---
license: other
tags: [reasoning, chain-of-thought, early-stopping, uncertainty, qwen3]
---

# ICLR 2-action controller — rollout chains

Chain-of-thought rollouts with **counterfactual stopping probes**, for a single-chain
`{continue, terminate}` controller on Qwen3-1.7B (native thinking).

Each JSONL line is one chain:

| field | meaning |
|---|---|
| `qkey`, `rep`, `gold` | question id, chain index, gold answer |
| `outcome` | `natural` \| `length` (budget cut) |
| `answer`, `correct` | the chain's own answer and whether it is right |
| `blocks`, `thinking_tokens` | length of the reasoning |
| `completion_ids` | the full token ids — the CoT itself |
| `block_ends`, `query_points` | block boundaries and the probed prefixes |
| `probes[]` | `{block, prefix_len, forced, forced_tokens}` — the answer the model gives if forced to stop **there** |

Probes are placed at every 4th block. Boxed pools force `</think>\n\n\boxed{` (≤ 32
tokens); code pools force a ```` ```python ```` program (≤ 768 tokens) graded by unit
tests. That makes the value of stopping at any point observable, which is what the
controller is trained and evaluated on.

## Contents

| file | questions × chains | domain |
|---|---|---|
| `chains/math_union_fit.jsonl` | 4 241 × 10 | hard math (DAPO, Numina-hard, DeepScaleR) — training |
| `chains/math_union_select.jsonl` | 1 065 × 10 | same — model selection |
| `chains/math_t1_report.jsonl`, `chains/math_t2_report.jsonl` | 841 / 853 × 10 | sealed math test splits |
| `chains/math_ood_report.jsonl` | 951 × 8 | math OOD (MATH-500, AIME 24/25, OlympiadBench, GaoKao) |
| `chains/code_pool_{fit,select,report}.jsonl` | 891 / 223 / 386 × 8–16 | SYNTHETIC-2-RL code pool |
| `chains/code_ood_pooled.jsonl` | 958 × 8 | HumanEval+, MBPP+, LiveCodeBench ≥ 2024-08 |
| `chains/gpqa_diamond_report.jsonl` | 198 × 8 | GPQA-Diamond as numbered-option MCQ |
| `chains/mixed_{fit,select}.jsonl` | concatenations of the math and code splits |
| `manifests/`, `fire_tables/` | question manifests and cross-fitted π₀ tables |
| `ladders/ladders_json.tar.gz` | full decision-rule sweeps behind every reported table |
| `ASSET_INVENTORY.json` | path → bytes → lines → **sha256** for every file here |

Companion checkpoints: [`JingweiNi/iclr-2action-controller-heads`](https://huggingface.co/JingweiNi/iclr-2action-controller-heads).

## Provenance and reproduction

Code, frozen question manifests, all 70 result tables and the full reproducibility
record live on the branch `archive/iclr-2action-controller-2026-08-30` of the project
repo; see `docs/reproducibility/iclr-2action-controller-assets.md` there. Generation is
seeded by `(qkey, rep, seed)`, so any shard regenerates byte-identically from
`(manifest, commit, seed)`.

GPQA-Diamond questions are derived from the gated `Idavidrein/gpqa` (revision
`633f5ee8…`); this repo redistributes only the model's own rollouts over them, not the
source CSV.