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Chain-of-thought (CoT) distillation allows a large language model (LLM) to guide a small language model (SLM) in reasoning tasks. Existing methods train the SLM to learn the long rationale in one iteration, resulting in two issues: 1) Long…

Computation and Language · Computer Science 2025-05-27 Xiao Chen , Sihang Zhou , Ke Liang , Xiaoyu Sun , Xinwang Liu

Although chain-of-thought (CoT) prompting combined with language models has achieved encouraging results on complex reasoning tasks, the naive greedy decoding used in CoT prompting usually causes the repetitiveness and local optimality. To…

Computation and Language · Computer Science 2024-05-27 Lei Lin , Jiayi Fu , Pengli Liu , Qingyang Li , Yan Gong , Junchen Wan , Fuzheng Zhang , Zhongyuan Wang , Di Zhang , Kun Gai

Program-of-Thought (PoT), which aims to use programming language instead of natural language as an intermediate step in reasoning, is an important way for LLMs to solve mathematical problems. Since different programming languages excel in…

Computation and Language · Computer Science 2024-12-18 Nianqi Li , Zujie Liang , Siyu Yuan , Jiaqing Liang , Feng Wei , Yanghua Xiao

While large language models (LLMs) have demonstrated remarkable success on a broad range of tasks, math reasoning remains a challenging one. One of the approaches for improving math reasoning is self-correction, which designs self-improving…

Artificial Intelligence · Computer Science 2025-06-10 Xutong Zhao , Tengyu Xu , Xuewei Wang , Zhengxing Chen , Di Jin , Liang Tan , Yen-Ting , Zishun Yu , Zhuokai Zhao , Yun He , Sinong Wang , Han Fang , Sarath Chandar , Chen Zhu

Test-time scaling seeks to improve the reasoning performance of large language models (LLMs) by adding computational resources. A prevalent approach within the field is sampling-based test-time scaling methods, which enhance reasoning by…

Machine Learning · Computer Science 2025-10-20 Zhi Zhou , Yuhao Tan , Zenan Li , Yuan Yao , Lan-Zhe Guo , Yu-Feng Li , Xiaoxing Ma

Step-by-step reasoning approaches like chain of thought (CoT) have proved to be very effective in inducing reasoning capabilities in large language models. However, the success of the CoT approach is fundamentally tied to the model size,…

Machine Learning · Computer Science 2023-05-19 Kumar Shridhar , Alessandro Stolfo , Mrinmaya Sachan

Scaling test-time compute brings substantial performance gains for large language models (LLMs). By sampling multiple answers and heuristically aggregate their answers (e.g., either through majority voting or using verifiers to rank the…

Computation and Language · Computer Science 2025-10-13 Jianing Qi , Xi Ye , Hao Tang , Zhigang Zhu , Eunsol Choi

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

Chain-of-thought (CoT) prompting has demonstrated the capacity of large language models to perform complex reasoning through intermediate steps. While effective, current CoT methods face challenges: Zero-shot-CoT can lead to reasoning…

Computation and Language · Computer Science 2025-02-12 Ziqi Jin , Wei Lu

Multi-step reasoning is essential for large language models (LLMs), yet multilingual performance remains challenging. While Chain-of-Thought (CoT) prompting improves reasoning, it struggles with non-English languages due to the entanglement…

While Chain-of-Thought (CoT) reasoning improves model performance, it incurs significant time costs due to the generation of discrete CoT tokens (DCoT). Continuous CoT (CCoT) offers a more efficient alternative, but existing CCoT methods…

Computation and Language · Computer Science 2025-08-04 Jianwei Wang , Ziming Wu , Fuming Lai , Shaobing Lian , Ziqian Zeng

Large Language Models (LLMs) solve many reasoning tasks via chain-of-thought (CoT) prompting, but smaller models (about 7 to 8B parameters) still struggle with multi-step reasoning under tight compute and token budgets. Existing test time…

Computation and Language · Computer Science 2026-04-29 Sagnik Chatterjee , Atharva Patil , Sricharan Ramesh

Recent advancements in large language models (LLMs) have demonstrated their impressive abilities in various reasoning and decision-making tasks. However, the quality and coherence of the reasoning process can still benefit from enhanced…

Computation and Language · Computer Science 2025-01-24 Shihao Ji , Zihui Song , Fucheng Zhong , Jisen Jia , Zhaobo Wu , Zheyi Cao , Tianhao Xu

Chain-of-Thought (CoT) reasoning empowers Large Language Models (LLMs) with remarkable capabilities but typically requires prohibitive parameter scales. CoT distillation has emerged as a promising paradigm to transfer reasoning prowess into…

Computation and Language · Computer Science 2026-05-19 Jin Cui , Jiaqi Guo , Ruixuan Yang , Jiayi Lu , Jiepeng Zhou , Jiajun Xu , Jiangcheng Song , Boran Zhao , Pengju Ren

Chain-of-thought (CoT) is a method that enables language models to handle complex reasoning tasks by decomposing them into simpler steps. Despite its success, the underlying mechanics of CoT are not yet fully understood. In an attempt to…

Machine Learning · Computer Science 2023-11-09 Yingcong Li , Kartik Sreenivasan , Angeliki Giannou , Dimitris Papailiopoulos , Samet Oymak

Inference-time scaling techniques have significantly bolstered the reasoning capabilities of large language models (LLMs) by harnessing additional computational effort at inference without retraining. Similarly, Chain-of-Thought (CoT)…

Machine Learning · Computer Science 2025-06-19 Baohao Liao , Hanze Dong , Yuhui Xu , Doyen Sahoo , Christof Monz , Junnan Li , Caiming Xiong

Modern large language models (LLMs) have demonstrated impressive capabilities at sophisticated tasks, often through step-by-step reasoning similar to humans. This is made possible by their strong few and zero-shot abilities -- they can…

Computation and Language · Computer Science 2023-05-24 Xingchen Wan , Ruoxi Sun , Hanjun Dai , Sercan O. Arik , Tomas Pfister

Compressing long chain-of-thought (CoT) from large language models (LLMs) is an emerging strategy to improve the reasoning efficiency of LLMs. Despite its promising benefits, existing studies equally compress all thoughts within a long CoT,…

Computation and Language · Computer Science 2025-05-27 Yansong Ning , Wei Li , Jun Fang , Naiqiang Tan , Hao Liu

Chain-of-thought (CoT) is capable of eliciting models to explicitly generate reasoning paths, thus promoting reasoning accuracy and attracting increasing attention. Specifically, zero-shot CoT achieves remarkable improvements in a wide…

Computation and Language · Computer Science 2023-10-24 Libo Qin , Qiguang Chen , Fuxuan Wei , Shijue Huang , Wanxiang Che

The advancement of Large Language Models (LLMs) has brought substantial attention to the Chain of Thought (CoT) approach, primarily due to its ability to enhance the capability of LLMs on complex reasoning tasks. Moreover, the significance…

Computation and Language · Computer Science 2024-03-05 Bingshuai Liu , Chenyang Lyu , Zijun Min , Zhanyu Wang , Jinsong Su , Longyue Wang