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Time-dependent partial differential equations are a significant class of equations that describe the evolution of various physical phenomena over time. One of the open problems in scientific computing is predicting the behaviour of the…

Numerical Analysis · Mathematics 2025-06-30 Zhenyi Zhu , Yuchen Huang , Liu Liu

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

Image and Video Processing · Electrical Eng. & Systems 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

This paper proposes a physics-informed neural operator (PINO) framework for solving inverse scattering problems, enabling rapid and accurate reconstructions under diverse measurement conditions. In the proposed approach, the dielectric…

Computational Physics · Physics 2026-03-27 Q. C. Dong , Zi-Xuan Su , Qing Huo Liu , Wen Chen , Zhizhang , Chen

Neural networks (NNs) are widely used for object classification in autonomous driving. However, NNs can fail on input data not well represented by the training dataset, known as out-of-distribution (OOD) data. A mechanism to detect OOD…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Julia Nitsch , Masha Itkina , Ransalu Senanayake , Juan Nieto , Max Schmidt , Roland Siegwart , Mykel J. Kochenderfer , Cesar Cadena

Numerical discretisations of partial differential equations (PDEs) can be written as discrete convolutions, which, themselves, are a key tool in AI libraries and used in convolutional neural networks (CNNs). We therefore propose to…

Fluid Dynamics · Physics 2025-11-06 Boyang Chen , Claire E. Heaney , Christopher C. Pain

Engineers learn from every design they create, building intuition that helps them quickly identify promising solutions for new problems. Topology optimization (TO) - a well-established computational method for designing structures with…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Igor Kuszczak , Gawel Kus , Federico Bosi , Miguel A. Bessa

We propose a new family of neural networks to predict the behaviors of physical systems by learning their underpinning constraints. A neural projection operator lies at the heart of our approach, composed of a lightweight network with an…

Neural and Evolutionary Computing · Computer Science 2020-12-15 Shuqi Yang , Xingzhe He , Bo Zhu

Neural operators have emerged as transformative tools for learning mappings between infinite-dimensional function spaces, offering useful applications in solving complex partial differential equations (PDEs). This paper presents a rigorous…

Numerical Analysis · Mathematics 2026-01-23 Vu-Anh Le , Mehmet Dik

The scale of modern datasets necessitates the development of efficient distributed optimization methods for machine learning. We present a general-purpose framework for distributed computing environments, CoCoA, that has an efficient…

Machine Learning · Computer Science 2018-10-11 Virginia Smith , Simone Forte , Chenxin Ma , Martin Takac , Michael I. Jordan , Martin Jaggi

Neural operators extend data-driven models to map between infinite-dimensional functional spaces. These models have successfully solved continuous dynamical systems represented by differential equations, viz weather forecasting, fluid flow,…

Machine Learning · Computer Science 2023-10-13 Karn Tiwari , N M Anoop Krishnan , Prathosh A P

Detecting deepfakes has become a critical challenge in Computer Vision and Artificial Intelligence. Despite significant progress in detection techniques, generalizing them to open-set scenarios continues to be a persistent difficulty.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Luca Maiano , Fabrizio Casadei , Irene Amerini

Out-of-distribution (OOD) detection is a crucial part of deploying machine learning models safely. It has been extensively studied with a plethora of methods developed in the literature. This problem is tackled with an OOD score…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Jingqiu Zhou , Aojun Zhou , Hongsheng Li

Distribution shifts on graphs -- the data distribution discrepancies between training and testing a graph machine learning model, are often ubiquitous and unavoidable in real-world scenarios. Such shifts may severely deteriorate the…

Machine Learning · Computer Science 2024-02-20 Shuhan Liu , Kaize Ding

Large-scale transformers achieve impressive results on program synthesis benchmarks, yet their true generalization capabilities remain obscured by data contamination and opaque training corpora. To rigorously assess whether models are truly…

Machine Learning · Computer Science 2026-05-01 Henrik Voigt , Michael Habeck , Joachim Giesen

We propose Diffusion Noise Optimization (DNO), a new method that effectively leverages existing motion diffusion models as motion priors for a wide range of motion-related tasks. Instead of training a task-specific diffusion model for each…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Korrawe Karunratanakul , Konpat Preechakul , Emre Aksan , Thabo Beeler , Supasorn Suwajanakorn , Siyu Tang

Scientific discovery and engineering design are currently limited by the time and cost of physical experiments, selected mostly through trial-and-error and intuition that require deep domain expertise. Numerical simulations present an…

Machine Learning · Computer Science 2024-01-08 Kamyar Azizzadenesheli , Nikola Kovachki , Zongyi Li , Miguel Liu-Schiaffini , Jean Kossaifi , Anima Anandkumar

Neural ordinary differential equations describe how values change in time. This is the reason why they gained importance in modeling sequential data, especially when the observations are made at irregular intervals. In this paper we propose…

Machine Learning · Computer Science 2021-10-26 Marin Biloš , Johanna Sommer , Syama Sundar Rangapuram , Tim Januschowski , Stephan Günnemann

We integrate neural operators with diffusion models to address the spectral limitations of neural operators in surrogate modeling of turbulent flows. While neural operators offer computational efficiency, they exhibit deficiencies in…

Machine Learning · Computer Science 2025-02-14 Vivek Oommen , Aniruddha Bora , Zhen Zhang , George Em Karniadakis

Partial differential equations (PDEs) govern a wide variety of dynamical processes in science and engineering, yet obtaining their numerical solutions often requires high-resolution discretizations and repeated evaluations of complex…

Machine Learning · Computer Science 2026-01-26 Valentin Duruisseaux , Jean Kossaifi , Anima Anandkumar

Autonomous aerial target tracking in unstructured and GPS-denied environments remains a fundamental challenge in robotics. Many existing methods rely on motion capture systems, pre-mapped scenes, or feature-based localization to ensure…

Robotics · Computer Science 2025-07-08 Alessandro Saviolo , Giuseppe Loianno