mlsanityData to 7 Oct 2026

Concept Generalization in Humans and Large Language Models: Insights from the Number Game

arXiv 2512.20162 ↗First posted 23 Dec 2025cs.AIcited by 1

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Abstract (arXiv)

We compare human and large language model (LLM) generalization in the number game, a concept inference task. Using a Bayesian model as an analytical framework, we examined the inductive biases and inference strategies of humans and LLMs. The Bayesian model captured human behavior better than LLMs in that humans flexibly infer rule-based and similarity-based concepts, whereas LLMs rely more on mathematical rules. Humans also demonstrated a few-shot generalization, even from a single example, while LLMs required more samples to generalize. These contrasts highlight the fundamental differences in how humans and LLMs infer and generalize mathematical concepts.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 16 of its 25 references that are in the map. First posted on arXiv 23 Dec 2025.

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16 of 25 references.

References · 16

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  3. 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contextscited by 1,582
  4. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
  5. 2022PAL: Program-aided Language Modelscited by 635
  6. 2024GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Modelscited by 533
  7. 2024Better & Faster Large Language Models via Multi-token Predictioncited by 344
  8. 2022Language Models Are Greedy Reasoners: A Systematic Formal Analysis of Chain-of-Thoughtcited by 334
  9. 2024FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AIcited by 227
  10. 2024Evaluating Mathematical Reasoning Beyond Accuracycited by 69
  11. 2023Turning large language models into cognitive modelscited by 66
  12. 2024Number Cookbook: Number Understanding of Language Models and How to Improve Itcited by 41
4 more
  1. 2024MathCoder2: Better Math Reasoning from Continued Pretraining on Model-translated Mathematical Codecited by 39
  2. 2025Dissecting Logical Reasoning in LLMs: A Fine-Grained Evaluation and Supervision Studycited by 17
  3. 2024Benchmarking Large Language Models for Math Reasoning Taskscited by 12
  4. 2025Thinking Machines: Mathematical Reasoning in the Age of LLMscited by 4

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