Estimating the Self-Consistency of LLMs

Fuente: arXiv
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1. Verfasser: Nowak, Robert
Format: Preprint
Veröffentlicht: 2025
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author Nowak, Robert
author_facet Nowak, Robert
contents Systems often repeat the same prompt to large language models (LLMs) and aggregate responses to improve reliability. This short note analyzes an estimator of the self-consistency of LLMs and the tradeoffs it induces under a fixed compute budget $B=mn$, where $m$ is the number of prompts sampled from the task distribution and $n$ is the number of repeated LLM calls per prompt; the resulting analysis favors a rough split $m,n\propto\sqrt{B}$.
format Preprint
id arxiv_https___arxiv_org_abs_2509_19489
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Estimating the Self-Consistency of LLMs
Nowak, Robert
Artificial Intelligence
Systems often repeat the same prompt to large language models (LLMs) and aggregate responses to improve reliability. This short note analyzes an estimator of the self-consistency of LLMs and the tradeoffs it induces under a fixed compute budget $B=mn$, where $m$ is the number of prompts sampled from the task distribution and $n$ is the number of repeated LLM calls per prompt; the resulting analysis favors a rough split $m,n\propto\sqrt{B}$.
title Estimating the Self-Consistency of LLMs
topic Artificial Intelligence
url https://arxiv.org/abs/2509.19489