Structured Monarch matrices, derived from circuit multiplication, let probabilistic circuits scale to larger hidden sizes and beat prior tractable models at lower FLOP cost.
•B(i, D)is a block-diagonal matrix with block size D 2i−1 × D 2i−1 , where each block is aB 1, D 2i−1 butterfly factor
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Scaling Probabilistic Circuits via Monarch Matrices
Structured Monarch matrices, derived from circuit multiplication, let probabilistic circuits scale to larger hidden sizes and beat prior tractable models at lower FLOP cost.