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As LLM agents are increasingly built around reusable skills, a central challenge is no longer only whether agents can use provided skills, but whether they can generate correct, reusable, and executable skills from repositories and…

Artificial Intelligence · Computer Science 2026-05-19 Yifan Zhou , Zhentao Zhang , Ziming Cheng , Shuo Zhang , Qizhen Lan , Zhangquan Chen , Zhi Yang , QianyuXu , Ronghao Chen , Huacan Wang , Sen Hu

Partial differential equations (PDEs) are crucial in modeling diverse phenomena across scientific disciplines, including seismic and medical imaging, computational fluid dynamics, image processing, and neural networks. Solving these PDEs at…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-07 George Bisbas , Rhodri Nelson , Mathias Louboutin , Fabio Luporini , Paul H. J. Kelly , Gerard Gorman

Recent studies have demonstrated the potential of Large Language Models (LLMs) in generating GPU Kernels. Current benchmarks focus on the translation of high-level languages into CUDA, overlooking the more general and challenging task of…

Machine Learning · Computer Science 2026-03-04 Jiace Zhu , Wentao Chen , Qi Fan , Zhixing Ren , Junying Wu , Xing Zhe Chai , Chotiwit Rungrueangwutthinon , Yehan Ma , An Zou

Partial differential equations (PDEs) are widely used across the physical and computational sciences. Decades of research and engineering went into designing fast iterative solution methods. Existing solvers are general purpose, but may be…

Numerical Analysis · Mathematics 2024-09-23 Jun-Ting Hsieh , Shengjia Zhao , Stephan Eismann , Lucia Mirabella , Stefano Ermon

Solving partial differential equations (PDEs) is a fundamental problem in science and engineering. While neural PDE solvers can be more efficient than established numerical solvers, they often require large amounts of training data that is…

Machine Learning · Computer Science 2025-03-25 Daniel Musekamp , Marimuthu Kalimuthu , David Holzmüller , Makoto Takamoto , Mathias Niepert

Personalized Federated Learning (pFL), which utilizes and deploys distinct local models, has gained increasing attention in recent years due to its success in handling the statistical heterogeneity of FL clients. However, standardized…

Machine Learning · Computer Science 2022-10-14 Daoyuan Chen , Dawei Gao , Weirui Kuang , Yaliang Li , Bolin Ding

Large language models (LLMs) have shown strong performance on automated software engineering tasks, yet existing benchmarks focus primarily on library-style repositories, leaving mobile application development largely unexplored despite its…

Software Engineering · Computer Science 2026-05-11 Moshood A. Fakorede , Krishna Upadhyay , A. B. Siddique , Umar Farooq

Solving partial differential equations (PDEs) can be prohibitively expensive using traditional numerical methods. Deep learning-based surrogate models typically specialize in a single PDE with fixed parameters. We present a framework for…

Machine Learning · Computer Science 2025-11-14 Qian-Ze Zhu , Paul Raccuglia , Michael P. Brenner

Large language models (LLMs) and autonomous coding agents are increasingly used to generate software across a wide range of domains. Yet a core requirement remains unmet: ensuring that generated code is secure without compromising its…

Software Engineering · Computer Science 2025-11-27 Abhijeet Pathak , Suvadra Barua , Dinesh Gudimetla , Rupam Patir , Jiawei Guo , Hongxin Hu , Haipeng Cai

Recently, a diverse set of decoding and reranking procedures have been shown effective for LLM-based code generation. However, a comprehensive framework that links and experimentally compares these methods is missing. We address this by…

Computation and Language · Computer Science 2024-10-17 Haau-Sing Li , Patrick Fernandes , Iryna Gurevych , André F. T. Martins

Code synthesis, which requires a deep understanding of complex natural language problem descriptions, generation of code instructions for complex algorithms and data structures, and the successful execution of comprehensive unit tests,…

Computation and Language · Computer Science 2024-05-21 Md. Ashraful Islam , Mohammed Eunus Ali , Md Rizwan Parvez

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

Time-dependent partial differential equations (PDEs) are ubiquitous in science and engineering. Recently, mostly due to the high computational cost of traditional solution techniques, deep neural network based surrogates have gained…

Machine Learning · Computer Science 2023-10-24 Phillip Lippe , Bastiaan S. Veeling , Paris Perdikaris , Richard E. Turner , Johannes Brandstetter

The Finite Element Method (FEM) is widely used to solve discrete Partial Differential Equations (PDEs) in engineering and graphics applications. The popularity of FEM led to the development of a large family of variants, most of which…

Numerical Analysis · Computer Science 2022-03-10 Teseo Schneider , Yixin Hu , Xifeng Gao , Jeremie Dumas , Denis Zorin , Daniele Panozzo

Code generation benchmarks such as HumanEval are widely adopted to evaluate LLMs' capabilities. However, after consolidating the latest 24 benchmarks, we noticed three significant imbalances. First, imbalanced programming language. 95.8% of…

Machine Learning · Computer Science 2024-10-14 Jialun Cao , Zhiyong Chen , Jiarong Wu , Shing-chi Cheung , Chang Xu

Neural networks are one tool for approximating non-linear differential equations used in scientific computing tasks such as surrogate modeling, real-time predictions, and optimal control. PDE foundation models utilize neural networks to…

Machine Learning · Computer Science 2025-02-11 Elisa Negrini , Yuxuan Liu , Liu Yang , Stanley J. Osher , Hayden Schaeffer

Large Language Models (LLMs) are predominantly assessed based on their common sense reasoning, language comprehension, and logical reasoning abilities. While models trained in specialized domains like mathematics or coding have demonstrated…

Software Engineering · Computer Science 2026-01-08 Danny Brahman , Mohammad Mahoor

Recently, a lot of papers proposed to use neural networks to approximately solve partial differential equations (PDEs). Yet, there has been a lack of flexible framework for convenient experimentation. In an attempt to fill the gap, we…

Machine Learning · Computer Science 2019-09-26 Alexander Koryagin , Roman Khudorozkov , Sergey Tsimfer

The growing demand for data-driven decision-making has created an urgent need for data agents that can integrate structured and unstructured data for analysis. While data agents show promise for enabling users to perform complex analytics…

Databases · Computer Science 2025-09-03 Ziting Wang , Shize Zhang , Haitao Yuan , Jinwei Zhu , Shifu Li , Wei Dong , Gao Cong

The numerical solution of partial differential equations (PDEs) is difficult, having led to a century of research so far. Recently, there have been pushes to build neural--numerical hybrid solvers, which piggy-backs the modern trend towards…

Machine Learning · Computer Science 2023-03-21 Johannes Brandstetter , Daniel Worrall , Max Welling