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Implementations of basic PyTorch NN modules that operate completely in the Lorentz model of hyperbolic space.
The Lorentz model of n-dimensional hyperbolic space is defined by the following manifold: $$L = {x = [x_0, x_1, ..., x_n] \in \mathbb{R}^{n+1} : ⟨x, x⟩_L = -1 , x_0 > 0 }$$
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Implementations for basic PyTorch nn modules in hyperbolic space