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Large Language Models (LLMs) have demonstrated remarkable capabilities in complex reasoning tasks, yet generating reliable reasoning processes remains a significant challenge. We present a unified probabilistic framework that formalizes LLM…

Large language models (LLMs) can achieve highly effective performance on various reasoning tasks by incorporating step-by-step chain-of-thought (CoT) prompting as demonstrations. However, the reasoning chains of demonstrations generated by…

Computation and Language · Computer Science 2024-03-18 Jiashuo Sun , Yi Luo , Yeyun Gong , Chen Lin , Yelong Shen , Jian Guo , Nan Duan

Compute scaling for language model (LM) pretraining has outpaced the growth of human-written texts, leading to concerns that data will become the bottleneck to LM scaling. To continue scaling pretraining in this data-constrained regime, we…

Machine Learning · Computer Science 2025-09-30 Yangjun Ruan , Neil Band , Chris J. Maddison , Tatsunori Hashimoto

Recent advancements in large language models (LLMs) have demonstrated that progressive refinement, rather than providing a single answer, results in more accurate and thoughtful outputs. However, existing methods often rely heavily on…

Computation and Language · Computer Science 2024-10-18 Chengyu Du , Jinyi Han , Yizhou Ying , Aili Chen , Qianyu He , Haokun Zhao , Sirui Xia , Haoran Guo , Jiaqing Liang , Zulong Chen , Liangyue Li , Yanghua Xiao

Reasoning in Large Language Models (LLMs) often suffers from inefficient long chain-of-thought traces with redundant self-exploration and validation, which inflate computational costs and even degrade performance. Inspired by human…

Artificial Intelligence · Computer Science 2026-02-17 Qianyue Wang , Jinwu Hu , Huanxiang Lin , Bolin Chen , Zhiquan Wen , Yaofo Chen , Yu Rong , Mingkui Tan

Chain of thought finetuning (cot-finetuning) aims to endow small language models (SLM) with reasoning ability to improve their performance towards specific tasks by allowing them to imitate the reasoning procedure of large language models…

Computation and Language · Computer Science 2025-08-08 Xiaoshu Chen , Sihang Zhou , Ke Liang , Xinwang Liu

Large language models (LLMs) solve complex problems by generating multi-step reasoning traces. Yet these traces are typically analyzed from only one of two perspectives: the sequence of tokens across different reasoning steps in the…

Computation and Language · Computer Science 2026-03-25 Ruidi Chang , Jiawei Zhou , Hanjie Chen

Large Language Models (LLMs) often exhibit deficiencies with complex reasoning tasks, such as maths, which we attribute to the discrepancy between human reasoning patterns and those presented in the LLMs' training data. When dealing with…

Computation and Language · Computer Science 2025-08-28 Cong Liu , Wenchang Chai , Hejun Wu , Yan Pan , Pengxu Wei , Liang Lin

Large language models (LLMs) have a substantial capacity for high-level analogical reasoning: reproducing patterns in linear text that occur in their training data (zero-shot evaluation) or in the provided context (few-shot in-context…

Computation and Language · Computer Science 2023-06-05 Batu Ozturkler , Nikolay Malkin , Zhen Wang , Nebojsa Jojic

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

Large language models (LLMs) have shown remarkable performance in reasoning tasks but face limitations in mathematical and complex logical reasoning. Existing methods to improve LLMs' logical capabilities either involve traceable or…

Computation and Language · Computer Science 2025-05-27 Jiahao Yuan , Dehui Du , Hao Zhang , Zixiang Di , Usman Naseem

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

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

LLM-as-a-Judge models generate chain-of-thought (CoT) sequences intended to capture the step-bystep reasoning process that underlies the final evaluation of a response. However, due to the lack of human annotated CoTs for evaluation, the…

Artificial Intelligence · Computer Science 2025-07-09 Swarnadeep Saha , Xian Li , Marjan Ghazvininejad , Jason Weston , Tianlu Wang

Recent advancements in large language models (LLMs) have significantly advanced complex reasoning capabilities, particularly through extended chain-of-thought (CoT) reasoning that incorporates mechanisms such as backtracking,…

Computation and Language · Computer Science 2025-10-21 Baohao Liao , Xinyi Chen , Sara Rajaee , Yuhui Xu , Christian Herold , Anders Søgaard , Maarten de Rijke , Christof Monz

We propose a novel framework for comprehending the reasoning capabilities of large language models (LLMs) through the perspective of meta-learning. By conceptualizing reasoning trajectories as pseudo-gradient descent updates to the LLM's…

Computation and Language · Computer Science 2025-05-27 Junnan Liu , Hongwei Liu , Linchen Xiao , Shudong Liu , Taolin Zhang , Zihan Ma , Songyang Zhang , Kai Chen

Large language models (LLMs) showcase impressive reasoning capabilities when coupled with Chain-of-Thought (CoT) prompting. However, the robustness of this approach warrants further investigation. In this paper, we introduce a novel…

Computation and Language · Computer Science 2024-06-03 Rongwu Xu , Zehan Qi , Wei Xu

Recent advances in large language models (LLMs) have enabled automatic generation of chain-of-thought (CoT) reasoning, leading to strong performance on tasks such as math and code. However, when reasoning steps reflect social stereotypes…

Computation and Language · Computer Science 2025-09-23 Xuyang Wu , Jinming Nian , Ting-Ruen Wei , Zhiqiang Tao , Hsin-Tai Wu , Yi Fang

This paper introduces ThoughtProbe, a novel inference time framework that leverages the hidden reasoning features of Large Language Models (LLMs) to improve their reasoning performance. Unlike previous works that manipulate the hidden…

Computation and Language · Computer Science 2025-11-03 Zijian Wang , Chang Xu

Large reasoning models (LRMs) excel on complex problems but face a critical barrier to efficiency: reinforcement learning (RL) training requires long rollouts for outcome-based rewards, where autoregressive decoding dominates time and…

Machine Learning · Computer Science 2026-02-20 Zeliang Zhang , Xiaodong Liu , Hao Cheng , Hao Sun , Chenliang Xu , Jianfeng Gao
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