Spherical Brownian Diffusion
A geometric paradigm for continuous diffusion language models that formulates language generation as a Brownian motion diffusion process on the unit sphere, uses the heat semigroup to provide an analytical forward process, and decouples noising from sampling.
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The spherical Brownian diffusion paper proposes Brownian motion as the most natural isotropic diffusion process on the sphere, and uses it as the forward process of a continuous diffusion language model.
The paper provides an analytical framework that decomposes the design space of diffusion language models into independently evaluable components via approximation rates and controlled substitution.
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The spherical Brownian diffusion paper proposes Brownian motion as the most natural isotropic diffusion process on the sphere, and uses it as the forward process of a continuous diffusion language model.
50%UnverifiedThe paper provides an analytical framework that decomposes the design space of diffusion language models into independently evaluable components via approximation rates and controlled substitution.
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