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Large Language Models (LLMs) have shown to be effective evaluators across various domains such as machine translations or the scientific domain. Current LLM-as-a-Judge approaches rely mostly on individual assessments or a single round of…

Computation and Language · Computer Science 2025-07-10 Isik Baran Sandan , Tu Anh Dinh , Jan Niehues

Process Reward Models (PRMs) emerge as a promising approach for process supervision in mathematical reasoning of Large Language Models (LLMs), which aim to identify and mitigate intermediate errors in the reasoning processes. However, the…

Computation and Language · Computer Science 2025-06-06 Zhenru Zhang , Chujie Zheng , Yangzhen Wu , Beichen Zhang , Runji Lin , Bowen Yu , Dayiheng Liu , Jingren Zhou , Junyang Lin

Best-of-N (BoN) sampling is a widely used inference-time alignment method for language models, whereby N candidate responses are sampled from a reference model and the one with the highest predicted reward according to a learned reward…

Machine Learning · Computer Science 2026-03-09 Ved Sriraman , Adam Block

Best-of-$n$ (BoN) sampling is a practical approach for aligning language model outputs with human preferences without expensive fine-tuning. BoN sampling is performed by generating $n$ responses to a prompt and then selecting the sample…

Information Theory · Computer Science 2025-05-07 Claudio Mayrink Verdun , Alex Oesterling , Himabindu Lakkaraju , Flavio P. Calmon

Sampling multiple outputs from a Large Language Model (LLM) and selecting the most frequent (Self-consistency) or highest-scoring (Best-of-N) candidate is a popular approach to achieve higher accuracy in tasks with discrete final answers.…

Machine Learning · Computer Science 2025-11-25 Amin Rakhsha , Kanika Madan , Tianyu Zhang , Amir-massoud Farahmand , Amir Khasahmadi

Best-of-N (BoN) sampling with a reward model has been shown to be an effective strategy for aligning Large Language Models (LLMs) with human preferences at the time of decoding. BoN sampling is susceptible to a problem known as reward…

Computation and Language · Computer Science 2025-02-19 Yuki Ichihara , Yuu Jinnai , Tetsuro Morimura , Kaito Ariu , Kenshi Abe , Mitsuki Sakamoto , Eiji Uchibe

Modern preference alignment techniques, such as Best-of-N (BoN) sampling, rely on reward models trained with pairwise comparison data. While effective at learning relative preferences, this paradigm fails to capture a signal of response…

Methodology · Statistics 2025-10-14 Hyung Gyu Rho , Sian Lee

Large language models are often used as judges to score candidate responses, then validated with a single global metric such as correlation with reference labels. This can be misleading when the real deployment task is best-of-n selection…

Machine Learning · Computer Science 2026-03-16 Eddie Landesberg

Obtaining high-quality generations in modern LLMs has largely been framed as a selection problem: identifying a single winning generation from a diverse pool of N samples, the Best-of-N (BoN). Yet, this approach is inherently zero-sum,…

Computation and Language · Computer Science 2025-10-02 Ammar Khairi , Daniel D'souza , Marzieh Fadaee , Julia Kreutzer

LLM inference often generates a batch of candidates for a prompt and selects one via strategies like majority voting or Best-of- N (BoN). For difficult tasks, this single-shot selection often underperforms. Consequently, evaluations…

Machine Learning · Computer Science 2025-10-06 Qiwei Di , Kaixuan Ji , Xuheng Li , Heyang Zhao , Quanquan Gu

Reward models (RMs) are central to aligning large language models, yet their practical effectiveness hinges on generalization to unseen prompts and shifting distributions. Most existing RM evaluations rely on static, pre-annotated…

Computation and Language · Computer Science 2026-01-27 Shunyang Luo , Peibei Cao , Zhihui Zhu , Kehua Feng , Zhihua Wang , Keyan Ding

Generative reward models with parallel sampling have enabled effective test-time scaling for reasoning tasks. Current approaches employ pointwise scoring of individual solutions or pairwise comparisons. However, pointwise methods…

Machine Learning · Computer Science 2025-07-25 Shubham Toshniwal , Ivan Sorokin , Aleksander Ficek , Ivan Moshkov , Igor Gitman

This paper concerns the problem of aligning samples from large language models to human preferences using best-of-$n$ sampling, where we draw $n$ samples, rank them, and return the best one. We consider two fundamental problems. First: what…

Computation and Language · Computer Science 2024-11-05 Lin Gui , Cristina Gârbacea , Victor Veitch

While chain-of-thought prompting with Best-of-N (BoN) selection has become popular for mathematical reasoning in large language models (LLMs), its linear structure fails to capture the branching and exploratory nature of complex…

Machine Learning · Computer Science 2025-10-24 Tristan Cinquin , Geoff Pleiss , Agustinus Kristiadi

Best-of-N selection is a key technique for improving the reasoning performance of Large Language Models (LLMs) through increased test-time computation. Current state-of-the-art methods often employ computationally intensive reward models…

Computation and Language · Computer Science 2025-12-15 Zhewei Kang , Xuandong Zhao , Dawn Song

Best-of-N (BoN) is a popular and effective algorithm for aligning language models to human preferences. The algorithm works as follows: at inference time, N samples are drawn from the language model, and the sample with the highest reward,…

Computation and Language · Computer Science 2025-03-05 Afra Amini , Tim Vieira , Elliott Ash , Ryan Cotterell

Reward models (RMs) guide the alignment of large language models (LLMs), steering them toward behaviors preferred by humans. Evaluating RMs is the key to better aligning LLMs. However, the current evaluation of RMs may not directly…

Computation and Language · Computer Science 2025-04-07 Enyu Zhou , Guodong Zheng , Binghai Wang , Zhiheng Xi , Shihan Dou , Rong Bao , Wei Shen , Limao Xiong , Jessica Fan , Yurong Mou , Rui Zheng , Tao Gui , Qi Zhang , Xuanjing Huang

While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

Computation and Language · Computer Science 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

We introduce Robust Multi-Objective Decoding (RMOD), a novel inference-time algorithm that robustly aligns Large Language Models (LLMs) to multiple human objectives (e.g., instruction-following, helpfulness, safety) by maximizing the…

Machine Learning · Computer Science 2026-02-17 Seongho Son , William Bankes , Sangwoong Yoon , Shyam Sundhar Ramesh , Xiaohang Tang , Ilija Bogunovic

A simple yet effective method for inference-time alignment of generative models is Best-of-$N$ (BoN), where $N$ outcomes are sampled from a reference policy, evaluated using a proxy reward model, and the highest-scoring one is selected.…

Machine Learning · Statistics 2025-07-09 Gholamali Aminian , Idan Shenfeld , Amir R. Asadi , Ahmad Beirami , Youssef Mroueh
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