TL;DR: A brand new analysis from Apple, formalizes what “mid-training” ought to do earlier than reinforcement studying RL post-training and introduces RA3 (Reasoning as Motion Abstractions)—an EM-style process that learns temporally constant latent actions from professional traces, then fine-tunes on these bootstrapped traces. It exhibits mid-training ought to (1) prune to a compact near-optimal motion subspace and (2) shorten the efficient planning horizon, bettering RL convergence. Empirically, RA3 improves HumanEval/MBPP by ~8/4 factors over base/NTP and accelerates RLVR on HumanEval+, MBPP+, LiveCodeBench, and Codeforces.
What does the analysis current?
The analysis crew current the primary formal therapy of how mid-training shapes post-training reinforcement studying RL: they breakdown outcomes into (i) pruning effectivity—how properly mid-training selects a compact near-optimal motion subset that shapes the preliminary coverage prior—and (ii) RL convergence—how shortly post-training improves inside that restricted set. The evaluation argues mid-training is handiest when the resolution house is compact and the efficient horizon is brief, favoring temporal abstractions over primitive next-token actions.


Algorithm: RA3 in a single go
RA3 derives a sequential variational decrease certain (a temporal ELBO) and optimizes it with an EM-like loop:
- E-step (latent discovery): use RL to deduce temporally constant latent buildings (abstractions) aligned to professional sequences.
- M-step (mannequin replace): carry out next-token prediction on the bootstrapped, latent-annotated traces to make these abstractions a part of the mannequin’s coverage.
Outcomes: code technology and RLVR
On Python code duties, the analysis crew reviews that throughout a number of base fashions, RA3 improves common go@okay on HumanEval and MBPP by ~8 and ~4 factors over the bottom mannequin and an NTP mid-training baseline. In post-training, RLVR converges sooner and to greater closing efficiency on HumanEval+, MBPP+, LiveCodeBench, and Codeforces when initialized from RA3. These are mid- and post-training results respectively; the analysis scope is code technology.
Key Takeaways
- The analysis crew formalizes mid-training by way of two determinants—pruning effectivity and affect on RL convergence—arguing effectiveness rises when the choice house is compact and the efficient horizon is brief.
- RA3 optimizes a sequential variational decrease certain by iteratively discovering temporally constant latent buildings with RL after which fine-tuning on bootstrapped traces (EM-style).
- On code technology, RA3 reviews ~+8 (HumanEval) and ~+4 (MBPP) common go@okay positive aspects over base/NTP mid-training baselines throughout a number of mannequin scales.
- Initializing post-training with RA3 accelerates RLVR convergence and improves asymptotic efficiency on HumanEval+, MBPP+, LiveCodeBench, and Codeforces.
RA3’s contribution is concrete and slim: it formalizes mid-training round two determinants—pruning effectivity and RL convergence—and operationalizes them by way of a temporal ELBO optimized in an EM loop to be taught persistent motion abstractions earlier than RLVR. The researchers report ~+8 (HumanEval) and ~+4 (MBPP) common go@okay positive aspects over base/NTP and sooner RLVR convergence on HumanEval+, MBPP+, LiveCodeBench, and Codeforces.
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