---
title: 'CHIMERA: Synthetic Reasoning Dataset for LLMs'
url: https://www.emergentmind.com/topics/chimera-reasoning-dataset-for-llms
type: topic
---

# CHIMERA: Synthetic Reasoning Dataset for LLMs

CHIMERA is a compact, synthetic reasoning dataset designed to advance generalizable, cross-domain reasoning in large language models (LLMs). Comprising 9,225 samples, each with long-form chain-of-thought (CoT) trajectories, it addresses major data-centric challenges such as the cold-start problem in seed data, limited subject coverage in existing open datasets, and the annotation bottleneck for high-level reasoning. Its pipeline is fully automated, leveraging multiple state-of-the-art LLMs for generation, validation, and verification, with no human annotation. Despite its modest size, CHIMERA effectively boosts the reasoning capabilities of 4B-parameter models to levels close to models two orders of magnitude larger, as evidenced by strong benchmark results [2603.00889].

## 1. Synthetic Dataset Construction Pipeline

CHIMERA’s generation process consists of a fully automated three-stage pipeline, with all stages handled by LLM APIs. The pipeline executes as follows:

### Pipeline Stages

1. **Subject Expansion:** Starting from 8 coarse-grained disciplines (Mathematics, Physics, Chemistry, Biology, Computer Science, Literature, History, Linguistics), gpt-5 expands each subject into 1,179 unique, fine-grained topics using prompt-based sampling.
2. **Problem Generation:** For each topic, gpt-5 is prompted to generate PhD-level problems and reference answers. Each (question, answer) pair is string-deduplicated.
3. **Solution Synthesis:** Qwen3-235B-A22B-Thinking-2507 generates detailed CoT solutions. Validation is performed by two independent LLMs (gpt-5, o4-mini), filtering for well-posedness and correctness.

### Algorithmic Specification

The formal synthesis pipeline is represented in the following pseudocode (Algorithm 1):

```
Algorithm 1: CHIMERA Data Synthesis Pipeline
Inputs:
  Seed subjects S = {s_1,…,s_m}
  Samples per topic n
  Expander   E (gpt-5)
  Generator  G (gpt-5)
  Validator  V (gpt-5 + o4-mini)
  Verifier   C (o4-mini)
  Reasoner   R (Qwen3-235B-Thinking)
Output:
  Dataset D_Chimera

1. D ← ∅
2. For each subject s in S:
3.   T_s ← unique(E(s))                # Subject expansion
4. For each s in S:
5.   For each topic t in T_s:
6.     Repeat j = 1…n:
7.       (q,a) ← G(t)
8.       if not V(q,a) then continue    # discard ill-posed
9.       r ← R(q)                       # CoT synthesis
10.      y ← C(q,a,r)                   # 1=correct,0=wrong
11.      D ← D ∪ {(s,t,q,a,r,y)}
12. return D
```

A two-level taxonomy is generated entirely by LLM prompts. No external clustering or manual curation is performed.

## 2. Dataset Structure and Characteristics

CHIMERA’s architecture embodies three central properties: rich chain-of-thought trajectories, broad and structured subject coverage, and rigorous, fully-automated quality control.

### Chain-of-Thought Depth

- **Solution length:** Mean 11,121 tokens per solution (substantially longer than GSM8K's 205 words).
- **Prompt length:** Average 211 words, supporting extended multi-step reasoning processes.

### Domain Coverage

- **Disciplines:** 8 high-level fields.
- **Topics:** 1,179 fine-grained model-generated topics.
- **Distribution:** Mathematics constitutes 48.3% of the data.

### Data Format

All records adhere to a standardized JSON schema:
```json
{
  "subject":  "Physics",
  "topic":    "Topological Quantum Field Theory",
  "problem":  "<string>",
  "cot":      ["Step 1: …", "Step 2: …", …],
  "answer":   "<string>",
  "correct":  true
}
```

#### Comparative Dataset Metrics

| Dataset      | #Problems | Subjects | Prompt Len | Solu. Len |
|--------------|-----------|----------|------------|-----------|
| GSM8K        | 7,473     | 1        | 45.1       | 51.7      |
| MATH         | 7,500     | 1        | 33.0       | 89.5      |
| OpenScience  | 315,579   | —        | 76.1       | 1,296.8   |
| **CHIMERA**  | 9,225     | 8        | 211.1      | 11,121.4  |

Quality control is enforced strictly through consensus of LLM validators and verifiers.

## 3. Automated Quality Assurance and Contamination Control

Validation and verification of all entries in CHIMERA are performed via an LLM-based cross-model protocol:

- **Problem validity:** Both gpt-5 and o4-mini verdicts of "VALID" are mandatory.
- **Solution correctness:** o4-mini serves as the answer extractor and judge, flagging "correct: yes/no."
- **Sample retention:** Only samples with dual VALID validation and correct CoT pass the filters; otherwise, they are discarded or reserved for RL training.

Mathematically, the filter is:
\[
\text{Keep sample} \iff V_{\mathrm{gpt5}}(q,a)=\text{VALID} \wedge V_{\mathrm{o4}}(q,a)=\text{VALID} \wedge C_{\mathrm{o4}}(q,a,r)=\text{yes}.
\]

Contamination is assessed using Jaccard n-gram overlap scores:
\[
\mathrm{Score}_n = \frac{1}{|\mathcal{T}|} \sum_{t_i\in\mathcal{T}} \max_{s\in\mathcal{S}} \frac{|G_n(t_i)\cap G_n(s)|}{|G_n(t_i)\cup G_n(s)|},
\]
where $G_n(\cdot)$ extracts distinct $n$-grams. Overlap with major public benchmarks is essentially zero.

## 4. Model Post-Training and Empirical Performance

CHIMERA is applied to post-train Qwen3-4B-Thinking-2507 in two stages:

- **A) Supervised Fine-Tuning (SFT):**
  - All samples with $y=1$
  - Batch size 256, learning rate $1 \times 10^{-5}$, $\sim$5K steps to convergence

- **B) Reinforcement Learning (CISPO protocol):**
  - One epoch mixing SFT set and unsolved problems
  - Batch size 256, learning rate $1 \times 10^{-6}$, 8 rollouts per prompt
  - Reward signal from o4-mini

**Evaluation settings:** Decoding at temperature 0.6, top-p 0.95, top-k 20, sampling $k$ solutions per prompt, reporting pass@$1$.

### Benchmark Performance

| Model                          | Params | GPQA | AIME24 | AIME25 | AIME26 | HMMT25 | HMMTNov | HLE  |
|---------------------------------|--------|------|--------|--------|--------|--------|---------|------|
| Qwen3-4B-Thinking-2507          | 4B     | 65.8 | 81.6   | 81.0   | 80.8   | 59.2   | 57.3    | 7.3  |
| + OpenScience SFT               | 4B     | 53.5 | 61.7   | 53.3   | 53.0   | 40.0   | 36.9    | 4.6  |
| **+ CHIMERA (SFT+RL)**          | 4B     | 70.1 | 86.9   | 80.7   | 82.7   | 65.7   | 67.0    | 9.0  |
| DeepSeek-R1                     | 671B   | 81.0 | 91.4   | 87.5   | —      | 79.4   | —       | 17.7 |
| Qwen3-235B-A22B-Thinking        | 235B   | 81.1 | —      | 92.3   | —      | 83.9   | —       | 18.2 |

Key observations:
- CHIMERA SFT alone yields improvements of up to +9.7 percentage points on held-out reasoning tasks.
- SFT on OpenScience degrades performance, plausibly due to mismatched problem formats.
- CHIMERA enables a 4B-parameter model to approach, and in some cases match, the performance of models up to 235B parameters on advanced benchmarks.

## 5. Analysis, Data Quality, and Future Prospects

### Difficulty Gradient

Base Qwen3-4B achieves 88% on other synthetic sets (DAPO-Math-17K, DeepMath-103K, OpenScience) but only 37.5% on CHIMERA, indicating high intrinsic difficulty and significant learning capacity required.

### Quality Assessment

Blind ranking by o4-mini and gemini-2.5-pro (200-sample comparison) shows LLM-generated problems in CHIMERA are, on average, superior to human-authored Humanity’s Last Exam samples in clarity, difficulty, and solvability.

### Known Limitations

- **Imbalanced subject representation:** Mathematics constitutes nearly half of the dataset.
- **Problem format:** Exclusively free-response; no multiple-choice or multimodal content.
- **Automated validation only:** Minor error detection failures may persist, as no human validation is performed.

### Planned Directions

Proposed enhancements include:
- Subject expansion to social sciences, engineering, and interdisciplinary areas
- Human-in-the-loop annotation for sparse subfields
- Inclusion of adversarial “hard negatives” for robustness
- Hierarchical curriculum structures
- Release of subject–topic embeddings to facilitate further research and cluster analysis

CHIMERA demonstrates that a compact synthetic dataset, coupled with rigorous LLM-driven filtering and long-form reasoning supervision, suffices to bootstrap robust reasoning capacities in mid-scale LLMs, yielding performance that rivals much larger contemporaries [2603.00889].

Source: https://www.emergentmind.com/topics/chimera-reasoning-dataset-for-llms