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Select Smarter, Not More? Prompt-Aware Evaluation Scheduling with Submodular Guarantees
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Proposes POES, an online, prompt-aware evaluation-subset scheduler for automatic prompt optimization that combines IRT-based discrimination, facility-location coverage, and switching-cost-aware warm-start swaps under a monotone submodular objective.
Problem
Automatic prompt optimization scores candidates on small evaluation subsets, but existing subset selection is either static and prompt-agnostic or heuristic and unstable; the paper asks how the evaluation subset should evolve during optimization.
Approach
Casts APO evaluation as online adaptive testing: select training examples that best discriminate the top two prompts (IRT 1PL-based KL utility), add facility-location coverage, and update the subset by bounded warm-start swaps under an adaptive controller, with a submodularity-based guarantee.
Key results
- POES achieves the highest overall average accuracy (0.882 across 36 tasks, +6.2% over best baseline) and the most rank-1 results (14 of 36 tasks).
- At k=20, POES matches or exceeds naive evaluation at k=30-50 while reducing token consumption by 35-60%.
- At k=10, POES (478K tokens) matches mean accuracy of baselines at k=20 (727K tokens), a 34% token reduction.
Surprising findings
- Naive evaluation at larger subset size does not improve accuracy; k=30 is only marginally better than k=20 while costing substantially more tokens.
- The simpler 1PL IRT model outperforms 2PL by 2.3pp on average, attributed to overfitting with limited observations.
Limitations
- Theoretical analysis covers only the scheduling layer; no end-to-end APO convergence guarantee.
- Evaluated on binary-scored tasks with about 200 training examples; scaling to larger pools and non-binary generation tasks is untested.
- Gains are smaller when all prompts already perform similarly.
Experimental setup
Datasets: BBH BigBench-IPOMP MMLU GSM8K GSM-Hard MATH MultiArith
Benchmarks: BBH BigBench-IPOMP MMLU GSM8K GSM-Hard MATH MultiArith
Metrics: accuracy mean rank token consumption wall-clock time
Baselines: Random SESS IPOMP Anchor Prediction
Builds on: OPRO EvoPrompt IPOMP SESS
Closest papers by meaning
- Teach Better or Show Smarter? On Instructions and Exemplars in Automatic Prompt Optimization (NeurIPS 2024 · similarity 0.88)
- Efficient multi-prompt evaluation of LLMs (NeurIPS 2024 · similarity 0.86)
- Revisiting Prefix-tuning: Statistical Benefits of Reparameterization among Prompts (ICLR 2025 · similarity 0.85)
- DynaPrompt: Dynamic Test-Time Prompt Tuning (ICLR 2025 · similarity 0.85)
- GReaTer: Gradients Over Reasoning Makes Smaller Language Models Strong Prompt Optimizers (ICLR 2025 · similarity 0.85)
- SePO: Self-Evolving Prompt Agent for System Prompt Optimization (NeurIPS 2026 · similarity 0.85)
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