transformer.py 21.2 KB
Newer Older
Frederick Liu's avatar
Frederick Liu committed
1
# Copyright 2021 The TensorFlow Authors. All Rights Reserved.
2
3
4
5
6
7
8
9
10
11
12
13
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
Frederick Liu's avatar
Frederick Liu committed
14

15
16
17
18
19
20
21
"""Defines the Transformer model in TF 2.0.

Model paper: https://arxiv.org/pdf/1706.03762.pdf
Transformer model code source: https://github.com/tensorflow/tensor2tensor
"""

import tensorflow as tf
22
from official.nlp.modeling.layers import position_embedding
23
from official.nlp.modeling.ops import beam_search
24
25
26
27
from official.nlp.transformer import attention_layer
from official.nlp.transformer import embedding_layer
from official.nlp.transformer import ffn_layer
from official.nlp.transformer import metrics
28
from official.nlp.transformer import model_utils
29
from official.nlp.transformer.utils.tokenizer import EOS_ID
30

Reed's avatar
Reed committed
31
32
33
34
35
# Disable the not-callable lint error, since it claims many objects are not
# callable when they actually are.
# pylint: disable=not-callable


36
37
38
39
40
41
42
43
44
45
def create_model(params, is_train):
  """Creates transformer model."""
  with tf.name_scope("model"):
    if is_train:
      inputs = tf.keras.layers.Input((None,), dtype="int64", name="inputs")
      targets = tf.keras.layers.Input((None,), dtype="int64", name="targets")
      internal_model = Transformer(params, name="transformer_v2")
      logits = internal_model([inputs, targets], training=is_train)
      vocab_size = params["vocab_size"]
      label_smoothing = params["label_smoothing"]
46
47
      if params["enable_metrics_in_training"]:
        logits = metrics.MetricLayer(vocab_size)([logits, targets])
Hongkun Yu's avatar
Hongkun Yu committed
48
49
50
      logits = tf.keras.layers.Lambda(
          lambda x: x, name="logits", dtype=tf.float32)(
              logits)
guptapriya's avatar
guptapriya committed
51
      model = tf.keras.Model([inputs, targets], logits)
Hongkun Yu's avatar
Hongkun Yu committed
52
53
      loss = metrics.transformer_loss(logits, targets, label_smoothing,
                                      vocab_size)
guptapriya's avatar
guptapriya committed
54
55
      model.add_loss(loss)
      return model
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85

    else:
      inputs = tf.keras.layers.Input((None,), dtype="int64", name="inputs")
      internal_model = Transformer(params, name="transformer_v2")
      ret = internal_model([inputs], training=is_train)
      outputs, scores = ret["outputs"], ret["scores"]
      return tf.keras.Model(inputs, [outputs, scores])


class Transformer(tf.keras.Model):
  """Transformer model with Keras.

  Implemented as described in: https://arxiv.org/pdf/1706.03762.pdf

  The Transformer model consists of an encoder and decoder. The input is an int
  sequence (or a batch of sequences). The encoder produces a continuous
  representation, and the decoder uses the encoder output to generate
  probabilities for the output sequence.
  """

  def __init__(self, params, name=None):
    """Initialize layers to build Transformer model.

    Args:
      params: hyperparameter object defining layer sizes, dropout values, etc.
      name: name of the model.
    """
    super(Transformer, self).__init__(name=name)
    self.params = params
    self.embedding_softmax_layer = embedding_layer.EmbeddingSharedWeights(
86
        params["vocab_size"], params["hidden_size"])
87
88
    self.encoder_stack = EncoderStack(params)
    self.decoder_stack = DecoderStack(params)
89
90
    self.position_embedding = position_embedding.RelativePositionEmbedding(
        hidden_size=self.params["hidden_size"])
91
92
93
94
95
96

  def get_config(self):
    return {
        "params": self.params,
    }

97
  def call(self, inputs, training):
98
99
100
    """Calculate target logits or inferred target sequences.

    Args:
101
      inputs: input tensor list of size 1 or 2.
102
103
104
105
106
107
108
109
110
111
        First item, inputs: int tensor with shape [batch_size, input_length].
        Second item (optional), targets: None or int tensor with shape
          [batch_size, target_length].
      training: boolean, whether in training mode or not.

    Returns:
      If targets is defined, then return logits for each word in the target
      sequence. float tensor with shape [batch_size, target_length, vocab_size]
      If target is none, then generate output sequence one token at a time.
        returns a dictionary {
112
113
          outputs: int tensor with shape [batch_size, decoded_length]
          scores: float tensor with shape [batch_size]}
114
      Even when float16 is used, the output tensor(s) are always float32.
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
115
116
117

    Raises:
      NotImplementedError: If try to use padded decode method on CPU/GPUs.
118
    """
119
    inputs = inputs if isinstance(inputs, list) else [inputs]
120
121
    if len(inputs) == 2:
      inputs, targets = inputs[0], inputs[1]
122
    else:
123
      # Decoding path.
124
      inputs, targets = inputs[0], None
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
125
126
127
128
129
130
      if self.params["padded_decode"]:
        if not self.params["num_replicas"]:
          raise NotImplementedError(
              "Padded decoding on CPU/GPUs is not supported.")
        decode_batch_size = int(self.params["decode_batch_size"] /
                                self.params["num_replicas"])
Hongkun Yu's avatar
Hongkun Yu committed
131
        inputs.set_shape([decode_batch_size, self.params["decode_max_length"]])
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165

    # Variance scaling is used here because it seems to work in many problems.
    # Other reasonable initializers may also work just as well.
    with tf.name_scope("Transformer"):
      # Calculate attention bias for encoder self-attention and decoder
      # multi-headed attention layers.
      attention_bias = model_utils.get_padding_bias(inputs)

      # Run the inputs through the encoder layer to map the symbol
      # representations to continuous representations.
      encoder_outputs = self.encode(inputs, attention_bias, training)
      # Generate output sequence if targets is None, or return logits if target
      # sequence is known.
      if targets is None:
        return self.predict(encoder_outputs, attention_bias, training)
      else:
        logits = self.decode(targets, encoder_outputs, attention_bias, training)
        return logits

  def encode(self, inputs, attention_bias, training):
    """Generate continuous representation for inputs.

    Args:
      inputs: int tensor with shape [batch_size, input_length].
      attention_bias: float tensor with shape [batch_size, 1, 1, input_length].
      training: boolean, whether in training mode or not.

    Returns:
      float tensor with shape [batch_size, input_length, hidden_size]
    """
    with tf.name_scope("encode"):
      # Prepare inputs to the layer stack by adding positional encodings and
      # applying dropout.
      embedded_inputs = self.embedding_softmax_layer(inputs)
166
      embedded_inputs = tf.cast(embedded_inputs, self.params["dtype"])
167
      inputs_padding = model_utils.get_padding(inputs)
168
      attention_bias = tf.cast(attention_bias, self.params["dtype"])
169
170

      with tf.name_scope("add_pos_encoding"):
171
        pos_encoding = self.position_embedding(inputs=embedded_inputs)
172
        pos_encoding = tf.cast(pos_encoding, self.params["dtype"])
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
        encoder_inputs = embedded_inputs + pos_encoding

      if training:
        encoder_inputs = tf.nn.dropout(
            encoder_inputs, rate=self.params["layer_postprocess_dropout"])

      return self.encoder_stack(
          encoder_inputs, attention_bias, inputs_padding, training=training)

  def decode(self, targets, encoder_outputs, attention_bias, training):
    """Generate logits for each value in the target sequence.

    Args:
      targets: target values for the output sequence. int tensor with shape
        [batch_size, target_length]
      encoder_outputs: continuous representation of input sequence. float tensor
        with shape [batch_size, input_length, hidden_size]
      attention_bias: float tensor with shape [batch_size, 1, 1, input_length]
      training: boolean, whether in training mode or not.

    Returns:
      float32 tensor with shape [batch_size, target_length, vocab_size]
    """
    with tf.name_scope("decode"):
      # Prepare inputs to decoder layers by shifting targets, adding positional
      # encoding and applying dropout.
Frederick Liu's avatar
Frederick Liu committed
199
200
201
      with tf.name_scope("shift_targets"):
        # Shift targets to the right, and remove the last element
        targets = tf.pad(targets, [[0, 0], [1, 0]])[:, :-1]
202
      decoder_inputs = self.embedding_softmax_layer(targets)
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
203
      decoder_inputs = tf.cast(decoder_inputs, self.params["dtype"])
204
      attention_bias = tf.cast(attention_bias, self.params["dtype"])
205
206
      with tf.name_scope("add_pos_encoding"):
        length = tf.shape(decoder_inputs)[1]
207
        pos_encoding = self.position_embedding(decoder_inputs)
208
209
        pos_encoding = tf.cast(pos_encoding, self.params["dtype"])
        decoder_inputs += pos_encoding
210
211
212
213
214
215
      if training:
        decoder_inputs = tf.nn.dropout(
            decoder_inputs, rate=self.params["layer_postprocess_dropout"])

      # Run values
      decoder_self_attention_bias = model_utils.get_decoder_self_attention_bias(
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
216
          length, dtype=self.params["dtype"])
217
218
219
220
221
222
223
      outputs = self.decoder_stack(
          decoder_inputs,
          encoder_outputs,
          decoder_self_attention_bias,
          attention_bias,
          training=training)
      logits = self.embedding_softmax_layer(outputs, mode="linear")
224
      logits = tf.cast(logits, tf.float32)
225
226
227
228
      return logits

  def _get_symbols_to_logits_fn(self, max_decode_length, training):
    """Returns a decoding function that calculates logits of the next tokens."""
229
230
    timing_signal = self.position_embedding(
        inputs=None, length=max_decode_length + 1)
Reed's avatar
Reed committed
231
    timing_signal = tf.cast(timing_signal, self.params["dtype"])
232
    decoder_self_attention_bias = model_utils.get_decoder_self_attention_bias(
Reed's avatar
Reed committed
233
        max_decode_length, dtype=self.params["dtype"])
234
235
236
237
238
239

    def symbols_to_logits_fn(ids, i, cache):
      """Generate logits for next potential IDs.

      Args:
        ids: Current decoded sequences. int tensor with shape [batch_size *
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
240
241
          beam_size, i + 1].
        i: Loop index.
242
243
244
245
246
247
248
249
250
251
252
253
254
        cache: dictionary of values storing the encoder output, encoder-decoder
          attention bias, and previous decoder attention values.

      Returns:
        Tuple of
          (logits with shape [batch_size * beam_size, vocab_size],
           updated cache values)
      """
      # Set decoder input to the last generated IDs
      decoder_input = ids[:, -1:]

      # Preprocess decoder input by getting embeddings and adding timing signal.
      decoder_input = self.embedding_softmax_layer(decoder_input)
Hongkun Yu's avatar
Hongkun Yu committed
255
      decoder_input += timing_signal[i]
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
256
257
258
259
260
261
262
263
      if self.params["padded_decode"]:
        bias_shape = decoder_self_attention_bias.shape.as_list()
        self_attention_bias = tf.slice(
            decoder_self_attention_bias, [0, 0, i, 0],
            [bias_shape[0], bias_shape[1], 1, bias_shape[3]])
      else:
        self_attention_bias = decoder_self_attention_bias[:, :, i:i + 1, :i + 1]

264
265
266
267
268
269
      decoder_outputs = self.decoder_stack(
          decoder_input,
          cache.get("encoder_outputs"),
          self_attention_bias,
          cache.get("encoder_decoder_attention_bias"),
          training=training,
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
270
271
          cache=cache,
          decode_loop_step=i if self.params["padded_decode"] else None)
272
273
274
275
276
277
278
279
      logits = self.embedding_softmax_layer(decoder_outputs, mode="linear")
      logits = tf.squeeze(logits, axis=[1])
      return logits, cache

    return symbols_to_logits_fn

  def predict(self, encoder_outputs, encoder_decoder_attention_bias, training):
    """Return predicted sequence."""
280
    encoder_outputs = tf.cast(encoder_outputs, self.params["dtype"])
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
281
282
283
284
285
286
    if self.params["padded_decode"]:
      batch_size = encoder_outputs.shape.as_list()[0]
      input_length = encoder_outputs.shape.as_list()[1]
    else:
      batch_size = tf.shape(encoder_outputs)[0]
      input_length = tf.shape(encoder_outputs)[1]
287
    max_decode_length = input_length + self.params["extra_decode_length"]
Reed's avatar
Reed committed
288
289
    encoder_decoder_attention_bias = tf.cast(encoder_decoder_attention_bias,
                                             self.params["dtype"])
290
291
292
293
294
295
296
297
298

    symbols_to_logits_fn = self._get_symbols_to_logits_fn(
        max_decode_length, training)

    # Create initial set of IDs that will be passed into symbols_to_logits_fn.
    initial_ids = tf.zeros([batch_size], dtype=tf.int32)

    # Create cache storing decoder attention values for each layer.
    # pylint: disable=g-complex-comprehension
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
299
300
    init_decode_length = (
        max_decode_length if self.params["padded_decode"] else 0)
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
301
302
    num_heads = self.params["num_heads"]
    dim_per_head = self.params["hidden_size"] // num_heads
303
304
    cache = {
        "layer_%d" % layer: {
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
305
            "k":
Hongkun Yu's avatar
Hongkun Yu committed
306
307
308
                tf.zeros(
                    [batch_size, init_decode_length, num_heads, dim_per_head],
                    dtype=self.params["dtype"]),
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
309
            "v":
Hongkun Yu's avatar
Hongkun Yu committed
310
311
312
                tf.zeros(
                    [batch_size, init_decode_length, num_heads, dim_per_head],
                    dtype=self.params["dtype"])
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
        } for layer in range(self.params["num_hidden_layers"])
    }
    # pylint: enable=g-complex-comprehension

    # Add encoder output and attention bias to the cache.
    cache["encoder_outputs"] = encoder_outputs
    cache["encoder_decoder_attention_bias"] = encoder_decoder_attention_bias

    # Use beam search to find the top beam_size sequences and scores.
    decoded_ids, scores = beam_search.sequence_beam_search(
        symbols_to_logits_fn=symbols_to_logits_fn,
        initial_ids=initial_ids,
        initial_cache=cache,
        vocab_size=self.params["vocab_size"],
        beam_size=self.params["beam_size"],
        alpha=self.params["alpha"],
        max_decode_length=max_decode_length,
Reed's avatar
Reed committed
330
        eos_id=EOS_ID,
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
331
        padded_decode=self.params["padded_decode"],
Reed's avatar
Reed committed
332
        dtype=self.params["dtype"])
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351

    # Get the top sequence for each batch element
    top_decoded_ids = decoded_ids[:, 0, 1:]
    top_scores = scores[:, 0]

    return {"outputs": top_decoded_ids, "scores": top_scores}


class PrePostProcessingWrapper(tf.keras.layers.Layer):
  """Wrapper class that applies layer pre-processing and post-processing."""

  def __init__(self, layer, params):
    super(PrePostProcessingWrapper, self).__init__()
    self.layer = layer
    self.params = params
    self.postprocess_dropout = params["layer_postprocess_dropout"]

  def build(self, input_shape):
    # Create normalization layer
Hongkun Yu's avatar
Hongkun Yu committed
352
353
    self.layer_norm = tf.keras.layers.LayerNormalization(
        epsilon=1e-6, dtype="float32")
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
    super(PrePostProcessingWrapper, self).build(input_shape)

  def get_config(self):
    return {
        "params": self.params,
    }

  def call(self, x, *args, **kwargs):
    """Calls wrapped layer with same parameters."""
    # Preprocessing: apply layer normalization
    training = kwargs["training"]

    y = self.layer_norm(x)

    # Get layer output
    y = self.layer(y, *args, **kwargs)

    # Postprocessing: apply dropout and residual connection
    if training:
      y = tf.nn.dropout(y, rate=self.postprocess_dropout)
    return x + y


class EncoderStack(tf.keras.layers.Layer):
  """Transformer encoder stack.

  The encoder stack is made up of N identical layers. Each layer is composed
  of the sublayers:
    1. Self-attention layer
    2. Feedforward network (which is 2 fully-connected layers)
  """

  def __init__(self, params):
    super(EncoderStack, self).__init__()
    self.params = params
    self.layers = []

  def build(self, input_shape):
    """Builds the encoder stack."""
    params = self.params
    for _ in range(params["num_hidden_layers"]):
      # Create sublayers for each layer.
      self_attention_layer = attention_layer.SelfAttention(
          params["hidden_size"], params["num_heads"],
          params["attention_dropout"])
      feed_forward_network = ffn_layer.FeedForwardNetwork(
          params["hidden_size"], params["filter_size"], params["relu_dropout"])

      self.layers.append([
          PrePostProcessingWrapper(self_attention_layer, params),
          PrePostProcessingWrapper(feed_forward_network, params)
      ])

    # Create final layer normalization layer.
Hongkun Yu's avatar
Hongkun Yu committed
408
409
    self.output_normalization = tf.keras.layers.LayerNormalization(
        epsilon=1e-6, dtype="float32")
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
    super(EncoderStack, self).build(input_shape)

  def get_config(self):
    return {
        "params": self.params,
    }

  def call(self, encoder_inputs, attention_bias, inputs_padding, training):
    """Return the output of the encoder layer stacks.

    Args:
      encoder_inputs: tensor with shape [batch_size, input_length, hidden_size]
      attention_bias: bias for the encoder self-attention layer. [batch_size, 1,
        1, input_length]
      inputs_padding: tensor with shape [batch_size, input_length], inputs with
        zero paddings.
      training: boolean, whether in training mode or not.

    Returns:
      Output of encoder layer stack.
      float32 tensor with shape [batch_size, input_length, hidden_size]
    """
    for n, layer in enumerate(self.layers):
      # Run inputs through the sublayers.
      self_attention_layer = layer[0]
      feed_forward_network = layer[1]

      with tf.name_scope("layer_%d" % n):
        with tf.name_scope("self_attention"):
          encoder_inputs = self_attention_layer(
              encoder_inputs, attention_bias, training=training)
        with tf.name_scope("ffn"):
          encoder_inputs = feed_forward_network(
              encoder_inputs, training=training)

    return self.output_normalization(encoder_inputs)


class DecoderStack(tf.keras.layers.Layer):
  """Transformer decoder stack.

  Like the encoder stack, the decoder stack is made up of N identical layers.
  Each layer is composed of the sublayers:
    1. Self-attention layer
    2. Multi-headed attention layer combining encoder outputs with results from
       the previous self-attention layer.
    3. Feedforward network (2 fully-connected layers)
  """

  def __init__(self, params):
    super(DecoderStack, self).__init__()
    self.params = params
    self.layers = []

  def build(self, input_shape):
    """Builds the decoder stack."""
    params = self.params
    for _ in range(params["num_hidden_layers"]):
      self_attention_layer = attention_layer.SelfAttention(
          params["hidden_size"], params["num_heads"],
          params["attention_dropout"])
      enc_dec_attention_layer = attention_layer.Attention(
          params["hidden_size"], params["num_heads"],
          params["attention_dropout"])
      feed_forward_network = ffn_layer.FeedForwardNetwork(
          params["hidden_size"], params["filter_size"], params["relu_dropout"])

      self.layers.append([
          PrePostProcessingWrapper(self_attention_layer, params),
          PrePostProcessingWrapper(enc_dec_attention_layer, params),
          PrePostProcessingWrapper(feed_forward_network, params)
      ])
Hongkun Yu's avatar
Hongkun Yu committed
482
483
    self.output_normalization = tf.keras.layers.LayerNormalization(
        epsilon=1e-6, dtype="float32")
484
485
486
487
488
489
490
491
492
493
494
495
496
    super(DecoderStack, self).build(input_shape)

  def get_config(self):
    return {
        "params": self.params,
    }

  def call(self,
           decoder_inputs,
           encoder_outputs,
           decoder_self_attention_bias,
           attention_bias,
           training,
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
497
498
           cache=None,
           decode_loop_step=None):
499
500
501
    """Return the output of the decoder layer stacks.

    Args:
Hongkun Yu's avatar
Hongkun Yu committed
502
503
504
505
506
507
508
509
      decoder_inputs: A tensor with shape [batch_size, target_length,
        hidden_size].
      encoder_outputs: A tensor with shape [batch_size, input_length,
        hidden_size]
      decoder_self_attention_bias: A tensor with shape [1, 1, target_len,
        target_length], the bias for decoder self-attention layer.
      attention_bias: A tensor with shape [batch_size, 1, 1, input_length], the
        bias for encoder-decoder attention layer.
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
510
      training: A bool, whether in training mode or not.
511
512
      cache: (Used for fast decoding) A nested dictionary storing previous
        decoder self-attention values. The items are:
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
513
514
          {layer_n: {"k": A tensor with shape [batch_size, i, key_channels],
                     "v": A tensor with shape [batch_size, i, value_channels]},
515
                       ...}
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
516
517
      decode_loop_step: An integer, the step number of the decoding loop. Used
        only for autoregressive inference on TPU.
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536

    Returns:
      Output of decoder layer stack.
      float32 tensor with shape [batch_size, target_length, hidden_size]
    """
    for n, layer in enumerate(self.layers):
      self_attention_layer = layer[0]
      enc_dec_attention_layer = layer[1]
      feed_forward_network = layer[2]

      # Run inputs through the sublayers.
      layer_name = "layer_%d" % n
      layer_cache = cache[layer_name] if cache is not None else None
      with tf.name_scope(layer_name):
        with tf.name_scope("self_attention"):
          decoder_inputs = self_attention_layer(
              decoder_inputs,
              decoder_self_attention_bias,
              training=training,
A. Unique TensorFlower's avatar
A. Unique TensorFlower committed
537
538
              cache=layer_cache,
              decode_loop_step=decode_loop_step)
539
540
541
542
543
544
545
546
547
548
549
        with tf.name_scope("encdec_attention"):
          decoder_inputs = enc_dec_attention_layer(
              decoder_inputs,
              encoder_outputs,
              attention_bias,
              training=training)
        with tf.name_scope("ffn"):
          decoder_inputs = feed_forward_network(
              decoder_inputs, training=training)

    return self.output_normalization(decoder_inputs)