tfl.lattice_lib.laplacian_regularizer
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Returns Laplacian regularization loss for Lattice
layer.
tfl.lattice_lib.laplacian_regularizer(
weights, lattice_sizes, l1=0.0, l2=0.0
)
Laplacian regularizer penalizes the difference between adjacent vertices in
multi-cell lattice (see
publication).
Consider a 3 x 2 lattice with weights w
:
w[3]-----w[4]-----w[5]
| | |
| | |
w[0]-----w[1]-----w[2]
where the number at each node represents the weight index.
In this case, the laplacian regularizer is defined as:
l1[0] * (|w[1] - w[0]| + |w[2] - w[1]| +
|w[4] - w[3]| + |w[5] - w[4]|) +
l1[1] * (|w[3] - w[0]| + |w[4] - w[1]| + |w[5] - w[2]|) +
l2[0] * ((w[1] - w[0])^2 + (w[2] - w[1])^2 +
(w[4] - w[3])^2 + (w[5] - w[4])^2) +
l2[1] * ((w[3] - w[0])^2 + (w[4] - w[1])^2 + (w[5] - w[2])^2)
Arguments |
weights
|
Lattice weights tensor of shape: (prod(lattice_sizes), units) .
|
lattice_sizes
|
List or tuple of integers which represents lattice sizes.
|
l1
|
l1 regularization amount. Either single float or list or tuple of floats
to specify different regularization amount per dimension.
|
l2
|
l2 regularization amount. Either single float or list or tuple of floats
to specify different regularization amount per dimension.
|
Returns |
Laplacian regularization loss.
|
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Last updated 2024-08-02 UTC.
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