# Copyright 2018 The TensorFlow Authors. All Rights Reserved. # # 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. # ============================================================================== # pylint: disable=protected-access """Utilities related to loss functions.""" from tensorflow.python.distribute import distribute_lib from tensorflow.python.framework import ops from tensorflow.python.framework import tensor_conversion from tensorflow.python.keras import backend from tensorflow.python.keras.engine import keras_tensor from tensorflow.python.ops import array_ops from tensorflow.python.ops import cond from tensorflow.python.ops import math_ops from tensorflow.python.ops.ragged import ragged_tensor class ReductionV2(object): """Types of loss reduction. Contains the following values: * `AUTO`: Indicates that the reduction option will be determined by the usage context. For almost all cases this defaults to `SUM_OVER_BATCH_SIZE`. When used with `tf.distribute.Strategy`, outside of built-in training loops such as `tf.keras` `compile` and `fit`, we expect reduction value to be `SUM` or `NONE`. Using `AUTO` in that case will raise an error. * `NONE`: No **additional** reduction is applied to the output of the wrapped loss function. When non-scalar losses are returned to Keras functions like `fit`/`evaluate`, the unreduced vector loss is passed to the optimizer but the reported loss will be a scalar value. Caution: **Verify the shape of the outputs when using** `Reduction.NONE`. The builtin loss functions wrapped by the loss classes reduce one dimension (`axis=-1`, or `axis` if specified by loss function). `Reduction.NONE` just means that no **additional** reduction is applied by the class wrapper. For categorical losses with an example input shape of `[batch, W, H, n_classes]` the `n_classes` dimension is reduced. For pointwise losses your must include a dummy axis so that `[batch, W, H, 1]` is reduced to `[batch, W, H]`. Without the dummy axis `[batch, W, H]` will be incorrectly reduced to `[batch, W]`. * `SUM`: Scalar sum of weighted losses. * `SUM_OVER_BATCH_SIZE`: Scalar `SUM` divided by number of elements in losses. This reduction type is not supported when used with `tf.distribute.Strategy` outside of built-in training loops like `tf.keras` `compile`/`fit`. You can implement 'SUM_OVER_BATCH_SIZE' using global batch size like: ``` with strategy.scope(): loss_obj = tf.keras.losses.CategoricalCrossentropy( reduction=tf.keras.losses.Reduction.NONE) .... loss = tf.reduce_sum(loss_obj(labels, predictions)) * (1. / global_batch_size) ``` Please see the [custom training guide]( https://www.tensorflow.org/tutorials/distribute/custom_training) for more details on this. """ AUTO = 'auto' NONE = 'none' SUM = 'sum' SUM_OVER_BATCH_SIZE = 'sum_over_batch_size' @classmethod def all(cls): return (cls.AUTO, cls.NONE, cls.SUM, cls.SUM_OVER_BATCH_SIZE) @classmethod def validate(cls, key): if key not in cls.all(): raise ValueError('Invalid Reduction Key %s.' % key) def remove_squeezable_dimensions( labels, predictions, expected_rank_diff=0, name=None): """Squeeze last dim if ranks differ from expected by exactly 1. In the common case where we expect shapes to match, `expected_rank_diff` defaults to 0, and we squeeze the last dimension of the larger rank if they differ by 1. But, for example, if `labels` contains class IDs and `predictions` contains 1 probability per class, we expect `predictions` to have 1 more dimension than `labels`, so `expected_rank_diff` would be 1. In this case, we'd squeeze `labels` if `rank(predictions) - rank(labels) == 0`, and `predictions` if `rank(predictions) - rank(labels) == 2`. This will use static shape if available. Otherwise, it will add graph operations, which could result in a performance hit. Args: labels: Label values, a `Tensor` whose dimensions match `predictions`. predictions: Predicted values, a `Tensor` of arbitrary dimensions. expected_rank_diff: Expected result of `rank(predictions) - rank(labels)`. name: Name of the op. Returns: Tuple of `labels` and `predictions`, possibly with last dim squeezed. """ with backend.name_scope(name or 'remove_squeezable_dimensions'): if not isinstance(predictions, ragged_tensor.RaggedTensor): predictions = tensor_conversion.convert_to_tensor_v2_with_dispatch( predictions ) if not isinstance(labels, ragged_tensor.RaggedTensor): labels = tensor_conversion.convert_to_tensor_v2_with_dispatch(labels) predictions_shape = predictions.shape predictions_rank = predictions_shape.ndims labels_shape = labels.shape labels_rank = labels_shape.ndims if (labels_rank is not None) and (predictions_rank is not None): # Use static rank. rank_diff = predictions_rank - labels_rank if (rank_diff == expected_rank_diff + 1 and predictions_shape.dims[-1].is_compatible_with(1)): predictions = array_ops.squeeze(predictions, [-1]) elif (rank_diff == expected_rank_diff - 1 and labels_shape.dims[-1].is_compatible_with(1)): labels = array_ops.squeeze(labels, [-1]) return labels, predictions # Use dynamic rank. rank_diff = array_ops.rank(predictions) - array_ops.rank(labels) if (predictions_rank is None) or ( predictions_shape.dims[-1].is_compatible_with(1)): predictions = cond.cond( math_ops.equal(expected_rank_diff + 1, rank_diff), lambda: array_ops.squeeze(predictions, [-1]), lambda: predictions) if (labels_rank is None) or ( labels_shape.dims[-1].is_compatible_with(1)): labels = cond.cond( math_ops.equal(expected_rank_diff - 1, rank_diff), lambda: array_ops.squeeze(labels, [-1]), lambda: labels) return labels, predictions def squeeze_or_expand_dimensions(y_pred, y_true=None, sample_weight=None): """Squeeze or expand last dimension if needed. 1. Squeezes last dim of `y_pred` or `y_true` if their rank differs by 1 (using `remove_squeezable_dimensions`). 2. Squeezes or expands last dim of `sample_weight` if its rank differs by 1 from the new rank of `y_pred`. If `sample_weight` is scalar, it is kept scalar. This will use static shape if available. Otherwise, it will add graph operations, which could result in a performance hit. Args: y_pred: Predicted values, a `Tensor` of arbitrary dimensions. y_true: Optional label `Tensor` whose dimensions match `y_pred`. sample_weight: Optional weight scalar or `Tensor` whose dimensions match `y_pred`. Returns: Tuple of `y_pred`, `y_true` and `sample_weight`. Each of them possibly has the last dimension squeezed, `sample_weight` could be extended by one dimension. If `sample_weight` is None, (y_pred, y_true) is returned. """ y_pred_shape = y_pred.shape y_pred_rank = y_pred_shape.ndims if y_true is not None: # If sparse matrix is provided as `y_true`, the last dimension in `y_pred` # may be > 1. Eg: y_true = [0, 1, 2] (shape=(3,)), # y_pred = [[.9, .05, .05], [.5, .89, .6], [.05, .01, .94]] (shape=(3, 3)) # In this case, we should not try to remove squeezable dimension. y_true_shape = y_true.shape y_true_rank = y_true_shape.ndims if (y_true_rank is not None) and (y_pred_rank is not None): # Use static rank for `y_true` and `y_pred`. if (y_pred_rank - y_true_rank != 1) or y_pred_shape[-1] == 1: y_true, y_pred = remove_squeezable_dimensions( y_true, y_pred) else: # Use dynamic rank. rank_diff = array_ops.rank(y_pred) - array_ops.rank(y_true) squeeze_dims = lambda: remove_squeezable_dimensions( # pylint: disable=g-long-lambda y_true, y_pred) is_last_dim_1 = math_ops.equal(1, array_ops.shape(y_pred)[-1]) maybe_squeeze_dims = lambda: cond.cond( # pylint: disable=g-long-lambda is_last_dim_1, squeeze_dims, lambda: (y_true, y_pred)) y_true, y_pred = cond.cond( math_ops.equal(1, rank_diff), maybe_squeeze_dims, squeeze_dims) if sample_weight is None: return y_pred, y_true weights_shape = sample_weight.shape weights_rank = weights_shape.ndims if weights_rank == 0: # If weights is scalar, do nothing. return y_pred, y_true, sample_weight if (y_pred_rank is not None) and (weights_rank is not None): # Use static rank. if weights_rank - y_pred_rank == 1: sample_weight = array_ops.squeeze(sample_weight, [-1]) elif y_pred_rank - weights_rank == 1: sample_weight = array_ops.expand_dims(sample_weight, [-1]) return y_pred, y_true, sample_weight # Use dynamic rank. weights_rank_tensor = array_ops.rank(sample_weight) rank_diff = weights_rank_tensor - array_ops.rank(y_pred) maybe_squeeze_weights = lambda: array_ops.squeeze(sample_weight, [-1]) def _maybe_expand_weights(): expand_weights = lambda: array_ops.expand_dims(sample_weight, [-1]) return cond.cond( math_ops.equal(rank_diff, -1), expand_weights, lambda: sample_weight) def _maybe_adjust_weights(): return cond.cond( math_ops.equal(rank_diff, 1), maybe_squeeze_weights, _maybe_expand_weights) # squeeze or expand last dim of `sample_weight` if its rank differs by 1 # from the new rank of `y_pred`. sample_weight = cond.cond( math_ops.equal(weights_rank_tensor, 0), lambda: sample_weight, _maybe_adjust_weights) return y_pred, y_true, sample_weight def _safe_mean(losses, num_present): """Computes a safe mean of the losses. Args: losses: `Tensor` whose elements contain individual loss measurements. num_present: The number of measurable elements in `losses`. Returns: A scalar representing the mean of `losses`. If `num_present` is zero, then zero is returned. """ total_loss = math_ops.reduce_sum(losses) return math_ops.div_no_nan(total_loss, num_present, name='value') def _num_elements(losses): """Computes the number of elements in `losses` tensor.""" with backend.name_scope('num_elements') as scope: return math_ops.cast(array_ops.size(losses, name=scope), dtype=losses.dtype) def reduce_weighted_loss(weighted_losses, reduction=ReductionV2.SUM_OVER_BATCH_SIZE): """Reduces the individual weighted loss measurements.""" if reduction == ReductionV2.NONE: loss = weighted_losses else: loss = math_ops.reduce_sum(weighted_losses) if reduction == ReductionV2.SUM_OVER_BATCH_SIZE: loss = _safe_mean(loss, _num_elements(weighted_losses)) return loss def compute_weighted_loss(losses, sample_weight=None, reduction=ReductionV2.SUM_OVER_BATCH_SIZE, name=None): """Computes the weighted loss. Args: losses: `Tensor` of shape `[batch_size, d1, ... dN]`. sample_weight: Optional `Tensor` whose rank is either 0, or the same rank as `losses`, or be broadcastable to `losses`. reduction: (Optional) Type of `tf.keras.losses.Reduction` to apply to loss. Default value is `SUM_OVER_BATCH_SIZE`. name: Optional name for the op. Raises: ValueError: If the shape of `sample_weight` is not compatible with `losses`. Returns: Weighted loss `Tensor` of the same type as `losses`. If `reduction` is `NONE`, this has the same shape as `losses`; otherwise, it is scalar. """ ReductionV2.validate(reduction) # If this function is called directly, then we just default 'AUTO' to # 'SUM_OVER_BATCH_SIZE'. Eg. Canned estimator use cases. if reduction == ReductionV2.AUTO: reduction = ReductionV2.SUM_OVER_BATCH_SIZE if sample_weight is None: sample_weight = 1.0 with backend.name_scope(name or 'weighted_loss'): # Save the `reduction` argument for loss normalization when distributing # to multiple replicas. Used only for estimator + v1 optimizer flow. ops.get_default_graph()._last_loss_reduction = reduction # pylint: disable=protected-access if not isinstance(losses, (keras_tensor.KerasTensor, ragged_tensor.RaggedTensor)): losses = tensor_conversion.convert_to_tensor_v2_with_dispatch(losses) input_dtype = losses.dtype if not isinstance(sample_weight, keras_tensor.KerasTensor): sample_weight = tensor_conversion.convert_to_tensor_v2_with_dispatch( sample_weight ) # TODO(psv): Handle casting here in a better way, eg. if losses is float64 # we do not want to lose precision. losses = math_ops.cast(losses, 'float32') sample_weight = math_ops.cast(sample_weight, 'float32') # Update dimensions of `sample_weight` to match with `losses` if possible. losses, _, sample_weight = squeeze_or_expand_dimensions( # pylint: disable=unbalanced-tuple-unpacking losses, None, sample_weight) weighted_losses = math_ops.multiply(losses, sample_weight) # Apply reduction function to the individual weighted losses. loss = reduce_weighted_loss(weighted_losses, reduction) # Convert the result back to the input type. loss = math_ops.cast(loss, input_dtype) return loss def scale_loss_for_distribution(loss_value): """Scales and returns the given loss value by the number of replicas.""" num_replicas = ( distribute_lib.get_strategy().num_replicas_in_sync) if num_replicas > 1: loss_value *= (1. / num_replicas) return loss_value def cast_losses_to_common_dtype(losses): """Cast a list of losses to a common dtype. If any loss is floating-point, they will all be casted to the most-precise floating-point loss. Otherwise the losses are not casted. We also skip casting losses if there are any complex losses. Args: losses: A list of losses. Returns: `losses`, but they have been casted to a common dtype. """ highest_float = None for loss in losses: if loss.dtype.is_floating: if highest_float is None or loss.dtype.size > highest_float.size: highest_float = loss.dtype elif {loss.dtype, highest_float} == {'bfloat16', 'float16'}: highest_float = 'float32' if loss.dtype.is_complex: return losses # If we find any complex losses, do not cast any losses if highest_float: losses = [math_ops.cast(loss, highest_float) for loss in losses] return losses