01 · QUESTIONarXiv:2608.01589 · 2026-08-03

比 full solution 更好的 PI,会不会是 problem structure?

PS-OPSD 用 state、goal、constraints 与 transitions 替代完整推理。

64.32

4B

65.40

8B

0.5%

train PI invocation

8/10

个人兴趣

来源:Abstract;Tables 1-51 / 9
02 · STRUCTUREarXiv:2608.01589 · 2026-08-03

四字段把 reference trace 改写成可行动约束

Initial

已知状态

Goal

成功条件

Constraints

规则边界

Transitions

operator + preconditions + result

来源:Method section2 / 9
03 · PROTOCOLarXiv:2608.01589 · 2026-08-03

Student rollout 不变,只替换 teacher context

1Question

student only

2Rollout

current policy

3Guidance

teacher only

4Rescore

same tokens

5Forward KL

full vocabulary

来源:Algorithm 13 / 9
04 · EXTRACTORarXiv:2608.01589 · 2026-08-03

Guidance 由 35B-A3B model 从 verified solution 提取

保留

problem dynamics 与 selected path

删除

instantiated final answer

来源:data construction4 / 9
05 · ABLATIONarXiv:2608.01589 · 2026-08-03

长度、相关性与顺序分别有贡献

4B conditionAvg
Wrong-task matched length61.76
Corrupted order62.19
Flattened fields63.61
PS-OPSD64.32
根据 ablation table 重绘5 / 9
06 · RESULTarXiv:2608.01589 · 2026-08-03

三个 scale 都高于 OPSD

ScaleBaseOPSDPS-OPSD
1.7B36.6741.0843.12
4B61.7661.7064.32
8B62.3163.5865.40
根据 main table 重绘6 / 9
07 · GAME MAParXiv:2608.01589 · 2026-08-03

把 game project 写成 implementation-neutral contract

Assets/State

initial

Tests/Goals

success

Engine/API

constraints

Plan

transitions

本文 game context 映射7 / 9
08 · MISSINGarXiv:2608.01589 · 2026-08-03

关键 setting 与 code 未公开

Paper 有

method、results、controls

Release 缺

repo、manifest、exact hyperparameters

2026-10-08 artifact check8 / 9
09 · VERDICTarXiv:2608.01589 · 2026-08-03

适合定义 context,不足以定义 state compatibility

来自一条 reference path 的 transition 仍可能不适配 student 当前 build。

兴趣程度 8/109 / 9