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Training Quality Determines Efficiency Boundaries in Test-Time Reasoning

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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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