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Skill-Mix: a Flexible and Expandable Family of Evaluations for AI models

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arxiv 2310.17567 v1 pith:KVMXKZIA submitted 2023-10-26 cs.CL cs.AIcs.LGcs.NE

classification cs.CLcs.AIcs.LGcs.NE
keywords skillscombineevaluationevaluationsskill-mixtextabilityadministering
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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 $N^k$, 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 6 citations worldwide. Full citation record

  1. Toward Skill-Native LLMs: Skill Entropy for Benchmarking and Training Long-Horizon Reasoning

    cs.CL 2026-08 conditional novelty 7.0 of 10

    Skill entropy, a reference-model-based measure of skill-switching difficulty, calibrates a new cross-skill benchmark and serves as an RL reward, more than doubling small models' scores.

  2. Discovering Hierarchical Latent Capabilities of Language Models via Causal Representation Learning

    cs.LG 2025-06 reject novelty 6.0 of 10

    From Open LLM Leaderboard data grouped by base model, the authors recover a three-factor ordering of LLM capabilities and claim instruction-following causally supports math reasoning.

  3. How Benchmark Prediction from Fewer Data Misses the Mark

    cs.LG 2025-06 conditional novelty 6.0 of 10

    Benchmark prediction methods mostly work by interpolation among similar models and fail on better, unfamiliar models, where random sampling with an AIPW-style correction is the only consistent improvement.

  4. Extrapolation by Association: Length Generalization Transfer in Transformers

    cs.CL 2025-06 conditional novelty 5.0 of 10

    Length generalization on a short-trained main task can be inherited from a longer-trained related auxiliary task trained jointly with it.

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