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This study investigates semantic uncertainty in large language model (LLM) outputs across different decoding methods, focusing on emerging techniques like speculative sampling and chain-of-thought (CoT) decoding. Through experiments on…

Computation and Language · Computer Science 2025-06-24 Darius Foodeei , Simin Fan , Martin Jaggi

We present the surprising finding that a language model's reasoning capabilities can be improved by training on synthetic datasets of chain-of-thought (CoT) traces from more capable models, even when all of those traces lead to an incorrect…

Artificial Intelligence · Computer Science 2026-01-26 Abhranil Chandra , Ayush Agrawal , Arian Hosseini , Sebastian Fischmeister , Rishabh Agarwal , Navin Goyal , Aaron Courville

Current inference scaling methods, such as Self-consistency and Best-of-N, have proven effective in improving the accuracy of LLMs on complex reasoning tasks. However, these methods rely heavily on the quality of candidate responses and are…

Computation and Language · Computer Science 2025-06-17 Bohan Zhang , Xiaokang Zhang , Jing Zhang , Jifan Yu , Sijia Luo , Jie Tang

Chain-of-Thought (CoT) prompting improves reasoning but often produces long and redundant traces that substantially increase inference cost. We present SyncThink, a training-free and plug-and-play decoding method that reduces CoT overhead…

Computation and Language · Computer Science 2026-01-08 Gengyang Li , Wang Cai , Yifeng Gao , Yunfang Wu

Chain-of-thought (CoT) reasoning in large language models (LLMs) can be formalized as a latent variable problem, where the model needs to generate intermediate reasoning steps. While prior approaches such as iterative reward-ranked…

Machine Learning · Computer Science 2025-05-06 Jiarui Yao , Yifan Hao , Hanning Zhang , Hanze Dong , Wei Xiong , Nan Jiang , Tong Zhang

Large language models (LLMs) have shown remarkable reasoning capabilities when trained with chain-of-thought (CoT) supervision. However, the long and verbose CoT traces, especially those distilled from large reasoning models (LRMs) such as…

Machine Learning · Computer Science 2025-06-05 Jinghan Jia , Hadi Reisizadeh , Chongyu Fan , Nathalie Baracaldo , Mingyi Hong , Sijia Liu

We propose CoT-Self-Instruct, a synthetic data generation method that instructs LLMs to first reason and plan via Chain-of-Thought (CoT) based on given seed tasks, and then generate a new synthetic example of similar quality and complexity.…

Artificial Intelligence · Computer Science 2025-09-04 Ping Yu , Jack Lanchantin , Tianlu Wang , Weizhe Yuan , Olga Golovneva , Ilia Kulikov , Sainbayar Sukhbaatar , Jason Weston , Jing Xu

Chain-of-Thought (CoT) prompting can dramatically improve the multi-step reasoning abilities of large language models (LLMs). CoT explicitly encourages the LLM to generate intermediate rationales for solving a problem, by providing a series…

Computation and Language · Computer Science 2023-06-02 Boshi Wang , Sewon Min , Xiang Deng , Jiaming Shen , You Wu , Luke Zettlemoyer , Huan Sun

Modern language models generate chain-of-thought traces by autoregressively sampling tokens from a finite vocabulary. While this discrete sampling has achieved remarkable success, conducting chain-of-thought with continuously-valued tokens…

Machine Learning · Computer Science 2026-03-06 Halil Alperen Gozeten , M. Emrullah Ildiz , Xuechen Zhang , Hrayr Harutyunyan , Ankit Singh Rawat , Samet Oymak

Large language models (LLMs) excel at reasoning tasks but are expensive to deploy. Thus small language models (SLMs) are fine-tuned on CoT data generated by LLMs to copy LLMs' abilities. However, these CoT data may include noisy rationales…

Computation and Language · Computer Science 2025-09-10 Hongyan Xie , Yitong Yao , Yikun Ban , Zixuan Huang , Deqing Wang , Zhenhe Wu , Haoxiang Su , Chao Wang , Shuangyong Song

Chain-of-Thought (CoT) reasoning successfully enhances the reasoning capabilities of Large Language Models (LLMs), yet it incurs substantial computational overhead for inference. Existing CoT compression methods often suffer from a critical…

Machine Learning · Computer Science 2026-05-26 Yuntian Tang , Bohan Jia , Wenxuan Huang , Lianyue Zhang , Jiao Xie , Wenxi Li , Wei Li , Jie Hu , Xinghao Chen Rongrong Ji , Shaohui Lin

Chain-of-thought (CoT) prompting combined with few-shot in-context learning (ICL) has unlocked significant reasoning capabilities in large language models (LLMs). However, ICL with CoT examples is ineffective on novel tasks when the…

Computation and Language · Computer Science 2025-12-08 Vignesh Kothapalli , Ata Fatahibaarzi , Hamed Firooz , Maziar Sanjabi

Large language models (LLMs) excel in complex reasoning tasks, and distilling their reasoning capabilities into smaller models has shown promise. However, we uncover an interesting phenomenon, which we term the Small Model Learnability Gap:…

Artificial Intelligence · Computer Science 2025-11-14 Yuetai Li , Xiang Yue , Zhangchen Xu , Fengqing Jiang , Luyao Niu , Bill Yuchen Lin , Bhaskar Ramasubramanian , Radha Poovendran

Long chain-of-thought (Long-CoT) reasoning improves accuracy in LLMs, yet its verbose, self-reflective style often hinders effective distillation into small language models (SLMs). We revisit Long-CoT compression through the lens of…

Computation and Language · Computer Science 2025-12-25 Shangziqi Zhao , Jiahao Yuan , Jinyang Wu , Zhenglin Wang , Guisong Yang , Usman Naseem

Recently, substantial advancements have been made in training language models to carry out step-by-step reasoning for solving intricate numerical reasoning tasks. Beyond the methods used to solve these problems, the structure and…

Artificial Intelligence · Computer Science 2025-02-19 Yu Zhang , Shujun Peng , Nengwu Wu , Xinhan Lin , Yang Hu , Jie Tang

Requiring a large language model (LLM) to generate intermediary reasoning steps, known as Chain of Thought (CoT), has been shown to be an effective way of boosting performance. Previous approaches have focused on generating multiple…

Computation and Language · Computer Science 2025-05-28 Haritz Puerto , Tilek Chubakov , Xiaodan Zhu , Harish Tayyar Madabushi , Iryna Gurevych

Self-consistency improves reasoning by aggregating diverse stochastic samples, yet the dynamics behind its efficacy remain underexplored. We reframe self-consistency as a dynamic distributional alignment problem, revealing that decoding…

Computation and Language · Computer Science 2025-06-12 Yiwei Li , Ji Zhang , Shaoxiong Feng , Peiwen Yuan , Xinglin Wang , Jiayi Shi , Yueqi Zhang , Chuyi Tan , Boyuan Pan , Yao Hu , Kan Li

Zero-shot Chain-of-Thought (CoT) prompting emerges as a simple and effective strategy for enhancing the performance of large language models (LLMs) in real-world reasoning tasks. Nonetheless, the efficacy of a singular, task-level prompt…

Computation and Language · Computer Science 2024-11-01 Xiaosong Yuan , Chen Shen , Shaotian Yan , Xiaofeng Zhang , Liang Xie , Wenxiao Wang , Renchu Guan , Ying Wang , Jieping Ye

Calibration, which establishes the correlation between accuracy and model confidence, is important for LLM development. We design three off-the-shelf calibration methods based on self-consistency (Wang et al., 2022) for math reasoning…

Computation and Language · Computer Science 2024-03-18 Ante Wang , Linfeng Song , Ye Tian , Baolin Peng , Lifeng Jin , Haitao Mi , Jinsong Su , Dong Yu

While chain-of-thought (CoT) distillation from advanced large language models (LLMs) has proven effective in general reasoning tasks, it struggles in scientific domains where even advanced models often produce incorrect or superficial…

Computation and Language · Computer Science 2025-10-17 Kehua Feng , Keyan Ding , Zhihui Zhu , Lei Liang , Qiang Zhang , Huajun Chen