RP-OPSD: Multilingual reasoning transfer guided by reasoning pivots¶

Core mechanism reproduction. Paper conclusions, local verification and unreproduced scope are separate.

Paper information¶

Field	Details
Paper	RP-OPSD: Reasoning-Pivot-Guided On-Policy Self-Distillation for Multilingual Reasoning Transfer (arXiv 2608.06347)
Institution	Nanjing University / Xinye Wang
First public release	2026-08-06 (arXiv v1)
Author code	Released: NJUNLP/RP-OPSD.
Local adapter or method key	`rp-opsd`
Local reproduction code	`src/auto_research/post_training/`

Original paper summary¶

Background and main changes¶

Surface wording and tokens that change the reasoning state should not receive equal weight in cross-language transfer. RP-OPSD compares matched teacher views with and without an English reference solution, finds pivots by distribution shift, and strengthens privileged distillation there while retaining a reference anchor.

flowchart LR
 A["Student or agent rollout"] --> B["Training objective and teacher views"]
 B --> C["Auditable objective or state update"]
 C --> D["Public mini-suite evaluation"]

Key figure from the paper¶

Figure 2: Overall workflow, stages and data flow. From the paper; copyright belongs to the authors. Click for the source.

Core equations¶

\[ g_t=\operatorname{norm}(|\log\pi_T(\cdot|r)-\log\pi_T(\cdot|\varnothing)|),\quad q_t=(1-g_t)\pi_S+g_t\pi_T^r,\quad \mathcal L=\sum_t\operatorname{CE}(q_t,\pi_S). \]

Offline and online results¶

The paper covers 17 languages and several levels of math difficulty and generally surpasses strong multilingual reasoning baselines and OPSD variants. No production A/B.

Local reproduction¶

Implements reference-conditioned and ablated views, pivot gating and a reference anchor.

Arithmetic candidate suite, 120 steps, seed 42: accuracy 0.2344 → 0.5938 (+153.33%). Diagnostic fields are retained in the pinned metrics.

auto-research post-train --algorithm rp-opsd --dataset arithmetic-smoke --maximum-examples 256 --steps 120 --seed 42
auto-research evolve --model post-training --dataset arithmetic-smoke --direction "组合 rp-opsd 与已安装论文算子" --generations 2 --population 4

See stable batch metrics.

Scope¶

The deterministic public mini-suite checks core state updates at matched budgets, not the paper's large models, multi-GPU RL, private environments or full benchmarks. Local relative changes are not paper gains.