Skill-Mix: a Flexible and Expandable Family of Evaluations for AI models
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Abstract (arXiv)
With LLMs shifting their role from statistical modeling of language to serving as general-purpose AI agents, how should LLM evaluations change? Arguably, a key ability of an AI agent is to flexibly combine, as needed, the basic skills it has learned. The capability to combine skills plays an important role in (human) pedagogy and also in a paper on emergence phenomena (Arora & Goyal, 2023). This work introduces Skill-Mix, a new evaluation to measure ability to combine skills. Using a list of N skills the evaluator repeatedly picks random subsets of k skills and asks the LLM to produce text combining that subset of skills. Since the number of subsets grows like Nk, for even modest k this evaluation will, with high probability, require the LLM to produce text significantly different from any text in the training set. The paper develops a methodology for (a) designing and administering such an evaluation, and (b) automatic grading (plus spot-checking by humans) of the results using GPT-4 as well as the open LLaMA-2 70B model. Administering a version of to popular chatbots gave results that, while generally in line with prior expectations, contained surprises. Sizeable differences exist among model capabilities that are not captured by their ranking on popular LLM leaderboards ("cramming for the leaderboard"). Furthermore, simple probability calculations indicate that GPT-4's reasonable performance on k=5 is suggestive of going beyond "stochastic parrot" behavior (Bender et al., 2021), i.e., it combines skills in ways that it had not seen during training. We sketch how the methodology can lead to a Skill-Mix based eco-system of open evaluations for AI capabilities of future models.
Key facts. Cited by 64 papers in the map (data through 14 Oct 2026). Builds on 13 of its 37 references that are in the map. First posted on arXiv 26 Oct 2023.
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13 of 37 references.
References · 13
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2023Judging LLM-as-a-Judge with MT-Bench and Chatbot Arenacited by 8,626
- 2021Evaluating Large Language Models Trained on Codecited by 8,320
- 2020Measuring Massive Multitask Language Understandingcited by 7,963
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
- 2021TruthfulQA: Measuring How Models Mimic Human Falsehoodscited by 2,975
- 2020Accelerating Reinforcement Learning with Learned Skill Priorscited by 223
- 2023Skill-it! A Data-Driven Skills Framework for Understanding and Training Language Modelscited by 121
- 2023A Theory for Emergence of Complex Skills in Language Modelscited by 113
- 2022The Goldilocks of Pragmatic Understanding: Fine-Tuning Strategy Matters for Implicature Resolution by LLMscited by 58
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Citing papers per year: 2023: 2; 2024: 20; 2025: 27; 2026: 15.
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- 2024A Percolation Model of Emergence: Analyzing Transformers Trained on a Formal Languagecited by 26
- 2023Compositional Capabilities of Autoregressive Transformers: A Study on Synthetic, Interpretable Taskscited by 22
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- 2026Composition-RL: Compose Your Verifiable Prompts for Reinforcement Learning of Large Language Modelscited by 6
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- 2023Large Language Models' Understanding of Math: Source Criticism and Extrapolationcited by 4
- 2025Adaptively profiling models with task elicitationcited by 4
- 2025Discovering Hierarchical Latent Capabilities of Language Models via Causal Representation Learningcited by 4
- 2026Towards Compositional Generalization of LLMs via Skill Taxonomy Guided Data Synthesiscited by 4
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50 most cited of 64 All 64 (JSON)
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- 2026An Interpretable and Scalable Framework for Evaluating Large Language Models7 May 2026
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- 2026A Theoretical Game of Attacks via Compositional Skills1 May 2026
- 2026The Power of Power Law: Asymmetry Enables Compositional Reasoning24 Apr 2026
- 2026What do Language Models Learn and When? The Implicit Curriculum Hypothesis9 Apr 2026
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- 2026Towards Compositional Generalization of LLMs via Skill Taxonomy Guided Data Synthesis7 Jan 2026
- 2025How Does RL Post-training Induce Skill Composition? A Case Study on Countdown1 Dec 2025
- 2025Auxiliary Metrics Help Decoding Skill Neurons in the Wild26 Nov 2025
- 2025Multimodal LLMs Do Not Compose Skills Optimally Across Modalities11 Nov 2025
- 2025Adversarial D'ej`a Vu: Jailbreak Dictionary Learning for Stronger Generalization to Unseen Attacks24 Oct 2025
- 2025Skill-Targeted Adaptive Training11 Oct 2025
- 2025Whither symbols in the era of advanced neural networks?7 Aug 2025
- 2025Does Data Scaling Lead to Visual Compositional Generalization?9 Jul 2025
- 2025Data Agent: A Holistic Architecture for Orchestrating Data+AI Ecosystems2 Jul 2025
- 2025Discovering Hierarchical Latent Capabilities of Language Models via Causal Representation Learning12 Jun 2025
- 2025Extrapolation by Association: Length Generalization Transfer in Transformers10 Jun 2025
- 2025How Benchmark Prediction from Fewer Data Misses the Mark9 Jun 2025
- 2025NetArena: Dynamic Benchmarks for AI Agents in Network Automation3 Jun 2025
- 2025Circuit Stability Characterizes Language Model Generalization30 May 2025
- 2025A Mathematical Framework for AI-Human Integration in Work29 May 2025
- 2025Learning Composable Chains-of-Thought28 May 2025
- 2025Concealment of Intent: A Game-Theoretic Analysis27 May 2025
- 2025The Role of Diversity in In-Context Learning for Large Language Models26 May 2025
- 2025Understanding Task Representations in Neural Networks via Bayesian Ablation19 May 2025
- 2025In-Context Learning can distort the relationship between sequence likelihoods and biological fitness23 Apr 2025
- 2025MEQA: A Meta-Evaluation Framework for Question & Answer LLM Benchmarks18 Apr 2025
- 2025Self-Reported Confidence of Large Language Models in Gastroenterology: Analysis of Commercial, Open-Source, and Quantized Models24 Mar 2025
- 2025Compute Optimal Scaling of Skills: Knowledge vs Reasoning13 Mar 2025
- 2025Adaptively profiling models with task elicitation3 Mar 2025
- 2025Position: Solve Layerwise Linear Models First to Understand Neural Dynamical Phenomena (Neural Collapse, Emergence, Lazy/Rich Regime, and Grokking)28 Feb 2025
- 2025SPRI: Aligning Large Language Models with Context-Situated Principles5 Feb 2025
- 2025Are Transformers Able to Reason by Connecting Separated Knowledge in Training Data?27 Jan 2025
- 2025A ghost mechanism: An analytical model of abrupt learning in recurrent networks4 Jan 2025
- 2024ONEBench to Test Them All: Sample-Level Benchmarking Over Open-Ended Capabilities9 Dec 2024
- 2024A Lean Dataset for International Math Olympiad: Small Steps towards Writing Math Proofs for Hard Problems28 Nov 2024
- 2024Sparse Mixture-of-Experts for Compositional Generalization: Empirical Evidence and Theoretical Foundations of Optimal Sparsity17 Oct 2024
- 2024Unearthing Skill-Level Insights for Understanding Trade-Offs of Foundation Models17 Oct 2024
- 2024Limits to scalable evaluation at the frontier: LLM as Judge won't beat twice the data17 Oct 2024
- 2024Can LLMs Reliably Simulate Human Learner Actions? A Simulation Authoring Framework for Open-Ended Learning Environments3 Oct 2024
- 2024Can Models Learn Skill Composition from Examples?29 Sep 2024
- 2024ConceptMix: A Compositional Image Generation Benchmark with Controllable Difficulty26 Aug 2024
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- 2024Metacognitive Capabilities of LLMs: An Exploration in Mathematical Problem Solvingcited by 84
- 2024AI-Assisted Generation of Difficult Math Questionscited by 37
- 2025Compute Optimal Scaling of Skills: Knowledge vs Reasoningcited by 11
- 2025How Does RL Post-training Induce Skill Composition? A Case Study on Countdowncited by 6
- 2025Learning Composable Chains-of-Thoughtcited by 3
- 2026Toward Skill-Native LLMs: Skill Entropy for Benchmarking and Training Long-Horizon Reasoningcited by 0
- 2026Toward Skill-Native LLMs: Skill Entropy for Benchmarking and Training Long-Horizon Reasoning5 Aug 2026
- 2025How Does RL Post-training Induce Skill Composition? A Case Study on Countdown1 Dec 2025
- 2025Learning Composable Chains-of-Thought28 May 2025
- 2025Compute Optimal Scaling of Skills: Knowledge vs Reasoning13 Mar 2025
- 2024AI-Assisted Generation of Difficult Math Questions30 Jul 2024
- 2024Metacognitive Capabilities of LLMs: An Exploration in Mathematical Problem Solving20 May 2024
- 2024QuRating: Selecting High-Quality Data for Training Language Modelscited by 157
- 2024Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Lawscited by 144
- 2024Can large language models explore in-context?cited by 76
- 2024ConceptMix: A Compositional Image Generation Benchmark with Controllable Difficultycited by 61
- 2024Limits to scalable evaluation at the frontier: LLM as Judge won't beat twice the datacited by 51
- 2024Training on the Test Task Confounds Evaluation and Emergencecited by 34
- 2025How Benchmark Prediction from Fewer Data Misses the Markcited by 28
- 2024A Percolation Model of Emergence: Analyzing Transformers Trained on a Formal Languagecited by 26
- 2023Compositional Capabilities of Autoregressive Transformers: A Study on Synthetic, Interpretable Taskscited by 22
- 2024MERA: A Comprehensive LLM Evaluation in Russiancited by 22
- 2024Can Models Learn Skill Composition from Examples?cited by 17
- 2024Can LLMs Reliably Simulate Human Learner Actions? A Simulation Authoring Framework for Open-Ended Learning Environmentscited by 17
12 most cited of 46 All 46 (JSON)
- 2026FinCUABuild: Can Agents Build Reliable Benchmarks for Dynamic Financial Computer Use?7 Sep 2026
- 2026Composable Crystals: Controllable Materials Discovery via Concept Learning14 May 2026
- 2026Procedural-skill SFT across capacity tiers: A W-Shaped pre-SFT Trajectory and Regime-Asymmetric Mechanism on 0.8B-4B Qwen3.5 Models12 May 2026
- 2026An Interpretable and Scalable Framework for Evaluating Large Language Models7 May 2026
- 2026Skill Neologisms: Towards Skill-based Continual Learning6 May 2026
- 2026The Power of Power Law: Asymmetry Enables Compositional Reasoning24 Apr 2026
- 2026What do Language Models Learn and When? The Implicit Curriculum Hypothesis9 Apr 2026
- 2026Composition-RL: Compose Your Verifiable Prompts for Reinforcement Learning of Large Language Models12 Feb 2026
- 2026SkillRater: Untangling Capabilities in Multimodal Data12 Feb 2026
- 2025Auxiliary Metrics Help Decoding Skill Neurons in the Wild26 Nov 2025
- 2025Skill-Targeted Adaptive Training11 Oct 2025
- 2025Whither symbols in the era of advanced neural networks?7 Aug 2025
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