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U-OPSD: On-policy self-distillation without external supervision

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

Paper information

Field Details
Paper On-Policy Self-Distillation without Any Supervision (arXiv 2608.06296)
Institution University of California, San Diego / Georgia Institute of Technology / University of Maryland / ByteDance
First public release 2026-08-06 (arXiv v1)
Author code No released official code found on 2026-08-08.
Local adapter or method key u-opsd
Local reproduction code src/auto_research/post_training/

Original paper summary

Background and main changes

U-OPSD uses no answers, environment rewards or larger teacher. Sample repeatedly, majority-vote, and use the shortest agreeing solution as a privileged view to repair the longest high-confidence wrong trajectory. Self-distillation relies on internal consistency.

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

u-opsd Figure 2

Figure 2: Overall design and components. From the paper; copyright belongs to the authors. Click for the source.

Core equations

\[ \hat y=\operatorname{mode}\{y^{(k)}\}_{k=1}^K,\quad c=K^{-1}\sum_k\mathbf1[y^{(k)}=\hat y],\quad \mathcal L=\mathbf1[c\ge\tau]\operatorname{KL}(\pi(\cdot|x,\hat y)\Vert\pi(\cdot|x)). \]

Offline and online results

Non-thinking Qwen3 4B/8B gain 8.5/10.7 points over base and 3.2/2.3 points over OPSD on average. No production A/B.

Local reproduction

Implements multi-rollout self-consistency voting, confidence gating and a gold-free pseudo-teacher. The unsupervised assumption does not hold in the arithmetic mini-suite, so the regression is retained.

Arithmetic candidate suite, 120 steps, seed 42: accuracy 0.2344 → 0.0938 (-60.00%). Diagnostic fields are in pinned metrics.

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

See stable batch metrics.

Scope

The deterministic public mini-suite verifies core state updates at matched budgets, not paper-scale models, multi-GPU RL, private environments or full benchmarks. Local changes are not paper gains.