Read from LIT-383 — ARXIV-2409.12917.

The setup it inherits

It opens by conceding the negative result: self-correction “has consistently been found to be largely ineffective in modern LLMs” — LIT-382’s finding. The response is a change of intervention. If asking does not work, train for it; and train without a stronger model, an oracle or additional supervision, because any of those would make the result a distillation result instead.

Why supervised fine-tuning does not get there

This is the part I would keep if the method were superseded tomorrow. Two distinct failure modes, and they are not the same complaint:

  • Distribution mismatch. Correction traces collected from some data-collection policy contain that policy’s mistakes. The model being trained makes different ones, so it is learning to repair errors it does not commit.
  • Behaviour collapse. Training implicitly prefers one mode of correction that scores well on the training prompts — the paper’s phrasing is that it ends up “fitting high-reward responses for a given prompt” rather than learning a behaviour that corrects at test time.

The second is the more interesting failure because it looks like success right up until evaluation on new problems.

The method, read as a response to those two

Train on the model’s own distribution of self-generated correction traces, which is the direct answer to the first. Then regularize against the second, in two stages: an initial phase of multi-turn RL on the base model to reach an initialization “less susceptible to collapse”, followed by a reward bonus that specifically amplifies correction rather than first-attempt quality.

Results: +15.6% on MATH, +9.1% on HumanEval, for Gemini 1.0 Pro and 1.5 Flash.

What this does to the record

Sources one practice — train the capability rather than prompt for it.

The connection worth recording is to SOTA-130, which the record already holds: the R1-Zero line, skip the supervised reasoning stage and run RL with verifiable rewards on the base model directly. Both conclude a supervised stage is insufficient for a reasoning-adjacent capability and both reach for online RL.

They are not the same claim and should not be merged. SOTA-130 reports that skipping SFT works; this paper says why fitting offline traces fails, with two mechanisms named and separated. A reader who has the first and not the second knows a thing happens and not what breaks — and the mechanism is the half that transfers to a capability neither paper studied.

Not filed from here: the specific two-stage recipe as a recommendation. It is reported on two Gemini models by one group, and a practice telling anyone to adopt that exact schedule would be overreading a single result. What the practice records is the choice of intervention, which is what the evidence actually supports.