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SimpleStrat: Diversifying Language Model Generation with Stratification
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Proposes SimpleStrat, a training-free sampling method that has the LLM auto-stratify the solution space into balanced partitions, estimates stratum probabilities, and samples a stratum before generating, improving answer diversity over temperature scaling; introduces CoverageQA.
Problem
LLM resampling for diverse responses is limited by temperature scaling, which degrades quality and fails to fix mode collapse in next-token probabilities (e.g., over-preferring "California" for "Name a US state").
Approach
Use the LLM itself to propose balanced binary partitions of the solution space (auto-stratification), estimate stratum probabilities via forecasting-style prompts (heuristic estimation), and sample a stratum to augment the prompt before generating (probabilistic prompting), orthogonal to temperature.
Key results
- On CoverageQA, SimpleStrat with GPT-4o improves recall by about 0.05 on CoverageQA-Wikipedia across temperatures (up to 0.2 on Curated).
- Across four Llama 3/3.1 models, SimpleStrat reduces average KL divergence from uniform by 0.36 on CoverageQA-Wikipedia (1.14 on Curated).
- SimpleStrat gives gains even at temperature zero, since diversity comes from prompt sampling rather than temperature.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SimpleStrat sampling | Meta-Llama-3-8B-Instruct · CoverageQA Curated | KL divergence: 2.78 -> 1.74 | Helped |
| Use SimpleStrat sampling | Meta-Llama-3-8B-Instruct · CoverageQA Wikipedia | KL divergence: 2.75 -> 2.47 | Helped |
| Use SimpleStrat sampling | Meta-Llama-3.1-8B-Instruct · CoverageQA Curated | KL divergence: 2.47 -> 1.19 | Helped |
| Use SimpleStrat sampling | Meta-Llama-3.1-8B-Instruct · CoverageQA Wikipedia | KL divergence: 2.60 -> 2.39 | Helped |
| Use SimpleStrat sampling | Meta-Llama-3-70B-Instruct · CoverageQA Curated | KL divergence: 3.24 -> 2.17 | Helped |
| Use SimpleStrat sampling | Meta-Llama-3-70B-Instruct · CoverageQA Wikipedia | KL divergence: 3.28 -> 2.73 | Helped |
| Use SimpleStrat sampling | Meta-Llama-3.1-70B-Instruct · CoverageQA Curated | KL divergence: 2.70 -> 1.54 | Helped |
| Use SimpleStrat sampling | Meta-Llama-3.1-70B-Instruct · CoverageQA Wikipedia | KL divergence: 2.78 -> 2.38 | Helped |
| Use SimpleStrat with GPT-4o instead of baseline sampling | GPT-4o · CoverageQA-Curated | recall: 0.2 increase | Helped |
| Use SimpleStrat with GPT-4o instead of baseline sampling | GPT-4o · CoverageQA-Wikipedia | recall: 0.05 increase | Helped |
Surprising findings
- Larger Llama models showed on average worse diversity (higher KL divergence) than smaller ones, possibly due to memorization.
- Raising temperature to 1.5 still left GPT-4o sampling Lake Huron once and never Lake Ontario in 100 samples.
Limitations
- Effectiveness depends on the model proposing meaningful partitions and accurate joint probability estimates.
- Possible race and gender biases may propagate into auto-stratification and estimation.
- CoverageQA contains only short-answer questions; multi-step reasoning settings not evaluated.
Experimental setup
Datasets: WikiData
Benchmarks: CoverageQA-Curated CoverageQA-Wikipedia
Metrics: recall over 100 samples KL divergence from uniform precision/F1
Baselines: temperature scaling GPT-4o Claude 3.5 Sonnet Llama 3 baseline sampling
Builds on: temperature scaling stratified sampling diverse beam search
Closest papers by meaning
- Improving Diversity in Language Models: When Temperature Fails, Change the Loss (ICML 2025 · similarity 0.88)
- Free Lunch for Pass@$k$? Low Cost Diverse Sampling for Diffusion Language Models (NeurIPS 2026 · similarity 0.88)
- Towards Scalable Data Diversification for Language Model Pretraining via Leverage Score Sampling (NeurIPS 2026 · similarity 0.88)
- Diversity as a Reward: Fine-Tuning LLMs on a Mixture of Domain-Undetermined Data (NeurIPS 2025 · similarity 0.88)
- Less Diverse, Less Safe: The Indirect But Pervasive Risk of Test-Time Scaling in Large Language Models (ICML 2026 · similarity 0.88)
- Prismatic Synthesis: Gradient-based Data Diversification Boosts Generalization in LLM Reasoning (NeurIPS 2025 · similarity 0.88)
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