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March 25, 2018 10:42
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Convolutional Autoencoder in Keras for EEG\n", | |
"\n", | |
"Autoencoder is a neural network which consists of two parts: \n", | |
"* encoder,\n", | |
"* decoder, \n", | |
"\n", | |
"both are neural networks. \n", | |
"\n", | |
"In the work we create contractive autoencoder. It means that the layer between encoder and decoder has less neurons than an input layer. It is aimed to reduce input data diminution space and delete the noise with valuable information extraction. \n", | |
"\n", | |
"Decoder transforms reduced representation to the target representation.\n", | |
"\n", | |
"__Representation of EEG data__" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Extracting parameters from data/zavrin_open_eyes_eeg_15021500.vhdr...\n", | |
"Setting channel info structure...\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"(61, 302000)" | |
] | |
}, | |
"execution_count": 1, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"import numpy as np\n", | |
"import mne\n", | |
"\n", | |
"%matplotlib inline\n", | |
"\n", | |
"raw = mne.io.read_raw_brainvision(\"data/zavrin_open_eyes_eeg_15021500.vhdr\")\n", | |
"data = raw.get_data()\n", | |
"data.shape" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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73PFz6tQpsmXLli/6k5T/STUXUDer2LNnT4O1lln7WLikewlTpkxp0vEZn3lx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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f36704ea240>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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73PFz6tQpsmXLli/6k5T/STUXUDer2LNnT4O1lln7WLikewlTpkxp0vEZn3lx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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f36704ea240>" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"raw.plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"__We will train our model not on the full length of files, but dividing them into batches__\n", | |
"\n", | |
"Here is an example of 20 s segment of the data" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"(61, 20000)\n", | |
"[ 100. 100.001 100.002 ..., 119.997 119.998 119.999]\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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lHQQHB2uCE98bpBX5k1VZ7Pf1jstCVGXlvPCtjV926mI+eofLz7obyrWok2h8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DFX1qNDUEzc8fFj997kHMwfgVNfhYW7IejBqa/A/sfc8lUGZ78Bmy+5946805Vzu+/OrsdK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\nzMzMzMysbv8PF7LDSRNS03IAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f3635eb3eb8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"start, stop = raw.time_as_index([100, 120]) # 100 s to 120 s data segment\n", | |
"data, times = raw[:, start:stop]\n", | |
"print(data.shape)\n", | |
"print(times)\n", | |
"plt.figure(figsize=(15, 5))\n", | |
"plt.subplot(1,2,1)\n", | |
"plt.plot(times, data.T)\n", | |
"plt.xlabel('time (s)')\n", | |
"plt.ylabel('EEG data (T)')\n", | |
"plt.title('Before scaling')\n", | |
"\n", | |
"plt.subplot(1,2,2)\n", | |
"plt.plot(times, data.T.astype('float32')/255.)\n", | |
"plt.xlabel('time (s)')\n", | |
"plt.ylabel('EEG data (T)')\n", | |
"plt.title('After scaling')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## CNN AE\n", | |
"\n", | |
"The encoder will consist in a stack of Conv1D and MaxPooling1D layers (max pooling being used for spatial down-sampling), while the decoder will consist in a stack of Conv1D and UpSampling1D layers.\n", | |
"\n", | |
"In the proccess different hyperparameters were tuned, such as *number of filters*, *filter lengths*, *length of batch* and others.\n", | |
"### Model\n", | |
"* Input — (channels_num = 61, window_size = 500, 1)\n", | |
"\n", | |
"#### Encoder\n", | |
"\n", | |
" * Conv1D(nb_filters = 64, filter_length = 5) + ReLU ---- (channels_num = 61, window_size = 500, 64)\n", | |
" * MaxPooling1D ----------------------------------------- (channels_num = 61, window_size = 250, 64)\n", | |
" * Conv1D(nb_filters = 32, filter_length = 5) + ReLU ---- (channels_num = 61, window_size = 250, 32)\n", | |
" * MaxPooling1D ----------------------------------------- (channels_num = 61, window_size = 125, 32)\n", | |
" * Dense + ReLU ----------------------------------------- (channels_num = 61, window_size = 125, 1)\n", | |
"\n", | |
"#### Decoder\n", | |
"\n", | |
" * Conv1D(nb_filters = 32, filter_length = 5) + ReLU ---- (channels_num = 61, window_size = 125, 32)\n", | |
" * UpSampling1D ----------------------------------------- (channels_num = 61, window_size = 250, 32)\n", | |
" * Conv1D(nb_filters = 64, filter_length = 5) + ReLU ---- (channels_num = 61, window_size = 250, 64)\n", | |
" * UpSampling1D ----------------------------------------- (channels_num = 61, window_size = 500, 64)\n", | |
" * Conv1D(nb_filters = 64, filter_length = 5) + Sigmoid - (channels_num = 61, window_size = 500, 1)\n", | |
"\n", | |
"\n", | |
"* Output — (channels_num = 61, window_size = 500, 1)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"Using TensorFlow backend.\n", | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:17: UserWarning: Update your `Conv1D` call to the Keras 2 API: `Conv1D(activation=\"relu\", padding=\"same\", input_shape=(500, 1), filters=64, kernel_size=5)`\n", | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:20: UserWarning: Update your `Conv1D` call to the Keras 2 API: `Conv1D(activation=\"relu\", padding=\"same\", filters=32, kernel_size=5)`\n", | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:27: UserWarning: Update your `Conv1D` call to the Keras 2 API: `Conv1D(activation=\"relu\", padding=\"same\", input_shape=(125, 1), filters=32, kernel_size=5)`\n", | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:29: UserWarning: Update your `Conv1D` call to the Keras 2 API: `Conv1D(padding=\"same\", activation=\"relu\", filters=64, kernel_size=5)`\n", | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:31: UserWarning: Update your `Conv1D` call to the Keras 2 API: `Conv1D(padding=\"same\", activation=\"sigmoid\", filters=1, kernel_size=5)`\n" | |
] | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"_________________________________________________________________\n", | |
"Layer (type) Output Shape Param # \n", | |
"=================================================================\n", | |
"conv1d_1 (Conv1D) (None, 500, 64) 384 \n", | |
"_________________________________________________________________\n", | |
"dropout_1 (Dropout) (None, 500, 64) 0 \n", | |
"_________________________________________________________________\n", | |
"max_pooling1d_1 (MaxPooling1 (None, 250, 64) 0 \n", | |
"_________________________________________________________________\n", | |
"conv1d_2 (Conv1D) (None, 250, 32) 10272 \n", | |
"_________________________________________________________________\n", | |
"max_pooling1d_2 (MaxPooling1 (None, 125, 32) 0 \n", | |
"_________________________________________________________________\n", | |
"dense_1 (Dense) (None, 125, 1) 33 \n", | |
"=================================================================\n", | |
"Total params: 10,689\n", | |
"Trainable params: 10,689\n", | |
"Non-trainable params: 0\n", | |
"_________________________________________________________________\n", | |
"(None, 125, 1)\n", | |
"_________________________________________________________________\n", | |
"Layer (type) Output Shape Param # \n", | |
"=================================================================\n", | |
"conv1d_3 (Conv1D) (None, 125, 32) 192 \n", | |
"_________________________________________________________________\n", | |
"up_sampling1d_1 (UpSampling1 (None, 250, 32) 0 \n", | |
"_________________________________________________________________\n", | |
"conv1d_4 (Conv1D) (None, 250, 64) 10304 \n", | |
"_________________________________________________________________\n", | |
"up_sampling1d_2 (UpSampling1 (None, 500, 64) 0 \n", | |
"_________________________________________________________________\n", | |
"conv1d_5 (Conv1D) (None, 500, 1) 321 \n", | |
"=================================================================\n", | |
"Total params: 10,817\n", | |
"Trainable params: 10,817\n", | |
"Non-trainable params: 0\n", | |
"_________________________________________________________________\n", | |
"_________________________________________________________________\n", | |
"Layer (type) Output Shape Param # \n", | |
"=================================================================\n", | |
"input_1 (InputLayer) (None, 500, 1) 0 \n", | |
"_________________________________________________________________\n", | |
"sequential_1 (Sequential) (None, 125, 1) 10689 \n", | |
"_________________________________________________________________\n", | |
"sequential_2 (Sequential) (None, 500, 1) 10817 \n", | |
"=================================================================\n", | |
"Total params: 21,506\n", | |
"Trainable params: 21,506\n", | |
"Non-trainable params: 0\n", | |
"_________________________________________________________________\n" | |
] | |
} | |
], | |
"source": [ | |
"from keras.layers import Input, Conv1D, Dense, MaxPooling1D, Dropout, UpSampling1D\n", | |
"from keras.models import Model\n", | |
"from keras.models import Sequential\n", | |
"from keras import backend as K\n", | |
"\n", | |
"channels_num = 61\n", | |
"nb_filter_1 = 64\n", | |
"nb_filter_2 = 32\n", | |
"filter_length = 5\n", | |
"\n", | |
"window_size = 500\n", | |
"encoding_dim = 1\n", | |
"\n", | |
"input_ = Input(shape=(window_size, 1))\n", | |
"\n", | |
"encoder = Sequential((\n", | |
" Conv1D(nb_filter=nb_filter_1, filter_length=filter_length, activation='relu', padding='same', input_shape=(window_size, 1)),\n", | |
" Dropout(0.4),\n", | |
" MaxPooling1D(),\n", | |
" Conv1D(nb_filter=nb_filter_2, filter_length=filter_length, activation='relu', padding='same'),\n", | |
" MaxPooling1D(),\n", | |
" Dense(encoding_dim, activation='relu')\n", | |
"))\n", | |
"encoder.summary()\n", | |
"print(encoder.output_shape)\n", | |
"decoder = Sequential((\n", | |
" Conv1D(nb_filter=nb_filter_2, filter_length=filter_length, activation='relu', padding='same', input_shape=encoder.output_shape[-2:]),\n", | |
" UpSampling1D(),\n", | |
" Conv1D(nb_filter=nb_filter_1, filter_length=filter_length, padding='same', activation='relu'),\n", | |
" UpSampling1D(),\n", | |
" Conv1D(nb_filter=1, filter_length=filter_length, padding='same', activation='sigmoid')\n", | |
"))\n", | |
"decoder.summary()\n", | |
"autoencoder = Model(input_, decoder(encoder(input_)), name=\"autoencoder\")\n", | |
"autoencoder.compile(loss='mse', optimizer='adam', metrics=['mae']) # .compile(optimizer='adadelta', loss='binary_crossentropy')\n", | |
"\n", | |
"autoencoder.summary()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Batch Generator\n", | |
"\n", | |
"To fit our model we need to define batch_generator, so that on every step we could choose random 0.5 s interval from the dataset.\n", | |
"\n", | |
"__ForThreadSafety:__" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import threading\n", | |
"class threadsafe_iter:\n", | |
" def __init__(self, it):\n", | |
" self.it = it\n", | |
" self.lock = threading.Lock()\n", | |
" def __iter__(self):\n", | |
" return self\n", | |
" def __next__(self):\n", | |
" with self.lock:\n", | |
" return next(self.it)\n", | |
"\n", | |
"def threadsafe_generator(f):\n", | |
" def g(*a, **kw):\n", | |
" return threadsafe_iter(f(*a, **kw))\n", | |
" return g" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"__And now to the generator.__ \n", | |
"\n", | |
"First we will separate one file for validation test. \n", | |
"Then define *batch\\_length (window\\_size)* for our data.\n", | |
"\n", | |
"At the each step, the file and batch from the file will be chosen randomly. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Extracting parameters from data/dagaev_post_rest_eeg_30011600.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 603799 = 0.000 ... 603.799 secs...\n" | |
] | |
} | |
], | |
"source": [ | |
"import glob\n", | |
"files_ = glob.glob(\"data/*.vhdr\")\n", | |
"file_test_ind = np.random.choice(np.arange(len(files_)))\n", | |
"file_test_ = files_[file_test_ind]\n", | |
"files_.pop(file_test_ind)\n", | |
"\n", | |
"batch_length = 0.5 # 0.5 s of data segment\n", | |
"random_rate = 0.5\n", | |
"\n", | |
"raw = mne.io.read_raw_brainvision(file_test_, preload=True)\n", | |
"iters = []\n", | |
"for i in range(int(raw.get_data().shape[1] / 1e3 / batch_length)):\n", | |
" start, stop = raw.time_as_index([i * batch_length, (i + 1) * batch_length])\n", | |
" iters.append((start, stop))\n", | |
"x_tests = [raw[:, start:stop][0] for start, stop in iters]\n", | |
"\n", | |
"@threadsafe_generator\n", | |
"def generate_batch():\n", | |
" while True:\n", | |
" cur_files = [[] for _ in range(len(files_))]\n", | |
" batches = [[] for _ in range(len(files_))]\n", | |
" files_count = len(files_)\n", | |
" while files_count > 0:\n", | |
" file_ind = np.random.choice(np.arange(len(files_)))\n", | |
" if cur_files[file_ind] == -1: continue\n", | |
" if not cur_files[file_ind]:\n", | |
" raw = mne.io.read_raw_brainvision(files_[file_ind], preload=True)\n", | |
" cur_files[file_ind] = raw\n", | |
" batches[file_ind] = np.arange(int(raw.get_data().shape[1] / 1e3 / batch_length))\n", | |
" begin = np.random.choice(np.arange(len(batches[file_ind])))\n", | |
" \n", | |
" start, stop = cur_files[file_ind].time_as_index([batches[file_ind][begin] * batch_length, (batches[file_ind][begin] + 1) * batch_length])\n", | |
" data, times = cur_files[file_ind][:, start:stop]\n", | |
" data += random_rate * np.random.normal(loc=0.0, scale=1.0, size=data.shape)\n", | |
" yield (np.expand_dims(data, axis=2).astype('float32')/255., np.expand_dims(data, axis=2).astype('float32')/255.) # add noise later\n", | |
" \n", | |
" batches[file_ind] = np.delete(batches[file_ind], begin)\n", | |
" if len(batches[file_ind]) == 0:\n", | |
" cur_files[file_ind] = -1\n", | |
" files_count -= 1" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Let's fit our Model" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Extracting parameters from data/zavrib_post_eeg_eyesopen15021500.vhdr...Epoch 1/3\n", | |
"\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 321599 = 0.000 ... 321.599 secs...\n" | |
] | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:1: UserWarning: The semantics of the Keras 2 argument `steps_per_epoch` is not the same as the Keras 1 argument `samples_per_epoch`. `steps_per_epoch` is the number of batches to draw from the generator at each epoch. Basically steps_per_epoch = samples_per_epoch/batch_size. Similarly `nb_val_samples`->`validation_steps` and `val_samples`->`steps` arguments have changed. Update your method calls accordingly.\n", | |
" \"\"\"Entry point for launching an IPython kernel.\n", | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:1: UserWarning: Update your `fit_generator` call to the Keras 2 API: `fit_generator(<__main__...., validation_data=(array([[[..., steps_per_epoch=9300, epochs=3)`\n", | |
" \"\"\"Entry point for launching an IPython kernel.\n" | |
] | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Extracting parameters from data/gorbacheva_03_02_2017_post_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 603949 = 0.000 ... 603.949 secs...\n", | |
"Extracting parameters from data/miloslavov_22_05_pre_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 603399 = 0.000 ... 603.399 secs...\n", | |
"Extracting parameters from data/300120171600_dagaev_rest_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 17020099 = 0.000 ... 17020.099 secs...\n", | |
"Extracting parameters from data/2103_kozunova_post_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 603199 = 0.000 ... 603.199 secs...\n", | |
"Extracting parameters from data/zavrin_open_eyes_eeg_15021500.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 301999 = 0.000 ... 301.999 secs...\n", | |
"Extracting parameters from data/bagaeva_post_eeg_13031500.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 603899 = 0.000 ... 603.899 secs...\n", | |
"Extracting parameters from data/2003_ivanova_post_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 616599 = 0.000 ... 616.599 secs...\n", | |
"Extracting parameters from data/glebko_2103_pre_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 643749 = 0.000 ... 643.749 secs...\n", | |
"Extracting parameters from data/08021400_post_eeg_shuhova.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 607199 = 0.000 ... 607.199 secs...\n", | |
" 1/9300 [..............................] - ETA: 508303s - loss: 0.2500 - mean_absolute_error: 0.5000Extracting parameters from data/bagaeva_13021500_rest_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 603949 = 0.000 ... 603.949 secs...\n", | |
" 10/9300 [..............................] - ETA: 51005s - loss: 0.2425 - mean_absolute_error: 0.4924Extracting parameters from data/gorin_310117_rest_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 609999 = 0.000 ... 609.999 secs...\n", | |
" 12/9300 [..............................] - ETA: 42906s - loss: 0.2399 - mean_absolute_error: 0.4897Extracting parameters from data/2704_zagirova_post_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 604549 = 0.000 ... 604.549 secs...\n", | |
" 14/9300 [..............................] - ETA: 37197s - loss: 0.2370 - mean_absolute_error: 0.4867Extracting parameters from data/gorin_rest_eeg_post_31011200.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 603699 = 0.000 ... 603.699 secs...\n", | |
" 16/9300 [..............................] - ETA: 32920s - loss: 0.2336 - mean_absolute_error: 0.4832Extracting parameters from data/2403_kutuzova_posteeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 604199 = 0.000 ... 604.199 secs...\n", | |
" 18/9300 [..............................] - ETA: 29578s - loss: 0.2299 - mean_absolute_error: 0.4791Extracting parameters from data/3103_petuhova_posteeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 630049 = 0.000 ... 630.049 secs...\n", | |
" 20/9300 [..............................] - ETA: 26925s - loss: 0.2256 - mean_absolute_error: 0.4745Extracting parameters from data/2505_shirokova.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 604799 = 0.000 ... 604.799 secs...\n", | |
" 21/9300 [..............................] - ETA: 25933s - loss: 0.2233 - mean_absolute_error: 0.4720Extracting parameters from data/zavrin_eyes_closed_eeg_15021500.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 302749 = 0.000 ... 302.749 secs...\n", | |
" 23/9300 [..............................] - ETA: 23933s - loss: 0.2184 - mean_absolute_error: 0.4664Extracting parameters from data/gorbacheva_03021300_rest_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 625249 = 0.000 ... 625.249 secs...\n", | |
" 25/9300 [..............................] - ETA: 22119s - loss: 0.2129 - mean_absolute_error: 0.4601Extracting parameters from data/2403_kutuzova_pre_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 602849 = 0.000 ... 602.849 secs...\n", | |
" 30/9300 [..............................] - ETA: 18657s - loss: 0.1975 - mean_absolute_error: 0.4411Extracting parameters from data/200317_ivanova_pre_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 602099 = 0.000 ... 602.099 secs...\n", | |
" 31/9300 [..............................] - ETA: 18213s - loss: 0.1942 - mean_absolute_error: 0.4368Extracting parameters from data/2505_shirokova_post_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 606599 = 0.000 ... 606.599 secs...\n", | |
" 33/9300 [..............................] - ETA: 17285s - loss: 0.1873 - mean_absolute_error: 0.4275Extracting parameters from data/post_eeg_tsoy_2504.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 604949 = 0.000 ... 604.949 secs...\n", | |
" 34/9300 [..............................] - ETA: 16950s - loss: 0.1838 - mean_absolute_error: 0.4226Extracting parameters from data/zagirova_pre_eeg_2704.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 607549 = 0.000 ... 607.549 secs...\n", | |
" 38/9300 [..............................] - ETA: 15332s - loss: 0.1697 - mean_absolute_error: 0.4015Extracting parameters from data/tsoy_pre_eeg_2504.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 652699 = 0.000 ... 652.699 secs...\n", | |
" 40/9300 [..............................] - ETA: 14696s - loss: 0.1628 - mean_absolute_error: 0.3904Extracting parameters from data/2103_glebko_posteeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 633899 = 0.000 ... 633.899 secs...\n", | |
" 43/9300 [..............................] - ETA: 13825s - loss: 0.1529 - mean_absolute_error: 0.3733Extracting parameters from data/pre_egg_petuhova3103.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 602749 = 0.000 ... 602.749 secs...\n", | |
" 48/9300 [..............................] - ETA: 12511s - loss: 0.1382 - mean_absolute_error: 0.3453Extracting parameters from data/zavrin_15021500_eyesclosed_post_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 319299 = 0.000 ... 319.299 secs...\n", | |
" 58/9300 [..............................] - ETA: 10505s - loss: 0.1150 - mean_absolute_error: 0.2959Extracting parameters from data/shuhova_08022017_rest_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
" 60/9300 [..............................] - ETA: 10160s - loss: 0.1112 - mean_absolute_error: 0.2874Reading 0 ... 637949 = 0.000 ... 637.949 secs...\n", | |
" 79/9300 [..............................] - ETA: 7810s - loss: 0.0847 - mean_absolute_error: 0.2248Extracting parameters from data/kozunova_pre_eeg_2103.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 602849 = 0.000 ... 602.849 secs...\n", | |
" 96/9300 [..............................] - ETA: 6496s - loss: 0.0698 - mean_absolute_error: 0.1882Extracting parameters from data/2205_miloslavov_post_eeg.vhdr...\n", | |
"Setting channel info structure...\n", | |
"Reading 0 ... 623249 = 0.000 ... 623.249 secs...\n", | |
"9300/9300 [==============================] - 228s - loss: 7.2626e-04 - mean_absolute_error: 0.0036 - val_loss: 3.7778e-09 - val_mean_absolute_error: 3.6965e-05\n", | |
"Epoch 2/3\n", | |
"9300/9300 [==============================] - 161s - loss: 3.8511e-06 - mean_absolute_error: 0.0016 - val_loss: 1.7003e-09 - val_mean_absolute_error: 3.4430e-05\n", | |
"Epoch 3/3\n", | |
"9300/9300 [==============================] - 161s - loss: 3.8514e-06 - mean_absolute_error: 0.0016 - val_loss: 1.6802e-09 - val_mean_absolute_error: 3.4239e-05\n" | |
] | |
} | |
], | |
"source": [ | |
"history = autoencoder.fit_generator(generate_batch(), samples_per_epoch=int(150 / batch_length) * len(files_), nb_epoch=3, validation_data=(np.expand_dims(x_tests[123], axis=2).astype('float32')/255., np.expand_dims(x_tests[123], axis=2).astype('float32')/255.))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"dict_keys(['val_loss', 'val_mean_absolute_error', 'loss', 'mean_absolute_error'])\n" | |
] | |
} | |
], | |
"source": [ | |
"print(history.history.keys())" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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UePy9js0b697r+mnxht36+ZtrQ8cBgNMWolyd1CUu7v4jd58o6RlJv3T3456O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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f364e9ec080>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"plt.figure(figsize=(15, 5))\n", | |
"plt.subplot(1, 2, 1)\n", | |
"plt.plot(history.history['loss'])\n", | |
"plt.title('model loss')\n", | |
"plt.ylabel('loss')\n", | |
"plt.yscale('log')\n", | |
"plt.xlabel('epoch')\n", | |
"\n", | |
"plt.subplot(1, 2, 2)\n", | |
"plt.plot(history.history['val_loss'])\n", | |
"plt.title('model validation loss')\n", | |
"plt.ylabel('validation loss')\n", | |
"plt.xlabel('epoch')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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IUnkdgLsfcvftwfdFwKdAx6BdqxiOhbs/4+7Z7p7dpEmTci/uZCUlGY9cn0lajWRGTc/l\nyNFjcT2fiIhIZXLHJR3p064hv/zLMj7ZovmVIiKJLJ5J5UKgg5m1NbOawBBgVqk6s4Cbg1Vg+wC7\n3X1TeW3NrENU+4HAyqC8SbDAD2bWjsiCPGuC4+0xsz7Bqq83A6/E6ZqPS7P0NB4c1IO8DbuZMHd1\n2OGIiIgkjOQkY8KQntRJTWHklMUcOKx3PIuIJKq4JZXuXkxkaOocYAUww92Xm9kIMytZmfV1YA1Q\nADwL3Fpe26DNQ2b2sZnlAf2AHwflFwF5ZpYLvAiMcPcdwb5bgd8F5/kUeCNOl33cLu+RwXW9WjF5\nXgGL1u2ouIGIiEg10TQ9jSeG9KSgaB+//MvHWtxORCRBmf6BLlt2drbn5OSclnPtPXiEAU98QJIZ\nr/+4L3VSU07LeUVEBMxskbtnhx1HZXE6+8cSj7/9CU/MXc3/fOccBme3rriBiIicErH2kZVyoZ6q\npm5aDR4bnEXhzgOMfTU/7HBEREQSyu3f7sAF7Rtxzysfs2qz5leKiCQaJZUJonfbhoz4Rnum5xQy\nZ/nmsMMRERFJGMlJxvghWdRJrcGtUxax/5DmV4qIJBIllQlk1CUd6dYinbtfWsbWvQfDDkdERCRh\nNK2bxoShWXy2bb/mV4qIJBgllQmkZkoS42/IYv+hYu58MU8dpoiISJQL2jfmjks68vKSjUxfWBh2\nOCIiElBSmWA6NKvL3QM6896qIv60YH3Y4YiIiCSUkRefzdfPbsyvZi1nxaY9YYcjIiIoqUxIN5/f\nhr4dGjNudj6fFu0LOxwREZGEUTK/sl6tGoycsph9ml8pIhI6JZUJKCnJeOT6TNJqJDNqei5Hjh4L\nOyQREZGE0bhOKhOG9mTt9v38/KVlmi4iIhIyJZUJqll6Gg8O6kHeht1MnLs67HBEREQSSp92jRh9\naUdmLf0nUz/SdBERkTApqUxgl/fI4NpeLZk0r4BF63aEHY6IiEhCufWbZ3NRxybc92o+y/+5O+xw\nRESqLSWVCe7eq7uRUa8Wo6Yv1bwRERGRKElJxuODM2lwRmR+5d6DR8IOSUSkWlJSmeDS02rw+A1Z\nFO48wNhX88MOR0REJKE0qpPKxKG9KNz5OWM0v1JEJBRKKiuB3m0bMuIb7ZmeU8ic5ZvDDkdERCSh\n9G7bkJ/068jsvE16HZeISAiUVFYSoy7pSLcW6dz90jK27j0YdjgiIiIJZcRF7flmpyaMfTWfjzdq\nfqWIyOmkpLKSqJmSxPgbsth/qJi7XszT8B4REZEoSUnGY4OzaFSnJrdOWcweza8UETltlFRWIh2a\n1WXMgM7MW1Wk4T0iIiKlNKxdk4lDe7Jx1+eMmakbsCIip4uSykpm2Plt6NuhMeNm5/Np0b6wwxER\nEUko2W0a8rPLOvH6ss08/+G6sMMREakWlFRWMklJxiPXZ5JWI5lR03M5cvRY2CGJiIgklOF92/Gt\nzk15YHY+eRt2hR2OiEiVp6SyEmqWnsaDg3qQt2E3E+euDjscERGRhJKUZDx6fSZN6qQycupidn+u\n+ZUiIvGkpLKSurxHBtf2asmkeQUsWrcz7HBEREQSSoPaNZl4Yy827TrInS8u1fxKEZE4UlJZid17\ndTcy6tVi9Ixc9h0qDjscERGRhHLuWQ24q39n5izfwh/+vjbscEREqiwllZVYeloNHr8hi/U7DjD2\n1fywwxEREUk4/9m3LZd0acqv31hBbqHmV4qIxIOSykqud9uGjPhGe6bnFDJn+eawwxERqZbMrL+Z\nrTKzAjMbU8Z+M7MJwf48M+tVUVsza2hmb5vZ6uCzQdS+u4P6q8zssqjyN81sqZktN7OnzSw5at9g\nM8sP9k2NKj9qZrnBNutU/23CZhZZ4K5p3TRGTlnM7gOaXykicqrFNamMUyc7Nqiba2ZvmVmLoPxS\nM1tkZsuCz29FtXkvOFZJp9k0ntd9uo26pCPdWqRz90vL2Lr3YNjhiIhUK0HiNhkYAHQFhppZ11LV\nBgAdgm048FQMbccAc929AzA3+E2wfwjQDegPPBmVPA5290ygO9AEuD5o0wG4G7jQ3bsBd0TF9rm7\nZwXb1afgT5Jw6p9Rk0k39mTr3oP8VPMrRUROubgllXHsZB9293PcPQt4DbgnKN8GXOXuPYBhwB9L\nneumqE5z6ym81NDVTEli/A1Z7D9UzF0v6mXPIiKnWW+gwN3XuPthYBowsFSdgcDzHjEfqG9mGRW0\nHQg8F3x/Drgmqnyaux9y98+AguA4uPueoE4KUBMo6RB+AEx2951BvSrVD8ai55kNGDOgC2/nb+H3\nf/ss7HBERKqUeD6pjEsnG9VhAtQm6DDdfYm7/zMoXw7UMrPUeF1counQrC5jBnRm3qoipixYH3Y4\nIiLVSUugMOr3hqAsljrltW3m7puC75uBZrGcz8zmAFuBvcCLQXFHoKOZ/d3M5ptZ/6j2aWa2OCi/\nhirs+xe2oV/XZjz0xkoWr9fK6SIip0o8k8p4dbKY2TgzKwRu4t9PKqNdByx290NRZc8FQ1//28zs\neC+mMhh2fhv6dmjMA7Pz+bRoX9jhiIjIKeKRISgxDUNx98uADCAVKJkKkkJkVNA3gaHAs2ZWP9h3\nlrv3Am4ExptZ+9LHNLPhZpZjZjlFRUUndS1hMjMe/k4mzeul8aOpS9h14HDYIYmIVAmVcqEed/+F\nu7cGpgC3Re8zs27Ab4AfRhXfFMwh6Rts3y3ruJW900xKinSWqSnJjJqey5Gjx8IOSUSkOtgItI76\n3Sooi6VOeW23BKN3CD5LhqxWeD53Pwi8wr9HCG0AZrn7kWDI7CdEkkzcfWPwuQZ4D+hZ+gLd/Rl3\nz3b37CZNmnz5L1CJ1DujBpNv7MXWvQf5yQzNrxQRORXimVTGq5ONNoXIU0kAzKwV8DJws7t/WlIe\n1WHuBaYSzD0prSp0ms3rpfHra3uQt2E3E+euDjscEZHqYCHQwczamllNIovolF5FdRZwc7BAXR9g\ndzC0tby2s4isEUDw+UpU+RAzSzWztkSSw4/MrE5UEpoCXAGsDNr8hchTSsysMZHhsGvMrEHJVJGg\n/EKgyr+jKrN1fX5+eRfmrtzKsx+sCTscEZFKL55JZVw62WAFuxIDCTrMYBjPbGCMu/+9pIKZpQQd\nJWZWA7gS+PjUX27iuLxHBtf2asmkeQUsWqc5IyIi8eTuxURGzcwBVgAz3H25mY0wsxFBtdeBNUQW\n1XkWuLW8tkGbh4BLzWw1cEnwm2D/DCLJ35vASHc/SmSdgVlmlgfkEnmy+XRwrDnAdjPLB+YBP3P3\n7UAXIMfMlgblD7l7lU8qAW65oA0DujfnN2+uYtG6HWGHIyJSqVk8h32Y2eXAeCAZ+F93H1fSwbr7\n08HcxklElkQ/AHzP3XO+qm1QPhPoBBwD1gEj3H2jmf2SyHLp0Y/n+gH7gfeBGsGx3gFGBx3wV8rO\nzvacnJxT8FcIx56DRxgw/gNSko3Xb+9L7dSUsEMSEUlIZrbI3bPDjqOyqOz9Y7Q9B49w5YS/ceTo\nMV6/vS8NatcMOyQRkYQSax8Z16SyMqsKneZHn+3ghmc+5Ibs1jx03TlhhyMikpCUVB6fqtA/Rlu2\nYTfXPfUPLjy7Eb8f9jWSkqrkWn4iIick1j6yUi7UI7Hp3bYhP7yoPdMWFvLW8s1hhyMiIpJwerSq\nxy+v7MK8VUU8o/mVIiInREllFTf60o50zUhnzEvL2Lr3YNjhiIiIJJzv9jmLK3pk8PCcVSxcq/mV\nIiLHS0llFVczJYknhmSx/1Axd72Yp6XTRURESjEzfn1dD1o1qMWPpi5h+75DFTcSEZF/UVJZDXRo\nVpcxAzozb1URUxasDzscERGRhJOeFnl/5Y4Dhxk9YynHjukmrIhIrJRUVhPDzm9D3w6NGTd7BWuK\n9oUdjoiISMLp3rIe91zZlb9+UsRTf/204gYiIgIoqaw2kpKMh7+TSc2UJEZNz+XI0WNhhyQiIpJw\nbjrvTK48J4NH31rFgjXbww5HRKRSUFJZjTSvl8aDg3qwdMNuJr5bEHY4IiIiCcfM+PW1PTirUW1u\nn7aEbZpfKSJSISWV1cwV52Rwbc+WTHp3NYvW7Qw7HBERkYRTN5hfufPAEUZNz9X8ShGRCiiprIbu\nHdiNjHq1GD0jl/2HisMOR0REJOF0bZHOvVd144PV25g8T6N7RETKo6SyGkpPq8HjN2SxfscBxr6W\nH3Y4IiIiCWlo79YMzGrB4+98woefan6liMhXUVJZTfVu25AfXtSeaQsLeTt/S9jhiIiIJBwz48FB\nPWjTODK/smiv5leKiJRFSWU1NvrSjnTNSGfMzDx1lCIiImWonZrC5Bt7sefzI9wxfQlHNb9SRORL\nlFRWYzVTkhg/JIu9h4q5a2Ye7uooRURESuuSkc79A7vx94LtTNLq6SIiX6Kksprr2KwuY/p35t2V\nW5myYH3Y4YiIiCSkwdmtubZnS8bP/YR/FGwLOxwRkYSipFK45YI29O3QmHGzV7CmaF/Y4YiIiCQc\nM2PsNd1p17g2t0/LZeveg2GHJCKSMJRUCklJxsPfyaRmShKjpudy5OixsEMSERFJOLVTU3jypnPZ\nd+gIP34hV/MrRUQCSioFgOb10nhwUA+WbtjNRM0XERERKVOn5nUZO7A7H67ZzhNzV4cdjohIQlBS\nKf9yxTkZXNuzJZPnFbB4/c6wwxEREUlI12e35rperZj47mo+WF0UdjgiIqFTUilfcO/AbjRPT2PU\n9Fz2HyoOOxwREZGENPaabpzdpA53TMtlyx7NrxSR6k1JpXxBeloNHhucyfodBxj7Wn7Y4YiIiCSk\nM2qm8ORNvThw+Ci3v7CEYq1HICLVmJJK+ZLz2jXihxe1Z9rCQt7O3xJ2OCIiIgmpQ7O6PHBNdxZ8\ntoPx72h+pYhUX3FNKs2sv5mtMrMCMxtTxn4zswnB/jwz61VRWzMbG9TNNbO3zKxF1L67g/qrzOyy\nqPJzzWxZsG+CmVk8r7sqGH1pR7pmpDNmZh5Few+FHY6IiEhCuu7cVgzObsXk9wr46yeaXyki1VPc\nkkozSwYmAwOArsBQM+taqtoAoEOwDQeeiqHtw+5+jrtnAa8B9wRtugJDgG5Af+DJ4DgEx/1B1Ln6\nn/ILrmJqpiQxfkgWew8Vc9fMPNy1bLqIiEhZ7ru6Ox2b1mXU9Fw279b8ShGpfuL5pLI3UODua9z9\nMDANGFiqzkDgeY+YD9Q3s4zy2rr7nqj2tQGPOtY0dz/k7p8BBUDv4Hjp7j7fI5nR88A1cbniKqZj\ns7qM6d+Zd1duZepH68MOR0REJCHVqpnM5Jt6cfCI5leKSPUUz6SyJVAY9XtDUBZLnXLbmtk4MysE\nbiJ4UlnBsTZUEId8hVsuaMPXz27MA6+tYE3RvrDDERERSUhnN63Dg4N68NHaHTz29idhhyMiclpV\nyoV63P0X7t4amALcdqqOa2bDzSzHzHKKijQvAiApyXjk+kxqpiQxanouR3T3VUREpEzX9GzJ0N6t\nefK9T5m3amvY4YiInDbxTCo3Aq2jfrcKymKpE0tbiCSV18VwrFYxHAt3f8bds909u0mTJmVVqZaa\n10vjwUE9WLphNxPfLQg7HBERkYT1q6u60bl5XUZPz+Wfuz4POxwRkdMinknlQqCDmbU1s5pEFtGZ\nVarOLODmYBXYPsBud99UXlsz6xDVfiCwMupYQ8ws1czaElmQ56PgeHvMrE+w6uvNwCtxueIq7Ipz\nMri2Z0smzytg8fqdYYcjIiKSkNJqJPPkTb04XHyMH72wRCN8RKRaiFtS6e7FRIamzgFWADPcfbmZ\njTCzEUG114E1RBbVeRa4tby2QZuHzOxjM8sD+gE/DtosB2YA+cCbwEh3Pxq0uRX4XXCeT4E34nXd\nVdm9A7vRPD2NUdNz2X+oOOxwREREElK7JnV48NoeLFq3k0feWhV2OCIicWd6VUTZsrOzPScnJ+ww\nEs6CNdsZ8ux8hnytNb++9pywwxEROWlmtsjds8OOo7JQ/xi7n7+8jKkL1vP7Ydl8u0uzsMMRETlu\nsfaRlXKhHgnPee0aMfyidrzwUSFv528JOxwREZGEdc+VXemakc5P/ryUjZpfKSJVmJJKOW6jL+1I\nl4x0xsybD/tAAAAgAElEQVTMo2jvobDDERERSUhpNSLvryw+6vxo6mLNrxSRKktJpRy31JRknhiS\nxd5Dxdw1Mw8NoRYRESlb28a1eei6Hixev4v/eXNlxQ1ERCohJZVyQjo2q8uY/p15d+VWpn60Puxw\nREREEtaV57Tgu33O4tkPPtPUERGpkpRUygm75YI2fP3sxjzw2grWFO0LOxwREZGE9YsrutC9ZTo/\n/fNSNuw8EHY4IiKnlJJKOWFJScYj12dSMyWJUTOWaq6IiFRbZtbfzFaZWYGZjSljv5nZhGB/npn1\nqqitmTU0s7fNbHXw2SBq391B/VVmdllU+ZtmttTMlpvZ02aWHLVvsJnlB/umRpUPC86x2syGneq/\njUSk1Uhm8o29OHbMGTl1CYeL1WeKSNWhpFJOSvN6aYwb1J2lhbuY9G5B2OGIiJx2QeI2GRgAdAWG\nmlnXUtUGAB2CbTjwVAxtxwBz3b0DMDf4TbB/CNAN6A88GZU8Dnb3TKA70AS4PmjTAbgbuNDduwF3\nBOUNgV8B5wG9gV9FJ69yap3VqDb/851zWFq4i99ofqWIVCFKKuWkXXlOC67t2ZJJ8wpYvH5n2OGI\niJxuvYECd1/j7oeBacDAUnUGAs97xHygvpllVNB2IPBc8P054Jqo8mnufsjdPwMKguPg7nuCOilA\nTaBkJbUfAJPdfWdQb2tQfhnwtrvvCPa9TSRRlTgZ0CODWy5ow+//9hlzlm8OOxwRkVNCSaWcEvcO\n7Ebz9DRGTc9l/6HisMMRETkuZpZsZif66KglUBj1e0NQFkud8to2c/dNwffNQLNYzmdmc4CtwF7g\nxaC4I9DRzP5uZvPNrH8sx5L4uPvyzpzTqh4//fNSCndofqWIVH5KKuWUSE+rwWODM1m/4wAPzM4P\nOxwRkePi7keBVWZ2ZtixlMUj726K6f1N7n4ZkAGkAt8KilOIDL39JjAUeNbM6sd6fjMbbmY5ZpZT\nVFR0PKFLGVJTIvMrAW6buljzK0Wk0lNSKafMee0aMfyidrzwUaGWTBeRyqgBsNzM5prZrJIthnYb\ngdZRv1sFZbHUKa/tlmCILMFnyZDVCs/n7geBV/j3UNoNwCx3PxIMmf2ESJIZS+y4+zPunu3u2U2a\nNCm9W05A64Zn8PB3Mlm6YTcPvr4i7HBERE6Kkko5pUZf2pEuGemMmZlH0d5DYYcjInI8/hu4Ergf\neDRqq8hCoIOZtTWzmkQW0SmdjM4Cbg5Wge0D7A6GtpbXdhZQshrrMCJJYkn5EDNLNbO2RJLDj8ys\nTlQSmgJcAZQM6f0LkaeUmFljIsNh1wBzgH5m1iBYoKdfUCanQf/uzfnehW34v3+s5Y1lmypuICKS\noJRUyimVmpLME0Oy2HuomDEz84iM2BIRSXzu/lciSVjdYFsRlFXUrhi4jUgytgKY4e7LzWyEmY0I\nqr1OJIkrAJ4Fbi2vbdDmIeBSM1sNXBL8Jtg/A8gH3gRGBsN3awOzzCwPyCXyZPPp4FhzgO1mlg/M\nA37m7tvdfQcwlkhyuxC4PyiT0+TuAV3IbF2fO1/MY/12za8UkcrJ9B/9ZcvOzvacnJyww6i0/vdv\nn3H/a/mMG9Sdm847K+xwRES+kpktcvdsMxsMPAy8BxjQl0jy9WJ57asb9Y+nXuGOA1wx4QPOalSb\nF//rfFJTkituJCJyGpT0kRXV05NKiYtbLmjD189uzAOvrWBN0b6wwxERicUvgK+5+zB3v5nIazr+\nO+SYpBpo3fAMHrk+k2UbdzNutuZXikjlo6RS4iIpyXjk+kxqpiQxasZSjhzVynYikvCSot7fCLAd\n9ZNymvTr1pz//Hpbnv9wHbPzNL9SRCoXdZYSN83rpTFuUHeWFu5i0rsFYYcjIlKRN81sjpndYma3\nALOJzIUUOS3uGtCZnmfW566Zeazdtj/scEREYqakUuLqynNaMKhnSybNK2DJ+p1hhyMi8pXc/WfA\nb4Fzgu0Zd78r3KikOqmRnMTEoT1JTjJunbKYg0eOhh2SiEhMlFRK3N03sBvN09MYNT2X/YeKww5H\nRORLzCzZzOa5+0vuPjrYXg47Lql+WjU4g8cGZ5K/aQ8PzM4POxwRkZgoqZS4S0+rwaODM1m344A6\nSBFJSMErOY6ZWb2wYxH5dpdm/PCidvxp/npeXfrPsMMREalQStgBSPXQp10jhl/Ujt/+dQ3f6tyM\nS7s2CzskEZHS9gHLzOxt4F8T2tz99vBCkurqp5d1ImfdTsbMzKNbi3TaNakTdkgiIl8prk8qzay/\nma0yswIzG1PGfjOzCcH+PDPrVVFbM3vYzFYG9V82s/pB+U1mlhu1HTOzrGDfe8GxSvY1jed1S9lG\nX9qRLhnpjJmZR9HeQ2GHIyJS2ktEXiHyPrAoahM57UrmV9ZMSWLk1CWaXykiCS1uSaWZJQOTgQFA\nV2ComXUtVW0A0CHYhgNPxdD2baC7u58DfALcDeDuU9w9y92zgO8Cn7l7btS5birZX2rJeDlNUlOS\neWJIFnsPFTNmZh7uHnZIIiLAv/qdfu7+XOkt7Nik+mpRvxaPDc5ixaY93Peqpo+ISOKK55PK3kCB\nu69x98PANGBgqToDgec9Yj5Q38wyymvr7m+5e8lqL/OBVmWce2jQRhJMx2Z1uat/Z+au3MoLHxWG\nHY6ICPCvOZVnmVnNsGMRiXZx56aM+EZ7XvhoPa/kbgw7HBGRMsUzqWwJRGcNG4KyWOrE0hbg+8Ab\nZZTfALxQquy5YOjrf5uZVRy+xMv3LmjDhWc3Yuxr+Xym93CJSOJYA/w96CdGl2xhByXy034d+Vqb\nBvz8pWV8WrQv7HBERL6k0q7+ama/AIqBKaXKzwMOuPvHUcU3uXs3oG+wffcrjjnczHLMLKeoqChO\nkUtSkvHI9ZnUTEnijum5HDl6LOyQREQAPgVeI9I31o3aREKVkpzEhKE9Sa2RzMgpi/n8sOZXikhi\niWdSuRFoHfW7VVAWS51y25rZLcCVRJLF0hPzhlDqKaW7bww+9wJTiQyv/RJ3f8bds909u0mTJuVd\nm5ykjHq1GDeoO0sLdzHp3YKwwxERwd3vc/f7gIdLvge/RUKXUa8Wjw3OZOXmvdz36vKwwxER+YJ4\nJpULgQ5m1jaYozIEmFWqzizg5mAV2D7AbnffVF5bM+sP3Alc7e4Hog9mZknAYKLmU5pZipk1Dr7X\nIJKMRj/FlJBceU4LBvVsyaR5BSxZvzPscESkmjOz880sH1gZ/M40sydDDkvkX77ZqSkjL27PtIWF\nvLxkQ9jhiIj8S9ySymAxnduAOcAKYIa7LzezEWY2Iqj2OpE5LAXAs8Ct5bUN2kwiMhzp7WCO5NNR\np70IKHT3NVFlqcAcM8sDcok88Xz2lF+wnJD7BnajeXoao6bnsv9QccUNRETiZzxwGbAdwN2XEulX\nRBLGqEs60rttQ37+0scUbN0bdjgiIgCYXutQtuzsbM/JyQk7jGph/prtDH12PkO+dia/vrZH2OGI\nSDVjZovcPdvMFrj7eWa2xN17BvuWuntm2DEmEvWP4duy5yCXP/EBjerU5JWRX6dWzeSwQxKRKqqk\nj6yoXqVdqEeqjj7tGjG8bzte+Gg97+RvCTscEam+Cs3sAsDNrIaZ/ZTIaBmRhNIsPY3xQ7JYvXUf\n97yiGT0iEj4llZIQRvfrSJeMdO6amUfR3kNhhyMi1dMIYCSRV1htBLKC3yIJp2+HJvzo4rP586IN\nvLhI8ytFJFxKKiUhpKYk88SQLPYeKmbMzDw0LFtETjd33+buN7l7M3dv6u7/4e7bw45L5Kv8+JKO\n9GnXkF/+ZRmfbNH8ShEJj5JKSRgdm9Xlrv6dmbtyKy98VBh2OCIiIgktOcmYMKQndVJrMHLKYg4c\n1oJ3IhKOCpNKM0s2s1GnIxiR713QhgvPbsTY1/L5bNv+sMMRERFJaE3T03hiSBYFRfv45V8+1kgf\nEQlFhUmlux8Fhp6GWERISjIeuT6TGsnGqOm5FB89FnZIIiIiCe3Csxtz+7c68NLijfxZ8ytFJASx\nDn/9u5lNMrO+ZtarZItrZFJtZdSrxbhBPcgt3MWkeQVhhyMi1YSZpZrZjWb2czO7p2QLOy6RWNz+\n7Q5ceHYj7nnlY1Zt1vxKETm9Yk0qs4BuwP3Ao8H2SLyCErkqswWDerZk4rsFLFm/M+xwRKR6eAUY\nCBQD+6M2kYSXnGSMv6EnddNqcOuURew/pPmVInL6pMRSyd0vjncgIqXdN7AbH322g1HTc5l9e19q\np8b0P1cRkRPVyt37hx2EyIlqUjeVJ4Zk8R+/W8Av//Ixjw3OxMzCDktEqoGYnlSaWT0ze8zMcoLt\nUTOrF+/gpHpLT6vBo4MzWbfjAA/M1vvHRSTu/mFmPcIOQuRkXNC+MXdc0pGXl2xk+kKtpC4ip0es\nw1//F9gLDA62PcAf4hWUSIk+7RoxvG87XvhoPe/kbwk7HBGp2r4OLDKzVWaWZ2bLzCwv7KBEjtfI\ni8+mb4fG/GrWclZs2hN2OCJSDcSaVLZ391+5+5pguw9oF8/AREqM7teRLhnpjHkpj237DoUdjohU\nXQOADkA/4CrgyuBTpFJJTjIevyGLerUi76/cp/mVIhJnsSaVn5vZ10t+mNmFwOfxCUnki1JTkhl/\nQxZ7DhYzZmae3sElInHh7uuA+kQSyauA+kGZSKXTuE4qE4b2ZO32/fz8pWXqO0UkrmJNKkcAk81s\nrZmtBSYBP4xbVCKldGpel7v6d+adFVuZpjkiIhIHZvZjYArQNNj+ZGY/CjcqkRPXp10jftKvE7OW\n/pOpH60POxwRqcIqXE7TzJKATu6eaWbpAO6uAfpy2n3vgja8u3IL97+aT592jWjbuHbYIYlI1fL/\ngPPcfT+Amf0G+BCYGGpUIifhv77RngWf7eC+V/PJal2fbi20zqKInHoVPql092PAncH3PUooJSxJ\nScYj12dSI9kYNT2X4qPHwg5JRKoWA45G/T4alIlUWklJxuODM2lwRmR+5d6DR8IOSUSqoFiHv75j\nZj81s9Zm1rBki2tkImXIqFeLcYN6kFu4i0nzCsIOR0Sqlj8AC8zsXjO7F5gP/D7ckEROXqM6qUwc\n2ovCnZ8zRvMrRSQOYk0qbwBGAu8Di4ItJ15BiZTnqswWXJPVgonvFrBk/c6wwxGRKsLdHwO+B+wI\ntu+5+/hwoxI5NXq3bchP+nVkdt4m/rRA8ytF5NSqMKkM5lT+h7u3LbXplSISmvsGdqdZ3VRGz1jK\ngcNaKl1ETkoSQDACZy3wp2Bbp1E5UpWMuKg93+zUhLGv5vPxxt1hhyMiVUiscyonnYZYRGJWr1YN\nHh2cxdrt+3lg9oqwwxGRyq3kJmnJKJySTaNypEpJSjIeG5xFozo1uXXKYvZofqWInCKxDn+da2bX\nmZkWLJCEcX77Rgzv246pC9bzTv6WsMMRkcqrAKBkFE7UFvOoHDPrb2arzKzAzMaUsd/MbEKwP8/M\nelXUNli/4G0zWx18Nojad3dQf5WZXRZV/qaZLTWz5Wb2tJklB+W3mFmRmeUG239GtTkaVT7reP94\nUrk0rF2TiUN7snHX53r3s4icMrEmlT8EZgCHzGyPme01M60CK6Eb3a8jXTLSGfNSHtv2HQo7HBGp\nxMxsbixlZdRJBiYDA4CuwFAz61qq2gCgQ7ANB56Koe0YYK67dwDmBr8J9g8BugH9gSdLkkdgsLtn\nAt2BJsD1UTFMd/esYPtdVPnnUeVXV3S9Uvllt2nInZd14vVlm3n+w3VhhyMiVUCsSWU94BbgAXdP\nJ9KRXVpRozjduX3YzFYG9V82s/pBeRsz+zzqbuvTUW3ONbNlwbEm6Ilr1ZGaksz4G7LYc7BYd1xF\n5ERZMHeysZk1iFrlvA3QMob2vYECd1/j7oeBacDAUnUGAs97xHygvpllVNB2IPBc8P054Jqo8mnu\nfsjdPyPypLU3fOE90ilATUD/KEqZftC3Hd/q3JQHZueTt2FX2OGISCUXa1I5GegDDA1+76WCeZZx\nvHP7NtDd3c8BPgHujjrep1F3W0dElT8F/CDqXP1jvG6pBDo1r8udl3XinRVbmbawMOxwRKTyaUJk\n/mRn/r3C+SLgFWJbU6AlEP2Pzwa+nIx+VZ3y2jZz903B981As1jOZ2ZzgK1E+uoXo+pdF9xgfdHM\nWkeVp5nZYjObb2bXINVCUpLx6PWZNKmTysipi9n9ueZXisiJizWpPM/dRwIHAdx9J5E7oOWJy51b\nd3/L3UuW+5wPtCoviOB46e4+3yOPsZ7n33d7pYr4/oVtufDsRox9LZ+12/aHHY6IVC5b3b0t8NOo\nuZRt3T3T3RNiobqg/4rpqaO7XwZkAKnAt4LiV4E27t6DyM3Z56KanOXuvYAbgfFm1r70Mc1suJnl\nmFlOUVHRSVyJJJIGtWsy8cZebNp1kDtfXKrRPiJywmJNKo8ETw8dwMyaAMcqaBOvO7fRvg+8EfW7\nbTD09a9m1jfqHBtiOJY6zUosKcl45PpMUpKMO6bnUny0ov95ioh8kbtPNLPuZjbYzG4u2WJouhGI\nfvLXKiiLpU55bbcEN0ZLbpBujfV87n6QyJPWkhuy2929ZOL574Bzo+puDD7XAO8BPUtfoLs/4+7Z\n7p7dpEmT0rulEjv3rAbc1b8zc5Zv4Q9/Xxt2OCJSScWaVE4AXgaamtk44G/Ag3GLKgZm9gugGJgS\nFG0CznT3LGA0MNXM0o/nmOo0K7eMerUYN6gHuYW7mDSvIOxwRKSSMbNfAROD7WLgf4BYFq5ZCHQw\ns7ZmVpPIIjqlV1GdBdwcrCXQB9gdDG0tr+0sYFjwfRiRJLGkfIiZpZpZWyLTOj4yszpRSWgKcAWw\nMvidERXL1cCKoLyBmaUG3xsDFwL5MVyzVCH/2bctl3Rpxq/fWEFuoeZXisjxiympdPcpwJ3Ar4kk\nb9e4+58raBavO7eY2S3AlcBNwZAgggULtgffFwGfAh2Ddq2+6lhStVyV2YJrslow8d0ClqzfGXY4\nIlK5fAf4NrDZ3b8HZBJZqK5cwZSM24A5RJK1Ge6+3MxGmFnJ/P7XgTVEFtV5Fri1vLZBm4eAS81s\nNXBJ8Jtg/wwiyd+bwEh3PwrUBmaZWR6QS+TJZsmidbcHrxlZCtxOZPE9gC5ATlA+D3jI3ZVUVjNm\nxiPXn0PTummMnLKY3Qc0v1JEjo/Fa/x8cJf0EyId9EYid2NvjOosMbMriHSmlwPnARPcvXd5bc2s\nP/AY8A13L4o6VhNgh7sfNbN2wAdAD3ffYWYfEelEFxDp2Ce6++vlxZ+dne05OXrndWW0+/MjDBj/\nPqk1kpl9+9c5o2ZK2CGJSAIzs0Xunm1mHwV90CIiTyr3AivcvXPIISYU9Y9V15L1Oxn82w/5Zqem\nPPPdc9Fi+SJS0kdWVC/W4a/HLY53bicBdYG3S7065CIgz8xyiax2N8LddwT7biUyh6SAyBPM6HmY\nUsXUq1WDRwdnsXb7fh6YvSLscESk8sgJXlP1LJHVXxcDH4Ybksjp0/PMBowZ0IW387fw+799FnY4\nIlKJxO1JZWWnO7GV369fX8Fv31/D74dl8+0uzSpuICLVUll3YYN3VKa7e14oQSUw9Y9Vm7vzwz8u\n4t2VW5kx4nx6ndkg7JBEJEShP6kUCdvofh3pkpHOXTPz2LbvUMUNRKS6OsPMekVvQEMgJfguUm2Y\nGQ9/J5Pm9dL40dQl7DpwOOyQRKQSUFIpVVZqSjLjb8hiz8FixszM0/u3ROSrtAIeBSYTmXv/DJEh\nsAuCMpFqpd4ZNZh8Yy+27j3IT2bo/ZUiUjEllVKldWpelzsv68Q7K7YybWFhxQ1EpDr6xN0vJrK6\nea/g1VLnEnlfo1YLl2ops3V9fnF5F+au3MqzH6wJOxwRSXBKKqXK+/6Fbbnw7EaMfS2ftdv2hx2O\niCSuTu6+rOSHu39M5JUbItXSsAvaMKB7c37z5ioWrdtRcQMRqbaUVEqVl5RkPHJ9JilJxh3Tcyk+\neizskEQkMeWZ2e/M7JvB9iyghXqk2jIzfvOdc2hZvxa3TV3Czv2aXykiZVNSKdVCRr1ajBvUg9zC\nXUye92nY4YhIYvoesBz4cbDlB2Ui1VZ6WmR+5fZ9hxk9I5djxzS/UkS+TEmlVBtXZbbgmqwWTHh3\nNbmFu8IOR0QSjLsfdPfH3X1QsD3u7gfDjkskbD1a1eOXV3Zh3qoifvu+5leKyJcpqZRq5b6B3WlW\nN5VR03M5cLg47HBEJDG0AzCzZWaWV3oLOziRRPDdPmdxRY8MHnlrFQvXan6liHyRkkqpVurVqsGj\ng7NYu30/D8xeEXY4IpIYSpaGvhK4qoxNpNozMx66rgetGtTiR1OXsF3vfxaRKEoqpdo5v30jftC3\nHVMXrGfuii1hhyMi4TsC4O7rytrCDk4kUdQN5lfuOHCYUTOWan6liPyLkkqpln7SryOdm9flrpl5\nbNPdVpHqrqeZ7Slj22tme8IOTiSRdG9Zj3uu7Mr7nxTx1F+18J2IRCiplGopNSWZ8UOy2HOwmDEz\nl+Guu60i1dgSd08vY6vr7ulhByeSaG4670yuymzBo2+tYsGa7WGHIyIJQEmlVFudm6dz52WdeGfF\nFqYvLKy4gYhUC2bW1MzOLNnCjkck0ZgZDw7qzlmNavOjF5ZoxI+IKKmU6u37F7blwrMbcf9r+azd\ntj/scEQkRGZ2tZmtBj4D/gqsBd4INSiRBFUyv3L350cYNV3vrxSp7pRUSrWWlGQ8cn0mKUnGHdNz\nKT56LOyQRCQ8Y4E+wCfu3hb4NjA/3JBEElfXFunce3U3Pli9jcnzCsIOR0RCpKRSqr2MerV4YFAP\ncgt3MXmeFh0QqcaOuPt2IMnMktx9HpAddlAiiWzI11ozMKsFj7/zCR9+qvmVItWVkkoR4OrMFgzM\nasGEd1eTW7gr7HBEJBy7zKwO8D4wxcyeADQuXqQckfmVPWjTuDa3T1tC0V7NrxSpjpRUigTuH9id\nZnVTGTU9lwOHi8MOR0ROv4HAAWAU8CbwKXBVqBGJVAK1U1N48qZe7Pn8CHdMX8JRza8UqXaUVIoE\n6tWqwaODs1i7fT/jZq8IOxwROf1+CGS4e7G7P+fuE4LhsCJSgc7N07l/YDf+XrCdSe9qfqVIdaOk\nUiTK+e0b8YO+7ZiyYD1zV2wJOxwROb3qAm+Z2QdmdpuZNQs7IJHKZHB2a67t2ZLxcz/hHwXbwg5H\nRE4jJZUipfykX0c6N6/LXTPz9O4tkWrE3e9z927ASCAD+KuZvRNyWCKVhpnxwKDutG9Sh9un5bJ1\n78GwQxKR0ySuSaWZ9TezVWZWYGZjythvZjYh2J9nZr0qamtmD5vZyqD+y2ZWPyi/1MwWmdmy4PNb\nUW3eC46VG2xN43ndUrmlpiQzfkgWez4vZszMZbhrbohINbMV2AxsB9RfiByHM2qmMPnGXuw7dIQf\nv5Cr+ZUi1UTckkozSwYmAwOArsBQM+taqtoAoEOwDQeeiqHt20B3dz8H+AS4OyjfBlzl7j2AYcAf\nS53rJnfPCratp+5KpSrq3DydO/t34p0VW5i+sDDscETkNDCzW83sPWAu0Aj4QdDXiMhx6NS8LmMH\ndufDNdt5Yu7qsMMRkdMgnk8qewMF7r7G3Q8D04isrBdtIPC8R8wH6ptZRnlt3f0tdy9ZmnM+0Coo\nX+Lu/wzKlwO1zCw1jtcnVdz3L2zLBe0bcf9r+azdprcKiFQDrYE73L2bu9/r7vlhByRSWV2f3Zrv\nnNvq/7d35/FVVXe/xz+/DIQpAYEQRjXMYmoCpkoRbbUD2FqCVRFqtZP1UrFVqlJ8Ovio6G2fRyvO\nVL291VssIGqLlWqROtT2QY0YgkxlUBmkgChEBkHgd/84O3pIIdkJOdlnJ9/363VeOWfttfb+ncPy\nLH9n77U2d/11FX9btTXqcEQkxVKZVPYEkk/xbAjKwtQJ0xbgO8CfD1N+HrDI3ZMnxD0UXPr6MzOz\ncG9BWrKMDOO2scVkZRiTZlew/8DBqEMSkRRy9+vcvSLqOESaixvLTqRffnuumlnB5irNrxRpzmK7\nUI+Z/QTYD8yoUX4i8EsSS8NXuyhYfOH04HHxEfZ5mZmVm1n51q36VU2ge4c2TD33U7y+bjv3PLcm\n6nBERERio22rxP0rd+87wA9//7p+nBVpxlKZVG4kcSlRtV5BWZg6tbY1s28B55BIFj2pvBfwBHCJ\nu3+cAbj7xuDvB8AjJC6v/Tfufr+7l7p7aX5+frh3Kc3e6OIelJX04M6/rqJi/faowxEREYmN/gW5\nTB1TxMtvvse0ZzW/UqS5SmVS+SrQ38wKzawVMA6YW6POXOCSYBXYYcAOd99UW1szGwVMBka7++7q\nHQWrwD4FTHH3vyeVZ5lZl+B5Nolk9I3UvGVprm4sK6IgN4dJsyrYvW9/3Q1EREQEgPNO7sXY0l7c\n8/xqXvinrgQTaY5SllQGi+lcATwDLAdmu/tSM5tgZhOCavOAtcBq4AHg8traBm3uJnGD6vnBHMnp\nQfkVQD/g5zVuHZIDPGNmlUAFiTOeD6TqfUvz1KFNNreOLeatbbu4+anlUYcjIiISKzeMLmJA11wm\nzargXzs0v1KkuTHdg+/wSktLvby8POowJM3cMm8597+4lt98q5SzBhVEHY6INAIze83dS6OOIy40\nPkpDrd6yk9F3v0RRjw488r1TycqM7dIeIi1G2DFS/zWL1MPVXxrAoG65TJ5Tybs799bdQERERADo\n17U9t5z7KV556z1+Nf+fUYcjIo1ISaVIPeRkZTJtXAlVe/Yz5bEl6Ey/iIhIeGOG9GT8Kb259/k1\nPLdyS9ThiEgjUVIpUk+DuuUxedRAnl2+mVmvrq+7gYiIiHzs+q+eyKBuufxoVgXvbN8TdTgi0giU\nVIo0wHdOK2R4387c+KdlvPXurqjDERERiY3W2Znce9FQ9u0/yA9+/zof6f6VIrGnpFKkATIyjFsv\nKGdjk3oAAB9eSURBVCYrw5g0u0I3dBYREamHPvnt+d/nncRrb7/PrX9ZGXU4InKUlFSKNFCPjm2Y\neu6neH3ddu59fk3U4YhIhMxslJmtNLPVZjblMNvNzO4Mtlea2dC62ppZJzObb2argr/HJG27Lqi/\n0sxGJpU/bWaLzWypmU03s8yg/FtmtjXplluXJrX5ZnCMVWb2zVR8PiKHM7q4Bxedeiy/fmEtC5Zv\njjocETkKSipFjsLo4h6UlfTgjgWrqFi/PepwRCQCQeJ2D3A2MBgYb2aDa1Q7G+gfPC4D7gvRdgqw\nwN37AwuC1wTbxwEnAqOAe6uTR2CsuxcDRUA+cEFSDLPcvSR4PBjsqxNwPXAqcApwfXLyKpJqPztn\nMIO753H1o4vZqPmVIrGlpFLkKN1YVkRBbg6TZlWwe9/+qMMRkaZ3CrDa3de6+z5gJlBWo04Z8LAn\nLAQ6mln3OtqWAQ8Fzx8CxiSVz3T3ve7+JrA62A/uXhXUyQJaAXUtUT0SmO/u77n7+8B8EomqSJOo\nnl+5/4Dzg0cWaX6lSEwpqRQ5Sh3aZHPr2GLe2raLm59aHnU4ItL0egLJS0FvCMrC1KmtbYG7bwqe\n/wsoCHM8M3sG2AJ8AMxJqneemS0xszlm1rsesWNml5lZuZmVb926teZmkaNyfJd2/OK8T7Fo3Xb+\n6+kVUYcjIg2gpFKkEQzv24VLRxQy4+V1/HWF5oWISOPyxE1xQ90Y191HAt2BHOCsoPhJ4Hh3/xSJ\ns5EPHaH5kfZ5v7uXuntpfn5+fZqKhHLOST24eNhxPPC3N5m/TOOoSNwoqRRpJNeMHMigbrlMnrOE\nbTv3Rh2OiDSdjUDvpNe9grIwdWpruzm4RJbgb/Wd4us8nrt/CPyR4FJad9/m7tVfTA8CJ9cjdpEm\n8dNzTqCoZx7XPLqYDe/vjjocEakHJZUijSQnK5Np40qo2vMRUx5fQuLEgoi0AK8C/c2s0MxakVhE\nZ26NOnOBS4JVYIcBO4JLW2trOxeoXo31mySSxOrycWaWY2aFJBb/ecXM2icloVnAV4AVwevuSbGM\nBqqv1X8G+JKZHRMs0POloEykyeVkZXLP14dy8KAz8ZHX2bdf8ytF4kJJpUgjGtQtj8mjBjJ/2WZm\nl6+vu4GIxJ677weuIJGMLQdmu/tSM5tgZhOCavOAtSQW1XkAuLy2tkGbXwBfNLNVwBeC1wTbZwPL\ngKeBie5+AGgHzDWzSqCCxJnN6cG+fhjcZmQx8EPgW8G+3gNuIpHcvgrcGJSJROK4zu34r/NPYvH6\n7fxS8ytFYsN0NuXwSktLvby8POowJIYOHnS+8X9epmL9dub98HSO79Iu6pBEpBZm9pq7l0YdR1xo\nfJSm8J9zl/Lbf7zFry8+mZEndos6HJEWK+wYqTOVIo0sI8O49YJisjKMSbMr2K/l0UVEROrlui8P\n4qReHbjm0cWsf0/zK0XSnZJKkRTo0bENN40p4vV127n3+TVRhyMiIhIr1fMrAa54ZJHmV4qkOSWV\nIilSVtKTspIe3LFgFYvXb486HBERkVjp3akt/31+MYs37OCWeboPtEg6U1IpkkI3lhVRkJvDpFkV\n7N63P+pwREREYmVUUTe+c1ohv/3HW/x5yaaowxGRI1BSKZJCHdpkc+vYYt7ctku/soqIiDTAlLMH\nUdy7I5PnVLJum+ZXiqQjJZUiKTa8bxcuHVHI7xau468rNkcdjoiISKy0ysrg7vFDMIOJjyxi7/4D\nUYckIjUoqRRpAteMHMigbrlMnrOEbTv3Rh2OiIhIrPTu1JbbxpawZOMObn5KV/6IpJuUJpVmNsrM\nVprZajObcpjtZmZ3BtsrzWxoXW3N7L/NbEVQ/wkz65i07bqg/kozG5lUfrKZLQm23Wlmlsr3LVJT\nTlYm08aVULXnI6Y8vgTdH1ZERKR+vji4gEtHFPLw/7zNU5WaXymSTlKWVJpZJnAPcDYwGBhvZoNr\nVDsb6B88LgPuC9F2PlDk7icB/wSuC9oMBsYBJwKjgHuD/RDs93tJxxrV2O9XpC6DuuUxedRA5i/b\nzOzy9VGHIyIiEjs/PnsQQ47tyI8fq+Std3dFHY6IBFJ5pvIUYLW7r3X3fcBMoKxGnTLgYU9YCHQ0\ns+61tXX3v7h79TKaC4FeSfua6e573f1NYDVwSrC/PHdf6InTQw8DY1L2rkVq8Z3TChnetzM3PLmM\nt7dpMBQREamP7MwM7v76UDIzjMtnLOLDjzS/UiQdpDKp7Akkn47ZEJSFqROmLcB3gD+H2NeGEPsS\nSbmMDOPWC4rJyjAmzapg/wHdzFlERKQ+enZsw6/GFrNsUxVTn1oWdTgiQowX6jGznwD7gRmNuM/L\nzKzczMq3bt3aWLsVOUSPjm24aUwRi9Zt597n10QdjoiISOx8/oQC/tcZffjdwnU8ufidqMMRafFS\nmVRuBHonve4VlIWpU2tbM/sWcA5wkX+y4klt++p1mPJ/4+73u3upu5fm5+fX9t5EjkpZSU9GF/fg\njgWrWLx+e9ThiIiIxM41Iwdy8nHHMOWxStZu3Rl1OCItWiqTyleB/mZWaGatSCyiM7dGnbnAJcEq\nsMOAHe6+qba2ZjYKmAyMdvfdNfY1zsxyzKyQxII8rwT7qzKzYcGqr5cAf0zZuxYJ6aayIrrm5jBp\nVgW79+2vu4GIiIh8LDszg7vGD6FVVgYTH3ld8ytFIpSypDJYTOcK4BlgOTDb3Zea2QQzmxBUmwes\nJbGozgPA5bW1DdrcDeQC882swsymB22WArOBZcDTwER3r/52uRx4MDjOGj6ZhykSmQ5ts7ltbDFv\nbtvFLfN0zy0REZH66tGxDb+6sITlm6q44UnNrxSJSlYqd+7u80gkjsll05OeOzAxbNugvF8tx7sZ\nuPkw5eVAUejARZrI8L5duHREIQ/87U0+P6iAMwd1jTokERGRWDlzYFe+/7m+3Pf8Gob16URZidZj\nFGlqsV2oR6S5uGbkQAZ1y+XaOZVs27k36nBERERi5+ovDuDTxx/DdY8vYY3mV4o0OSWVIhHLycpk\n2rgSqvZ8xJTHl/DJ2lMiIiISRlZmBneNH0rr7EwmzljEnn2aXynSlJRUiqSBQd3yuHbkQOYv28zs\n8vV1NxAREZFDdOvQmtsvLGHFvz7gP+curbuBiDQaJZUiaeK7Iwr5TJ/O3PDkMt7etivqcERERGLn\nswPymXhmX2aVr+fxRRuiDkekxVBSKZImMjKM28YWk5lhTJpVwf4DB6MOSUREJHYmfWEApxZ24idP\nvMHqLR9EHY5Ii6CkUiSN9OjYhqljili0bjv3Pb8m6nBERERiJyszgzvHD6Ftq0wun7FI94IWaQJK\nKkXSTFlJT0YX9+COBauo3LA96nBERERipyCvNdPGlbBqy06u/6PmV4qkmpJKkTR0U1kR+bk5XDWz\nQr+wioiINMDp/fP5wZn9ePS1Dcx5TfMrRVJJSaVIGurQNpvbLihm7bu7uGXe8qjDERERiaUrvzCA\nYX068dM/LOGfmzW/UiRVlFSKpKnh/bpw6YhCfrdwHc+t2BJ1OCIiIrGTmWHcOW4I7XOyNb9SJIWU\nVIqksWtGDmRQt1yunVPJtp17ow5HREQkdrrmteaOcSWs2bqTn/7hDdw96pBEmh0llSJprHV2JtPG\nlVC15yOue3yJBkIREZEGOK1fF678fH8eX7SRRzW/UqTRKakUSXODuuVx7ciB/GXZZh4t10AoIiLS\nED84qz+n9evMz//4Biv/pfmVIo1JSaVIDHx3RCGf6dOZG55cytvbdkUdjoiISOxkZhjTLhxCbuts\nLp/xGrv2an6lSGNRUikSAxkZxm1ji8nIMCbNqmD/gYNRhyQiIhI7+bk53DGuhDff3aX5lSKNSEml\nSEz06NiGqWOKWLRuO/c9vybqcERERGJpeN8uXPWFATzx+kZmvbo+6nBEmgUllSIxUlbSk9HFPbhj\nwSoqN2yPOhwREZFYmnhmP07v34Xr5y5l+aaqqMMRiT0llSIxc1NZEfm5OVw1q4I9+w5EHY6IiEjs\nZGYYt19YQoc22UycsYidml8pclSUVIrETIe22dx2QTFrt+7ilnnLow5HREQklrq0z+HO8UN4a9su\n/kO37RI5KkoqRWJoeL8uXDqikP+38G2eW7El6nBERERiaVifzlz9pYHMXfwOj7yyLupwRGJLSaVI\nTF0zciCDuuVy7ZxKtu3cG3U4Ii2amY0ys5VmttrMphxmu5nZncH2SjMbWldbM+tkZvPNbFXw95ik\nbdcF9Vea2cik8qfNbLGZLTWz6WaWWSOO88zMzaw0qeyAmVUEj7mN+bmIxMH3P9uXMwbkc8OTy1j6\nzo6owxGJpZQmlSkaZC8IBsuDNQbFi5IGxYpge0mw7flgX9XbuqbyfYs0hdbZmdx+YQlVez7iOl22\nIxKZIHG7BzgbGAyMN7PBNaqdDfQPHpcB94VoOwVY4O79gQXBa4Lt44ATgVHAvUnJ41h3LwaKgHzg\ngqQ4c4ErgZdrxLbH3UuCx+ij+SxE4igjw7h9bDGd2rZi4oxFfPDhR1GHJBI7KUsqUzjIvgF8DXgx\neUfuPqN6UAQuBt5094qkKhclDZq6XlCahRO653HtyIH8ZdlmHi3fEHU4Ii3VKcBqd1/r7vuAmUBZ\njTplwMOesBDoaGbd62hbBjwUPH8IGJNUPtPd97r7m8DqYD+4e/UylllAKyD516abgF8CHzbGmxZp\nTjq3z+Gurw9h/ft7mKIfakXqLZVnKlMyyLr7cndfWcexxwdtRJq9744o5DN9OnPDk0tZt2131OGI\ntEQ9geSb3W0IysLUqa1tgbtvCp7/CygIczwzewbYAnwAzAnKhgK93f2pw8Tf2swWmdlCMxtzmO0i\nLcKnj+/E1V8awFOVm/jdy5pfKVIfqUwqUzXIhnEh8PsaZQ8Fl77+zMysHvsSSWsZGcZtY4vJyDAm\nza5g/4GDUYckIo3ME6dNQp06cfeRQHcgBzjLzDKAXwFXH6HJce4+FPg6MM3M+tasYGaXmVm5mZVv\n3bq1Qe9BJA4mnNGXMwfmc9OTy3hjo+ZXioTV7BbqMbNTgd3u/kZS8UXufiJwevC4+AhtNWhKLPXo\n2IapY4p47e33mf7CmqjDEWlpNgK9k173CsrC1Kmt7ebg6h2Cv9VTN+o8nrt/CPyRxFU+uSTmWD5v\nZm8Bw4C51esSuPvG4O9a4HlgSM036O73u3upu5fm5+cf7jMQaRYSP9SW0Ll9Ky6fsYgqza8UCSWV\nSWWqBtm6jKPGWcqkAfMD4BGCuSc1adCUOCsr6clXi3sw7dlVVG7YHnU4Ii3Jq0B/Mys0s1YkxqGa\nq6jOBS4JFqgbBuwILm2tre1c4JvB82+SSBKry8eZWY6ZFZJYl+AVM2uflIRmAV8BVrj7Dnfv4u7H\nu/vxwEJgtLuXm9kxZpYTtOkCnAYsa9RPRyRmOrVrxV3jh7Bx+x6mPFap+ZUiIaQyqUzVIHtEwSU+\nY0maT2lmWcFAiZllA+eQWOxHpNmZWlZEfm4OV82qYM++A1GHI9IiuPt+4ArgGWA5MNvdl5rZBDOb\nEFSbB6wlsajOA8DltbUN2vwC+KKZrQK+ELwm2D6bRPL3NDDR3Q8A7UicgawEKkic2ZxeR/gnAOVm\nthh4DviFuyuplBav9PhOTB45kHlL/sXD//N21OGIpD1L5a8vZvZlYBqQCfzG3W+uHmDdfXowt/Fu\nEkui7wa+7e7lR2oblJ8L3EViqfTtQEUwfwQz+xyJAXFYUgztSKwUmx3s61ngR8EAfESlpaVeXl7e\nKJ+DSFP6x+p3+fqDL3PxsOO4aUxR1OGIpD0ze83dS+uuKaDxUVqOgwed7z1czourtvLY94dzUq+O\nUYck0uTCjpEpTSrjTIOmxNnUPy3jwZfe5P9++9OcOVC3ZRWpjZLK+tH4KC3J+7v28ZU7/4aZ8bWh\nPema15qC3JzE37wcurTPITuz2S1RIvKxsGNkVlMEIyJN65qRA3lp9btMnlPJM1edQad2raIOSURE\nJHaOadeKey4aypUzK7jnudUcrHEuxgw6t2tF19zWdM3LoSD4q+RTWhollSLNUOvsTG6/sISyu//O\nlMcq+fXFJ6M76YiIiNTfkGOP4cXJZ7L/wEG27drHlqq9bK76kC0fVP/9MFH2wYcse6eKd3fuDZV8\nFuTlkK/kU5oJJZUizdQJ3fO4ZuQAbpm3gkfLNzD2073rbiQiIiKHlZWZQUFeawryWvMpOhyxXs3k\nc3OQdCYnn0vfqWJbHclnQV7Ox3+rk8+CvERSquRT0o2SSpFm7NIRfXhuxVZueHIpw/p05tjObaMO\nSUREpFlrzOTzDSWfEhNKKkWascRNnIsZOe1FJs2uYNZlw8jS4CIiIhK5+iafm6s+STark8/Nwd/a\nk88cuubmHJJ8ds1rHZQp+ZTGoaRSpJnr0bENU8cUceXMCqa/sIYrzuofdUgiIiISUnLyWZvGTD4L\ngqQzOfksyGtNl/at9OO0HJaSSpEWoKykJ88u38K0Z1dxxoB83WtLRESkmTma5HNz1V621kg+3925\nl5p3HlTyKUeipFKkhZhaVkT5W+9x1awKnvrB6bRplRl1SCIiItLEmjL5TFxye2jyWZCUgCr5bD6U\nVIq0EB3aZnPrBcVc9ODL3DJvOTeNKYo6JBEREUlTDUk+NyddbludfG6uqmfymTzfU8lnbCipFGlB\nTuvXhUtHFPLgS29y1gldOXNg16hDEhERkRhT8imgpFKkxblm5EBeWv0uk+dU8sxVZ9CpXauoQxIR\nEZFmrj7J57s79x2ywNDmqr1sqfqQLR+ETz4PP98zsQKuks/Gp6RSpIVpnZ3J7ReWUHb337nu8Uqm\nf+NkzCzqsERERETIysygW4fWdOtw9Mnnko07lHw2ESWVIi3QCd3zuGbkAG6Zt4JHX9vA2NLeUYck\nIiIiElpDk8/NQdKZnHxWbtjBtl2HTz67tD/cYkNJ9/xU8gkoqRRpsS4d0Ye/rtjCDXOXMqywM8d2\nbht1SCIiIiKNKorksyAvh/zcQ5PPgrzWdG7XfJNPJZUiLVRGhnHb2BJGTXuRSbMrmHXZsGb7RSci\nIiJSm/omn5uTks3q5HNz8GiJyaeSSpEWrGfHNkwdU8SVMyuY/sIarjirf9QhiYiIiKStpkg+Mww6\nt885JNmsTj4LclvTNQ2TTyWVIi1cWUlPnl2+hWnPrqJrXms6tsmOOqRmx+uuIg3Us2Mbinp2iDoM\nERGRQxxV8pn0vL7JZ9fqpDO3Naf26URu66b5/zollSLC1LIiFr39PpPnVEYdiki9XFjam1+ef1LU\nYYiIiDRI2OTzowMH2VbP5HPB1Z9VUikiTadD22yevup03t62O+pQmi3dtSU1OrbVfVZFRKT5y25A\n8tnrmDZNFJ2SShEJ5LbO1mWEIiIiIjEWNvlsbOkxs1NERERERERiSUmliIiIiIiINFhKk0ozG2Vm\nK81stZlNOcx2M7M7g+2VZja0rrZmdoGZLTWzg2ZWmlR+vJntMbOK4DE9advJZrYk2NedZprdJCIi\nIiIi0hhSllSaWSZwD3A2MBgYb2aDa1Q7G+gfPC4D7gvR9g3ga8CLhznsGncvCR4TksrvA76XdKxR\nR/8ORUREREREJJVnKk8BVrv7WnffB8wEymrUKQMe9oSFQEcz615bW3df7u4rwwYR7C/P3Re6uwMP\nA2OO+t2JiIiIiIhISpPKnsD6pNcbgrIwdcK0PZzC4NLXF8zs9KRjbAizLzO7zMzKzax869atIQ4n\nIiIiIiLSsjWnhXo2Ace6ewnwI+ARM8urzw7c/X53L3X30vz8/JQEKSIiIiIi0pyk8j6VG4HeSa97\nBWVh6mSHaHsId98L7A2ev2Zma4ABQbte9dmXiIiIiIiIhJPKM5WvAv3NrNDMWgHjgLk16swFLglW\ngR0G7HD3TSHbHsLM8oMFfjCzPiQW5Fkb7K/KzIYFq75eAvyxEd+niIiIiIhIi5WyM5Xuvt/MrgCe\nATKB37j7UjObEGyfDswDvgysBnYD366tLYCZnQvcBeQDT5lZhbuPBM4AbjSzj4CDwAR3fy8I53Lg\nt0Ab4M/BQ0RERERERI6SJRZElZrMbCvw9lHupgvwbiOE0xQUa+rEKV7FmhpxihXiFW9jxHqcu2si\nfUiNND5Cy+tnTUWxpkacYoV4xatYU6OxYg01RiqpTCEzK3f30qjjCEOxpk6c4lWsqRGnWCFe8cYp\nVjlUnP7tFGtqKNbUiVO8ijU1mjrW5rT6q4iIiIiIiDQxJZUiIiIiIiLSYEoqU+v+qAOoB8WaOnGK\nV7GmRpxihXjFG6dY5VBx+rdTrKmhWFMnTvEq1tRo0lg1p1JEREREREQaTGcqRUREREREpMGUVDaA\nmY0ys5VmttrMphxmu5nZncH2SjMbGrZtRPFeFMS5xMz+YWbFSdveCsorzKw8DWL9nJntCOKpMLOf\nh20bQazXJsX5hpkdMLNOwbam/lx/Y2ZbzOyNI2xPmz4bItZ06q91xZo2/TVkvGnRZ82st5k9Z2bL\nzGypmV15mDpp02flUHEaIzU+RhpvunzfxGZ8DBlvOvXZ2IyRcRkfg+Ol5xjp7nrU4wFkAmuAPkAr\nYDEwuEadLwN/BgwYBrwctm1E8Q4Hjgmen10db/D6LaBLGn22nwP+1JC2TR1rjfpfBf4axecaHO8M\nYCjwxhG2p1OfrSvWtOivIWNNi/4aNt4adSPrs0B3YGjwPBf4Zzp/z+pxyL9LbMbIkLGmxfdNyFjT\n5vumvseM+PsmNuNjyHjTos+GjDWd+mwsxsfgeGk5RupMZf2dAqx297Xuvg+YCZTVqFMGPOwJC4GO\nZtY9ZNsmj9fd/+Hu7wcvFwK9UhzTkRzN59PUn219jzce+H0K46mVu78IvFdLlbTps3XFmkb9Nczn\neiRRfBfUN97I+qy7b3L3RcHzD4DlQM8a1dKmz8oh4jRGanxMndiMkXEaH8PEm0Z9NlZjZFzGR0jf\nMVJJZf31BNYnvd7Av/9DHqlOmLaNrb7H/C6JXzaqOfCsmb1mZpelIL5kYWMdHpzK/7OZnVjPto0l\n9PHMrC0wCngsqbgpP9cw0qnP1keU/TWsdOiv9ZJOfdbMjgeGAC/X2BTXPtvcxWmM1PiYOs1pjEyX\n/toQGiMbWbr113QaI7MaYyfSPJjZmSS+gEYkFY9w941m1hWYb2Yrgl9zorIIONbdd5rZl4E/AP0j\njCeMrwJ/d/fkX8DS7XONHfXXlEqLPmtm7UkM3Fe5e1UqjyVSG33fpFRafN80N+qzKZM2/TXdxkid\nqay/jUDvpNe9grIwdcK0bWyhjmlmJwEPAmXuvq263N03Bn+3AE+QOG0eWazuXuXuO4Pn84BsM+sS\npm1Tx5pkHDUuk2jizzWMdOqzdUqT/lqnNOqv9RV5nzWzbBKD5Qx3f/wwVWLVZ1uQOI2RGh9TpzmN\nkenSX0NLkz5bpzTrs2GlRX9NyzHSm2hSaXN5kDi7uxYo5JMJrifWqPMVDp0c+0rYthHFeyywGhhe\no7wdkJv0/B/AqIhj7cYn91c9BVgXfM5N+tmGPR7QgcQ1+u2i+lyTjns8R54snzZ9NkSsadFfQ8aa\nFv01bLzp0meDz+hhYFotddKqz+rx8b9LbMbIkLGmxfdNyFjT5vsm7DHT4fsmOE5t3+Np0V/rEW9a\n9NmQsaZNn60r1jTrr2k5Rury13py9/1mdgXwDIkVlH7j7kvNbEKwfTowj8SqS6uB3cC3a2ubBvH+\nHOgM3GtmAPvdvRQoAJ4IyrKAR9z96YhjPR/4vpntB/YA4zzxX0mTfrYhYwU4F/iLu+9Kat6knyuA\nmf2exCprXcxsA3A9kJ0Ua9r02RCxpkV/DRlrWvTXesQL6dFnTwMuBpaYWUVQ9h8k/mcp7fqsfCJO\nY6TGx9SJ0xgZp/ExZLxp0WdDxpo2fTZG4yOk6RhZ/euAiIiIiIiISL1pTqWIiIiIiIg0mJJKERER\nERERaTAllSIiIiIiItJgSipFRERERESkwZRUioiIiIiISIMpqRSR0Mzsc2b2p6jjEBERSTcaI6Ul\nU1IpIiIiIiIiDaakUqQZMrNvmNkrZlZhZr82s0wz22lmt5vZUjNbYGb5Qd0SM1toZpVm9oSZHROU\n9zOzZ81ssZktMrO+we7bm9kcM1thZjMsuOOviIhIHGiMFGl8SipFmhkzOwG4EDjN3UuAA8BFQDug\n3N1PBF4Arg+aPAz82N1PApYklc8A7nH3YmA4sCkoHwJcBQwG+gCnpfxNiYiINAKNkSKpkRV1ACLS\n6D4PnAy8GvxA2gbYAhwEZgV1fgc8bmYdgI7u/kJQ/hDwqJnlAj3d/QkAd/8QINjfK+6+IXhdARwP\nvJT6tyUiInLUNEaKpICSSpHmx4CH3P26QwrNflajnjdw/3uTnh9A3yMiIhIfGiNFUkCXv4o0PwuA\n882sK4CZdTKz40j8935+UOfrwEvuvgN438xOD8ovBl5w9w+ADWY2JthHjpm1bdJ3ISIi0vg0Roqk\ngH49EWlm3H2Zmf0U+IuZZQAfAROBXcApwbYtJOaUAHwTmB4MiGuBbwflFwO/NrMbg31c0IRvQ0RE\npNFpjBRJDXNv6Nl9EYkTM9vp7u2jjkNERCTdaIwUOTq6/FVEREREREQaTGcqRUREREREpMF0plJE\nREREREQaTEmliIiIiIiINJiSShEREREREWkwJZUiIiIiIiLSYEoqRUREREREpMGUVIqIiIiIiEiD\n/X9TmSlajj2i6gAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f35f8131f98>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(15, 5))\n", | |
"plt.subplot(1, 2, 1)\n", | |
"plt.plot(history.history['mean_absolute_error'])\n", | |
"plt.title('model MAE')\n", | |
"plt.ylabel('error')\n", | |
"plt.xlabel('epoch')\n", | |
"\n", | |
"plt.subplot(1, 2, 2)\n", | |
"plt.plot(history.history['val_mean_absolute_error'])\n", | |
"plt.title('model validation MAE')\n", | |
"plt.ylabel('validation error')\n", | |
"plt.xlabel('epoch')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 24, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import types\n", | |
"import tempfile\n", | |
"import keras.models\n", | |
"import pickle\n", | |
"import mne as mn\n", | |
"from sklearn.metrics import mean_squared_error" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 25, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def make_keras_picklable():\n", | |
" def __getstate__(self):\n", | |
" model_str = \"\"\n", | |
" with tempfile.NamedTemporaryFile(suffix='.hdf5', delete=True) as fd:\n", | |
" keras.models.save_model(self, fd.name, overwrite=True)\n", | |
" model_str = fd.read()\n", | |
" d = { 'model_str': model_str }\n", | |
" return d\n", | |
"\n", | |
" def __setstate__(self, state):\n", | |
" with tempfile.NamedTemporaryFile(suffix='.hdf5', delete=True) as fd:\n", | |
" fd.write(state['model_str'])\n", | |
" fd.flush()\n", | |
" model = keras.models.load_model(fd.name)\n", | |
" self.__dict__ = model.__dict__\n", | |
"\n", | |
"\n", | |
" cls = keras.models.Model\n", | |
" cls.__getstate__ = __getstate__\n", | |
" cls.__setstate__ = __setstate__" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"make_keras_picklable()\n", | |
"pickle.dump(encoder, open(\"encoder.p\", \"wb\"))\n", | |
"pickle.dump(decoder, open(\"decoder.p\", \"wb\"))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 30, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/opt/conda/anaconda3/lib/python3.6/site-packages/keras/models.py:245: UserWarning: No training configuration found in save file: the model was *not* compiled. Compile it manually.\n", | |
" warnings.warn('No training configuration found in save file: '\n" | |
] | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"1.953125\n" | |
] | |
} | |
], | |
"source": [ | |
"load_encoder = pickle.load(open(\"encoder.p\", \"rb\"))\n", | |
"load_decoder = pickle.load(open(\"decoder.p\", \"rb\"))\n", | |
"x_reduce = load_encoder.predict(np.expand_dims(x_tests[321], axis=2).astype('float32')/255.)\n", | |
"alpha = x_reduce.shape[1] / 64\n", | |
"x_pred = load_decoder.predict(x_reduce)\n", | |
"mse = mean_squared_error(x_tests[321].astype('float32')/255.,x_tests[321].astype('float32')/255.)\n", | |
"score = (1 + mse) * alpha\n", | |
"\n", | |
"print(score)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 41, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"(61, 500, 1)\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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C6Vt0fp6frACGKe0LXFZE2/2qt5/Ppf3svt1LstH5rwYxzCaFapGStdPjfFgq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\nd99w908B96Z4AH4M+FcA7h7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JzJ6ylJyd5qz/yR/z8J+fvYspxrmUEIjTewKYY4S4bLJX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\nXFb5+gAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f35f15577f0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"[[ 3.10140094e-05 1.01841977e-06 9.11373643e-09 ..., 7.73356224e-09\n", | |
" 7.01472118e-07 3.18319217e-05]\n", | |
" [ 3.10140094e-05 1.01841977e-06 9.11373643e-09 ..., 7.73356224e-09\n", | |
" 7.01472118e-07 3.18319217e-05]\n", | |
" [ 3.10140094e-05 1.01841977e-06 9.11373643e-09 ..., 7.73356224e-09\n", | |
" 7.01472118e-07 3.18319217e-05]\n", | |
" ..., \n", | |
" [ 3.10140094e-05 1.01841977e-06 9.11373643e-09 ..., 7.73356224e-09\n", | |
" 7.01472118e-07 3.18319217e-05]\n", | |
" [ 3.10140094e-05 1.01841977e-06 9.11373643e-09 ..., 7.73356224e-09\n", | |
" 7.01472118e-07 3.18319217e-05]\n", | |
" [ 3.10140094e-05 1.01841977e-06 9.11373643e-09 ..., 7.73356224e-09\n", | |
" 7.01472118e-07 3.18319217e-05]]\n" | |
] | |
} | |
], | |
"source": [ | |
"start, stop = raw.time_as_index([100, 100.5]) # 100 s to 120 s data segment\n", | |
"_, times = raw[:, start:stop]\n", | |
"\n", | |
"plt.figure(figsize=(15, 5))\n", | |
"plt.subplot(1,2,1)\n", | |
"plt.plot(times, (x_tests[321].astype('float32')/255.).T)\n", | |
"plt.xlabel('time (s)')\n", | |
"plt.ylabel('EEG data (T)')\n", | |
"plt.title('Before AE')\n", | |
"\n", | |
"print(x_pred.shape)\n", | |
"plt.subplot(1,2,2)\n", | |
"plt.plot(times, np.squeeze(x_pred, axis=2).T)\n", | |
"plt.xlabel('time (s)')\n", | |
"plt.ylabel('EEG data (T)')\n", | |
"plt.title('After AE')\n", | |
"plt.show()\n", | |
"\n", | |
"print(np.squeeze(x_pred, axis=2))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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