# Copyright 2019 Deepmind Technologies Limited. # # 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. """Transporter architecture in Sonnet/TF 1: https://arxiv.org/abs/1906.11883.""" from __future__ import absolute_import from __future__ import division from __future__ import print_function import functools import sonnet as snt import tensorflow.compat.v1 as tf from tensorflow.contrib import framework as contrib_framework from tensorflow.contrib import layers as contrib_layers nest = contrib_framework.nest # Paper submission used BatchNorm, but we have since found that Layer & Instance # norm can be quite a lot more stable. _NORMALIZATION_CTORS = { "layer": snt.LayerNorm, "instance": functools.partial(snt.LayerNorm, axis=[1, 2]), "batch": snt.BatchNormV2, } def _connect_module_with_kwarg_if_supported(module, input_tensor, kwarg_name, kwarg_value): """Connects a module to some input, plus a kwarg= if supported by module.""" if snt.supports_kwargs(module, kwarg_name) == "supported": kwargs = {kwarg_name: kwarg_value} else: kwargs = {} return module(input_tensor, **kwargs) class Transporter(snt.AbstractModule): """Sonnet module implementing the Transporter architecture.""" def __init__( self, encoder, keypointer, decoder, name="transporter"): """Initialize the Transporter module. Args: encoder: `snt.AbstractModule` mapping images to features (see `Encoder`) keypointer: `snt.AbstractModule` mapping images to keypoint masks (see `KeyPointer`) decoder: `snt.AbstractModule` decoding features to images (see `Decoder`) name: `str` module name """ super(Transporter, self).__init__(name=name) self._encoder = encoder self._decoder = decoder self._keypointer = keypointer def _build(self, image_a, image_b, is_training): """Reconstructs image_b using feature transport from image_a. This approaches matches the NeurIPS submission. Args: image_a: Tensor of shape [B, H, W, C] containing a batch of images. image_b: Tensor of shape [B, H, W, C] containing a batch of images. is_training: `bool` indication whether the model is in training mode. Returns: A dict containing keys: 'reconstructed_image_b': Reconstruction of image_b, with the same shape. 'features_a': Tensor of shape [B, F_h, F_w, N] of the extracted features for `image_a`. 'features_b': Tensor of shape [B, F_h, F_w, N] of the extracted features for `image_b`. 'keypoints_a': The result of the keypointer module on image_a, with stop gradients applied. 'keypoints_b': The result of the keypointer module on image_b. """ # Process both images. All gradients related to image_a are stopped. image_a_features = tf.stop_gradient( self._encoder(image_a, is_training=is_training)) image_a_keypoints = nest.map_structure( tf.stop_gradient, self._keypointer(image_a, is_training=is_training)) image_b_features = self._encoder(image_b, is_training=is_training) image_b_keypoints = self._keypointer(image_b, is_training=is_training) # Transport features num_keypoints = image_a_keypoints["heatmaps"].shape[-1] transported_features = image_a_features for k in range(num_keypoints): mask_a = image_a_keypoints["heatmaps"][..., k, None] mask_b = image_b_keypoints["heatmaps"][..., k, None] # suppress features from image a, around both keypoint locations. transported_features = ( (1 - mask_a) * (1 - mask_b) * transported_features) # copy features from image b around keypoints for image b. transported_features += (mask_b * image_b_features) reconstructed_image_b = self._decoder( transported_features, is_training=is_training) return { "reconstructed_image_b": reconstructed_image_b, "features_a": image_a_features, "features_b": image_b_features, "keypoints_a": image_a_keypoints, "keypoints_b": image_b_keypoints, } def reconstruction_loss(image, predicted_image, loss_type="l2"): """Returns the reconstruction loss between the image and the predicted_image. Args: image: target image tensor of shape [B, H, W, C] predicted_image: reconstructed image as returned by the model loss_type: `str` reconstruction loss, either `l2` (default) or `l1`. Returns: The reconstruction loss """ if loss_type == "l2": return tf.reduce_mean(tf.square(image - predicted_image)) elif loss_type == "l1": return tf.reduce_mean(tf.abs(image - predicted_image)) else: raise ValueError("Unknown loss type: {}".format(loss_type)) class Encoder(snt.AbstractModule): """Encoder module mapping an image to features. The encoder is a standard convolutional network with ReLu activations. """ def __init__( self, filters=(16, 16, 32, 32), kernel_sizes=(7, 3, 3, 3), strides=(1, 1, 2, 1), norm_type="batch", name="encoder"): """Initialize the Encoder. Args: filters: tuple of `int`. The ith layer of the encoder will consist of `filters[i]` filters. kernel_sizes: tuple of `int` kernel sizes for each layer strides: tuple of `int` strides for each layer norm_type: string, one of 'instance', 'layer', 'batch'. name: `str` name of the module. """ super(Encoder, self).__init__(name=name) if len({len(filters), len(kernel_sizes), len(strides)}) != 1: raise ValueError( "length of filters/kernel_sizes/strides lists must be the same") self._filters = filters self._kernels = kernel_sizes self._strides = strides self._norm_ctor = _NORMALIZATION_CTORS[norm_type] def _build(self, image, is_training): """Connect the Encoder. Args: image: A batch of images of shape [B, H, W, C] is_training: `bool` indicating if the model is in training mode. Returns: A tensor of features of shape [B, F_h, F_w, N] where F_h and F_w are the height and width of the feature map and N = 4 * `self._filters` """ regularizers = {"w": contrib_layers.l2_regularizer(1.0)} features = image for l in range(len(self._filters)): with tf.variable_scope("conv_{}".format(l + 1)): conv = snt.Conv2D( self._filters[l], self._kernels[l], self._strides[l], padding=snt.SAME, regularizers=regularizers, name="conv_{}".format(l+1)) norm_module = self._norm_ctor(name="normalization") features = conv(features) features = _connect_module_with_kwarg_if_supported( norm_module, features, "is_training", is_training) features = tf.nn.relu(features) return features class KeyPointer(snt.AbstractModule): """Module for extracting keypoints from an image.""" def __init__(self, num_keypoints, gauss_std, keypoint_encoder, custom_getter=None, name="key_pointer"): """Iniitialize the keypointer. Args: num_keypoints: `int` number of keypoints to extract gauss_std: `float` size of the keypoints, relative to the image dimensions normalized to the range [-1, 1] keypoint_encoder: sonnet Module which produces a feature map. Must accept an is_training kwarg. When used in the Transporter, the output spatial resolution of this encoder should match the output spatial resolution of the other encoder, although these two encoders should not share weights. custom_getter: optional custom getter for variables in this module. name: `str` name of the module """ super(KeyPointer, self).__init__(name=name, custom_getter=custom_getter) self._num_keypoints = num_keypoints self._gauss_std = gauss_std self._keypoint_encoder = keypoint_encoder def _build(self, image, is_training): """Compute the gaussian keypoints for the image. Args: image: Image tensor of shape [B, H, W, C] is_training: `bool` whether the model is in training or evaluation mode Returns: a dict with keys: 'centers': A tensor of shape [B, K, 2] of the center locations for each of the K keypoints. 'heatmaps': A tensor of shape [B, F_h, F_w, K] of gaussian maps over the keypoints, where [F_h, F_w] is the size of the keypoint_encoder feature maps. """ conv = snt.Conv2D( self._num_keypoints, [1, 1], stride=1, regularizers={"w": contrib_layers.l2_regularizer(1.0)}, name="conv_1/conv_1") image_features = self._keypoint_encoder(image, is_training=is_training) keypoint_features = conv(image_features) return get_keypoint_data_from_feature_map( keypoint_features, self._gauss_std) def get_keypoint_data_from_feature_map(feature_map, gauss_std): """Returns keypoint information from a feature map. Args: feature_map: [B, H, W, K] Tensor, should be activations from a convnet. gauss_std: float, the standard deviation of the gaussians to be put around the keypoints. Returns: a dict with keys: 'centers': A tensor of shape [B, K, 2] of the center locations for each of the K keypoints. 'heatmaps': A tensor of shape [B, H, W, K] of gaussian maps over the keypoints. """ gauss_mu = _get_keypoint_mus(feature_map) map_size = feature_map.shape.as_list()[1:3] gauss_maps = _get_gaussian_maps(gauss_mu, map_size, 1.0 / gauss_std) return { "centers": gauss_mu, "heatmaps": gauss_maps, } def _get_keypoint_mus(keypoint_features): """Returns the keypoint center points. Args: keypoint_features: A tensor of shape [B, F_h, F_w, K] where K is the number of keypoints to extract. Returns: A tensor of shape [B, K, 2] of the y, x center points of each keypoint. Each center point are in the range [-1, 1]^2. Note: the first element is the y coordinate, the second is the x coordinate. """ gauss_y = _get_coord(keypoint_features, 1) gauss_x = _get_coord(keypoint_features, 2) gauss_mu = tf.stack([gauss_y, gauss_x], axis=2) return gauss_mu def _get_coord(features, axis): """Returns the keypoint coordinate encoding for the given axis. Args: features: A tensor of shape [B, F_h, F_w, K] where K is the number of keypoints to extract. axis: `int` which axis to extract the coordinate for. Has to be axis 1 or 2. Returns: A tensor of shape [B, K] containing the keypoint centers along the given axis. The location is given in the range [-1, 1]. """ if axis != 1 and axis != 2: raise ValueError("Axis needs to be 1 or 2.") other_axis = 1 if axis == 2 else 2 axis_size = features.shape[axis] # Compute the normalized weight for each row/column along the axis g_c_prob = tf.reduce_mean(features, axis=other_axis) g_c_prob = tf.nn.softmax(g_c_prob, axis=1) # Linear combination of the interval [-1, 1] using the normalized weights to # give a single coordinate in the same interval [-1, 1] scale = tf.cast(tf.linspace(-1.0, 1.0, axis_size), tf.float32) scale = tf.reshape(scale, [1, axis_size, 1]) coordinate = tf.reduce_sum(g_c_prob * scale, axis=1) return coordinate def _get_gaussian_maps(mu, map_size, inv_std, power=2): """Transforms the keypoint center points to a gaussian masks.""" mu_y, mu_x = mu[:, :, 0:1], mu[:, :, 1:2] y = tf.cast(tf.linspace(-1.0, 1.0, map_size[0]), tf.float32) x = tf.cast(tf.linspace(-1.0, 1.0, map_size[1]), tf.float32) mu_y, mu_x = tf.expand_dims(mu_y, -1), tf.expand_dims(mu_x, -1) y = tf.reshape(y, [1, 1, map_size[0], 1]) x = tf.reshape(x, [1, 1, 1, map_size[1]]) g_y = tf.pow(y - mu_y, power) g_x = tf.pow(x - mu_x, power) dist = (g_y + g_x) * tf.pow(inv_std, power) g_yx = tf.exp(-dist) g_yx = tf.transpose(g_yx, perm=[0, 2, 3, 1]) return g_yx class Decoder(snt.AbstractModule): """Decoder reconstruction network. The decoder is a standard convolutional network with ReLu activations. """ def __init__(self, initial_filters, output_size, output_channels=3, norm_type="batch", name="decoder"): """Initialize the decoder. Args: initial_filters: `int` number of initial filters used in the decoder output_size: tuple of `int` height and width of the reconstructed image output_channels: `int` number of output channels, for RGB use 3 (default) norm_type: string, one of 'instance', 'layer', 'batch'. name: `str` name of the module """ super(Decoder, self).__init__(name=name) self._initial_filters = initial_filters self._output_height = output_size[0] self._output_width = output_size[1] self._output_channels = output_channels self._norm_ctor = _NORMALIZATION_CTORS[norm_type] def _build(self, features, is_training): """Connect the Decoder. Args: features: Tensor of shape [B, F_h, F_w, N] is_training: `bool` whether the module is in training mode. Returns: A reconstructed image tensor of shape [B, output_height, output_width, output_channels] """ height, width = features.shape.as_list()[1:3] filters = self._initial_filters regularizers = {"w": contrib_layers.l2_regularizer(1.0)} layer = 0 while height <= self._output_height: layer += 1 with tf.variable_scope("conv_{}".format(layer)): conv1 = snt.Conv2D( filters, [3, 3], stride=1, regularizers=regularizers, name="conv_{}".format(layer)) norm_module = self._norm_ctor(name="normalization") features = conv1(features) features = _connect_module_with_kwarg_if_supported( norm_module, features, "is_training", is_training) features = tf.nn.relu(features) if height == self._output_height: layer += 1 with tf.variable_scope("conv_{}".format(layer)): conv2 = snt.Conv2D( self._output_channels, [3, 3], stride=1, regularizers=regularizers, name="conv_{}".format(layer)) features = conv2(features) break else: layer += 1 with tf.variable_scope("conv_{}".format(layer)): conv2 = snt.Conv2D( filters, [3, 3], stride=1, regularizers=regularizers, name="conv_{}".format(layer)) norm_module = self._norm_ctor(name="normalization") features = conv2(features) features = _connect_module_with_kwarg_if_supported( norm_module, features, "is_training", is_training) features = tf.nn.relu(features) height *= 2 width *= 2 features = tf.image.resize(features, [height, width]) if filters >= 8: filters /= 2 assert height == self._output_height assert width == self._output_width return features