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Large Language Models (LLMs) have demonstrated promising capabilities in solving mathematical reasoning tasks, leveraging Chain-of-Thought (CoT) data as a vital component in guiding answer generation. Current paradigms typically generate…

Computation and Language · Computer Science 2025-03-20 Honglin Lin , Zhuoshi Pan , Yu Li , Qizhi Pei , Xin Gao , Mengzhang Cai , Conghui He , Lijun Wu

We consider the numerical solution of large-scale symmetric differential matrix Riccati equations. Under certain hypotheses on the data, reduced order methods have recently arisen as a promising class of solution strategies, by forming…

Numerical Analysis · Mathematics 2020-01-14 Gerhard Kirsten , Valeria Simoncini

Large Language Models (LLMs) have recently achieved remarkable progress by leveraging Reinforcement Learning and extended Chain-of-Thought (CoT) techniques. However, the challenge of performing efficient language reasoning--especially…

Computation and Language · Computer Science 2025-06-17 Zhong-Zhi Li , Xiao Liang , Zihao Tang , Lei Ji , Peijie Wang , Haotian Xu , Xing W , Haizhen Huang , Weiwei Deng , Yeyun Gong , Zhijiang Guo , Xiao Liu , Fei Yin , Cheng-Lin Liu

Answering complex questions that require multi-step multi-type reasoning over raw text is challenging, especially when conducting numerical reasoning. Neural Module Networks(NMNs), follow the programmer-interpreter framework and design…

Computation and Language · Computer Science 2022-10-07 Jiayi Chen , Xiao-Yu Guo , Yuan-Fang Li , Gholamreza Haffari

Natural language to code generation is an important application area of LLMs and has received wide attention from the community. The majority of relevant studies have exclusively concentrated on increasing the quantity and functional…

Machine Learning · Computer Science 2023-11-28 Naman Jain , Tianjun Zhang , Wei-Lin Chiang , Joseph E. Gonzalez , Koushik Sen , Ion Stoica

Large language models (LLMs) have revolutionized various domains, yet their utility comes with significant challenges related to outdated or problematic knowledge embedded during pretraining. This paper addresses the challenge of modifying…

Computation and Language · Computer Science 2024-09-23 Akshaj Kumar Veldanda , Shi-Xiong Zhang , Anirban Das , Supriyo Chakraborty , Stephen Rawls , Sambit Sahu , Milind Naphade

Preference optimization methods have been successfully applied to improve not only the alignment of large language models (LLMs) with human values, but also specific natural language tasks such as summarization and stylistic continuations.…

Machine Learning · Computer Science 2025-02-06 Salem Lahlou , Abdalgader Abubaker , Hakim Hacid

Large Language Models (LLMs) have demonstrated strong reasoning capabilities across various tasks. However, even minor variations in query phrasing, despite preserving the underlying semantic meaning, can significantly affect their…

Computation and Language · Computer Science 2025-02-26 Yihang Yao , Zhepeng Cen , Miao Li , William Han , Yuyou Zhang , Emerson Liu , Zuxin Liu , Chuang Gan , Ding Zhao

Large language models (LLMs) demonstrate strong performance as text embedding models when finetuned with supervised contrastive training. However, their large size balloons inference time and memory requirements. In this paper, we show that…

Computation and Language · Computer Science 2024-10-21 Thennal D K , Tim Fischer , Chris Biemann

Information retrieval systems are crucial for enabling effective access to large document collections. Recent approaches have leveraged Large Language Models (LLMs) to enhance retrieval performance through query augmentation, but often rely…

Information Retrieval · Computer Science 2025-04-15 Pengcheng Jiang , Jiacheng Lin , Lang Cao , Runchu Tian , SeongKu Kang , Zifeng Wang , Jimeng Sun , Jiawei Han

Due to the substantial scale of Large Language Models (LLMs), the direct application of conventional compression methodologies proves impractical. The computational demands associated with even minimal gradient updates present challenges,…

Machine Learning · Computer Science 2023-12-13 Arnav Chavan , Nahush Lele , Deepak Gupta

Large Language Models (LLMs) have driven substantial progress in artificial intelligence in recent years, exhibiting impressive capabilities across a wide range of tasks, including mathematical problem-solving. Inspired by the success of…

Computation and Language · Computer Science 2023-10-20 Xueliang Zhao , Xinting Huang , Wei Bi , Lingpeng Kong

Large language models (LLMs) have enhanced our ability to rapidly analyze and classify unstructured natural language data. However, concerns regarding cost, network limitations, and security constraints have posed challenges for their…

Machine Learning · Computer Science 2024-11-05 David Farr , Nico Manzonelli , Iain Cruickshank , Jevin West

Fine-tuning large language models (LLMs) has achieved remarkable success across various NLP tasks, but the substantial memory overhead during backpropagation remains a critical bottleneck, especially as model scales grow. Zeroth-order (ZO)…

Computation and Language · Computer Science 2026-01-09 Feihu Jin , Shipeng Cen , Ying Tan

Large Language Models (LLMs) have been widely adopted in commercial code completion engines, significantly enhancing coding efficiency and productivity. However, LLMs may generate code with quality issues that violate coding standards and…

Software Engineering · Computer Science 2025-03-20 Yuan Jiang , Yujian Zhang , Liang Lu , Christoph Treude , Xiaohong Su , Shan Huang , Tiantian Wang

We introduce RE-Adapt, an approach to fine-tuning large language models on new domains without degrading any pre-existing instruction-tuning. We reverse engineer an adapter which isolates what an instruction-tuned model has learned beyond…

Computation and Language · Computer Science 2024-05-27 William Fleshman , Benjamin Van Durme

The rapid advancement of Large Language Models (LLMs) in the realm of mathematical reasoning necessitates comprehensive evaluations to gauge progress and inspire future directions. Existing assessments predominantly focus on problem-solving…

Computation and Language · Computer Science 2024-06-05 Xiaoyuan Li , Wenjie Wang , Moxin Li , Junrong Guo , Yang Zhang , Fuli Feng

We introduce ReALLM, a novel approach for compression and memory-efficient adaptation of pre-trained language models that encompasses most of the post-training quantization and fine-tuning methods for a budget of <4 bits. Pre-trained…

Machine Learning · Computer Science 2024-05-24 Louis Leconte , Lisa Bedin , Van Minh Nguyen , Eric Moulines

While recent work has begun to uncover the internal strategies that Large Language Models (LLMs) employ for simple arithmetic tasks, a unified understanding of their underlying mechanisms is still lacking. We extend recent findings showing…

Computation and Language · Computer Science 2025-08-05 Tanja Baeumel , Daniil Gurgurov , Yusser al Ghussin , Josef van Genabith , Simon Ostermann

This paper focuses on extending the success of large language models (LLMs) to sequential decision making. Existing efforts either (i) re-train or finetune LLMs for decision making, or (ii) design prompts for pretrained LLMs. The former…

Machine Learning · Computer Science 2025-06-17 Dingyang Chen , Qi Zhang , Yinglun Zhu