I'm training my keras dense models on very large datasets.
For practical reasons, I am saving them on my disk on separate .txt files. I have 1e4 text files, each containing 1e4 examples.
I would like to find a way to fit my keras model on this dataset as a whole. For now, I am only able to use "model.fit" on individual text files, i.e. :
for k in range(10000):
X = np.loadtxt('/path/X_'+str(k)+'.txt')
Y = np.loadtxt('/path/Y_'+str(k)+'.txt')
mod = model.fit(x=X, y=Y, batch_size=batch_size, epochs=epochs)
Which is problematic if I want for instance to perform several epochs on the whole datasets.
Ideally, I would like to have a dataloader function that could be used in the following way to feed all the sub-datasets as a single one:
mod = model.fit(dataloader('/path/'), batch_size=batch_size, epochs=epochs)
I think I found what I want, but only for datasets composed of images: tf.keras.preprocessing.image.ImageDataGenerator.flow_from_directory
Is there any tf/keras function doing something similar, but for datasets which are not composed of images?
Thanks!
You can create a generator function and then use tensorflow Dataset class using from_generator method to create a dataset, see bellow a dummy example:
def mygenerator():
for k in range(1000):
x = np.random.normal(size=1000,)
y = np.random.randint(low=0, high=5, size=1000)
yield x, y
from tensorflow.data import Dataset
mydataset = Dataset.from_generator(mygenerator, output_signature=(tf.TensorSpec(shape=(1000,), dtype=tf.float32), tf.TensorSpec(shape=(1000,), dtype=tf.int32)))
mytraindata = mydataset.batch(batch_size)
I'm trying to create a Dataset object in tensorflow 1.14 (I have some legacy code that i can't change for this specific project) starting from numpy arrays, but everytime i try i get everything copied on my graph and for this reason when i create an event log file it is huge (719 MB in this case).
Originally i tried using this function "tf.data.Dataset.from_tensor_slices()", but it didn't work, then i read it is a common problem and someone suggested me to try with generators, thus i tried with the following code, but again i got a huge event file (719 MB again)
def fetch_batch(x, y, batch):
i = 0
while i < batch:
yield (x[i,:,:,:], y[i])
i +=1
train, test = tf.keras.datasets.fashion_mnist.load_data()
images, labels = train
images = images/255
training_dataset = tf.data.Dataset.from_generator(fetch_batch,
args=[images, np.int32(labels), batch_size], output_types=(tf.float32, tf.int32),
output_shapes=(tf.TensorShape(features_shape), tf.TensorShape(labels_shape)))
file_writer = tf.summary.FileWriter("/content", graph=tf.get_default_graph())
I know in this case I could use tensorflow_datasets API and it would be easier, but this is a more general question, and it involves how to create datasets in general, not only using the mnist one.
Could you explain to me what am i doing wrong? Thank you
I guess it's because you are using args in from_generator. This will surely put the provided args in the graph.
What you could do is define a function that will return a generator that will iterate through your set, something like (haven't tested):
def data_generator(images, labels):
def fetch_examples():
i = 0
while True:
example = (images[i], labels[i])
i += 1
i %= len(labels)
yield example
return fetch_examples
This would give in your example:
train, test = tf.keras.datasets.fashion_mnist.load_data()
images, labels = train
images = images/255
training_dataset = tf.data.Dataset.from_generator(data_generator(images, labels), output_types=(tf.float32, tf.int32),
output_shapes=(tf.TensorShape(features_shape), tf.TensorShape(labels_shape))).batch(batch_size)
file_writer = tf.summary.FileWriter("/content", graph=tf.get_default_graph())
Note that I changed fetch_batch to fetch_examples since you probably want to batch using the dataset utilities (.batch).
I am new to Tensorflow and deep learning, and I am struggling with the Dataset class. I tried a lot of things and I can’t find a good solution.
What I am trying
I have a large amount of images (500k+) to train my DNN with. This is a denoising autoencoder so I have a pair of each image. I am using the dataset class of TF to manage the data, but I think I use it really badly.
Here is how I load the filenames in a dataset:
class Data:
def __init__(self, in_path, out_path):
self.nb_images = 512
self.test_ratio = 0.2
self.batch_size = 8
# load filenames in input and outputs
inputs, outputs, self.nb_images = self._load_data_pair_paths(in_path, out_path, self.nb_images)
self.size_training = self.nb_images - int(self.nb_images * self.test_ratio)
self.size_test = int(self.nb_images * self.test_ratio)
# split arrays in training / validation
test_data_in, training_data_in = self._split_test_data(inputs, self.test_ratio)
test_data_out, training_data_out = self._split_test_data(outputs, self.test_ratio)
# transform array to tf.data.Dataset
self.train_dataset = tf.data.Dataset.from_tensor_slices((training_data_in, training_data_out))
self.test_dataset = tf.data.Dataset.from_tensor_slices((test_data_in, test_data_out))
I have a function to call at each epoch that will prepare the dataset. It shuffles the filenames, and transforms filenames to images and batch data.
def get_batched_data(self, seed, batch_size):
nb_batch = int(self.size_training / batch_size)
def img_to_tensor(path_in, path_out):
img_string_in = tf.read_file(path_in)
img_string_out = tf.read_file(path_out)
im_in = tf.image.decode_jpeg(img_string_in, channels=1)
im_out = tf.image.decode_jpeg(img_string_out, channels=1)
return im_in, im_out
t_datas = self.train_dataset.shuffle(self.size_training, seed=seed)
t_datas = t_datas.map(img_to_tensor)
t_datas = t_datas.batch(batch_size)
return t_datas
Now during the training, at each epoch we call the get_batched_data function, make an iterator, and run it for each batch, then feed the array to the optimizer operation.
for epoch in range(nb_epoch):
sess_iter_in = tf.Session()
sess_iter_out = tf.Session()
batched_train = data.get_batched_data(epoch)
iterator_train = batched_train.make_one_shot_iterator()
in_data, out_data = iterator_train.get_next()
total_batch = int(data.size_training / batch_size)
for batch in range(total_batch):
print(f"{batch + 1} / {total_batch}")
in_images = sess_iter_in.run(in_data).reshape((-1, 64, 64, 1))
out_images = sess_iter_out.run(out_data).reshape((-1, 64, 64, 1))
sess.run(optimizer, feed_dict={inputs: in_images,
outputs: out_images})
What do I need ?
I need to have a pipeline that loads only the images of the current batch (otherwise it will not fit in memory) and I want to shuffle the dataset in a different way for each epoch.
Questions and problems
First question, am I using the Dataset class in a good way? I saw very different things on the internet, for example in this blog post the dataset is used with a placeholder and fed during the learning with the datas. It seems strange because the data are all in an array, so loaded in memory. I don't see the point of using tf.data.dataset in this case.
I found solution by using repeat(epoch) on the dataset, like this, but the shuffle will not be different for each epoch in this case.
The second problem with my implementation is that I have an OutOfRangeError in some cases. With a small amount of data (512 like in the exemple) it works fine, but with a bigger amount of data, the error occurs. I thought it was because of a bad calculation of the number of batch due to bad rounding, or when the last batch has a smaller amount of data, but it happens in batch 32 out of 115... Is there any way to know the number of batch created after a batch(n) call on dataset?
Sorry for this loooonng question, but I've been struggling with this for a few days.
As far as I know, Official Performance Guideline is the best teaching material to make input pipelines.
I want to shuffle the dataset in a different way for each epoch.
Using shuffle() and repeat(), you can get different shuffle pattern for each epochs. You can confirm it with the following code
dataset = tf.data.Dataset.from_tensor_slices([1,2,3,4])
dataset = dataset.shuffle(4)
dataset = dataset.repeat(3)
iterator = dataset.make_one_shot_iterator()
x = iterator.get_next()
with tf.Session() as sess:
for i in range(10):
print(sess.run(x))
You can also use tf.contrib.data.shuffle_and_repeat as the mentioned by the above official page.
There are some problems in your code outside of creating data pipelines. You confuse graph construction with graph execution. You are repeating to create data input pipeline, so there are many redundant input pipelines as many as epochs. You can observe the redundant pipelines by Tensorboard.
You should place your graph construction code outside of loop as the following code (pseudo code)
batched_train = data.get_batched_data()
iterator = batched_train.make_initializable_iterator()
in_data, out_data = iterator_train.get_next()
for epoch in range(nb_epoch):
# reset iterator's state
sess.run(iterator.initializer)
try:
while True:
in_images = sess.run(in_data).reshape((-1, 64, 64, 1))
out_images = sess.run(out_data).reshape((-1, 64, 64, 1))
sess.run(optimizer, feed_dict={inputs: in_images,
outputs: out_images})
except tf.errors.OutOfRangeError:
pass
Moreover there are some unimportant inefficient code. You loaded a list of file path with from_tensor_slices(), so the list was embedded in your graph. (See https://www.tensorflow.org/guide/datasets#consuming_numpy_arrays for detail)
You would be better off using prefetch, and decreasing sess.run call by combining your graph.
I am training a deep neural network with a large image dataset in mini-batches of size 40. My dataset is in .mat format (which I can easily change to any other format e.g. .npy format if necessitates) and before training, loaded as a 4-D numpy array. My problem is that while training, cpu-RAM (not GPU RAM) is very quickly exhausting and starts using almost half of my Swap memory.
My training code has the following pattern:
batch_size = 40
...
with h5py.File('traindata.mat', 'r') as _data:
train_imgs = np.array(_data['train_imgs'])
# I can replace above with below loading, if necessary
# train_imgs = np.load('traindata.npy')
...
shape_4d = train_imgs.shape
for epoch_i in range(max_epochs):
for iter in range(shape_4d[0] // batch_size):
y_ = train_imgs[iter*batch_size:(iter+1)*batch_size]
...
...
This seems like the initial loading of the full training data is itself becoming the bottle-neck (taking over 12 GB cpu RAM before I abort).
What is the best efficient way to tackle this bottle-neck?
Thanks in advance.
Loading a big dataset in memory is not a good idea. I suggest you to use something different for loading the datasets, take a look to the dataset API in TensorFlow: https://www.tensorflow.org/programmers_guide/datasets
You might need to convert your data into other format, but if you have a CSV or TXT file with a example per line you can use TextLineDataset and feed the model with it:
filenames = ["/var/data/file1.txt", "/var/data/file2.txt"]
dataset = tf.data.TextLineDataset(filenames)
def _parse_py_fun(text_line):
... your custom code here, return np arrays
def _map_fun(text_line):
result = tf.py_func(_parse_py_fun, [text_line], [tf.uint8])
... other tensorlow code here
return result
dataset = dataset.map(_map_fun)
dataset = dataset.batch(4)
iterator = dataset.make_one_shot_iterator()
input_data_of_your_model = iterator.get_next()
output = build_model_fn(input_data_of_your_model)
sess.run([output]) # the input was assigned directly when creating the model
I have a huge training CSV file (709M) and a large testing CSV file (125M) that I want to send into a DNNClassifier in the context of using the high-level Tensorflow API.
It appears that the input_fn param accepted by fit and evaluate must hold all feature and label data in memory, but I currently would like to run this on my local machine, and thus expect it to run out of memory rather quickly if I read these files into memory and then process them.
I skimmed the doc on streamed-reading of data, but the sample code for reading CSVs appears to be for the low-level Tensorflow API.
And - if you'll forgive a bit of whining - it seems overly-complex for the trivial use case of sending well-prepared files of training and test data into an Estimator ... although, perhaps that level of complexity is actually required for training and testing large volumes of data in Tensorflow?
In any case, I'd really appreciate an example of using that approach with the high-level API, if it's even possible, which I'm beginning to doubt.
After poking around, I did manage to find DNNClassifier#partial_fit, and will attempt to use it for training.
Examples of how to use this method would save me some time, though hopefully I'll stumble into the correct usage in the next few hours.
However, there doesn't seem to be a corresponding DNNClassifier#partial_evaluate ... though I suspect that I could break-up the testing data into smaller pieces and run DNNClassifier#evaluate successively on each batch, which might actually be a great way to do it since I could segment the testing data into cohorts, and thereby obtain per-cohort accuracy.
==== Update ====
Short version:
DomJack's recommendation should be the accepted answer.
However, my Mac's 16GB of RAM enough for it to hold the entire 709Mb training data set in memory without crashing. So, while I will use the DataSets feature when I eventually deploy the app, I'm not using it yet for local dev work.
Longer version:
I started by using the partial_fit API as described above, but upon every use it emitted a warning.
So, I went to look at the source for the method here, and discovered that its complete implementation looks like this:
logging.warning('The current implementation of partial_fit is not optimized'
' for use in a loop. Consider using fit() instead.')
return self.fit(x=x, y=y, input_fn=input_fn, steps=steps,
batch_size=batch_size, monitors=monitors)
... which reminds me of this scene from Hitchhiker's Guide:
Arthur Dent: What happens if I press this button?
Ford Prefect: I wouldn't-
Arthur Dent: Oh.
Ford Prefect: What happened?
Arthur Dent: A sign lit up, saying 'Please do not press this button again'.
Which is to say: partial_fit seems to exist for the sole purpose of telling you not to use it.
Furthermore, the model generated by using partial_fit iteratively on training file chunks was much smaller than the one generated by using fit on the whole training file, which strongly suggests that only the last partial_fit training chunk actually "took".
Check out the tf.data.Dataset API. There are a number of ways to create a dataset. I'll outline four - but you'll only have to implement one.
I assume each row of your csv files is n_features float values followed by a single int value.
Creating a tf.data.Dataset
Wrap a python generator with Dataset.from_generator
The easiest way to get started is to wrap a native python generator. This can have performance issues, but may be fine for your purposes.
def read_csv(filename):
with open(filename, 'r') as f:
for line in f.readlines():
record = line.rstrip().split(',')
features = [float(n) for n in record[:-1]]
label = int(record[-1])
yield features, label
def get_dataset():
filename = 'my_train_dataset.csv'
generator = lambda: read_csv(filename)
return tf.data.Dataset.from_generator(
generator, (tf.float32, tf.int32), ((n_features,), ()))
This approach is highly versatile and allows you to test your generator function (read_csv) independently of TensorFlow.
Use Tensorflow Datasets API
Supporting tensorflow versions 1.12+, tensorflow datasets is my new favourite way of creating datasets. It automatically serializes your data, collects statistics and makes other meta-data available to you via info and builder objects. It can also handle automatic downloading and extracting making collaboration simple.
import tensorflow_datasets as tfds
class MyCsvDatasetBuilder(tfds.core.GeneratorBasedBuilder):
VERSION = tfds.core.Version("0.0.1")
def _info(self):
return tfds.core.DatasetInfo(
builder=self,
description=(
"My dataset"),
features=tfds.features.FeaturesDict({
"features": tfds.features.Tensor(
shape=(FEATURE_SIZE,), dtype=tf.float32),
"label": tfds.features.ClassLabel(
names=CLASS_NAMES),
"index": tfds.features.Tensor(shape=(), dtype=tf.float32)
}),
supervised_keys=("features", "label"),
)
def _split_generators(self, dl_manager):
paths = dict(
train='/path/to/train.csv',
test='/path/to/test.csv',
)
# better yet, if the csv files were originally downloaded, use
# urls = dict(train=train_url, test=test_url)
# paths = dl_manager.download(urls)
return [
tfds.core.SplitGenerator(
name=tfds.Split.TRAIN,
num_shards=10,
gen_kwargs=dict(path=paths['train'])),
tfds.core.SplitGenerator(
name=tfds.Split.TEST,
num_shards=2,
gen_kwargs=dict(cvs_path=paths['test']))
]
def _generate_examples(self, csv_path):
with open(csv_path, 'r') as f:
for i, line in enumerate(f.readlines()):
record = line.rstrip().split(',')
features = [float(n) for n in record[:-1]]
label = int(record[-1])
yield dict(features=features, label=label, index=i)
Usage:
builder = MyCsvDatasetBuilder()
builder.download_and_prepare() # will only take time to run first time
# as_supervised makes output (features, label) - good for model.fit
datasets = builder.as_dataset(as_supervised=True)
train_ds = datasets['train']
test_ds = datasets['test']
Wrap an index-based python function
One of the downsides of the above is shuffling the resulting dataset with a shuffle buffer of size n requires n examples to be loaded. This will either create periodic pauses in your pipeline (large n) or result in potentially poor shuffling (small n).
def get_record(i):
# load the ith record using standard python, return numpy arrays
return features, labels
def get_inputs(batch_size, is_training):
def tf_map_fn(index):
features, labels = tf.py_func(
get_record, (index,), (tf.float32, tf.int32), stateful=False)
features.set_shape((n_features,))
labels.set_shape(())
# do data augmentation here
return features, labels
epoch_size = get_epoch_size()
dataset = tf.data.Dataset.from_tensor_slices((tf.range(epoch_size,))
if is_training:
dataset = dataset.repeat().shuffle(epoch_size)
dataset = dataset.map(tf_map_fn, (tf.float32, tf.int32), num_parallel_calls=8)
dataset = dataset.batch(batch_size)
# prefetch data to CPU while GPU processes previous batch
dataset = dataset.prefetch(1)
# Also possible
# dataset = dataset.apply(
# tf.contrib.data.prefetch_to_device('/gpu:0'))
features, labels = dataset.make_one_shot_iterator().get_next()
return features, labels
In short, we create a dataset just of the record indices (or any small record ID which we can load entirely into memory). We then do shuffling/repeating operations on this minimal dataset, then map the index to the actual data via tf.data.Dataset.map and tf.py_func. See the Using with Estimators and Testing in isolation sections below for usage. Note this requires your data to be accessible by row, so you may need to convert from csv to some other format.
TextLineDataset
You can also read the csv file directly using a tf.data.TextLineDataset.
def get_record_defaults():
zf = tf.zeros(shape=(1,), dtype=tf.float32)
zi = tf.ones(shape=(1,), dtype=tf.int32)
return [zf]*n_features + [zi]
def parse_row(tf_string):
data = tf.decode_csv(
tf.expand_dims(tf_string, axis=0), get_record_defaults())
features = data[:-1]
features = tf.stack(features, axis=-1)
label = data[-1]
features = tf.squeeze(features, axis=0)
label = tf.squeeze(label, axis=0)
return features, label
def get_dataset():
dataset = tf.data.TextLineDataset(['data.csv'])
return dataset.map(parse_row, num_parallel_calls=8)
The parse_row function is a little convoluted since tf.decode_csv expects a batch. You can make it slightly simpler if you batch the dataset before parsing.
def parse_batch(tf_string):
data = tf.decode_csv(tf_string, get_record_defaults())
features = data[:-1]
labels = data[-1]
features = tf.stack(features, axis=-1)
return features, labels
def get_batched_dataset(batch_size):
dataset = tf.data.TextLineDataset(['data.csv'])
dataset = dataset.batch(batch_size)
dataset = dataset.map(parse_batch)
return dataset
TFRecordDataset
Alternatively you can convert the csv files to TFRecord files and use a TFRecordDataset. There's a thorough tutorial here.
Step 1: Convert the csv data to TFRecords data. Example code below (see read_csv from from_generator example above).
with tf.python_io.TFRecordWriter("my_train_dataset.tfrecords") as writer:
for features, labels in read_csv('my_train_dataset.csv'):
example = tf.train.Example()
example.features.feature[
"features"].float_list.value.extend(features)
example.features.feature[
"label"].int64_list.value.append(label)
writer.write(example.SerializeToString())
This only needs to be run once.
Step 2: Write a dataset that decodes these record files.
def parse_function(example_proto):
features = {
'features': tf.FixedLenFeature((n_features,), tf.float32),
'label': tf.FixedLenFeature((), tf.int64)
}
parsed_features = tf.parse_single_example(example_proto, features)
return parsed_features['features'], parsed_features['label']
def get_dataset():
dataset = tf.data.TFRecordDataset(['data.tfrecords'])
dataset = dataset.map(parse_function)
return dataset
Using the dataset with estimators
def get_inputs(batch_size, shuffle_size):
dataset = get_dataset() # one of the above implementations
dataset = dataset.shuffle(shuffle_size)
dataset = dataset.repeat() # repeat indefinitely
dataset = dataset.batch(batch_size)
# prefetch data to CPU while GPU processes previous batch
dataset = dataset.prefetch(1)
# Also possible
# dataset = dataset.apply(
# tf.contrib.data.prefetch_to_device('/gpu:0'))
features, label = dataset.make_one_shot_iterator().get_next()
estimator.train(lambda: get_inputs(32, 1000), max_steps=1e7)
Testing the dataset in isolation
I'd strongly encourage you to test your dataset independently of your estimator. Using the above get_inputs, it should be as simple as
batch_size = 4
shuffle_size = 100
features, labels = get_inputs(batch_size, shuffle_size)
with tf.Session() as sess:
f_data, l_data = sess.run([features, labels])
print(f_data, l_data) # or some better visualization function
Performance
Assuming your using a GPU to run your network, unless each row of your csv file is enormous and your network is tiny you probably won't notice a difference in performance. This is because the Estimator implementation forces data loading/preprocessing to be performed on the CPU, and prefetch means the next batch can be prepared on the CPU as the current batch is training on the GPU. The only exception to this is if you have a massive shuffle size on a dataset with a large amount of data per record, which will take some time to load in a number of examples initially before running anything through the GPU.
I agree with DomJack about using the Dataset API, except the need to read the whole csv file and then convert to TfRecord. I am hereby proposing to emply TextLineDataset - a sub-class of the Dataset API to directly load data into a TensorFlow program. An intuitive tutorial can be found here.
The code below is used for the MNIST classification problem for illustration and hopefully, answer the question of the OP. The csv file has 784 columns, and the number of classes is 10. The classifier I used in this example is a 1-hidden-layer neural network with 16 relu units.
Firstly, load libraries and define some constants:
# load libraries
import tensorflow as tf
import os
# some constants
n_x = 784
n_h = 16
n_y = 10
# path to the folder containing the train and test csv files
# You only need to change PATH, rest is platform independent
PATH = os.getcwd() + '/'
# create a list of feature names
feature_names = ['pixel' + str(i) for i in range(n_x)]
Secondly, we create an input function reading a file using the Dataset API, then provide the results to the Estimator API. The return value must be a two-element tuple organized as follows: the first element must be a dict in which each input feature is a key, and then a list of values for the training batch, and the second element is a list of labels for the training batch.
def my_input_fn(file_path, batch_size=32, buffer_size=256,\
perform_shuffle=False, repeat_count=1):
'''
Args:
- file_path: the path of the input file
- perform_shuffle: whether the data is shuffled or not
- repeat_count: The number of times to iterate over the records in the dataset.
For example, if we specify 1, then each record is read once.
If we specify None, iteration will continue forever.
Output is two-element tuple organized as follows:
- The first element must be a dict in which each input feature is a key,
and then a list of values for the training batch.
- The second element is a list of labels for the training batch.
'''
def decode_csv(line):
record_defaults = [[0.]]*n_x # n_x features
record_defaults.insert(0, [0]) # the first element is the label (int)
parsed_line = tf.decode_csv(records=line,\
record_defaults=record_defaults)
label = parsed_line[0] # First element is the label
del parsed_line[0] # Delete first element
features = parsed_line # Everything but first elements are the features
d = dict(zip(feature_names, features)), label
return d
dataset = (tf.data.TextLineDataset(file_path) # Read text file
.skip(1) # Skip header row
.map(decode_csv)) # Transform each elem by applying decode_csv fn
if perform_shuffle:
# Randomizes input using a window of 256 elements (read into memory)
dataset = dataset.shuffle(buffer_size=buffer_size)
dataset = dataset.repeat(repeat_count) # Repeats dataset this # times
dataset = dataset.batch(batch_size) # Batch size to use
iterator = dataset.make_one_shot_iterator()
batch_features, batch_labels = iterator.get_next()
return batch_features, batch_labels
Then, the mini-batch can be computed as
next_batch = my_input_fn(file_path=PATH+'train1.csv',\
batch_size=batch_size,\
perform_shuffle=True) # return 512 random elements
Next, we define the feature columns are numeric
feature_columns = [tf.feature_column.numeric_column(k) for k in feature_names]
Thirdly, we create an estimator DNNClassifier:
classifier = tf.estimator.DNNClassifier(
feature_columns=feature_columns, # The input features to our model
hidden_units=[n_h], # One layer
n_classes=n_y,
model_dir=None)
Finally, the DNN is trained using the test csv file, while the evaluation is performed on the test file. Please change the repeat_count and steps to ensure that the training meets the required number of epochs in your code.
# train the DNN
classifier.train(
input_fn=lambda: my_input_fn(file_path=PATH+'train1.csv',\
perform_shuffle=True,\
repeat_count=1),\
steps=None)
# evaluate using the test csv file
evaluate_result = classifier.evaluate(
input_fn=lambda: my_input_fn(file_path=PATH+'test1.csv',\
perform_shuffle=False))
print("Evaluation results")
for key in evaluate_result:
print(" {}, was: {}".format(key, evaluate_result[key]))