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|
- # Keras implementation of the paper:
- # 3D MRI Brain Tumor Segmentation Using Autoencoder Regularization
- # by Myronenko A. (https://arxiv.org/pdf/1810.11654.pdf)
- # Author of this code: Suyog Jadhav (https://github.com/IAmSUyogJadhav)
- import keras.backend as K
- from keras.losses import mse
- from keras.layers import Conv3D, Activation, Add, UpSampling3D, Lambda, Dense
- from keras.layers import Input, Reshape, Flatten, Dropout, SpatialDropout3D
- from keras.optimizers import Adam as adam
- from keras.models import Model
- try:
- from group_norm import GroupNormalization
- except ImportError:
- import urllib.request
- print('Downloading group_norm.py in the current directory...')
- url = 'https://raw.githubusercontent.com/titu1994/Keras-Group-Normalization/master/group_norm.py'
- urllib.request.urlretrieve(url, "group_norm.py")
- from group_norm import GroupNormalization
- def green_block(inp, filters, data_format='channels_first', name=None):
- """
- green_block(inp, filters, name=None)
- ------------------------------------
- Implementation of the special residual block used in the paper. The block
- consists of two (GroupNorm --> ReLu --> 3x3x3 non-strided Convolution)
- units, with a residual connection from the input `inp` to the output. Used
- internally in the model. Can be used independently as well.
- Parameters
- ----------
- `inp`: An keras.layers.layer instance, required
- The keras layer just preceding the green block.
- `filters`: integer, required
- No. of filters to use in the 3D convolutional block. The output
- layer of this green block will have this many no. of channels.
- `data_format`: string, optional
- The format of the input data. Must be either 'chanels_first' or
- 'channels_last'. Defaults to `channels_first`, as used in the paper.
- `name`: string, optional
- The name to be given to this green block. Defaults to None, in which
- case, keras uses generated names for the involved layers. If a string
- is provided, the names of individual layers are generated by attaching
- a relevant prefix from [GroupNorm_, Res_, Conv3D_, Relu_, ], followed
- by _1 or _2.
- Returns
- -------
- `out`: A keras.layers.Layer instance
- The output of the green block. Has no. of channels equal to `filters`.
- The size of the rest of the dimensions remains same as in `inp`.
- """
- inp_res = Conv3D(
- filters=filters,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format=data_format,
- name=f'Res_{name}' if name else None)(inp)
- # axis=1 for channels_first data format
- # No. of groups = 8, as given in the paper
- x = GroupNormalization(
- groups=8,
- axis=1 if data_format == 'channels_first' else 0,
- name=f'GroupNorm_1_{name}' if name else None)(inp)
- x = Activation('relu', name=f'Relu_1_{name}' if name else None)(x)
- x = Conv3D(
- filters=filters,
- kernel_size=(3, 3, 3),
- strides=1,
- padding='same',
- data_format=data_format,
- name=f'Conv3D_1_{name}' if name else None)(x)
- x = GroupNormalization(
- groups=8,
- axis=1 if data_format == 'channels_first' else 0,
- name=f'GroupNorm_2_{name}' if name else None)(x)
- x = Activation('relu', name=f'Relu_2_{name}' if name else None)(x)
- x = Conv3D(
- filters=filters,
- kernel_size=(3, 3, 3),
- strides=1,
- padding='same',
- data_format=data_format,
- name=f'Conv3D_2_{name}' if name else None)(x)
- out = Add(name=f'Out_{name}' if name else None)([x, inp_res])
- return out
- # From keras-team/keras/blob/master/examples/variational_autoencoder.py
- def sampling(args):
- """Reparameterization trick by sampling from an isotropic unit Gaussian.
- # Arguments
- args (tensor): mean and log of variance of Q(z|X)
- # Returns
- z (tensor): sampled latent vector
- """
- z_mean, z_var = args
- batch = K.shape(z_mean)[0]
- dim = K.int_shape(z_mean)[1]
- # by default, random_normal has mean = 0 and std = 1.0
- epsilon = K.random_normal(shape=(batch, dim))
- return z_mean + K.exp(0.5 * z_var) * epsilon
- def dice_coefficient(y_true, y_pred):
- intersection = K.sum(K.abs(y_true * y_pred), axis=[-3,-2,-1])
- dn = K.sum(K.square(y_true) + K.square(y_pred), axis=[-3,-2,-1]) + 1e-8
- return K.mean(2 * intersection / dn, axis=[0,1])
- def loss_gt(e=1e-8):
- """
- loss_gt(e=1e-8)
- ------------------------------------------------------
- Since keras does not allow custom loss functions to have arguments
- other than the true and predicted labels, this function acts as a wrapper
- that allows us to implement the custom loss used in the paper. This function
- only calculates - L<dice> term of the following equation. (i.e. GT Decoder part loss)
-
- L = - L<dice> + weight_L2 ∗ L<L2> + weight_KL ∗ L<KL>
-
- Parameters
- ----------
- `e`: Float, optional
- A small epsilon term to add in the denominator to avoid dividing by
- zero and possible gradient explosion.
-
- Returns
- -------
- loss_gt_(y_true, y_pred): A custom keras loss function
- This function takes as input the predicted and ground labels, uses them
- to calculate the dice loss.
-
- """
- def loss_gt_(y_true, y_pred):
- intersection = K.sum(K.abs(y_true * y_pred), axis=[-3,-2,-1])
- dn = K.sum(K.square(y_true) + K.square(y_pred), axis=[-3,-2,-1]) + e
-
- return 1 - K.mean(2 * intersection / dn, axis=[0,1])
-
- return loss_gt_
- def loss_VAE(input_shape, z_mean, z_var, weight_L2=0.1, weight_KL=0.1):
- """
- loss_VAE(input_shape, z_mean, z_var, weight_L2=0.1, weight_KL=0.1)
- ------------------------------------------------------
- Since keras does not allow custom loss functions to have arguments
- other than the true and predicted labels, this function acts as a wrapper
- that allows us to implement the custom loss used in the paper. This function
- calculates the following equation, except for -L<dice> term. (i.e. VAE decoder part loss)
-
- L = - L<dice> + weight_L2 ∗ L<L2> + weight_KL ∗ L<KL>
-
- Parameters
- ----------
- `input_shape`: A 4-tuple, required
- The shape of an image as the tuple (c, H, W, D), where c is
- the no. of channels; H, W and D is the height, width and depth of the
- input image, respectively.
- `z_mean`: An keras.layers.Layer instance, required
- The vector representing values of mean for the learned distribution
- in the VAE part. Used internally.
- `z_var`: An keras.layers.Layer instance, required
- The vector representing values of variance for the learned distribution
- in the VAE part. Used internally.
- `weight_L2`: A real number, optional
- The weight to be given to the L2 loss term in the loss function. Adjust to get best
- results for your task. Defaults to 0.1.
- `weight_KL`: A real number, optional
- The weight to be given to the KL loss term in the loss function. Adjust to get best
- results for your task. Defaults to 0.1.
-
- Returns
- -------
- loss_VAE_(y_true, y_pred): A custom keras loss function
- This function takes as input the predicted and ground labels, uses them
- to calculate the L2 and KL loss.
-
- """
- def loss_VAE_(y_true, y_pred):
- c, H, W, D = input_shape
- n = c * H * W * D
-
- loss_L2 = K.mean(K.square(y_true - y_pred), axis=(1, 2, 3, 4)) # original axis value is (1,2,3,4).
- loss_KL = (1 / n) * K.sum(
- K.exp(z_var) + K.square(z_mean) - 1. - z_var,
- axis=-1
- )
- return weight_L2 * loss_L2 + weight_KL * loss_KL
- return loss_VAE_
- def build_model(input_shape=(4, 160, 192, 128), output_channels=3, weight_L2=0.1, weight_KL=0.1, dice_e=1e-8):
- """
- build_model(input_shape=(4, 160, 192, 128), output_channels=3, weight_L2=0.1, weight_KL=0.1)
- -------------------------------------------
- Creates the model used in the BRATS2018 winning solution
- by Myronenko A. (https://arxiv.org/pdf/1810.11654.pdf)
- Parameters
- ----------
- `input_shape`: A 4-tuple, optional.
- Shape of the input image. Must be a 4D image of shape (c, H, W, D),
- where, each of H, W and D are divisible by 2^4, and c is divisible by 4.
- Defaults to the crop size used in the paper, i.e., (4, 160, 192, 128).
- `output_channels`: An integer, optional.
- The no. of channels in the output. Defaults to 3 (BraTS 2018 format).
- `weight_L2`: A real number, optional
- The weight to be given to the L2 loss term in the loss function. Adjust to get best
- results for your task. Defaults to 0.1.
- `weight_KL`: A real number, optional
- The weight to be given to the KL loss term in the loss function. Adjust to get best
- results for your task. Defaults to 0.1.
- `dice_e`: Float, optional
- A small epsilon term to add in the denominator of dice loss to avoid dividing by
- zero and possible gradient explosion. This argument will be passed to loss_gt function.
- Returns
- -------
- `model`: A keras.models.Model instance
- The created model.
- """
- c, H, W, D = input_shape
- assert len(input_shape) == 4, "Input shape must be a 4-tuple"
- assert (c % 4) == 0, "The no. of channels must be divisible by 4"
- assert (H % 16) == 0 and (W % 16) == 0 and (D % 16) == 0, \
- "All the input dimensions must be divisible by 16"
- # -------------------------------------------------------------------------
- # Encoder
- # -------------------------------------------------------------------------
- ## Input Layer
- inp = Input(input_shape)
- ## The Initial Block
- x = Conv3D(
- filters=32,
- kernel_size=(3, 3, 3),
- strides=1,
- padding='same',
- data_format='channels_first',
- name='Input_x1')(inp)
- ## Dropout (0.2)
- x = SpatialDropout3D(0.2, data_format='channels_first')(x)
- ## Green Block x1 (output filters = 32)
- x1 = green_block(x, 32, name='x1')
- x = Conv3D(
- filters=32,
- kernel_size=(3, 3, 3),
- strides=2,
- padding='same',
- data_format='channels_first',
- name='Enc_DownSample_32')(x1)
- ## Green Block x2 (output filters = 64)
- x = green_block(x, 64, name='Enc_64_1')
- x2 = green_block(x, 64, name='x2')
- x = Conv3D(
- filters=64,
- kernel_size=(3, 3, 3),
- strides=2,
- padding='same',
- data_format='channels_first',
- name='Enc_DownSample_64')(x2)
- ## Green Blocks x2 (output filters = 128)
- x = green_block(x, 128, name='Enc_128_1')
- x3 = green_block(x, 128, name='x3')
- x = Conv3D(
- filters=128,
- kernel_size=(3, 3, 3),
- strides=2,
- padding='same',
- data_format='channels_first',
- name='Enc_DownSample_128')(x3)
- ## Green Blocks x4 (output filters = 256)
- x = green_block(x, 256, name='Enc_256_1')
- x = green_block(x, 256, name='Enc_256_2')
- x = green_block(x, 256, name='Enc_256_3')
- x4 = green_block(x, 256, name='x4')
- # -------------------------------------------------------------------------
- # Decoder
- # -------------------------------------------------------------------------
- ## GT (Groud Truth) Part
- # -------------------------------------------------------------------------
- ### Green Block x1 (output filters=128)
- x = Conv3D(
- filters=128,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_GT_ReduceDepth_128')(x4)
- x = UpSampling3D(
- size=2,
- data_format='channels_first',
- name='Dec_GT_UpSample_128')(x)
- x = Add(name='Input_Dec_GT_128')([x, x3])
- x = green_block(x, 128, name='Dec_GT_128')
- ### Green Block x1 (output filters=64)
- x = Conv3D(
- filters=64,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_GT_ReduceDepth_64')(x)
- x = UpSampling3D(
- size=2,
- data_format='channels_first',
- name='Dec_GT_UpSample_64')(x)
- x = Add(name='Input_Dec_GT_64')([x, x2])
- x = green_block(x, 64, name='Dec_GT_64')
- ### Green Block x1 (output filters=32)
- x = Conv3D(
- filters=32,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_GT_ReduceDepth_32')(x)
- x = UpSampling3D(
- size=2,
- data_format='channels_first',
- name='Dec_GT_UpSample_32')(x)
- x = Add(name='Input_Dec_GT_32')([x, x1])
- x = green_block(x, 32, name='Dec_GT_32')
- ### Blue Block x1 (output filters=32)
- x = Conv3D(
- filters=32,
- kernel_size=(3, 3, 3),
- strides=1,
- padding='same',
- data_format='channels_first',
- name='Input_Dec_GT_Output')(x)
- ### Output Block
- out_GT = Conv3D(
- filters=output_channels, # No. of tumor classes is 3
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- activation='sigmoid',
- name='Dec_GT_Output')(x)
- ## VAE (Variational Auto Encoder) Part
- # -------------------------------------------------------------------------
- ### VD Block (Reducing dimensionality of the data)
- x = GroupNormalization(groups=8, axis=1, name='Dec_VAE_VD_GN')(x4)
- x = Activation('relu', name='Dec_VAE_VD_relu')(x)
- x = Conv3D(
- filters=16,
- kernel_size=(3, 3, 3),
- strides=2,
- padding='same',
- data_format='channels_first',
- name='Dec_VAE_VD_Conv3D')(x)
- # Not mentioned in the paper, but the author used a Flattening layer here.
- x = Flatten(name='Dec_VAE_VD_Flatten')(x)
- x = Dense(256, name='Dec_VAE_VD_Dense')(x)
- ### VDraw Block (Sampling)
- z_mean = Dense(128, name='Dec_VAE_VDraw_Mean')(x)
- z_var = Dense(128, name='Dec_VAE_VDraw_Var')(x)
- x = Lambda(sampling, name='Dec_VAE_VDraw_Sampling')([z_mean, z_var])
- ### VU Block (Upsizing back to a depth of 256)
- x = Dense((c//4) * (H//16) * (W//16) * (D//16))(x)
- x = Activation('relu')(x)
- x = Reshape(((c//4), (H//16), (W//16), (D//16)))(x)
- x = Conv3D(
- filters=256,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_VAE_ReduceDepth_256')(x)
- x = UpSampling3D(
- size=2,
- data_format='channels_first',
- name='Dec_VAE_UpSample_256')(x)
- ### Green Block x1 (output filters=128)
- x = Conv3D(
- filters=128,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_VAE_ReduceDepth_128')(x)
- x = UpSampling3D(
- size=2,
- data_format='channels_first',
- name='Dec_VAE_UpSample_128')(x)
- x = green_block(x, 128, name='Dec_VAE_128')
- ### Green Block x1 (output filters=64)
- x = Conv3D(
- filters=64,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_VAE_ReduceDepth_64')(x)
- x = UpSampling3D(
- size=2,
- data_format='channels_first',
- name='Dec_VAE_UpSample_64')(x)
- x = green_block(x, 64, name='Dec_VAE_64')
- ### Green Block x1 (output filters=32)
- x = Conv3D(
- filters=32,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_VAE_ReduceDepth_32')(x)
- x = UpSampling3D(
- size=2,
- data_format='channels_first',
- name='Dec_VAE_UpSample_32')(x)
- x = green_block(x, 32, name='Dec_VAE_32')
- ### Blue Block x1 (output filters=32)
- x = Conv3D(
- filters=32,
- kernel_size=(3, 3, 3),
- strides=1,
- padding='same',
- data_format='channels_first',
- name='Input_Dec_VAE_Output')(x)
- ### Output Block
- out_VAE = Conv3D(
- filters=4,
- kernel_size=(1, 1, 1),
- strides=1,
- data_format='channels_first',
- name='Dec_VAE_Output')(x)
- # Build and Compile the model
- out = out_GT
- model = Model(inp, outputs=[out, out_VAE]) # Create the model
- model.compile(
- adam(lr=1e-4),
- [loss_gt(dice_e), loss_VAE(input_shape, z_mean, z_var, weight_L2=weight_L2, weight_KL=weight_KL)],
- metrics=[dice_coefficient]
- )
- return model
|