Submodular Benchmark Selection
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Abstract (arXiv)
Evaluating large language models across many benchmarks is expensive, yet many benchmarks are highly correlated. We formalize the selection of a small, informative subset as submodular maximization under a multivariate Gaussian model. Entropy (log-determinant covariance) and mutual information between selected and remaining benchmarks arise as natural objectives. Both are submodular; entropy selection coincides with pivoted Cholesky and has spectral residual bounds, while mutual information is non-monotone in general but empirically monotone for small subsets, so we optimize it greedily. Experiments on three matrices from ten public leaderboards show that mutual information selection outperforms entropy for imputation at small subsets.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). Builds on 32 of its 50 references that are in the map. First posted on arXiv 4 May 2026.
Builds on
32 of 50 references.
References · 32
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- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
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20 more
- 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,848
- 2024HarmBench: A Standardized Evaluation Framework for Automated Red Teaming and Robust Refusalcited by 1,429
- 2023LongBench: A Bilingual, Multitask Benchmark for Long Context Understandingcited by 1,417
- 2024RULER: What's the Real Context Size of Your Long-Context Language Models?cited by 1,346
- 2023Instruction-Following Evaluation for Large Language Modelscited by 1,228
- 2024Chatbot Arena: An Open Platform for Evaluating LLMs by Human Preferencecited by 1,184
- 2024Length-Controlled AlpacaEval: A Simple Way to Debias Automatic Evaluatorscited by 897
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- 2022MTEB: Massive Text Embedding Benchmarkcited by 640
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- 2024tinyBenchmarks: evaluating LLMs with fewer examplescited by 310
- 2024LiveBench: A Challenging, Contamination-Limited LLM Benchmarkcited by 262
- 2024WildBench: Benchmarking LLMs with Challenging Tasks from Real Users in the Wildcited by 218
- 2023MuSR: Testing the Limits of Chain-of-thought with Multistep Soft Reasoningcited by 201
- 2024Lessons from the Trenches on Reproducible Evaluation of Language Modelscited by 179
- 2014Lazier Than Lazy Greedycited by 99
- 2024Do These LLM Benchmarks Agree? Fixing Benchmark Evaluation with BenchBenchcited by 27
- 2024Sloth: scaling laws for LLM skills to predict multi-benchmark performance across familiescited by 24
- 2025One Pipeline, Many Transformers: Pattern-Specific Imputation Specialists for Tabular Missing Datacited by 4
Built on by
Citing papers per year: 2026: 5.
5 papers.
- 2026IHBench: Evaluating Post-Interruption Recovery in Voice Agents with Structured Workflowscited by 5
- 2026EarlyEval: Cheaper Agent Evaluation via Early Outcome Predictioncited by 3
- 2026Complement Submodular Information Measures for Balanced and Robust Data Selectioncited by 0
- 2026Balance of Benchmarks: Semantic Density Reweighting for Task-Conditioned Model Comparisoncited by 0
- 2026MatrixFormer: A Foundation Model for Matrix Completioncited by 0
- 2026MatrixFormer: A Foundation Model for Matrix Completion5 Oct 2026
- 2026EarlyEval: Cheaper Agent Evaluation via Early Outcome Prediction2 Sep 2026
- 2026Balance of Benchmarks: Semantic Density Reweighting for Task-Conditioned Model Comparison30 Aug 2026
- 2026IHBench: Evaluating Post-Interruption Recovery in Voice Agents with Structured Workflows17 Jun 2026
- 2026Complement Submodular Information Measures for Balanced and Robust Data Selection23 May 2026