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Self-training has proven effective for improving NMT performance by augmenting model training with synthetic parallel data. The common practice is to construct synthetic data based on a randomly sampled subset of large-scale monolingual…

Computation and Language · Computer Science 2021-06-03 Wenxiang Jiao , Xing Wang , Zhaopeng Tu , Shuming Shi , Michael R. Lyu , Irwin King

Mathematical reasoning has been challenging for large language models (LLMs), and the introduction of step-by-step Chain-of-Thought (CoT) inference has significantly advanced the mathematical capabilities of LLMs. However, current…

Artificial Intelligence · Computer Science 2025-09-23 Lang Cao , Yingtian Zou , Chao Peng , Renhong Chen , Wu Ning , Yitong Li

Despite rapid advances in the capabilities of Large Language Models (LLMs), they continue to struggle with following relatively simple and unambiguous instructions, particularly when compositional structure is involved. Recent work suggests…

Computation and Language · Computer Science 2026-03-12 Prince Kumar , Rudra Murthy , Riyaz Bhat , Danish Contractor

Training on large amounts of rationales (i.e., CoT Fine-tuning) is effective at improving the reasoning capabilities of large language models (LLMs). However, acquiring human-authored rationales or augmenting rationales from proprietary…

Computation and Language · Computer Science 2024-10-04 Hyeonbin Hwang , Doyoung Kim , Seungone Kim , Seonghyeon Ye , Minjoon Seo

Large language models (LLMs) have shown impressive capabilities across a wide range of language tasks. However, their reasoning process is primarily guided by statistical patterns in training data, which limits their ability to handle novel…

Artificial Intelligence · Computer Science 2025-08-21 Hong Su

Large Reasoning Models (LRMs) have shown remarkable performance on challenging questions, such as math and coding. However, to obtain a high quality solution, one may need to sample more than once. In principal, there are two sampling…

Computation and Language · Computer Science 2026-04-08 Xiangming Gu , Soham De , Larisa Markeeva , Petar Veličković , Razvan Pascanu

Showing incorrect answers to Large Language Models (LLMs) is a popular strategy to improve their performance in reasoning-intensive tasks. It is widely assumed that, in order to be helpful, the incorrect answers must be accompanied by…

Computation and Language · Computer Science 2025-09-23 Lisa Alazraki , Maximilian Mozes , Jon Ander Campos , Tan Yi-Chern , Marek Rei , Max Bartolo

There is a growing trend of teaching large language models (LLMs) to solve mathematical problems through coding. Existing studies primarily focus on prompting powerful, closed-source models to generate seed training data followed by…

Computation and Language · Computer Science 2024-08-29 Dian Yu , Baolin Peng , Ye Tian , Linfeng Song , Haitao Mi , Dong Yu

Mathematical reasoning problems are among the most challenging, as they typically require an understanding of fundamental laws to solve. The laws are universal, but the derivation of the final answer changes depending on how a problem is…

Machine Learning · Computer Science 2024-10-29 Ryoichi Takase , Masaya Tsunokake , Yuta Tsuchiya , Shota Inuzuka

Reinforcement learning (RL) for mathematical reasoning can suffer from reward sparsity: for challenging problems, LLM fails to sample any correct trajectories, preventing RL from receiving meaningful positive feedback. At the same time,…

Machine Learning · Computer Science 2026-03-06 Yangzhen Wu , Shanda Li , Zixin Wen , Xin Zhou , Ameet Talwalkar , Yiming Yang , Wenhao Huang , Tianle Cai

Instruction finetuning is standard practice for improving LLM performance, yet it remains unclear whether it enhances reasoning or merely induces surface-level pattern matching. We investigate this by evaluating base and instruction-tuned…

Machine Learning · Computer Science 2026-01-21 Prateek Munjal , Clement Christophe , Ronnie Rajan , Praveenkumar Kanithi

The alignments of reasoning abilities between smaller and larger Language Models are largely conducted via Supervised Fine-Tuning (SFT) using demonstrations generated from robust Large Language Models (LLMs). Although these approaches…

Computation and Language · Computer Science 2025-01-28 Leonardo Ranaldi , Andrè Freitas

Code has become a standard component of modern foundation language model (LM) training, yet its role beyond programming remains unclear. We revisit the claim that code improves reasoning through controlled pretraining experiments on a…

Artificial Intelligence · Computer Science 2026-05-20 Yuze Zhao , Junpeng Fang , Lu Yu , Zhenya Huang , Kai Zhang , Qing Cui , Qi Liu , Jun Zhou , Enhong Chen

Multimodal Large Language Models (MLLMs) already achieve state-of-the-art results across a wide range of tasks and modalities. To push their reasoning ability further, recent studies explore advanced prompting schemes and post-training…

Artificial Intelligence · Computer Science 2025-09-09 Zhenyu Pan , Yutong Zhang , Jianshu Zhang , Haoran Lu , Haozheng Luo , Yuwei Han , Philip S. Yu , Manling Li , Han Liu

Tasks requiring deductive reasoning, especially those involving multiple steps, often demand adaptive strategies such as intermediate generation of rationales or programs, as no single approach is universally optimal. While Language Models…

Artificial Intelligence · Computer Science 2024-10-22 Rongxing Liu , Kumar Shridhar , Manish Prajapat , Patrick Xia , Mrinmaya Sachan

Multimodal large language models (MLLMs) have achieved strong performance on perception-oriented tasks, yet their ability to perform mathematical spatial reasoning, defined as the capacity to parse and manipulate two- and three-dimensional…

We study the problem of fine-tuning a language model (LM) for a target task by optimally using the information from $n$ auxiliary tasks. This problem has broad applications in NLP, such as targeted instruction tuning and data selection in…

Computation and Language · Computer Science 2025-06-03 Dongyue Li , Ziniu Zhang , Lu Wang , Hongyang R. Zhang

Mathematical reasoning remains challenging for LLMs due to complex logic and the need for precise computation. Existing methods enhance LLM reasoning by synthesizing datasets through problem rephrasing, but face issues with generation…

Computation and Language · Computer Science 2025-06-12 Lei Xu , Sirui Chen , Yuxuan Huang , Chaochao Lu

Legal reasoning tasks present unique challenges for large language models (LLMs) due to the complexity of domain-specific knowledge and reasoning processes. This paper investigates how effectively smaller language models (Llama 2 7B and…

Machine Learning · Computer Science 2025-04-08 Rean Fernandes , André Biedenkapp , Frank Hutter , Noor Awad

We propose novel evaluations for mathematical reasoning capabilities of Large Language Models (LLMs) based on mathematical misconceptions. Our primary approach is to simulate LLMs as a novice learner and an expert tutor, aiming to identify…

Computation and Language · Computer Science 2023-10-05 Naiming Liu , Shashank Sonkar , Zichao Wang , Simon Woodhead , Richard G. Baraniuk
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