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Many scientific and industrial applications require solving Partial Differential Equations (PDEs) to describe the physical phenomena of interest. Some examples can be found in the fields of aerodynamics, astrodynamics, combustion and many…

Computational Physics · Physics 2019-12-11 Juan B. Pedro , Juan Maroñas , Roberto Paredes

While modern deep neural architectures generalise well when test data is sampled from the same distribution as training data, they fail badly for cases when the test data distribution differs from the training distribution even along a few…

Machine Learning · Computer Science 2020-10-06 Duo Wang , Mateja Jamnik , Pietro Lio

Machine learning has achieved tremendous success in a variety of domains in recent years. However, a lot of these success stories have been in places where the training and the testing distributions are extremely similar to each other. In…

Machine Learning · Statistics 2021-03-05 Martin Arjovsky

With recent advancements in artificial intelligence, its applications can be seen in every aspect of humans' daily life. From voice assistants to mobile healthcare and autonomous driving, we rely on the performance of AI methods for many…

Machine Learning · Computer Science 2022-09-28 Navid Ghassemi , Ehsan Fazl-Ersi

Physics-informed neural networks (PINNs) have made significant strides in modeling dynamical systems governed by partial differential equations (PDEs). However, their generalization capabilities across varying scenarios remain limited. To…

Machine Learning · Computer Science 2024-12-02 Honghui Wang , Yifan Pu , Shiji Song , Gao Huang

Time series remains one of the most challenging modalities in machine learning research. The out-of-distribution (OOD) detection and generalization on time series tend to suffer due to its non-stationary property, i.e., the distribution…

Machine Learning · Computer Science 2023-08-07 Wang Lu , Jindong Wang , Xinwei Sun , Yiqiang Chen , Xiangyang Ji , Qiang Yang , Xing Xie

The goal of Out-of-Distribution (OOD) generalization problem is to train a predictor that generalizes on all environments. Popular approaches in this field use the hypothesis that such a predictor shall be an \textit{invariant predictor}…

Machine Learning · Statistics 2021-11-29 Masanori Koyama , Shoichiro Yamaguchi

Out-of-Distribution (OOD) detection is essential for the trustworthiness of AI systems. Methods using prior information (i.e., subspace-based methods) have shown effective performance by extracting information geometry to detect OOD data…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Kaiyu Guo , Zijian Wang , Tan Pan , Brian C. Lovell , Mahsa Baktashmotlagh

Neural optical flow (NOF) offers improved accuracy and robustness over existing OF methods for particle image velocimetry (PIV). Unlike other OF techniques, which rely on discrete displacement fields, NOF parameterizes the physical velocity…

Fluid Dynamics · Physics 2026-03-31 Andrew I. Masker , Ke Zhou , Joseph P. Molnar , Samuel J. Grauer

Out-of-distribution (OOD) detection, which determines whether a given sample is part of the in-distribution (ID), has recently shown promising results through training with synthetic OOD datasets. Nonetheless, existing methods often produce…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Suhee Yoon , Sanghyu Yoon , Ye Seul Sim , Sungik Choi , Kyungeun Lee , Hye-Seung Cho , Hankook Lee , Woohyung Lim

Graph Neural Networks (GNNs) are proposed without considering the agnostic distribution shifts between training and testing graphs, inducing the degeneration of the generalization ability of GNNs on Out-Of-Distribution (OOD) settings. The…

Machine Learning · Computer Science 2024-03-12 Shaohua Fan , Xiao Wang , Chuan Shi , Peng Cui , Bai Wang

Neural operators (NOs) provide a new paradigm for efficiently solving partial differential equations (PDEs), but their training depends on costly high-fidelity data from numerical solvers, limiting applications in complex systems. We…

Computational Physics · Physics 2026-05-18 Wen You , Shaoqian Zhou , Xuhui Meng

Partial differential equations (PDEs) underpin quantitative descriptions across the physical sciences and engineering, yet high-fidelity simulation remains a major computational bottleneck for many-query, real-time, and design tasks.…

Machine Learning · Computer Science 2026-05-08 Mohammad Sadegh Eshaghi , Cosmin Anitescu , Navid Valizadeh , Yizheng Wang , Xiaoying Zhuang , Timon Rabczuk

In real-world applications, it is important and desirable to learn a model that performs well on out-of-distribution (OOD) data. Recently, causality has become a powerful tool to tackle the OOD generalization problem, with the idea resting…

Machine Learning · Statistics 2022-03-25 Ruoyu Wang , Mingyang Yi , Zhitang Chen , Shengyu Zhu

Neural Combinatorial Optimization aims to learn to solve a class of combinatorial problems through data-driven methods and notably through employing neural networks by learning the underlying distribution of problem instances. While, so far…

Machine Learning · Computer Science 2025-08-05 Daniela Thyssens , Tim Dernedde , Wilson Sentanoe , Lars Schmidt-Thieme

Iterative solvers are widely used to accurately simulate physical systems. These solvers require initial guesses to generate a sequence of improving approximate solutions. In this contribution, we introduce a novel method to accelerate…

Using the intuition that out-of-distribution data have lower likelihoods, a common approach for out-of-distribution detection involves estimating the underlying data distribution. Normalizing flows are likelihood-based generative models…

Machine Learning · Computer Science 2025-01-30 Seyedeh Fatemeh Razavi , Mohammad Mahdi Mehmanchi , Reshad Hosseini , Mostafa Tavassolipour

Graph machine learning has been extensively studied in both academia and industry. Although booming with a vast number of emerging methods and techniques, most of the literature is built on the in-distribution hypothesis, i.e., testing and…

Machine Learning · Computer Science 2023-01-02 Haoyang Li , Xin Wang , Ziwei Zhang , Wenwu Zhu

As point cloud data increases in prevalence in a variety of applications, the ability to detect out-of-distribution (OOD) point cloud objects becomes critical for ensuring model safety and reliability. However, this problem remains…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Adam Goodge , Xun Xu , Bryan Hooi , Wee Siong Ng , Jingyi Liao , Yongyi Su , Xulei Yang

The removal of multiplicative Gamma noise is a critical research area in the application of synthetic aperture radar (SAR) imaging, where neural networks serve as a potent tool. However, real-world data often diverges from theoretical…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Yi Ran , Zhichang Guo , Jia Li , Yao Li , Martin Burger , Boying Wu