ShellElastic trains one supernet yielding all sizes, with provable hyperparameter transfer

Can Jin · hf · 2026-10-14

ShellElastic organizes hidden dimensions into a dense core plus shells so every hidden matrix is block lower triangular: one full-width forward pass contains every sub-network's exact hidden states, keeping the compute graph fixed at roughly the cost of the widest sub-network. The paper also introduces μE, extending maximal update parameterization to elastic architectures, with provable guarantees that all sub-networks stay maximally updated simultaneously and that hyperparameters tuned on a small proxy transfer across sizes. One run yields sub-networks beating MatFormer and fully elastic baselines at matched parameter counts, approaching separately trained models that take several times the steps.

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