Looped Transformers revive interest in Deep Equilibrium Models, the 2019 infinite-depth trick

burny_tech · x · 2026-09-03

hayousoufiane notes Looped Transformers echo the Equilibrium Models literature, citing Deep Equilibrium Models (arXiv:1909.01377, NeurIPS 2019 Spotlight). DEQ finds hidden-layer fixed points via root-finding, equivalent to infinite-depth weight-tied feedforward nets, backprops analytically through the equilibrium with implicit differentiation, needs constant memory (up to 88% reduction), and matched SOTA on WikiText-103. Whether looping beats vanilla architectures remains unclear.

Related event: Looped Transformer Debate: Just Deeper Networks or Real Recurrence?(8 posts)→

Original post →

More from Research

Research channel →