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Amazon discusses the evolution of flat datacenter network topologies, from theoretical expander graphs to practical implementations like VL2 and Jellyfish, and current research into Penrose tiling-based designs at AWS.
This paper performs full Jacobian eigendecomposition across production-scale LLMs, revealing a learned spectral gradient from rotation-dominated early layers to symmetric late layers, along with a low-rank bottleneck that compresses perturbations. The results link perturbation propagation and compression to network functional topology.