Researcher predicts LLM community will rediscover fixed-point iteration in looped transformers
gklambauer · x · 2026-09-13
- The author predicts the LLM community will realize that looped transformers are fixed-point iterations of a learned operator, then reinvent classic numerical tools like the Halpern algorithm and resolvents under new names.
- He quips that dynamical systems will be rediscovered next, with terms like "looping with auxiliary memory" — a jab at the field's habit of rebranding old theory.
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