On the Limits of Test-Time Compute: Sequential Reward Filtering for Better Inference

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Yu, Yue, Di, Qiwei, Gu, Quanquan, Zhou, Dongruo
Formato: Preprint
Publicado: 2025
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866917124631429120
author Yu, Yue
Di, Qiwei
Gu, Quanquan
Zhou, Dongruo
author_facet Yu, Yue
Di, Qiwei
Gu, Quanquan
Zhou, Dongruo
contents Test-time compute (TTC) has become an increasingly prominent paradigm for enhancing large language models (LLMs). Despite the empirical success of methods such as best-of-$n$ (BoN) sampling and sequential revision, their fundamental limits remain unclear. We address this gap by analyzing a mixture-of-reference policy model and proving that standard BoN is inherently suboptimal. To move closer to the optimal frontier, we study reward-filtered sequential inference, a simple procedure that selectively incorporates only high-reward generations into the context. This mechanism concentrates computation on superior policy candidates and suppresses inferior ones. On the theoretical side, we show that reward-filtered sequential inference yields strictly stronger guarantees than standard TTC paradigms. On the empirical side, we evaluate such an inference strategy across diverse benchmarks and observe consistent improvements over widely used approaches, demonstrating the practical effectiveness of our framework.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04558
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Limits of Test-Time Compute: Sequential Reward Filtering for Better Inference
Yu, Yue
Di, Qiwei
Gu, Quanquan
Zhou, Dongruo
Machine Learning
Test-time compute (TTC) has become an increasingly prominent paradigm for enhancing large language models (LLMs). Despite the empirical success of methods such as best-of-$n$ (BoN) sampling and sequential revision, their fundamental limits remain unclear. We address this gap by analyzing a mixture-of-reference policy model and proving that standard BoN is inherently suboptimal. To move closer to the optimal frontier, we study reward-filtered sequential inference, a simple procedure that selectively incorporates only high-reward generations into the context. This mechanism concentrates computation on superior policy candidates and suppresses inferior ones. On the theoretical side, we show that reward-filtered sequential inference yields strictly stronger guarantees than standard TTC paradigms. On the empirical side, we evaluate such an inference strategy across diverse benchmarks and observe consistent improvements over widely used approaches, demonstrating the practical effectiveness of our framework.
title On the Limits of Test-Time Compute: Sequential Reward Filtering for Better Inference
topic Machine Learning
url https://arxiv.org/abs/2512.04558