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Inference-time scaling has emerged as a powerful alternative to parameter scaling for improving language model performance on complex reasoning tasks. While existing methods have shown strong performance gains under fixed compute budgets,…

Artificial Intelligence · Computer Science 2025-05-21 Giannis Chatziveroglou

Despite rapid advancements in large language models (LLMs), the token-level autoregressive nature constrains their complex reasoning capabilities. To enhance LLM reasoning, inference-time techniques, including…

Artificial Intelligence · Computer Science 2026-01-28 Qianyue Hao , Sibo Li , Jian Yuan , Yong Li

Test-time scaling has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models (LLMs) by allocating additional computational resources during inference. However, this paradigm is inherently…

Computation and Language · Computer Science 2025-09-08 Shengyin Sun , Yiming Li , Xing Li , Yingzhao Lian , Weizhe Lin , Hui-Ling Zhen , Zhiyuan Yang , Chen Chen , Xianzhi Yu , Mingxuan Yuan , Chen Ma

Reasoning ability, a core component of human intelligence, continues to pose a significant challenge for Large Language Models (LLMs) in the pursuit of AGI. Although model performance has improved under the training scaling law, significant…

Machine Learning · Computer Science 2026-01-21 Hengli Li , Chenxi Li , Tong Wu , Xuekai Zhu , Yuxuan Wang , Zhaoxin Yu , Eric Hanchen Jiang , Song-Chun Zhu , Zixia Jia , Ying Nian Wu , Zilong Zheng

Recent reasoning models, such as OpenAI's O1 series, have demonstrated exceptional performance on complex reasoning tasks and revealed new test-time scaling laws. Inspired by this, many people have been studying how to train models to…

Computation and Language · Computer Science 2025-06-03 Weizhe Chen , Sven Koenig , Bistra Dilkina

Recent advances in large language models (LLMs) have shown that test-time scaling can substantially improve model performance on complex tasks, particularly in the coding domain. Under this paradigm, models use a larger token budget during…

Artificial Intelligence · Computer Science 2026-04-21 Jiaxin Fang , Runyuan He , Sahil Bhatia , Neel Gajare , Alvin Cheung

Large Reasoning Models (LRMs) excel at multi-step reasoning but often suffer from inefficient reasoning processes like overthinking and overshoot, where excessive or misdirected reasoning increases computational cost and degrades…

Artificial Intelligence · Computer Science 2026-01-19 Qianyue Wang , Jinwu Hu , Yufeng Wang , Huanxiang Lin , Bolin Chen , Zhiquan Wen , Yaofo Chen , Mingkui Tan

Test-time scaling has emerged as a promising paradigm in language modeling, wherein additional computational resources are allocated during inference to enhance model performance. Recent approaches, such as DeepConf, have demonstrated the…

Computation and Language · Computer Science 2025-10-14 Hongwei Chen , Yishu Lei , Dan Zhang , Bo Ke , Danxiang Zhu , Xuyi Chen , Yuxiang Lu , Zhengjie Huang , Shikun Feng , Jingzhou He , Yu Sun , Hua Wu , Haifeng Wang

Large language models (LLMs) achieve strong reasoning performance through chain-of-thought (CoT) reasoning, yet often generate unnecessarily long reasoning paths that incur high inference cost. Recent self-consistency-based approaches…

Computation and Language · Computer Science 2026-03-19 Juming Xiong , Kevin Guo , Congning Ni , Chao Yan , Katherine Brown , Avinash Baidya , Xiang Gao , Bradley Malin , Zhijun Yin

Chain-of-thought (CoT) has emerged as a critical mechanism for enhancing reasoning capabilities in large language models (LLMs), with self-consistency demonstrating notable promise in boosting performance. However, inherent linguistic…

Computation and Language · Computer Science 2025-04-03 Zhiwei Yu , Tuo Li , Changhong Wang , Hui Chen , Lang Zhou

Scaling model size and training data has led to great advances in the performance of Large Language Models (LLMs). However, the diminishing returns of this approach necessitate alternative methods to improve model capabilities, particularly…

Machine Learning · Computer Science 2025-11-05 Daman Arora , Andrea Zanette

In recent years, large language models (LLMs) have witnessed remarkable advancements, with the test-time scaling law consistently enhancing the reasoning capabilities. Through systematic evaluation and exploration of a diverse spectrum of…

Computation and Language · Computer Science 2025-11-03 Chenyang Shao , Sijian Ren , Fengli Xu , Yong Li

Uncertainty calibration is essential for the safe deployment of large language models (LLMs), particularly when users rely on verbalized confidence estimates. While prior work has focused on classifiers or short-form generation, confidence…

Computation and Language · Computer Science 2025-06-05 Chaeyun Jang , Moonseok Choi , Yegon Kim , Hyungi Lee , Juho Lee

Large Language Model (LLM) agents can increasingly automate complex reasoning through Test-Time Scaling (TTS), iterative refinement guided by reward signals. However, many real-world tasks involve multi-stage pipeline whose final outcomes…

Machine Learning · Computer Science 2025-12-30 Shuyu Gan , James Mooney , Pan Hao , Renxiang Wang , Mingyi Hong , Qianwen Wang , Dongyeop Kang

Large language models (LLMs) perform better when they produce step-by-step, "Chain-of-Thought" (CoT) reasoning before answering a question, but it is unclear if the stated reasoning is a faithful explanation of the model's actual reasoning…

Large Language Models (LLMs) have made significant strides in reasoning tasks through methods like chain-of-thought (CoT) reasoning. However, they often fall short in tasks requiring precise computations. Tool-Integrated Reasoning (TIR) has…

Computation and Language · Computer Science 2025-08-22 Yufeng Zhao , Junnan Liu , Hongwei Liu , Dongsheng Zhu , Yuan Shen , Songyang Zhang , Kai Chen

A standard technique for scaling inference-time reasoning is Self-Consistency, whereby multiple candidate answers are sampled from an LLM and the most common answer is selected. More recently, it has been shown that weighted majority voting…

Artificial Intelligence · Computer Science 2026-05-11 James Petullo , Sonny George , Dylan Cashman , Nianwen Xue

Training Large Language Models (LLMs) for chain-of-thought reasoning presents a significant challenge: supervised fine-tuning on a single "golden" rationale hurts generalization as it penalizes equally valid alternatives, whereas…

Computation and Language · Computer Science 2025-11-14 Mingye Zhu , Yi Liu , Zheren Fu , Quan Wang , Yongdong Zhang

Standard chain-of-thought reasoning generates a solution in a single forward pass, committing irrevocably to each token and lacking a mechanism to recover from early errors. We introduce Inference-Time Rethinking, a generative framework…

Computation and Language · Computer Science 2026-02-09 Deqian Kong , Minglu Zhao , Aoyang Qin , Bo Pang , Chenxin Tao , David Hartmann , Edouardo Honig , Dehong Xu , Amit Kumar , Matt Sarte , Chuan Li , Jianwen Xie , Ying Nian Wu

Reasoning-enhanced large language models (LLMs) explicitly generate intermediate reasoning steps prior to generating final answers, helping the model excel in complex problem-solving. In this paper, we demonstrate that this emerging…

Machine Learning · Computer Science 2025-05-22 Tong Wu , Chong Xiang , Jiachen T. Wang , G. Edward Suh , Prateek Mittal
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