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math_layers.rst

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Math Layers

Layer Description
DFTAbs Absolute value of discrete Fourier transform
MatMul Matrix multiplication

DFTAbs

The DFTAbs layer performs the absolute value of discrete Fourier transform. One-, two-, or three-dimensional data is allowed. The implementation is meant to be as flexible as possible. We use FFTW for the CPU implementation; whichever types your implementation of FFTW supports will be supported in this layer at runtime. The GPU implementation uses cuFFT on NVIDIA GPUs and will support float and double at runtime (assuming CUDA support is enabled). A future implementation will support rocFFT for AMD GPUs.

Currently, LBANN only supports outputting the same type that is used as input. As such, in forward propagation, this will do a DFT and then compute the absolute value of the output implicitly. The intention is to support immediate customer need now; we will generalize this as LBANN learns to support different input/output data types.

Arguments: None

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MatMul

The MatMul layer performs Matrix multiplication.

Performs matrix product of two 2D input tensors. If the input tensors are 3D, then matrix products are computed independently over the first dimension, in a similar manner as NumPy's matmul function.

Arguments:

transpose_a

(bool) Whether to transpose matrices from first input tensor

transpose_b

(bool) Whether to transpose matrices from second input tensor

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