How to implement multi-class semantic segmentation?

Question

I'm able to train a U-net with labeled images that have a binary classification.

But I'm having a hard time figuring out how to configure the final layers in Keras/Theano for multi-class classification (4 classes).

I have 634 images and corresponding 634 masks that are unit8 and 64 x 64 pixels.

My masks, instead of being black (0) and white (1), have color labeled objects in 3 categories plus background as follows:

• black (0), background
• red (1), object class 1
• green (2), object class 2
• yellow (3), object class 3

Before training runs, the array containing masks is one-hot encoded as follows:

mask_train = to_categorical(mask_train, 4)

This makes mask_train.shape go from (634, 1, 64, 64) to (2596864, 4).

My model closely follows the Unet architecture, however the final layers seem problematic, as I'm unable to flatten the structure so as to match the one-hot encoded array.

[...]
up3 = concatenate([UpSampling2D(size=(2, 2))(conv7), conv2], axis=1)
conv8 = Conv2D(128, (3, 3), activation='relu', padding='same')(up3)
conv8 = Conv2D(128, (3, 3), activation='relu', padding='same')(conv8)

up4 = concatenate([UpSampling2D(size=(2, 2))(conv8), conv1], axis=1)
conv9 = Conv2D(64, (3, 3), activation='relu', padding='same')(up4)
conv10 = Conv2D(64, (3, 3), activation='relu', padding='same')(conv9)

# here I used number classes = number of filters and softmax although
# not sure if a dense layer should be here instead
conv11 = Conv2D(4, (1, 1), activation='softmax')(conv10)

model = Model(inputs=[inputs], outputs=[conv11])

# here categorical cross entropy is being used but may not be correct
model.compile(optimizer='sgd', loss='categorical_crossentropy',
              metrics=['accuracy'])

return model

Do you have any suggestions on how to modify the final portions of the model so this trains successfully? I get a variety of shape mismatch errors, and the few times I managed to make it run, the loss did not change throughout epochs.

Answer 1

You should have your target as (634,4,64,64) if you're using channels_first.
Or (634,64,64,4) if channels_last.

Each channel of your target should be one class. Each channel is an image of 0's and 1's, where 1 means that pixel is that class and 0 means that pixel is not that class.

Then, your target is 634 groups, each group containing four images, each image having 64x64 pixels, where pixels 1 indicate the presence of the desired feature.

I'm not sure the result will be ordered correctly, but you can try:

mask_train = to_categorical(mask_train, 4)
mask_train = mask_train.reshape((634,64,64,4)) 
#I chose channels last here because to_categorical is outputing your classes last: (2596864,4)

#moving the channel:
mask_train = np.moveaxis(mask_train,-1,1)

If the ordering doesn't work properly, you can do it manually:

newMask = np.zeros((634,4,64,64))

for samp in range(len(mask_train)):
    im = mask_train[samp,0]
    for x in range(len(im)):
        row = im[x]
        for y in range(len(row)):
            y_val = row[y]
            newMask[samp,y_val,x,y] = 1