A Four-Stage Decomposition of Word-Problem Solving and Mechanistic Fragility in LLM Math Reasoning

📅 2026-09-15
📈 Citations: 0
Influential: 0
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🤖 AI Summary
研究通过四阶段分解方法解释了大型语言模型在解决数学应用题时的机制及其被干扰项影响的原因,特别是操作规划阶段易受干扰。
📝 Abstract
Large language models solve grade-school math word problems with high accuracy, yet a single irrelevant clause inserted into the problem can collapse it. We reconcile these observations with a mechanistic account. We show that the model's internal computation decomposes into a four-stage sequential pipeline, Schema Abstraction, Operation Planning, Operand Binding, and Computation, each stage producing a distinct intermediate representation in an identifiable band of layers. Using the same scaffold to diagnose distractor-induced failure, we localize the corruption to a single stage, Operation Planning, implemented by a set of attention heads whose causal role we validate bidirectionally. In short, we provide a mechanistic interpretation of math word problem reasoning in LLMs, and their failure when distracted.
Problem

Research questions and friction points this paper is trying to address.

Large language models
math word problems
distractor-induced failure
mechanistic interpretation
internal computation
Innovation

Methods, ideas, or system contributions that make the work stand out.

Schema Abstraction
Operation Planning
Operand Binding
Mechanistic Interpretation
Z
Zhongdi Qu
Cornell University
C
Carla P. Gomes
Cornell University