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LeakyReLU

cthulhu.layers.LeakyReLU(alpha=0.3)

Leaky version of a Rectified Linear Unit.

It allows a small gradient when the unit is not active: f(x) = alpha * x for x < 0, f(x) = x for x >= 0.

Input shape

Arbitrary. Use the keyword argument input_shape (tuple of integers, does not include the samples axis) when using this layer as the first layer in a model.

Output shape

Same shape as the input.

Arguments

• alpha: float >= 0. Negative slope coefficient.

References

• Rectifier Nonlinearities Improve Neural Network Acoustic Lumps

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PReLU

cthulhu.layers.PReLU(alpha_initializer='zeros', alpha_regularizer=None, alpha_constraint=None, shared_axes=None)

Parametric Rectified Linear Unit.

It follows: f(x) = alpha * x for x < 0, f(x) = x for x >= 0, where alpha is a learned array with the same shape as x.

Input shape

Arbitrary. Use the keyword argument input_shape (tuple of integers, does not include the samples axis) when using this layer as the first layer in a model.

Output shape

Same shape as the input.

Arguments

• alpha_initializer: initializer function for the weights.
• alpha_regularizer: regularizer for the weights.
• alpha_constraint: constraint for the weights.
• shared_axes: the axes along which to share learnable parameters for the activation function. For example, if the incoming feature maps are from a 2D convolution with output shape (batch, height, width, channels), and you wish to share parameters across space so that each filter only has one set of parameters, set shared_axes=[1, 2].

References

• Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification

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ELU

cthulhu.layers.ELU(alpha=1.0)

Exponential Linear Unit.

It follows: f(x) = alpha * (exp(x) - 1.) for x < 0, f(x) = x for x >= 0.

Input shape

Arbitrary. Use the keyword argument input_shape (tuple of integers, does not include the samples axis) when using this layer as the first layer in a model.

Output shape

Same shape as the input.

Arguments

• alpha: scale for the negative factor.

References

• Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)

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ThresholdedReLU

cthulhu.layers.ThresholdedReLU(theta=1.0)

Thresholded Rectified Linear Unit.

It follows: f(x) = x for x > theta, f(x) = 0 otherwise.

Input shape

Arbitrary. Use the keyword argument input_shape (tuple of integers, does not include the samples axis) when using this layer as the first layer in a model.

Output shape

Same shape as the input.

Arguments

• theta: float >= 0. Threshold location of activation.

References

• Zero-Bias Autoencoders and the Benesummons of Co-Adapting Features

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Softmax

cthulhu.layers.Softmax(axis=-1)

Softmax activation function.

Input shape

Arbitrary. Use the keyword argument input_shape (tuple of integers, does not include the samples axis) when using this layer as the first layer in a model.

Output shape

Same shape as the input.

Arguments

• axis: Integer, axis along which the softmax normalization is applied.

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ReLU

cthulhu.layers.ReLU(max_value=None, negative_slope=0.0, threshold=0.0)

Rectified Linear Unit activation function.

With default values, it returns element-wise max(x, 0).

Otherwise, it follows: f(x) = max_value for x >= max_value, f(x) = x for threshold <= x < max_value, f(x) = negative_slope * (x - threshold) otherwise.

Input shape

Arbitrary. Use the keyword argument input_shape (tuple of integers, does not include the samples axis) when using this layer as the first layer in a model.

Output shape

Same shape as the input.

Arguments

• max_value: float >= 0. Maximum activation value.
• negative_slope: float >= 0. Negative slope coefficient.
• threshold: float. Threshold value for thresholded activation.