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Text generation with an RNN

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This tutorial demonstrates how to generate text using a character-based RNN. We will work with a dataset of Shakespeare's writing from Andrej Karpathy's The Unreasonable Effectiveness of Recurrent Neural Networks. Given a sequence of characters from this data ("Shakespear"), train a model to predict the next character in the sequence ("e"). Longer sequences of text can be generated by calling the model repeatedly.

This tutorial includes runnable code implemented using tf.keras and eager execution. The following is sample output when the model in this tutorial trained for 30 epochs, and started with the string "Q":

I had thought thou hadst a Roman; for the oracle,
Thus by All bids the man against the word,
Which are so weak of care, by old care done;
Your children were in your holy love,
And the precipitation through the bleeding throne.

Marry, and will, my lord, to weep in such a one were prettiest;
Yet now I was adopted heir
Of the world's lamentable day,
To watch the next way with his father with his face?

The cause why then we are all resolved more sons.

O, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, it is no sin it should be dead,
And love and pale as any will to that word.

But how long have I heard the soul for this world,
And show his hands of life be proved to stand.

I say he look'd on, if I must be content
To stay him from the fatal of our country's bliss.
His lordship pluck'd from this sentence then for prey,
And then let us twain, being the moon,
were she such a case as fills m

While some of the sentences are grammatical, most do not make sense. The model has not learned the meaning of words, but consider:

  • The model is character-based. When training started, the model did not know how to spell an English word, or that words were even a unit of text.

  • The structure of the output resembles a play—blocks of text generally begin with a speaker name, in all capital letters similar to the dataset.

  • As demonstrated below, the model is trained on small batches of text (100 characters each), and is still able to generate a longer sequence of text with coherent structure.


Import TensorFlow and other libraries

from __future__ import absolute_import, division, print_function, unicode_literals

!pip install -q tensorflow-gpu==2.0.0-beta1
import tensorflow as tf

import numpy as np
import os
import time

Download the Shakespeare dataset

Change the following line to run this code on your own data.

path_to_file = tf.keras.utils.get_file('shakespeare.txt', 'https://storage.googleapis.com/download.tensorflow.org/data/shakespeare.txt')
Downloading data from https://storage.googleapis.com/download.tensorflow.org/data/shakespeare.txt
1122304/1115394 [==============================] - 0s 0us/step

Read the data

First, look in the text:

# Read, then decode for py2 compat.
text = open(path_to_file, 'rb').read().decode(encoding='utf-8')
# length of text is the number of characters in it
print ('Length of text: {} characters'.format(len(text)))
Length of text: 1115394 characters
# Take a look at the first 250 characters in text
First Citizen:
Before we proceed any further, hear me speak.

Speak, speak.

First Citizen:
You are all resolved rather to die than to famish?

Resolved. resolved.

First Citizen:
First, you know Caius Marcius is chief enemy to the people.

# The unique characters in the file
vocab = sorted(set(text))
print ('{} unique characters'.format(len(vocab)))
65 unique characters

Process the text

Vectorize the text

Before training, we need to map strings to a numerical representation. Create two lookup tables: one mapping characters to numbers, and another for numbers to characters.

# Creating a mapping from unique characters to indices
char2idx = {u:i for i, u in enumerate(vocab)}
idx2char = np.array(vocab)

text_as_int = np.array([char2idx[c] for c in text])

Now we have an integer representation for each character. Notice that we mapped the character as indexes from 0 to len(unique).

for char,_ in zip(char2idx, range(20)):
    print('  {:4s}: {:3d},'.format(repr(char), char2idx[char]))
print('  ...\n}')
  'X' :  36,
  'i' :  47,
  'Y' :  37,
  'r' :  56,
  '$' :   3,
  'o' :  53,
  'j' :  48,
  'u' :  59,
  'v' :  60,
  'A' :  13,
  'G' :  19,
  'l' :  50,
  'B' :  14,
  'y' :  63,
  'E' :  17,
  ':' :  10,
  '\n':   0,
  'w' :  61,
  'F' :  18,
  'h' :  46,
# Show how the first 13 characters from the text are mapped to integers
print ('{} ---- characters mapped to int ---- > {}'.format(repr(text[:13]), text_as_int[:13]))
'First Citizen' ---- characters mapped to int ---- > [18 47 56 57 58  1 15 47 58 47 64 43 52]

The prediction task

Given a character, or a sequence of characters, what is the most probable next character? This is the task we're training the model to perform. The input to the model will be a sequence of characters, and we train the model to predict the output—the following character at each time step.

Since RNNs maintain an internal state that depends on the previously seen elements, given all the characters computed until this moment, what is the next character?

Create training examples and targets

Next divide the text into example sequences. Each input sequence will contain seq_length characters from the text.

For each input sequence, the corresponding targets contain the same length of text, except shifted one character to the right.

So break the text into chunks of seq_length+1. For example, say seq_length is 4 and our text is "Hello". The input sequence would be "Hell", and the target sequence "ello".

To do this first use the tf.data.Dataset.from_tensor_slices function to convert the text vector into a stream of character indices.

# The maximum length sentence we want for a single input in characters
seq_length = 100
examples_per_epoch = len(text)//seq_length

# Create training examples / targets
char_dataset = tf.data.Dataset.from_tensor_slices(text_as_int)

for i in char_dataset.take(5):

The batch method lets us easily convert these individual characters to sequences of the desired size.

sequences = char_dataset.batch(seq_length+1, drop_remainder=True)

for item in sequences.take(5):
'First Citizen:\nBefore we proceed any further, hear me speak.\n\nAll:\nSpeak, speak.\n\nFirst Citizen:\nYou '
'are all resolved rather to die than to famish?\n\nAll:\nResolved. resolved.\n\nFirst Citizen:\nFirst, you k'
"now Caius Marcius is chief enemy to the people.\n\nAll:\nWe know't, we know't.\n\nFirst Citizen:\nLet us ki"
"ll him, and we'll have corn at our own price.\nIs't a verdict?\n\nAll:\nNo more talking on't; let it be d"
'one: away, away!\n\nSecond Citizen:\nOne word, good citizens.\n\nFirst Citizen:\nWe are accounted poor citi'

For each sequence, duplicate and shift it to form the input and target text by using the map method to apply a simple function to each batch:

def split_input_target(chunk):
    input_text = chunk[:-1]
    target_text = chunk[1:]
    return input_text, target_text

dataset = sequences.map(split_input_target)

Print the first examples input and target values:

for input_example, target_example in  dataset.take(1):
  print ('Input data: ', repr(''.join(idx2char[input_example.numpy()])))
  print ('Target data:', repr(''.join(idx2char[target_example.numpy()])))
Input data:  'First Citizen:\nBefore we proceed any further, hear me speak.\n\nAll:\nSpeak, speak.\n\nFirst Citizen:\nYou'
Target data: 'irst Citizen:\nBefore we proceed any further, hear me speak.\n\nAll:\nSpeak, speak.\n\nFirst Citizen:\nYou '

Each index of these vectors are processed as one time step. For the input at time step 0, the model receives the index for "F" and trys to predict the index for "i" as the next character. At the next timestep, it does the same thing but the RNN considers the previous step context in addition to the current input character.

for i, (input_idx, target_idx) in enumerate(zip(input_example[:5], target_example[:5])):
    print("Step {:4d}".format(i))
    print("  input: {} ({:s})".format(input_idx, repr(idx2char[input_idx])))
    print("  expected output: {} ({:s})".format(target_idx, repr(idx2char[target_idx])))
Step    0
  input: 18 ('F')
  expected output: 47 ('i')
Step    1
  input: 47 ('i')
  expected output: 56 ('r')
Step    2
  input: 56 ('r')
  expected output: 57 ('s')
Step    3
  input: 57 ('s')
  expected output: 58 ('t')
Step    4
  input: 58 ('t')
  expected output: 1 (' ')

Create training batches

We used tf.data to split the text into manageable sequences. But before feeding this data into the model, we need to shuffle the data and pack it into batches.

# Batch size

# Buffer size to shuffle the dataset
# (TF data is designed to work with possibly infinite sequences,
# so it doesn't attempt to shuffle the entire sequence in memory. Instead,
# it maintains a buffer in which it shuffles elements).

dataset = dataset.shuffle(BUFFER_SIZE).batch(BATCH_SIZE, drop_remainder=True)

<BatchDataset shapes: ((64, 100), (64, 100)), types: (tf.int64, tf.int64)>

Build The Model

Use tf.keras.Sequential to define the model. For this simple example three layers are used to define our model:

# Length of the vocabulary in chars
vocab_size = len(vocab)

# The embedding dimension
embedding_dim = 256

# Number of RNN units
rnn_units = 1024
def build_model(vocab_size, embedding_dim, rnn_units, batch_size):
  model = tf.keras.Sequential([
    tf.keras.layers.Embedding(vocab_size, embedding_dim,
                              batch_input_shape=[batch_size, None]),
  return model
model = build_model(
  vocab_size = len(vocab),

For each character the model looks up the embedding, runs the GRU one timestep with the embedding as input, and applies the dense layer to generate logits predicting the log-likelihood of the next character:

A drawing of the data passing through the model

Try the model

Now run the model to see that it behaves as expected.

First check the shape of the output:

for input_example_batch, target_example_batch in dataset.take(1):
  example_batch_predictions = model(input_example_batch)
  print(example_batch_predictions.shape, "# (batch_size, sequence_length, vocab_size)")
(64, 100, 65) # (batch_size, sequence_length, vocab_size)

In the above example the sequence length of the input is 100 but the model can be run on inputs of any length:

Model: "sequential"
Layer (type)                 Output Shape              Param #   
embedding (Embedding)        (64, None, 256)           16640     
lstm (LSTM)                  (64, None, 1024)          5246976   
dense (Dense)                (64, None, 65)            66625     
Total params: 5,330,241
Trainable params: 5,330,241
Non-trainable params: 0

To get actual predictions from the model we need to sample from the output distribution, to get actual character indices. This distribution is defined by the logits over the character vocabulary.

Try it for the first example in the batch:

sampled_indices = tf.random.categorical(example_batch_predictions[0], num_samples=1)
sampled_indices = tf.squeeze(sampled_indices,axis=-1).numpy()

This gives us, at each timestep, a prediction of the next character index:

array([61, 64,  9, 63, 27, 56,  1, 12, 50, 48, 26, 11, 14, 22, 25, 24, 43,
       45, 48,  7, 59, 52, 25, 19, 63, 18, 40, 10, 61, 35, 39, 24, 26, 53,
       64, 64, 32, 23, 27,  9, 12, 58, 46, 49,  5, 23, 18, 58, 40, 11, 16,
       35, 54, 31, 24, 39, 21, 29, 22, 28, 18, 10, 57,  2, 41, 42, 25, 29,
       23, 19, 26, 55, 56,  1, 61, 17, 62, 33, 17, 47, 17, 58, 18, 38, 35,
       17, 31,  4, 19, 39,  9, 50, 47, 33, 15, 28, 24,  4, 26, 58])

Decode these to see the text predicted by this untrained model:

print("Input: \n", repr("".join(idx2char[input_example_batch[0]])))
print("Next Char Predictions: \n", repr("".join(idx2char[sampled_indices ])))
 "ce the earthquake now eleven years;\nAnd she was wean'd,--I never shall forget it,--\nOf all the days "

Next Char Predictions: 
 "wz3yOr ?ljN;BJMLegj-unMGyFb:wWaLNozzTKO3?thk'KFtb;DWpSLaIQJPF:s!cdMQKGNqr wExUEiEtFZWES&Ga3liUCPL&Nt"

Train the model

At this point the problem can be treated as a standard classification problem. Given the previous RNN state, and the input this time step, predict the class of the next character.

Attach an optimizer, and a loss function

The standard tf.keras.losses.sparse_categorical_crossentropy loss function works in this case because it is applied across the last dimension of the predictions.

Because our model returns logits, we need to set the from_logits flag.

def loss(labels, logits):
  return tf.keras.losses.sparse_categorical_crossentropy(labels, logits, from_logits=True)

example_batch_loss  = loss(target_example_batch, example_batch_predictions)
print("Prediction shape: ", example_batch_predictions.shape, " # (batch_size, sequence_length, vocab_size)")
print("scalar_loss:      ", example_batch_loss.numpy().mean())
Prediction shape:  (64, 100, 65)  # (batch_size, sequence_length, vocab_size)
scalar_loss:       4.1740375

Configure the training procedure using the tf.keras.Model.compile method. We'll use tf.keras.optimizers.Adam with default arguments and the loss function.

model.compile(optimizer='adam', loss=loss)

Configure checkpoints

Use a tf.keras.callbacks.ModelCheckpoint to ensure that checkpoints are saved during training:

# Directory where the checkpoints will be saved
checkpoint_dir = './training_checkpoints'
# Name of the checkpoint files
checkpoint_prefix = os.path.join(checkpoint_dir, "ckpt_{epoch}")


Execute the training

To keep training time reasonable, use 10 epochs to train the model. In Colab, set the runtime to GPU for faster training.

history = model.fit(dataset, epochs=EPOCHS, callbacks=[checkpoint_callback])
Epoch 1/10
172/172 [==============================] - 8s 46ms/step - loss: 2.5909
Epoch 2/10
172/172 [==============================] - 7s 40ms/step - loss: 1.8915
Epoch 3/10
172/172 [==============================] - 7s 41ms/step - loss: 1.6430
Epoch 4/10
172/172 [==============================] - 7s 39ms/step - loss: 1.5057
Epoch 5/10
172/172 [==============================] - 7s 39ms/step - loss: 1.4211
Epoch 6/10
172/172 [==============================] - 7s 39ms/step - loss: 1.3591
Epoch 7/10
172/172 [==============================] - 7s 39ms/step - loss: 1.3077
Epoch 8/10
172/172 [==============================] - 7s 40ms/step - loss: 1.2614
Epoch 9/10
172/172 [==============================] - 7s 40ms/step - loss: 1.2171
Epoch 10/10
172/172 [==============================] - 7s 39ms/step - loss: 1.1737

Generate text

Restore the latest checkpoint

To keep this prediction step simple, use a batch size of 1.

Because of the way the RNN state is passed from timestep to timestep, the model only accepts a fixed batch size once built.

To run the model with a different batch_size, we need to rebuild the model and restore the weights from the checkpoint.

model = build_model(vocab_size, embedding_dim, rnn_units, batch_size=1)


model.build(tf.TensorShape([1, None]))
Model: "sequential_1"
Layer (type)                 Output Shape              Param #   
embedding_1 (Embedding)      (1, None, 256)            16640     
lstm_1 (LSTM)                (1, None, 1024)           5246976   
dense_1 (Dense)              (1, None, 65)             66625     
Total params: 5,330,241
Trainable params: 5,330,241
Non-trainable params: 0

The prediction loop

The following code block generates the text:

  • It Starts by choosing a start string, initializing the RNN state and setting the number of characters to generate.

  • Get the prediction distribution of the next character using the start string and the RNN state.

  • Then, use a categorical distribution to calculate the index of the predicted character. Use this predicted character as our next input to the model.

  • The RNN state returned by the model is fed back into the model so that it now has more context, instead than only one word. After predicting the next word, the modified RNN states are again fed back into the model, which is how it learns as it gets more context from the previously predicted words.

To generate text the model's output is fed back to the input

Looking at the generated text, you'll see the model knows when to capitalize, make paragraphs and imitates a Shakespeare-like writing vocabulary. With the small number of training epochs, it has not yet learned to form coherent sentences.

def generate_text(model, start_string):
  # Evaluation step (generating text using the learned model)

  # Number of characters to generate
  num_generate = 1000

  # Converting our start string to numbers (vectorizing)
  input_eval = [char2idx[s] for s in start_string]
  input_eval = tf.expand_dims(input_eval, 0)

  # Empty string to store our results
  text_generated = []

  # Low temperatures results in more predictable text.
  # Higher temperatures results in more surprising text.
  # Experiment to find the best setting.
  temperature = 1.0

  # Here batch size == 1
  for i in range(num_generate):
      predictions = model(input_eval)
      # remove the batch dimension
      predictions = tf.squeeze(predictions, 0)

      # using a categorical distribution to predict the word returned by the model
      predictions = predictions / temperature
      predicted_id = tf.random.categorical(predictions, num_samples=1)[-1,0].numpy()

      # We pass the predicted word as the next input to the model
      # along with the previous hidden state
      input_eval = tf.expand_dims([predicted_id], 0)


  return (start_string + ''.join(text_generated))
print(generate_text(model, start_string=u"ROMEO: "))
ROMEO: vend me die,
That I your fiends are not believed too:
Fear our mercy mouth joys, that the Encouse bed,
Thrans, you would be were back with yore the nothing,
Without his bonds.

O, that we fell,
S dear drught's come, THAMESSE:
Hence, heavens!

In Oxford, kill thou, much reason substatite
Andake' the poor of her eyes king from leave to big threet that far
fear, or extremition with them.

First Servant:
The con is called this fitch dight certre for this
York doth thou shadefully openslual friends: these perfect-face
To pass me with a good destinity;
Nor never proud heart, the grass seal i' the eye,
And make no Romans, yet not nd minK:
It wise, come, trodgen, speak in relord;
For he comes Clarence' is gone, begin his true here patience;
O, so hath two-solte ouchs it mother
Than in thy company this reversion and
The longer man, e'er who beneved your formmer, as I have it dead,
A' the is profes, our generation, leage to not:
He was the duke deceifl to rea

The easiest thing you can do to improve the results it to train it for longer (try EPOCHS=30).

You can also experiment with a different start string, or try adding another RNN layer to improve the model's accuracy, or adjusting the temperature parameter to generate more or less random predictions.

Advanced: Customized Training

The above training procedure is simple, but does not give you much control.

So now that you've seen how to run the model manually let's unpack the training loop, and implement it ourselves. This gives a starting point if, for example, to implement curriculum learning to help stabilize the model's open-loop output.

We will use tf.GradientTape to track the gradients. You can learn more about this approach by reading the eager execution guide.

The procedure works as follows:

  • First, initialize the RNN state. We do this by calling the tf.keras.Model.reset_states method.

  • Next, iterate over the dataset (batch by batch) and calculate the predictions associated with each.

  • Open a tf.GradientTape, and calculate the predictions and loss in that context.

  • Calculate the gradients of the loss with respect to the model variables using the tf.GradientTape.grads method.

  • Finally, take a step downwards by using the optimizer's tf.train.Optimizer.apply_gradients method.

model = build_model(
  vocab_size = len(vocab),
optimizer = tf.keras.optimizers.Adam()
def train_step(inp, target):
  with tf.GradientTape() as tape:
    predictions = model(inp)
    loss = tf.reduce_mean(
            target, predictions, from_logits=True))
  grads = tape.gradient(loss, model.trainable_variables)
  optimizer.apply_gradients(zip(grads, model.trainable_variables))

  return loss
# Training step

for epoch in range(EPOCHS):
  start = time.time()

  # initializing the hidden state at the start of every epoch
  # initally hidden is None
  hidden = model.reset_states()

  for (batch_n, (inp, target)) in enumerate(dataset):
    loss = train_step(inp, target)

    if batch_n % 100 == 0:
      template = 'Epoch {} Batch {} Loss {}'
      print(template.format(epoch+1, batch_n, loss))

  # saving (checkpoint) the model every 5 epochs
  if (epoch + 1) % 5 == 0:

  print ('Epoch {} Loss {:.4f}'.format(epoch+1, loss))
  print ('Time taken for 1 epoch {} sec\n'.format(time.time() - start))

WARNING: Logging before flag parsing goes to stderr.
W0711 02:52:32.027381 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer
W0711 02:52:32.028622 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer.iter
W0711 02:52:32.029642 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer.beta_1
W0711 02:52:32.030770 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer.beta_2
W0711 02:52:32.031696 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer.decay
W0711 02:52:32.032530 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer.learning_rate
W0711 02:52:32.033109 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'm' for (root).layer_with_weights-0.embeddings
W0711 02:52:32.033605 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'm' for (root).layer_with_weights-2.kernel
W0711 02:52:32.034740 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'm' for (root).layer_with_weights-2.bias
W0711 02:52:32.035699 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'm' for (root).layer_with_weights-1.cell.kernel
W0711 02:52:32.036309 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'm' for (root).layer_with_weights-1.cell.recurrent_kernel
W0711 02:52:32.036845 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'm' for (root).layer_with_weights-1.cell.bias
W0711 02:52:32.037351 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'v' for (root).layer_with_weights-0.embeddings
W0711 02:52:32.037847 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'v' for (root).layer_with_weights-2.kernel
W0711 02:52:32.038431 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'v' for (root).layer_with_weights-2.bias
W0711 02:52:32.039076 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'v' for (root).layer_with_weights-1.cell.kernel
W0711 02:52:32.039675 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'v' for (root).layer_with_weights-1.cell.recurrent_kernel
W0711 02:52:32.040273 140346967226112 util.py:244] Unresolved object in checkpoint: (root).optimizer's state 'v' for (root).layer_with_weights-1.cell.bias
W0711 02:52:32.040812 140346967226112 util.py:252] A checkpoint was restored (e.g. tf.train.Checkpoint.restore or tf.keras.Model.load_weights) but not all checkpointed values were used. See above for specific issues. Use expect_partial() on the load status object, e.g. tf.train.Checkpoint.restore(...).expect_partial(), to silence these warnings, or use assert_consumed() to make the check explicit. See https://www.tensorflow.org/alpha/guide/checkpoints#loading_mechanics for details.

Epoch 1 Batch 0 Loss 4.174699306488037
Epoch 1 Batch 100 Loss 2.333345890045166
Epoch 1 Loss 2.1393
Time taken for 1 epoch 9.043232679367065 sec

Epoch 2 Batch 0 Loss 2.170747995376587
Epoch 2 Batch 100 Loss 1.8737974166870117
Epoch 2 Loss 1.7977
Time taken for 1 epoch 6.3676910400390625 sec

Epoch 3 Batch 0 Loss 1.6878454685211182
Epoch 3 Batch 100 Loss 1.6373414993286133
Epoch 3 Loss 1.6188
Time taken for 1 epoch 6.33354115486145 sec

Epoch 4 Batch 0 Loss 1.5183608531951904
Epoch 4 Batch 100 Loss 1.5071923732757568
Epoch 4 Loss 1.5104
Time taken for 1 epoch 6.215446472167969 sec

Epoch 5 Batch 0 Loss 1.4184167385101318
Epoch 5 Batch 100 Loss 1.4265903234481812
Epoch 5 Loss 1.4379
Time taken for 1 epoch 6.28309440612793 sec

Epoch 6 Batch 0 Loss 1.3484241962432861
Epoch 6 Batch 100 Loss 1.3697052001953125
Epoch 6 Loss 1.3760
Time taken for 1 epoch 6.283656597137451 sec

Epoch 7 Batch 0 Loss 1.2933669090270996
Epoch 7 Batch 100 Loss 1.3211030960083008
Epoch 7 Loss 1.3210
Time taken for 1 epoch 6.146169424057007 sec

Epoch 8 Batch 0 Loss 1.2436736822128296
Epoch 8 Batch 100 Loss 1.2792930603027344
Epoch 8 Loss 1.2719
Time taken for 1 epoch 6.354868650436401 sec

Epoch 9 Batch 0 Loss 1.1980918645858765
Epoch 9 Batch 100 Loss 1.2407312393188477
Epoch 9 Loss 1.2255
Time taken for 1 epoch 6.278747797012329 sec

Epoch 10 Batch 0 Loss 1.1543728113174438
Epoch 10 Batch 100 Loss 1.194383144378662
Epoch 10 Loss 1.1759
Time taken for 1 epoch 7.029285907745361 sec