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Related papers: CodePDE: An Inference Framework for LLM-driven PDE…

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Pre-trained on massive amounts of code and text data, large language models (LLMs) have demonstrated remarkable achievements in performing code generation tasks. With additional execution-based feedback, these models can act as agents with…

Computation and Language · Computer Science 2024-11-14 Jierui Li , Hung Le , Yingbo Zhou , Caiming Xiong , Silvio Savarese , Doyen Sahoo

A key aspect of learned partial differential equation (PDE) solvers is that the main cost often comes from generating training data with classical solvers rather than learning the model itself. Another is that there are clear axes of…

Machine Learning · Computer Science 2026-01-26 Naman Choudhary , Vedant Singh , Ameet Talwalkar , Nicholas Matthew Boffi , Mikhail Khodak , Tanya Marwah

Large Language Model (LLM) based coding tools have been tremendously successful as software development assistants, yet they are often designed for general purpose programming tasks and perform poorly for more specialized domains such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-20 Aman Chaturvedi , Daniel Nichols , Siddharth Singh , Abhinav Bhatele

Partial Differential Equations (PDE) are fundamental to model different phenomena in science and engineering mathematically. Solving them is a crucial step towards a precise knowledge of the behaviour of natural and engineered systems. In…

High-dimensional partial differential equations (PDEs) pose significant challenges for numerical computation due to the curse of dimensionality, which limits the applicability of traditional mesh-based methods. Since 2017, the Deep BSDE…

Numerical Analysis · Mathematics 2025-05-26 Jiequn Han , Arnulf Jentzen , Weinan E

Large Language Models (LLMs) are widely used in software engineering to generate, complete, translate, and fix code, improving developer productivity. While most research focuses on the energy consumption and carbon emissions of model…

Software Engineering · Computer Science 2026-04-15 Sabiya Banu Masthan Ali , Oussema Kirmani , Aroosa Hameed , Syed Muhammad Danish , Gautam Srivastava

Evaluating the performance of Code Language Models (CLMs) for software engineering tasks, especially in multilingual and low-resource programming language settings, poses significant challenges. These challenges are primarily due to the…

Software Engineering · Computer Science 2024-11-26 Rohit Dandamudi , Gema Rodríguez-Pérez

Large Language Models (LLMs) have emerged as coding assistants, capable of generating source code from natural language prompts. With the increasing adoption of LLMs in software development, academic research and industry based projects are…

Large language models (LLMs) have demonstrated remarkable capabilities in code generation tasks. However, their effectiveness heavily relies on supervised training with extensive labeled (e.g., question-answering pairs) or unlabeled…

Computation and Language · Computer Science 2025-12-22 Jiajun Wu , Jian Yang , Wei Zhang , Lin Jing , Yuqing Ma , Ensheng Shi , Yuchi Ma , Zhoujun Li , Xianglong Liu

Deep models have recently emerged as promising tools to solve partial differential equations (PDEs), known as neural PDE solvers. While neural solvers trained from either simulation data or physics-informed loss can solve PDEs reasonably…

Machine Learning · Computer Science 2025-09-05 Hang Zhou , Yuezhou Ma , Haixu Wu , Haowen Wang , Mingsheng Long

Mechanism design has long been a cornerstone of economic theory, with traditional approaches relying on mathematical derivations. Recently, automated approaches, including differentiable economics with neural networks, have emerged for…

Machine Learning · Computer Science 2025-02-19 Jiayuan Liu , Mingyu Guo , Vincent Conitzer

Partial Differential Equations (PDEs) are central to science and engineering. Since solving them is computationally expensive, a lot of effort has been put into approximating their solution operator via both traditional and recently…

Machine Learning · Computer Science 2025-02-14 Alessandro Longhi , Danny Lathouwers , Zoltán Perkó

Large Language Models (LLMs) have demonstrated their remarkable capabilities in numerous fields. This survey focuses on how LLMs empower users, regardless of their technical background, to use human languages to automatically generate…

Software Engineering · Computer Science 2025-04-03 Nam Huynh , Beiyu Lin

Recently, many studies have increasingly explored the use of large language models (LLMs) to generate research ideas and scientific hypotheses. However, real-world research and development often require solving complex, interdisciplinary…

Computation and Language · Computer Science 2025-01-03 Hikari Tomita , Nobuhiro Nakamura , Shoichi Ishida , Toshio Kamiya , Kei Terayama

State-of-the-art Large Language Models (LLMs) excel in code generation at the function level. However, the output quality significantly declines when scaling to repository-level systems. Current workflows relying only on natural language…

Software Engineering · Computer Science 2026-05-05 Shuzhao Feng , Boqi Chen , Brett H Meyer , Gunter Mussbacher

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Deep Learning (DL) techniques for Natural Language Processing have been evolving remarkably fast. Recently, the DL advances in language modeling, machine translation and paragraph understanding are so prominent that the potential of DL in…

Software Engineering · Computer Science 2020-06-16 Triet H. M. Le , Hao Chen , M. Ali Babar

Recent advances in deep learning have inspired numerous works on data-driven solutions to partial differential equation (PDE) problems. These neural PDE solvers can often be much faster than their numerical counterparts; however, each…

Machine Learning · Computer Science 2025-02-06 Anthony Zhou , Zijie Li , Michael Schneier , John R Buchanan , Amir Barati Farimani

Recent advancements in Large Language Models (LLMs) have showcased striking results on existing logical reasoning benchmarks, with some models even surpassing human performance. However, the true depth of their competencies and robustness…

Computation and Language · Computer Science 2024-11-05 Pengfei Hong , Navonil Majumder , Deepanway Ghosal , Somak Aditya , Rada Mihalcea , Soujanya Poria

The generation of large, high-quality datasets for code understanding and generation remains a significant challenge, particularly when aligning decompiled binaries with their original source code. To address this, we present CodableLLM, a…

Software Engineering · Computer Science 2025-07-31 Dylan Manuel , Paul Rad