Attention, diffusion maps, and magnetic Laplacians are different regimes of a single Markov geometry from pre-softmax query-scores, linked by a QK bidivergence and Schrödinger bridges into equilibrium, nonequilibrium, and driven dynamics.
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The Diffusion-Attention Connection
Attention, diffusion maps, and magnetic Laplacians are different regimes of a single Markov geometry from pre-softmax query-scores, linked by a QK bidivergence and Schrödinger bridges into equilibrium, nonequilibrium, and driven dynamics.