Lost in Transmission: When and Why LLMs Fail to Reason Globally

Fuente: arXiv
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Autori principali: Schnabel, Tobias, Tomlinson, Kiran, Swaminathan, Adith, Neville, Jennifer
Natura: Preprint
Pubblicazione: 2025
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author Schnabel, Tobias
Tomlinson, Kiran
Swaminathan, Adith
Neville, Jennifer
author_facet Schnabel, Tobias
Tomlinson, Kiran
Swaminathan, Adith
Neville, Jennifer
contents Despite their many successes, transformer-based large language models (LLMs) continue to struggle with tasks that require complex reasoning over large parts of their input. We argue that these failures arise due to capacity limits on the accurate flow of information within LLMs. To formalize this issue, we introduce the bounded attention prefix oracle (BAPO) model, a new computational framework that models bandwidth constraints on attention heads, the mechanism for internal communication in LLMs. We show that several important reasoning problems like graph reachability require high communication bandwidth for BAPOs to solve; we call these problems BAPO-hard. Our experiments corroborate our theoretical predictions: GPT-4o, Claude, and Gemini succeed on BAPO-easy tasks and fail even on relatively small BAPO-hard tasks. BAPOs also reveal another benefit of chain of thought (CoT): we prove that breaking down a task using CoT can turn any BAPO-hard problem into a BAPO-easy one. Our results offer principled explanations for key LLM failures and suggest directions for architectures and inference methods that mitigate bandwidth limits.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08140
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lost in Transmission: When and Why LLMs Fail to Reason Globally
Schnabel, Tobias
Tomlinson, Kiran
Swaminathan, Adith
Neville, Jennifer
Artificial Intelligence
Formal Languages and Automata Theory
Machine Learning
Despite their many successes, transformer-based large language models (LLMs) continue to struggle with tasks that require complex reasoning over large parts of their input. We argue that these failures arise due to capacity limits on the accurate flow of information within LLMs. To formalize this issue, we introduce the bounded attention prefix oracle (BAPO) model, a new computational framework that models bandwidth constraints on attention heads, the mechanism for internal communication in LLMs. We show that several important reasoning problems like graph reachability require high communication bandwidth for BAPOs to solve; we call these problems BAPO-hard. Our experiments corroborate our theoretical predictions: GPT-4o, Claude, and Gemini succeed on BAPO-easy tasks and fail even on relatively small BAPO-hard tasks. BAPOs also reveal another benefit of chain of thought (CoT): we prove that breaking down a task using CoT can turn any BAPO-hard problem into a BAPO-easy one. Our results offer principled explanations for key LLM failures and suggest directions for architectures and inference methods that mitigate bandwidth limits.
title Lost in Transmission: When and Why LLMs Fail to Reason Globally
topic Artificial Intelligence
Formal Languages and Automata Theory
Machine Learning
url https://arxiv.org/abs/2505.08140