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Answering multiple-choice questions in a setting in which no supporting documents are explicitly provided continues to stand as a core problem in natural language processing. The contribution of this article is two-fold. First, it describes…

Computation and Language · Computer Science 2019-11-15 George-Sebastian Pîrtoacă , Traian Rebedea , Stefan Ruseti

While large language models (LLMs) have rapidly improved their performance on a broad number of tasks, they still often fall short on reasoning tasks. As LLMs become more integrated in diverse real-world tasks, advancing their reasoning…

Computation and Language · Computer Science 2025-01-29 Tim Knappe , Ryan Li , Ayush Chauhan , Kaylee Chhua , Kevin Zhu , Sean O'Brien

Large Language Models often improve accuracy on reasoning tasks by sampling multiple Chain-of-Thought (CoT) traces and aggregating them with majority voting (MV), a test-time technique called self-consistency. When we truncate a CoT partway…

Machine Learning · Statistics 2026-05-11 Naoto Iwase , Yuki Ichihara , Mohammad Atif Quamar , Junpei Komiyama

Large Language Models (LLMs) have achieved impressive performance across various reasoning tasks. However, even state-of-the-art LLMs such as ChatGPT are prone to logical errors during their reasoning processes. Existing solutions, such as…

Computation and Language · Computer Science 2024-03-25 Chi Hu , Yuan Ge , Xiangnan Ma , Hang Cao , Qiang Li , Yonghua Yang , Tong Xiao , Jingbo Zhu

To aggregate rankings into a social ranking, one can use scoring systems such as Plurality, Veto, and Borda. We distinguish three types of methods: ranking by score, ranking by repeatedly choosing a winner that we delete and rank at the…

Computer Science and Game Theory · Computer Science 2022-09-20 Niclas Boehmer , Robert Bredereck , Dominik Peters

Despite the strong reasoning ability of large language models~(LLMs), they are prone to errors and hallucinations. As a result, how to check their outputs effectively and efficiently has become a critical problem in their applications.…

Artificial Intelligence · Computer Science 2025-10-29 Jiayu Liu , Wei Dai , Zhenya Huang , Ning Miao , Enhong Chen

The standard voting methods in the United States, plurality and ranked choice (or instant runoff) voting, are susceptible to significant voting failures. These flaws include Condorcet and majority failures as well as monotonicity and…

General Economics · Economics 2025-01-10 N. Bradley Fox , Benjamin Bruyns

Self-Consistency samples diverse reasoning chains with answers and chooses the final answer by majority voting. It is based on forward reasoning and cannot further improve performance by sampling more reasoning chains when saturated. To…

Computation and Language · Computer Science 2024-06-06 Weisen Jiang , Han Shi , Longhui Yu , Zhengying Liu , Yu Zhang , Zhenguo Li , James T. Kwok

We revisit test-time scaling for language model reasoning and ask a fundamental question: at equal token budget and compute, is it better to run multiple independent chains in parallel, or to run fewer chains that iteratively refine through…

Machine Learning · Computer Science 2025-11-05 Aman Sharma , Paras Chopra

When we use the wisdom of the crowds, we usually rank the answers according to their popularity, especially when we cannot verify the answers. However, this can be very dangerous when the majority make systematic mistakes. A fundamental…

Computer Science and Game Theory · Computer Science 2024-06-10 Yuqing Kong , Yunqi Li , Yubo Zhang , Zhihuan Huang , Jinzhao Wu

Modern systems for multi-hop question answering (QA) typically break questions into a sequence of reasoning steps, termed chain-of-thought (CoT), before arriving at a final answer. Often, multiple chains are sampled and aggregated through a…

Computation and Language · Computer Science 2024-08-05 Ori Yoran , Tomer Wolfson , Ben Bogin , Uri Katz , Daniel Deutch , Jonathan Berant

Chain-of-thought prompting combined with pre-trained large language models has achieved encouraging results on complex reasoning tasks. In this paper, we propose a new decoding strategy, self-consistency, to replace the naive greedy…

Computation and Language · Computer Science 2023-03-08 Xuezhi Wang , Jason Wei , Dale Schuurmans , Quoc Le , Ed Chi , Sharan Narang , Aakanksha Chowdhery , Denny Zhou

Recent successes of reinforcement learning (RL) in training large reasoning models motivate the question of whether self-training - the process where a model learns from its own judgments - can be sustained within RL. In this work, we study…

Machine Learning · Computer Science 2025-10-10 Sheikh Shafayat , Fahim Tajwar , Ruslan Salakhutdinov , Jeff Schneider , Andrea Zanette

Large Language Models (LLMs) have demonstrated amazing capabilities in language generation, text comprehension, and knowledge reasoning. While a single powerful model can already handle multiple tasks, relying on a single perspective can…

Computation and Language · Computer Science 2024-06-12 Zining Qin , Chenhao Wang , Huiling Qin , Weijia Jia

Large language models increasingly rely on explicit reasoning chains and can produce multiple plausible responses for a given context. We study the candidate sampler that produces the set of plausible responses contrasting the ancestral…

Computation and Language · Computer Science 2025-09-23 Sergey Troshin , Irina Saparina , Antske Fokkens , Vlad Niculae

Large Language Models (LLMs) have exhibited an impressive capability to perform reasoning tasks, especially if they are encouraged to generate a sequence of intermediate steps. Reasoning performance can be improved by suitably combining…

Computation and Language · Computer Science 2025-04-11 Soumyasundar Pal , Didier Chételat , Yingxue Zhang , Mark Coates

Best-of-n sampling improves the accuracy of large language models (LLMs) and large reasoning models (LRMs) by generating multiple candidate solutions and selecting the one with the highest reward. The key challenge for reasoning tasks is…

Recently, with the chain of thought (CoT) prompting, large language models (LLMs), e.g., GPT-3, have shown strong reasoning ability in several natural language processing tasks such as arithmetic, commonsense, and logical reasoning.…

Artificial Intelligence · Computer Science 2023-10-20 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Shengping Liu , Bin Sun , Kang Liu , Jun Zhao

Safe deployment of large language models (LLMs) may benefit from a reliable method for assessing their generated content to determine when to abstain or to selectively generate. While likelihood-based metrics such as perplexity are widely…

Computation and Language · Computer Science 2023-12-18 Jie Ren , Yao Zhao , Tu Vu , Peter J. Liu , Balaji Lakshminarayanan

We explore how generating a chain of thought -- a series of intermediate reasoning steps -- significantly improves the ability of large language models to perform complex reasoning. In particular, we show how such reasoning abilities emerge…

Computation and Language · Computer Science 2023-01-12 Jason Wei , Xuezhi Wang , Dale Schuurmans , Maarten Bosma , Brian Ichter , Fei Xia , Ed Chi , Quoc Le , Denny Zhou
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