss: 0.1359 - acc: 0.9362
Epoch 127/200
345/345 [==============================] - 0s 299us/step - loss: 0.1375 - acc: 0.9333
Epoch 128/200
345/345 [==============================] - 0s 306us/step - loss: 0.1480 - acc: 0.9246
Epoch 129/200
345/345 [==============================] - 0s 309us/step - loss: 0.1516 - acc: 0.9188
Epoch 130/200
345/345 [==============================] - 0s 304us/step - loss: 0.1750 - acc: 0.9304
Epoch 131/200
345/345 [==============================] - 0s 295us/step - loss: 0.1645 - acc: 0.8986
Epoch 132/200
345/345 [==============================] - 0s 295us/step - loss: 0.1228 - acc: 0.9333
Epoch 133/200
345/345 [==============================] - 0s 298us/step - loss: 0.1580 - acc: 0.9333
Epoch 134/200
345/345 [==============================] - 0s 312us/step - loss: 0.1375 - acc: 0.9304
Epoch 135/200
345/345 [==============================] - 0s 301us/step - loss: 0.1226 - acc: 0.9362
Epoch 136/200
345/345 [==============================] - 0s 304us/step - loss: 0.1327 - acc: 0.9333
Epoch 137/200
345/345 [==============================] - 0s 314us/step - loss: 0.1203 - acc: 0.9217
Epoch 138/200
345/345 [==============================] - 0s 315us/step - loss: 0.1088 - acc: 0.9478
Epoch 139/200
345/345 [==============================] - 0s 307us/step - loss: 0.1123 - acc: 0.9420
Epoch 140/200
345/345 [==============================] - 0s 298us/step - loss: 0.1379 - acc: 0.9130
Epoch 141/200
345/345 [==============================] - 0s 295us/step - loss: 0.1489 - acc: 0.9101
Epoch 142/200
345/345 [==============================] - 0s 301us/step - loss: 0.1363 - acc: 0.9362
Epoch 143/200
345/345 [==============================] - 0s 304us/step - loss: 0.1138 - acc: 0.9565
Epoch 144/200
345/345 [==============================] - 0s 292us/step - loss: 0.1156 - acc: 0.9333
Epoch 145/200
345/345 [==============================] - 0s 325us/step - loss: 0.1891 - acc: 0.9188
Epoch 146/200
345/345 [==============================] - 0s 301us/step - loss: 0.1407 - acc: 0.9362
Epoch 147/200
345/345 [==============================] - 0s 327us/step - loss: 0.1553 - acc: 0.9217
Epoch 148/200
345/345 [==============================] - 0s 318us/step - loss: 0.1388 - acc: 0.9246
Epoch 149/200
345/345 [==============================] - 0s 318us/step - loss: 0.1263 - acc: 0.9391
Epoch 150/200
345/345 [==============================] - 0s 315us/step - loss: 0.1083 - acc: 0.9507
Epoch 151/200
345/345 [==============================] - 0s 312us/step - loss: 0.1350 - acc: 0.9304
Epoch 152/200
345/345 [==============================] - 0s 338us/step - loss: 0.1045 - acc: 0.9507
Epoch 153/200
345/345 [==============================] - 0s 309us/step - loss: 0.1777 - acc: 0.9101
Epoch 154/200
345/345 [==============================] - 0s 302us/step - loss: 0.1196 - acc: 0.9333
Epoch 155/200
345/345 [==============================] - 0s 326us/step - loss: 0.1194 - acc: 0.9304
Epoch 156/200
345/345 [==============================] - 0s 309us/step - loss: 0.0919 - acc: 0.9536 0s - loss: 0.0931 - acc: 0.945
Epoch 157/200
345/345 [==============================] - 0s 315us/step - loss: 0.0983 - acc: 0.9652
Epoch 158/200
345/345 [==============================] - 0s 309us/step - loss: 0.0952 - acc: 0.9594
Epoch 159/200
345/345 [==============================] - 0s 298us/step - loss: 0.1073 - acc: 0.9391
Epoch 160/200
345/345 [==============================] - 0s 306us/step - loss: 0.1291 - acc: 0.9304
Epoch 161/200
345/345 [==============================] - 0s 309us/step - loss: 0.1068 - acc: 0.9391
Epoch 162/200
345/345 [==============================] - 0s 307us/step - loss: 0.0960 - acc: 0.9478
Epoch 163/200
345/345 [==============================] - 0s 304us/step - loss: 0.1060 - acc: 0.9391
Epoch 164/200
345/345 [==============================] - 0s 309us/step - loss: 0.1755 - acc: 0.9217
Epoch 165/200
345/345 [==============================] - 0s 307us/step - loss: 0.1193 - acc: 0.9420
Epoch 166/200
345/345 [==============================] - 0s 317us/step - loss: 0.1073 - acc: 0.9507
Epoch 167/200
345/345 [==============================] - 0s 315us/step - loss: 0.1068 - acc: 0.9478
Epoch 168/200
345/345 [==============================] - 0s 301us/step - loss: 0.1393 - acc: 0.9333
Epoch 169/200
345/345 [==============================] - 0s 304us/step - loss: 0.1017 - acc: 0.9507
Epoch 170/200
345/345 [==============================] - 0s 298us/step - loss: 0.1543 - acc: 0.9275
Epoch 171/200
345/345 [==============================] - 0s 307us/step - loss: 0.1881 - acc: 0.9246
Epoch 172/200
345/345 [==============================] - 0s 309us/step - loss: 0.1124 - acc: 0.9449
Epoch 173/200
345/345 [==============================] - 0s 303us/step - loss: 0.0946 - acc: 0.9565
Epoch 174/200
345/345 [==============================] - 0s 304us/step - loss: 0.0984 - acc: 0.9507
Epoch 175/200
345/345 [==============================] - 0s 304us/step - loss: 0.0888 - acc: 0.9478
Epoch 176/200
345/345 [==============================] - 0s 309us/step - loss: 0.1048 - acc: 0.9391
Epoch 177/200
345/345 [==============================] - 0s 306us/step - loss: 0.1194 - acc: 0.9391
Epoch 178/200
345/345 [==============================] - 0s 301us/step - loss: 0.0972 - acc: 0.9362
Epoch 179/200
345/345 [==============================] - 0s 301us/step - loss: 0.0977 - acc: 0.9594
Epoch 180/200
345/345 [==============================] - 0s 298us/step - loss: 0.0883 - acc: 0.9507
Epoch 181/200
345/345 [==============================] - 0s 309us/step - loss: 0.0797 - acc: 0.9652
Epoch 182/200
345/345 [==============================] - 0s 306us/step - loss: 0.0765 - acc: 0.9594
Epoch 183/200
345/345 [==============================] - 0s 302us/step - loss: 0.0820 - acc: 0.9594
Epoch 184/200
345/345 [==============================] - 0s 301us/step - loss: 0.0781 - acc: 0.9739
Epoch 185/200
345/345 [==============================] - 0s 312us/step - loss: 0.0991 - acc: 0.9420
Epoch 186/200
345/345 [==============================] - 0s 307us/step - loss: 0.2534 - acc: 0.8870
Epoch 187/200
345/345 [==============================] - 0s 307us/step - loss: 0.1154 - acc: 0.9507
Epoch 188/200
345/345 [==============================] - 0s 300us/step - loss: 0.1059 - acc: 0.9507
Epoch 189/200
345/345 [==============================] - 0s 301us/step - loss: 0.0925 - acc: 0.9536
Epoch 190/200
345/345 [==============================] - 0s 328us/step - loss: 0.1373 - acc: 0.9246
Epoch 191/200
345/345 [==============================] - 0s 310us/step - loss: 0.0990 - acc: 0.9594
Epoch 192/200
345/345 [==============================] - 0s 298us/step - loss: 0.0856 - acc: 0.9565
Epoch 193/200
345/345 [==============================] - 0s 306us/step - loss: 0.0962 - acc: 0.9565
Epoch 194/200
345/345 [==============================] - 0s 304us/step - loss: 0.1074 - acc: 0.9536
Epoch 195/200
345/345 [==============================] - 0s 307us/step - loss: 0.1043 - acc: 0.9507
Epoch 196/200
345/345 [==============================] - 0s 318us/step - loss: 0.1047 - acc: 0.9449
Epoch 197/200
345/345 [==============================] - 0s 313us/step - loss: 0.0990 - acc: 0.9507 0s - loss: 0.0915 - acc: 0.956
Epoch 198/200
345/345 [==============================] - 0s 308us/step - loss: 0.1014 - acc: 0.9594
Epoch 199/200
345/345 [==============================] - 0s 314us/step - loss: 0.0817 - acc: 0.9739
Epoch 200/200
345/345 [==============================] - 0s 307us/step - loss: 0.0837 - acc: 0.9623
Out[16]:
<keras.callbacks.History at 0x20be603de48>
Com o modelo testado, vamos avaliá-lo diante do conjunto de testes, confrontando a classe (atividade) prevista com a esperada.
In [17]:
predictions= model.predict(x_test)
rounded = [np.argmax(x) for x in predictions]
print(K.eval(metrics.categorical_accuracy(y_test, np_utils.to_categorical(rounded, 3))))
[1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.
1. 0. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]
In [43]:
from sklearn import metrics as m
print(m.f1_score(y_test, np_utils.to_categorical(rounded, 3), average='micro'))
0.9743589743589743
In [59]:
df_result = pd.concat([
pd.DataFrame(y_test, columns=['y_0','y_1','y_2']),
pd.DataFrame(np_utils.to_categorical(rounded, 3), columns=['y_pred_0','y_pred__1','y_pred__2'])
],
axis=1)
df_result[['y_0','y_pred_0','y_1','y_pred__1','y_2','y_pred__2']]
Out[59]:
y_0
y_pred_0
y_1
y_pred__1
y_2
y_pred__2
0
0.0
0.0
1.0
1.0
0.0
0.0
1
1.0
1.0
0.0
0.0
0.0
0.0
2
0.0
0.0
0.0
0.0
1.0
1.0
3
1.0
1.0
0.0
0.0
0.0
0.0
4
1.0
1.0
0.0
0.0
0.0
0.0
5
0.0
0.0
1.0
1.0
0.0
0.0
6
0.0
0.0
1.0
1.0
0.0
0.0
7
1.0
1.0
0.0
0.0
0.0
0.0
8
0.0
0.0
1.0
1.0
0.0
0.0
9
1.0
1.0
0.0
0.0
0.0
0.0
10
1.0
1.0
0.0
0.0
0.0
0.0
11
0.0
0.0
0.0
0.0
1.0
1.0
12
0.0
0.0
1.0
1.0
0.0
0.0
13
1.0
1.0
0.0
0.0
0.0
0.0
14
0.0
0.0
0.0
0.0
1.0
1.0
15
0.0
0.0
1.0
1.0
0.0
0.0
16
0.0
0.0
1.0
1.0
0.0
0.0
17
1.0
1.0
0.0
0.0
0.0
0.0
18
1.0
1.0
0.0
0.0
0.0
0.0
19
1.0
1.0
0.0
0.0
0.0
0.0
20
0.0
0.0
1.0
1.0
0.0
0.0
21
1.0
1.0
0.0
0.0
0.0
0.0
22
1.0
1.0
0.0
0.0
0.0
0.0
23
0.0
0.0
0.0
0.0
1.0
1.0
24
1.0
1.0
0.0
0.0
0.0
0.0
25
0.0
1.0
0.0
0.0
1.0
0.0
26
0.0
0.0
1.0
1.0
0.0
0.0
27
1.0
1.0
0.0
0.0
0.0
0.0
28
0.0
0.0
0.0
0.0
1.0
1.0
29
0.0
0.0
1.0
1.0
0.0
0.0
30
0.0
0.0
1.0
1.0
0.0
0.0
31
0.0
0.0
0.0
0.0
1.0
1.0
32
0.0
0.0
1.0
1.0
0.0
0.0
33
1.0
1.0
0.0
0.0
0.0
0.0
34
1.0
1.0
0.0
0.0
0.0
0.0
35
0.0
0.0
1.0
1.0
0.0
0.0
36
0.0
0.0
1.0
1.0
0.0
0.0
37
0.0
0.0
1.0
1.0
0.0
0.0
38
1.0
1.0
0.0
0.0
0.0
0.0
In [ ]:
Content source: diegocavalca/Studies
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