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In this paper, we propose R$^3$: Learning Reasoning through Reverse Curriculum Reinforcement Learning (RL), a novel method that employs only outcome supervision to achieve the benefits of process supervision for large language models. The…

Decomposition is a fundamental skill in algorithmic programming, requiring learners to break down complex problems into smaller, manageable parts. However, current self-study methods, such as browsing reference solutions or using LLM…

Human-Computer Interaction · Computer Science 2025-02-27 Shuai Ma , Junling Wang , Yuanhao Zhang , Xiaojuan Ma , April Yi Wang

Large Language Models (LLMs) for complex reasoning is often hindered by high computational costs and latency, while resource-efficient Small Language Models (SLMs) typically lack the necessary reasoning capacity. Existing collaborative…

Computation and Language · Computer Science 2026-01-09 Chengsong Huang , Tong Zheng , Langlin Huang , Jinyuan Li , Haolin Liu , Jiaxin Huang

Large Reasoning Models (LRMs) have shown remarkable reasoning capabilities, yet they often suffer from overthinking, expending redundant computational steps on simple problems, or underthinking, failing to explore sufficient reasoning paths…

Artificial Intelligence · Computer Science 2026-04-03 Yulin Li , Tengyao Tu , Li Ding , Junjie Wang , Huiling Zhen , Yixin Chen , Yong Li , Zhuotao Tian

Reasoning models enhance performance by tackling problems in a step-by-step manner, decomposing them into sub-problems and exploring long chains of thought before producing an answer. However, applying extended reasoning to every step…

Artificial Intelligence · Computer Science 2025-10-08 Haiquan Lu , Gongfan Fang , Xinyin Ma , Qi Li , Xinchao Wang

Table-based reasoning has shown remarkable progress in combining deep models with discrete reasoning, which requires reasoning over both free-form natural language (NL) questions and structured tabular data. However, previous table-based…

Computation and Language · Computer Science 2023-04-28 Yunhu Ye , Binyuan Hui , Min Yang , Binhua Li , Fei Huang , Yongbin Li

We consider the learning of algorithmic tasks by mere observation of input-output pairs. Rather than studying this as a black-box discrete regression problem with no assumption whatsoever on the input-output mapping, we concentrate on tasks…

Machine Learning · Computer Science 2018-10-16 Alex Nowak-Vila , David Folqué , Joan Bruna

Recent large reasoning models (LRMs) driven by reinforcement learning algorithms (e.g., GRPO) have achieved remarkable performance on challenging reasoning tasks. However, these models suffer from overthinking, generating unnecessarily long…

Artificial Intelligence · Computer Science 2026-03-03 Gang Li , Yan Chen , Ming Lin , Tianbao Yang

Advancements in artificial intelligence for molecular science are necessitating a paradigm shift from purely data-driven predictions to knowledge-guided computational reasoning. Existing molecular models are predominantly proprietary,…

Machine Learning · Computer Science 2026-03-16 Pengfei Liu , Shuang Ge , Jun Tao , Zhixiang Ren

Large Language Models (LLMs) exhibit remarkable proficiency in addressing a diverse array of tasks within the Natural Language Processing (NLP) domain, with various prompt design strategies significantly augmenting their capabilities.…

Computation and Language · Computer Science 2024-08-05 Xiangyu Zhao , Chengqian Ma

Recent advancements in large language models (LLMs) underscore the need for stronger reasoning capabilities to solve complex problems effectively. While Chain-of-Thought (CoT) reasoning has been a step forward, it remains insufficient for…

Computation and Language · Computer Science 2025-07-14 Matan Vetzler , Koren Lazar , Guy Uziel , Eran Hirsch , Ateret Anaby-Tavor , Leshem Choshen

Foundation models, such as Large language Models (LLMs), have attracted significant amount of interest due to their large number of applications. However, when handling tasks involving repetitive sub-tasks and/or deceptive contents, such as…

Artificial Intelligence · Computer Science 2024-07-04 Yizhou Zhang , Lun Du , Defu Cao , Qiang Fu , Yan Liu

Reasoning models excel by generating long chain-of-thoughts, but decoding the resulting thousands of tokens is slow. Token-level speculative decoding (SD) helps, but its benefit is capped, because the chance that an entire $\gamma$-token…

Machine Learning · Computer Science 2025-06-25 Yichao Fu , Rui Ge , Zelei Shao , Zhijie Deng , Hao Zhang

Large Language Models (LLMs) often fail on complex reasoning tasks due to flawed question comprehension, not just flawed logic. This paper presents a systematic investigation into these comprehension failures. Our work yields three key…

Computation and Language · Computer Science 2025-09-19 Feijiang Han , Hengtao Cui , Licheng Guo , Zelong Wang , Zhiyuan Lyu

Large language models augmented with task-relevant documents have demonstrated impressive performance on knowledge-intensive tasks. However, regarding how to obtain effective documents, the existing methods are mainly divided into two…

Computation and Language · Computer Science 2023-10-10 Zhangyin Feng , Xiaocheng Feng , Dezhi Zhao , Maojin Yang , Bing Qin

We study scalable alternatives to robust gradient descent (RGD) techniques that can be used when the losses and/or gradients can be heavy-tailed, though this will be unknown to the learner. The core technique is simple: instead of trying to…

Machine Learning · Statistics 2020-12-15 Matthew J. Holland

This paper proposes a deep-learning-based domain decomposition method (DeepDDM), which leverages deep neural networks (DNN) to discretize the subproblems divided by domain decomposition methods (DDM) for solving partial differential…

Numerical Analysis · Mathematics 2020-04-13 Wuyang Li , Xueshuang Xiang , Yingxiang Xu

Large Reasoning Models (LRMs) have shown exceptional reasoning capabilities, but they also suffer from the issue of overthinking, often generating excessively long and redundant answers. For problems that exceed the model's capabilities,…

Machine Learning · Computer Science 2026-03-23 Yinan Xia , Haotian Zhang , Huiming Wang

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

Large Reasoning Models (LRMs) perform strongly in complex reasoning tasks via Chain-of-Thought (CoT) prompting, but often suffer from verbose outputs, increasing computational overhead. Existing fine-tuning-based compression methods either…

Machine Learning · Computer Science 2025-09-22 Ziqing Qiao , Yongheng Deng , Jiali Zeng , Dong Wang , Lai Wei , Guanbo Wang , Fandong Meng , Jie Zhou , Ju Ren , Yaoxue Zhang