The Price of Looping a Transformer
Two papers published on April 24 together give the most precise picture yet of looped transformer architectures — where the same block is reused across depth instead of stacking unique layers. The first derives a recurrence-equivalence exponent φ = 0.46 from 116 training runs, showing that looping carries a real compute cost. The second proposes Hyperloop Transformers, adding hyper-connections to partially recover from it, and demonstrates that a 579M Hyperloop model outperforms a standard 1B transformer on perplexity and downstream benchmarks.
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