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Unveiling the Learning Mind of Language Models: A Cognitive Framework and Empirical Study

NeurIPS 2025 · Large language models › Agents, code and math · approach: Mathematical and structural reasoning benchmarks

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Proposes a cognitive framework decomposing LLM learning into learning from instructor, concept, and experience, runs empirical studies on each, and releases the LearnArena benchmark built on TextArena games.

Problem

LLMs' general learning ability (acquiring and generalizing new knowledge from guidance, concepts, and experience) is underexplored compared with their static task performance.

Approach

Decomposes learning into three cognitively motivated dimensions (instructor, concept, experience), operationalizes each with targeted experiments (tutor-learner clarification, concept injection in TextArena games, in-context experience), and consolidates them into a multi-environment benchmark (LearnArena).

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
allow one clarification question after each instructor response instead of passive solution consumptionlearner models trained from matched instructors · Eight math benchmarksperformanceHelped
increase learner size from Qwen2.5-1.5B to Qwen2.5-32BQwen2.5 learner trained by Qwen2.5-72B · Eight math benchmarksnormalized learning gain: +25.7% and +23.8% normalized improvement; +18.2% and +16.8%Helped
use interactive clarification rather than passive instructionQwen2.5-1.5B learner · GSM8K and SATnormalized improvement: +5.0% and +3.5%; +3.8% and +2.8%Helped
use interactive clarification from a very small Qwen2.5-1.5B instructor rather than passive instructionQwen2.5-7B learner · GSM8K, MATH, and SATperformanceHurt
add static conceptual hintsQwen2.5-7B · LogicGridaccuracy: 0.36 -> 0.42Helped
add static conceptual hintsQwen2.5-72B · LogicGridaccuracy: 0.54 -> 0.57Helped
add static conceptual hintsQwen2.5-7B · Planaccuracy: 0.14 -> 0.17Helped
add static conceptual hintsQwen2.5-1.5B · TextArena competitive environmentswin rateHurt
include prior game trajectories as in-context experienceQwen2.5-1.5B · Checkerswin rate: 0.30 -> 0.11Hurt
include prior game trajectories as in-context experienceQwen2.5-1.5B · Strategowin rate: 0.45 -> 0.20Hurt
include prior game trajectories as in-context experienceQwen2.5-32B · Strategowin rate: 0.6 to 0.8Helped
include prior game trajectories as in-context experienceQwen2.5-32B · Truth and Deceptionwin rate: 0.6 to 0.9Helped

Surprising findings

Limitations

Experimental setup

Datasets: MagpieMath GSM8K SVAMP MATH NumGLUE SimulEq AQuA SAT MMLU-Math TextArena Intlaw Willidea

Benchmarks: LearnArena GSM8K SVAMP MATH NumGLUE SimulEq AQuA SAT MMLU-Math TextArena

Metrics: accuracy win rate normalized accuracy

Baselines: GPT-4o GPT-4o-mini Llama-3.1-8B-Instruct Mistral-7B-Instruct-v0.3 Qwen2.5-32B-Instruct

Builds on: TextArena Magpie LlamaFactory

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