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Curriculum learning (CL) - ordering training data from easy to hard - has become a popular strategy for improving reasoning in large language models (LLMs). Yet prior work employs disparate difficulty metrics and training setups, leaving…

Machine Learning · Computer Science 2025-10-28 Yaning Jia , Chunhui Zhang , Xingjian Diao , Xiangchi Yuan , Zhongyu Ouyang , Chiyu Ma , Soroush Vosoughi

Large language models (LLMs) are increasingly reshaping learning paradigms, cognitive processes, and research methodologies across diverse domains. As their adoption expands, effectively integrating LLMs into professional fields and…

Computation and Language · Computer Science 2026-02-10 Jie Zhou , Xin Chen , Jie Zhang , Zhe Li

While reinforcement learning has advanced the reasoning abilities of Large Language Models (LLMs), these gains are largely confined to English, creating a significant performance disparity across languages. To address this, we introduce…

Computation and Language · Computer Science 2025-10-01 Fahim Faisal , Kaiqiang Song , Song Wang , Simin Ma , Shujian Liu , Haoyun Deng , Sathish Reddy Indurthi

Mathematical reasoning tasks have become prominent benchmarks for assessing the reasoning capabilities of LLMs, especially with reinforcement learning (RL) methods such as GRPO showing significant performance gains. However, accuracy…

Artificial Intelligence · Computer Science 2025-05-30 Tian Qin , Core Francisco Park , Mujin Kwun , Aaron Walsman , Eran Malach , Nikhil Anand , Hidenori Tanaka , David Alvarez-Melis

Latent reasoning offers a more efficient alternative to explicit reasoning by compressing intermediate reasoning into continuous representations and substantially shortening reasoning chains. However, existing latent reasoning methods…

Machine Learning · Computer Science 2026-05-01 Jingcheng Deng , Zihao Wei , Liang Pang , Junhong Wu , Shicheng Xu , Zenghao Duan , Huawei Shen

We present GLM-4.1V-Thinking, GLM-4.5V, and GLM-4.6V, a family of vision-language models (VLMs) designed to advance general-purpose multimodal understanding and reasoning. In this report, we share our key findings in the development of the…

Large language models (LLMs) have demonstrated strong reasoning capabilities in text-based mathematical problem solving; however, when adapted to visual reasoning tasks, particularly geometric problem solving, their performance…

Artificial Intelligence · Computer Science 2025-10-28 Nannan Shi , Chuanyu Qin , Shipeng Song , Man Luo

Standardized math assessments require expensive human pilot studies to establish the difficulty of test items. We investigate the predictive value of open-source large language models (LLMs) for evaluating the difficulty of multiple-choice…

Computation and Language · Computer Science 2026-04-22 Christabel Acquaye , Yi Ting Huang , Marine Carpuat , Rachel Rudinger

We introduce MathConstraint, a hard, adaptive benchmark for evaluating the combinatorial reasoning capabilities of LLMs. We combine constraint satisfaction problems with rigorous solver-based verification and design an adaptive generator to…

Machine Learning · Computer Science 2026-05-12 Viresh Pati , Zhengyu Li , Piyush Jha , Rahul Garg , Yatharth Sejpal , Vijay Ganesh

Reasoning Language Models, capable of extended chain-of-thought reasoning, have demonstrated remarkable performance on tasks requiring complex logical inference. However, applying elaborate reasoning for all queries often results in…

Computation and Language · Computer Science 2025-06-27 Gongfan Fang , Xinyin Ma , Xinchao Wang

In this paper, we present a novel approach for distilling math word problem solving capabilities from large language models (LLMs) into smaller, more efficient student models. Our approach is designed to consider the student model's…

Machine Learning · Computer Science 2023-05-25 Zhenwen Liang , Wenhao Yu , Tanmay Rajpurohit , Peter Clark , Xiangliang Zhang , Ashwin Kaylan

Tokens are the basic units of Large Language Models (LLMs). LLMs rely on tokenizers to segment text into these tokens, and tokenization is the primary determinant of computational and inference cost. Sanskrit, one of the oldest languages,…

Computation and Language · Computer Science 2026-01-13 Anshul Kumar

We present AMO-Bench, an Advanced Mathematical reasoning benchmark with Olympiad level or even higher difficulty, comprising 50 human-crafted problems. Existing benchmarks have widely leveraged high school math competitions for evaluating…

Computation and Language · Computer Science 2025-10-31 Shengnan An , Xunliang Cai , Xuezhi Cao , Xiaoyu Li , Yehao Lin , Junlin Liu , Xinxuan Lv , Dan Ma , Xuanlin Wang , Ziwen Wang , Shuang Zhou

Recent advancements in Large Language Models (LLMs) have shown that it is promising to utilize Process Reward Models (PRMs) as verifiers to enhance the performance of LLMs. However, current PRMs face three key challenges: (1) limited…

Computation and Language · Computer Science 2025-04-08 Jian Zhao , Runze Liu , Kaiyan Zhang , Zhimu Zhou , Junqi Gao , Dong Li , Jiafei Lyu , Zhouyi Qian , Biqing Qi , Xiu Li , Bowen Zhou

Large Language Models (LLMs) perform exceedingly well in Natural Language Understanding (NLU) tasks for many languages including English. However, despite being the fifth most-spoken language globally, Grammatical Error Correction (GEC) in…

Computation and Language · Computer Science 2025-06-06 Pramit Bhattacharyya , Arnab Bhattacharya

Recent advances in reinforcement learning (RL) using numerical rewards have significantly enhanced the complex reasoning capabilities of large language models (LLMs). However, we identify three fundamental limitations of purely numerical…

Computation and Language · Computer Science 2026-02-23 Xiaoying Zhang , Yipeng Zhang , Hao Sun , Kaituo Feng , Chaochao Lu , Chao Yang , Helen Meng

The enhancement of reasoning capabilities in large language models (LLMs) has garnered significant attention, with supervised fine-tuning (SFT) and reinforcement learning emerging as dominant paradigms. While recent studies recognize the…

Artificial Intelligence · Computer Science 2026-03-17 Zhijie Wang

Joint logical-numerical reasoning remains a major challenge for language models, yet existing datasets rely on fixed rule sets and offer limited control over task complexity, constraining their generalizability for evaluation and training.…

Computation and Language · Computer Science 2025-10-14 Yiwei Liu , Yucheng Li , Xiao Li , Gong Cheng

Large Language Models (LLMs) have demonstrated significant potential in handling complex reasoning tasks through step-by-step rationale generation. However, recent studies have raised concerns regarding the hallucination and flaws in their…

Artificial Intelligence · Computer Science 2024-10-16 Fangkai Jiao , Chengwei Qin , Zhengyuan Liu , Nancy F. Chen , Shafiq Joty

As large language models (LLMs) reach high scores on established mathematical benchmarks, such as GSM8K and MATH, the research community has turned to International Mathematical Olympiad (IMO) problems to push the evaluation frontier.…

Artificial Intelligence · Computer Science 2025-09-10 Ziye Chen , Chengwei Qin , Yao Shu