Class

MPSCNNSpatialNormalization

A spatial normalization kernel.

Declaration

class MPSCNNSpatialNormalization : MPSCNNKernel

Overview

The spatial normalization for a feature channel applies the kernel over local regions which extend spatially, but are in separate feature channels (i.e., they have the shape 1 x kernel width x kernel height).

For each feature channel, the function computes the sum of squares of X inside each rectangle, N2(i,j). It then divides each element of X as follows:

Y(i,j) = X(i,j) / (delta + alpha/(kw*kh) * N2(i,j))^beta

Where kw and kh are the values of the kernelWidth and kernelHeight properties, respectively. It is your responsibility to ensure that the combination of the values of the delta and alphakernelWidthkernelHeight properties does not result in a situation where the denominator becomes zero (in such situations the resulting pixel-value is undefined).

Topics

Initializers

init?(coder: NSCoder, device: MTLDevice)

Initializes a spatial normalization kernel.

init(device: MTLDevice, kernelWidth: Int, kernelHeight: Int)

Initializes a spatial normalization kernel.

Instance Properties

var alpha: Float

The "alpha" variable of the kernel function.

var beta: Float

The "beta" variable of the kernel function.

var delta: Float

The "delta" variable of the kernel function.

Relationships

Inherits From

Conforms To

See Also

Normalization Layers

class MPSCNNCrossChannelNormalization

A normalization kernel applied across feature channels.

class MPSCNNCrossChannelNormalizationGradient

A gradient normalization kernel applied across feature channels.

class MPSCNNLocalContrastNormalization

A local-contrast normalization kernel.

class MPSCNNLocalContrastNormalizationGradient

A gradient local-contrast normalization kernel.

class MPSCNNSpatialNormalizationGradient

A gradient spatial normalization kernel.

class MPSCNNBatchNormalization

A batch normalization kernel.

class MPSCNNBatchNormalizationGradient

A gradient batch normalization kernel.

class MPSCNNBatchNormalizationState

An object that stores data required to execute batch normalization.

class MPSCNNNormalizationMeanAndVarianceState

An object that stores mean and variance terms used to execute batch normalization.

class MPSCNNBatchNormalizationStatistics

An object that stores statistics required to execute batch normalization.

class MPSCNNBatchNormalizationStatisticsGradient

An object that stores the gradient of the loss function with respect to the batch statistics and batch normalization weights.

class MPSCNNInstanceNormalization

An instance normalization kernel.

class MPSCNNInstanceNormalizationGradient

A gradient instance normalization kernel.

class MPSCNNInstanceNormalizationGradientState

An object that stores information required to execute a gradient pass for instance normalization.

class MPSCNNNormalizationGammaAndBetaState

An object that stores gamma and beta terms used to apply a scale and bias in instance- or batch-normalization operations.

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