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During the pretraining phase, large language models (LLMs) acquire vast amounts of knowledge from extensive text corpora. Nevertheless, in later stages such as fine-tuning and inference, the model may encounter knowledge not covered in the…

Computation and Language · Computer Science 2024-10-10 Bozhou Li , Hao Liang , Yang Li , Fangcheng Fu , Hongzhi Yin , Conghui He , Wentao Zhang

Evaluation of multimodal reasoning models is typically reduced to a single accuracy score, implicitly treating reasoning as a unitary capability. We introduce MathLens, a benchmark of textbook-style geometry problems that exposes this…

Computation and Language · Computer Science 2026-05-08 Jiwan Chung , Neel Joshi , Pratyusha Sharma , Youngjae Yu , Vibhav Vineet

Cross-lingual Machine Reading Comprehension (xMRC) is challenging due to the lack of training data in low-resource languages. The recent approaches use training data only in a resource-rich language like English to fine-tune large-scale…

Machine Learning · Computer Science 2021-12-10 Nuo Chen , Linjun Shou , Min Gong , Jian Pei , Daxin Jiang

Self-correction has emerged as a promising solution to boost the reasoning performance of large language models (LLMs), where LLMs refine their solutions using self-generated critiques that pinpoint the errors. This work explores whether…

Computation and Language · Computer Science 2024-06-07 Yunxiang Zhang , Muhammad Khalifa , Lajanugen Logeswaran , Jaekyeom Kim , Moontae Lee , Honglak Lee , Lu Wang

Recent advancements in large language models (LLMs) integrating explicit reasoning, such as OpenAI's o3-mini, DeepSeek-R1, and QWQ-32B, enable smaller models to solve complex tasks by generating intermediate reasoning steps prior to…

Machine Learning · Computer Science 2025-03-25 Jaeyeon Lee , Guantong Qi , Matthew Brady Neeley , Zhandong Liu , Hyun-Hwan Jeong

Large language models (LLMs) with billions of parameters exhibit in-context learning abilities, enabling few-shot learning on tasks that the model was not specifically trained for. Traditional models achieve breakthrough performance on…

Artificial Intelligence · Computer Science 2025-11-04 Aske Plaat , Annie Wong , Suzan Verberne , Joost Broekens , Niki van Stein , Thomas Back

Large Language Models (LLMs) are increasingly used in math education not only as problem solvers but also as assessors of learners' reasoning. However, it remains unclear whether stronger math problem-solving ability is associated with…

Artificial Intelligence · Computer Science 2026-03-27 Liang Zhang , Yu Fu , Xinyi Jin

Self-correction of large language models (LLMs) emerges as a critical component for enhancing their reasoning performance. Although various self-correction methods have been proposed, a comprehensive evaluation of these methods remains…

Computation and Language · Computer Science 2025-10-23 Guiyao Tie , Zenghui Yuan , Zeli Zhao , Chaoran Hu , Tianhe Gu , Ruihang Zhang , Sizhe Zhang , Junran Wu , Xiaoyue Tu , Ming Jin , Qingsong Wen , Lixing Chen , Pan Zhou , Lichao Sun

In math reasoning with large language models (LLMs), fine-tuning data augmentation by query evolution and diverse reasoning paths is empirically verified effective, profoundly narrowing the gap between open-sourced LLMs and cutting-edge…

Computation and Language · Computer Science 2024-07-18 Chengpeng Li , Zheng Yuan , Hongyi Yuan , Guanting Dong , Keming Lu , Jiancan Wu , Chuanqi Tan , Xiang Wang , Chang Zhou

Recent Large Reasoning Models (LRMs) with thinking traces have shown strong performance on English reasoning tasks. However, their ability to think in other languages is less studied. This capability is as important as answer accuracy for…

Computation and Language · Computer Science 2025-12-12 Jirui Qi , Shan Chen , Zidi Xiong , Raquel Fernández , Danielle S. Bitterman , Arianna Bisazza

Despite recent progress in large-scale reinforcement learning (RL) for reasoning, the training recipe for building high-performing reasoning models remains elusive. Key implementation details of frontier models, such as DeepSeek-R1,…

Machine Learning · Computer Science 2025-06-06 Yang Chen , Zhuolin Yang , Zihan Liu , Chankyu Lee , Peng Xu , Mohammad Shoeybi , Bryan Catanzaro , Wei Ping

Recent research has shown that smaller language models can acquire substantial reasoning abilities when fine-tuned with reasoning exemplars crafted by a significantly larger teacher model. We explore this paradigm for the financial domain,…

Computation and Language · Computer Science 2024-08-23 Karmvir Singh Phogat , Sai Akhil Puranam , Sridhar Dasaratha , Chetan Harsha , Shashishekar Ramakrishna

Large Language Models (LLMs) solely trained on next-token prediction learn to solve a wide range of problems involving mathematical reasoning. But how does this ability evolve during training? We show the first analysis of how mathematical…

Artificial Intelligence · Computer Science 2025-12-15 Shubhra Mishra , Gabriel Poesia , Noah D. Goodman

Large language models (LLMs) have made impressive progress in handling simple math problems, yet they still struggle with more challenging and complex mathematical tasks. In this paper, we introduce a series of LLMs that employs the…

Computation and Language · Computer Science 2024-07-18 Chengpeng Li , Guanting Dong , Mingfeng Xue , Ru Peng , Xiang Wang , Dayiheng Liu

Training models on synthetic data has emerged as an increasingly important strategy for improving the performance of generative AI. This approach is particularly helpful for large multimodal models (LMMs) due to the relative scarcity of…

Artificial Intelligence · Computer Science 2026-01-13 Gabriela Ben Melech Stan , Estelle Aflalo , Avinash Madasu , Vasudev Lal , Phillip Howard

Large-scale high-quality training data is important for improving the performance of models. After trained with data that has rationales (reasoning steps), models gain reasoning capability. However, the dataset with high-quality rationales…

Computation and Language · Computer Science 2024-05-01 Yunlong Feng , Yang Xu , Libo Qin , Yasheng Wang , Wanxiang Che

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth

How cost-effectively can we elicit strong reasoning in language models by leveraging their underlying representations? We answer this question with Resa, a family of 1.5B reasoning models trained via a novel and efficient sparse autoencoder…

Computation and Language · Computer Science 2025-06-17 Shangshang Wang , Julian Asilis , Ömer Faruk Akgül , Enes Burak Bilgin , Ollie Liu , Deqing Fu , Willie Neiswanger

Recent studies show that the reasoning capabilities of Large Language Models (LLMs) can be improved by applying Reinforcement Learning (RL) to question-answering (QA) tasks in areas such as math and coding. With a long context length, LLMs…

Computation and Language · Computer Science 2025-10-17 Stephen Chung , Wenyu Du , Jie Fu

Reward learning enables the application of reinforcement learning (RL) to tasks where reward is defined by human judgment, building a model of reward by asking humans questions. Most work on reward learning has used simulated environments,…

Computation and Language · Computer Science 2020-01-10 Daniel M. Ziegler , Nisan Stiennon , Jeffrey Wu , Tom B. Brown , Alec Radford , Dario Amodei , Paul Christiano , Geoffrey Irving