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Skip Connections

Skip Connections¤

Local operators used alongside the global spectral convolutions. They process high-frequency, localized information and act as residual connections to stabilize training.

Note: For the standard identity skip connection, neojax directly uses equinox.nn.Identity for simplicity.

neojax.nn.skip_connections.SoftGating ¤

Applies soft-gating by weighting the channels of the given input.

Given an input x of size (batch-size, channels, height, width), this returns x * w where w is of shape (1, channels, 1, 1)

Parameters:

Name Type Description Default
ndim int

Number of spatial dimensions.

required
in_channels int

Number of input channels.

required
out_channels int | None

Number of output channels. If provided, must match in_channels.

None
use_bias bool

Whether to include a learnable bias.

False
Internal Attributes

These fields store the internal layers state (and weights).

  • weight (Float[Array, ...]): Learnable channel-wise weights.
  • bias (Float[Array, ...] | None): Optional learnable channel-wise bias.
__call__(x: Inexact[Array, 'c ...']) -> Inexact[Array, 'c ...'] ¤

Applies soft-gating to input activations.

Parameters:

Name Type Description Default
x Inexact[Array, 'c ...']

Input activations.

required

Returns:

Type Description
Inexact[Array, 'c ...']

Weighted activations.


neojax.nn.skip_connections.Flattened1dConv ¤

Applies 1d convolution to flattened dimensions.

Skip layer that flattens all dimensions except for the leading channel dimension and applies 1d convolution over them, then un-flattens result.

Parameters:

Name Type Description Default
in_channels int

Number of input channels.

required
out_channels int

Number of output channels.

required
kernel_size int

Size of the convolving kernel.

required
use_bias bool

Whether to add a learnable bias to the output.

False
Internal Attributes

These fields store the internal layers state (and weights).

  • conv (eqx.nn.Conv1d): The underlying 1D convolution layer.
  • out_channels (int): Number of output channels.
__call__(x: Inexact[Array, 'in_c ...']) -> Inexact[Array, 'out_c ...'] ¤

Applies 1d convolution to flattened dimensions.

Parameters:

Name Type Description Default
x Inexact[Array, 'in_c ...']

Input activations.

required

Returns:

Type Description
Inexact[Array, 'out_c ...']

Output activations.