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objectives -> losses
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from __future__ import absolute_import
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from keras.objectives import *
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import keras_contrib.backend as KC
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class DSSIMObjective():
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def __init__(self, k1=0.01, k2=0.03, kernel_size=3, max_value=1.0):
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"""
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Difference of Structural Similarity (DSSIM loss function). Clipped between 0 and 0.5
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Note : You should add a regularization term like a l2 loss in addition to this one.
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:param k1: Parameter of the SSIM (default 0.01)
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:param k2: Parameter of the SSIM (default 0.03)
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:param kernel_size: Size of the sliding window (default 3)
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:param max_value: Max value of the output (default 1.0)
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"""
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self.__name__ = "DSSIMObjective"
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self.kernel_size = kernel_size
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self.k1 = k1
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self.k2 = k2
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self.max_value = max_value
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self.c1 = (self.k1 * self.max_value) ** 2
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self.c2 = (self.k2 * self.max_value) ** 2
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self.dim_ordering = K.image_dim_ordering()
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self.backend = KC.backend()
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def __int_shape(self, x):
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return KC.int_shape(x) if self.backend == "tensorflow" else KC.shape(x)
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def __call__(self, y_true, y_pred):
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# There are additional parameters for this function
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# Note: some of the 'modes' for edge behavior do not yet have a gradient definition in the Theano tree
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# and cannot be used for learning
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kernel = [self.kernel_size, self.kernel_size]
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y_true = KC.reshape(y_true, [-1] + list(self.__int_shape(y_pred)[1:]))
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y_pred = KC.reshape(y_pred, [-1] + list(self.__int_shape(y_pred)[1:]))
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patches_pred = KC.extract_image_patches(y_pred, kernel, kernel, "valid", self.dim_ordering)
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patches_true = KC.extract_image_patches(y_true, kernel, kernel, "valid", self.dim_ordering)
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# Reshape to get the var in the cells
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bs, w, h, c1, c2, c3 = self.__int_shape(patches_pred)
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patches_pred = KC.reshape(patches_pred, [-1, w, h, c1 * c2 * c3])
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patches_true = KC.reshape(patches_true, [-1, w, h, c1 * c2 * c3])
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# Get mean
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u_true = KC.mean(patches_true, axis=-1)
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u_pred = KC.mean(patches_pred, axis=-1)
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# Get variance
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var_true = K.var(patches_true, axis=-1)
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var_pred = K.var(patches_pred, axis=-1)
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# Get std dev
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std_true = K.sqrt(var_true + KC.epsilon())
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std_pred = K.sqrt(var_pred + KC.epsilon())
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ssim = (2 * u_true * u_pred + self.c1) * (2 * std_pred * std_true + self.c2)
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denom = (K.square(u_true) + K.square(u_pred) + self.c1) * (var_pred + var_true + self.c2)
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ssim /= denom # no need for clipping, c1 and c2 make the denom non-zero
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return K.mean((1.0 - ssim) / 2.0)
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