- Dataset Summary
- Dataset Structure
- File Descriptions
mechanistic/mechanistic_dimensions_all_models.csvqscores/token_efficiency_all_models.csvqscores/qscore_cross_dataset.csvvalidation/validation_framework_original13.csvvalidation/validation_framework_expanded18.csvvalidation/validation_predictions.csvmechanistic/ablation_training_variants.csvframework/dimension_correlations.csv
- Models Covered
- Q-Score Formula
- Key Results Reproducible from This Dataset
Training Quality Determines Efficiency Boundaries in Test-Time Reasoning
💻 Code
Dataset Summary
This dataset contains all mechanistic profiling data, Q-scores, and validation results from the paper "Training Quality Determines Efficiency Boundaries in Test-Time Reasoning". It covers 19 reasoning-specialized language models (1.5B–685B parameters) evaluated across four reasoning benchmarks (GSM8K, BoolQ, ARC-Easy, GPQA).
The central contribution is the Q-score framework — a composite training quality metric computed entirely from inference-time output properties that explains 61.9% of variance in token efficiency (r = +0.787, P = 0.001) across all models, independent of parameter count.
Dataset Structure
dataset/
├── mechanistic/
│ ├── mechanistic_dimensions_all_models.csv # Core mechanistic data — 19 models × 4 datasets
│ └── ablation_training_variants.csv # Qwen2.5-7B training ablation study
├── qscores/
│ ├── token_efficiency_all_models.csv # Q-scores + efficiency metrics — all 19 models
│ └── qscore_cross_dataset.csv # Q-scores per model per dataset (pivot-ready)
├── validation/
│ ├── validation_framework_original13.csv # Train/test split — original 13 models
│ ├── validation_framework_expanded18.csv # Train/test split — expanded 18 models
│ └── validation_predictions.csv # Actual vs. predicted Q-scores
└── framework/
└── dimension_correlations.csv # Pairwise correlations between Q-score dimensions
File Descriptions
mechanistic/mechanistic_dimensions_all_models.csv
The primary mechanistic profiling table. Contains all three observable dimensions extracted from reasoning chains for 19 models across 4 datasets.
| Column | Description |
|---|---|
model_name |
Canonical model name |
params_b |
Parameter count in billions |
model_family |
Model family (DeepSeek, Qwen, GLM, etc.) |
training_method |
Training methodology (Distillation, RL, MCTS, etc.) |
cohort |
original_13 or expanded_18 |
dataset |
Benchmark (gsm8k, boolq, arc-easy, gpqa) |
diversity_delta_pct |
% change in vocabulary type-token ratio (300→max tokens) |
repetition_delta_pct |
% change in bigram repetition rate (300→max tokens) |
self_regulation |
Categorical: Strong / Moderate / Weak |
token_budget_utilization_pct |
% of allocated token budget consumed at max limit |
tokens_per_step |
Mean tokens per reasoning step |
diversity_score |
Normalized [0,1] diversity maintenance score |
regulation_score |
Normalized [0,1] self-regulation score |
decomposition_score |
Normalized [0,1] step decomposition efficiency |
quality_control |
Composite Quality Control dimension (0.5×diversity + 0.5×regulation) |
q_score |
Final Q-score ∈ [0,1] (0.7×quality_control + 0.3×decomposition) |
tier_number |
Quality tier 1–5 |
tier_label |
Excellent / Good / Moderate / Poor / Insufficient |
qscores/token_efficiency_all_models.csv
Summary table linking Q-scores to token efficiency (η) for all 19 models on GSM8K.
| Column | Description |
|---|---|
q_score |
Training quality score |
peak_accuracy_gsm8k |
Best GSM8K accuracy achieved across all token limits |
peak_token_limit |
Token limit at which peak accuracy was achieved |
peak_avg_tokens |
Average tokens generated at peak condition |
efficiency_eta |
η = peak_accuracy / peak_avg_tokens |
qscores/qscore_cross_dataset.csv
Q-scores computed per model per dataset. Use for cross-dataset generalization analysis (Table S8 in the paper). Same 19 models, 4 datasets.
validation/validation_framework_original13.csv
Full mechanistic features + Q-scores for the original 13 models, with
split column indicating train (n=9) or test (n=4) assignment.
validation/validation_framework_expanded18.csv
Same as above but for the expanded 18-model cohort (original 13 + 5 new families: Microsoft, PRIME-RL, Qwen3-8B-Thinking, MiniMax×2).
validation/validation_predictions.csv
Framework validation results: actual Q-scores vs. predicted Q-scores from the held-out test sets. Covers both original (n=4) and expanded (n=10) holdout evaluations.
| Column | Description |
|---|---|
q_score_actual |
Ground-truth Q-score |
q_score_predicted |
Q-score predicted by the framework |
q_score_abs_error |
|actual − predicted| |
tier_correct |
Whether tier assignment was correct |
evaluation_set |
original_13_holdout or expanded_18_holdout |
mechanistic/ablation_training_variants.csv
Four Qwen2.5-7B training ablation variants studied in the paper: Base, Base+AnswerOnly, Base+LengthPenalty, Base+TerminationCalibration.
framework/dimension_correlations.csv
Pairwise Pearson correlations between the three Q-score base dimensions (Diversity, Regulation, Decomposition) on the training set (n=9 models). Justifies consolidating Diversity+Regulation into a single Quality Control dimension.
Models Covered
| Model | Params | Cohort | Q-Score (GSM8K) | Tier |
|---|---|---|---|---|
| Skywork-o1-8B | 8B | original_13 | 0.979 | Excellent |
| Microsoft-Reasoning-4 | 14B | expanded_18 | 0.962 | Excellent |
| QwenQwQ-32B | 32B | original_13 | 0.944 | Excellent |
| DS-R1-70B | 70B | original_13 | 0.906 | Excellent |
| PRIME-RL-Eurus-2-7B | 7B | expanded_18 | 0.896 | Excellent |
| DS-R1-32B | 32B | expanded_18 | 0.868 | Good |
| DS-R1-685B | 685B | original_13 | 0.771 | Moderate |
| Qwen3-32B-O1 | 32B | original_13 | 0.764 | Moderate |
| DS-R1-14B | 14B | original_13 | 0.755 | Moderate |
| MiniMax-M2.5-229B | 229B | expanded_18 | 0.656 | Moderate |
| Nemotron-7B | 7B | original_13 | 0.653 | Moderate |
| GLM-4.5 | 355B (32B active) | original_13 | 0.610 | Moderate |
| Qwen3-8B-Thinking | 8B | expanded_18 | 0.561 | Poor |
| GLM-4.7-355B | 355B (32B active) | original_13 | 0.550 | Poor |
| Kimi2.5-1T | 1T (32B active) | original_13 | 0.540 | Poor |
| DS-R1-7B | 7B | original_13 | 0.512 | Poor |
| MiniMax-2.1-229B | 229B | expanded_18 | 0.465 | Poor |
| Marco-o1-7B | 7B | original_13 | 0.394 | Poor |
| DS-R1-1.5B | 1.5B | original_13 | 0.300 | Insufficient |
Q-Score Formula
Q = 0.7 × Quality_Control + 0.3 × Decomposition_Efficiency
where:
Quality_Control = 0.5 × diversity_score + 0.5 × regulation_score
diversity_score = 1 − |diversity_delta_pct| / 100
regulation_score = 1 − token_budget_utilization_pct / 100
decomposition_score = 1 − norm(tokens_per_step) [min-max, training set]
All three base dimensions are normalized to [0, 1] using min-max scaling on the training set (n=9 models). Test set normalization uses training-set bounds.
Key Results Reproducible from This Dataset
| Paper Claim | File | Column |
|---|---|---|
| Q-score vs. efficiency r = +0.787 | token_efficiency_all_models.csv |
q_score, efficiency_eta |
| 18.8× efficiency gap (Skywork vs. Marco) | token_efficiency_all_models.csv |
rows 0 and 17 |
| 100% tier prediction accuracy (n=10 holdout) | validation_predictions.csv |
tier_correct |
| GSM8K–GPQA r = −0.027 | qscore_cross_dataset.csv |
dataset=gsm8k vs dataset=gpqa |
| Diversity–Regulation r = +0.929 | dimension_correlations.csv |
all rows |
| DeepSeek distillation Q gradient | mechanistic_dimensions_all_models.csv |
family=DeepSeek, dataset=gsm8k |
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