Reputation: 3347
How do I multiply tf.keras.layers
with tf.Variable
?
Context: I am creating a sample dependent convolutional filter, which consists of a generic filter W
that is transformed through sample dependent shifting + scaling. Therefore, the convolutional original filter W
is transformed into aW + b
where a
is sample dependent scaling and b
is sample dependent shifting. One application of this is training an autoencoder where the sample dependency is the label, so each label shifts/scales the convolutional filter. Because of sample/label dependent convolutions, I am using tf.nn.conv2d
which takes the actual filters as input (as opposed to just the number/size of filters) and a lambda layer with tf.map_fn
to apply a different "transformed filter" (based on the label) for each sample. Although the details are different, this kind of sample-dependent convolution approach is discussed in this post: Tensorflow: Convolutions with different filter for each sample in the mini-batch.
Here is what I am thinking:
input_img = keras.Input(shape=(28, 28, 1))
label = keras.Input(shape=(10,)) # number of classes
num_filters = 32
shift = layers.Dense(num_filters, activation=None, name='shift')(label) # (32,)
scale = layers.Dense(num_filters, activation=None, name='scale')(label) # (32,)
# filter is of shape (filter_h, filter_w, input channels, output filters)
filter = tf.Variable(tf.ones((3,3,input_img.shape[-1],num_filters)))
# TODO: need to shift and scale -> shift*(filter) + scale along each output filter dimension (32 filter dimensions)
I am not sure how to implement the TODO
part. I was thinking of tf.keras.layers.Multiply()
for scaling and tf.keras.layers.Add()
for shifting, but they do not seem to work with tf.Variable to my knowledge. How do I get around this? Assuming the dimensions/shape broadcasting work out, I would like to do something like this (note: the output should still be the same shape as var and is just scaled along each of the 32 output filter dimensions)
output = tf.keras.layers.Multiply()([var, scale])
Upvotes: 0
Views: 598
Reputation: 11333
It requires some work and needs a custom layer. For example you cannot use tf.Variable with tf.keras.Lambda
class ConvNorm(layers.Layer):
def __init__(self, height, width, n_filters):
super(ConvNorm, self).__init__()
self.height = height
self.width = width
self.n_filters = n_filters
def build(self, input_shape):
self.filter = self.add_weight(shape=(self.height, self.width, input_shape[-1], self.n_filters),
initializer='glorot_uniform',
trainable=True)
# TODO: Add bias too
def call(self, x, scale, shift):
shift_reshaped = tf.expand_dims(tf.expand_dims(shift,1),1)
scale_reshaped = tf.expand_dims(tf.expand_dims(scale,1),1)
norm_conv_out = tf.nn.conv2d(x, self.filter*scale + shift, strides=(1,1,1,1), padding='SAME')
return norm_conv_out
Using the layer
import tensorflow as tf
import tensorflow.keras.layers as layers
input_img = layers.Input(shape=(28, 28, 1))
label = layers.Input(shape=(10,)) # number of classes
num_filters = 32
shift = layers.Dense(num_filters, activation=None, name='shift')(label) # (32,)
scale = layers.Dense(num_filters, activation=None, name='scale')(label) # (32,)
conv_norm_out = ConvNorm(3,3,32)(input_img, scale, shift)
print(norm_conv_out.shape)
Note: Note that I haven't added bias. You will need bias as well for the convolution layer. But that's straightfoward.
Upvotes: 1