| name | cell | topology | λ | hidden | best test acc | Δ vs dense | ev/n/s | K̄ rec | % of dense | spec gap | alg conn | acc / param | score (vs same-N) | lr | p₀ | batch | T steps | wd | seed | params (effective) | epochs done | s / epoch | ETA / done | wall |
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For each topology: left = adjacency matrix (white pixel = connection); middle = spatial layout, connections from one centred neuron drawn in topology colour; right = fan-in distribution across neurons. N=128, seed=0; orig rows at λ̃=0.55/p₀=0.25; LOC rows at periodic torus + sharper kernel.
Three candidate regular patterns: same offset set for every neuron on the [0,1)³ torus, so K is exactly the same per neuron and the kernel is tensor-core friendly. 4-panel layout: adjacency matrix, 3D connectivity from one centred neuron, fan-in histogram (single delta), and the offset kernel itself (the relative-position pattern that's reused for every neuron).