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Solving partial differential equations (PDEs) with machine learning typically requires training a new neural network for every new equation. This optimization is slow. We introduce MetaColloc. It is an optimization-free and data-free…

Machine Learning · Computer Science 2026-05-13 Zichuan Yang

Partial differential equations (PDEs) are fundamental for modeling complex physical systems, yet classical numerical solvers face prohibitive computational costs in high-dimensional and multi-scale regimes. While Transformer-based neural…

Machine Learning · Computer Science 2026-03-04 Pengyu Lai , Yixiao Chen , Dewu Yang , Rui Wang , Feng Wang , Hui Xu

Neural operator learning accelerates PDE solution by approximating operators as mappings between continuous function spaces. Yet in many engineering settings, varying geometry induces discrete structural changes, including topological…

Machine Learning · Computer Science 2026-03-04 Jinshuai Bai , Haolin Li , Zahra Sharif Khodaei , M. H. Aliabadi , YuanTong Gu , Xi-Qiao Feng

Neural solvers for partial differential equations (PDEs) have great potential to generate fast and accurate physics solutions, yet their practicality is currently limited by their generalizability. PDEs evolve over broad scales and exhibit…

Machine Learning · Computer Science 2024-12-06 Anthony Zhou , Amir Barati Farimani

Multimodal semantic understanding often has to deal with uncertainty, which means the obtained messages tend to refer to multiple targets. Such uncertainty is problematic for our interpretation, including inter- and intra-modal uncertainty.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Yatai Ji , Junjie Wang , Yuan Gong , Lin Zhang , Yanru Zhu , Hongfa Wang , Jiaxing Zhang , Tetsuya Sakai , Yujiu Yang

Neural Operators (NOs) provide a powerful framework for computations involving physical laws that can be modelled by (integro-) partial differential equations (PDEs), directly learning maps between infinite-dimensional function spaces that…

Machine Learning · Computer Science 2025-09-18 Gianluca Fabiani , Hannes Vandecasteele , Somdatta Goswami , Constantinos Siettos , Ioannis G. Kevrekidis

Mainstream numerical Partial Differential Equation (PDE) solvers require discretizing the physical domain using a mesh. Mesh movement methods aim to improve the accuracy of the numerical solution by increasing mesh resolution where the…

Partial differential equations (PDEs) form the mathematical foundation for modeling physical systems in science and engineering, where numerical solutions demand rigorous accuracy-efficiency tradeoffs. Mesh movement techniques address this…

Artificial Intelligence · Computer Science 2025-10-30 Zhichao Wang , Xinhai Chen , Qinglin Wang , Xiang Gao , Qingyang Zhang , Menghan Jia , Xiang Zhang , Jie Liu

Per-object distance estimation is critical in surveillance and autonomous driving, where safety is crucial. While existing methods rely on geometric or deep supervised features, only a few attempts have been made to leverage self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Aniello Panariello , Gianluca Mancusi , Fedy Haj Ali , Angelo Porrello , Simone Calderara , Rita Cucchiara

Multi-modal learning has achieved remarkable success by integrating information from various modalities, achieving superior performance in tasks like recognition and retrieval compared to uni-modal approaches. However, real-world scenarios…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Xiaohao Liu , Xiaobo Xia , Zhuo Huang , See-Kiong Ng , Tat-Seng Chua

Generative based strategy has shown great potential in the Generalized Zero-Shot Learning task. However, it suffers severe generalization problem due to lacking of feature diversity for unseen classes to train a good classifier. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Bonan Li , Xuecheng Nie , Congying Han

Physics-informed neural operators offer a powerful framework for learning solution operators of partial differential equations (PDEs) by combining data and physics losses. However, these physics losses rely on derivatives. Computing these…

Automatic modulation classification (AMC) plays a vital role in advancing future wireless communication networks. Although deep learning (DL)-based AMC frameworks have demonstrated remarkable classification capabilities, they typically…

Signal Processing · Electrical Eng. & Systems 2025-09-23 Hao Zhang , Fuhui Zhou , Qihui Wu , Chau Yuen

Pretraining methods gain increasing attraction recently for solving PDEs with neural operators. It alleviates the data scarcity problem encountered by neural operator learning when solving single PDE via training on large-scale datasets…

Machine Learning · Computer Science 2024-11-28 Tian Wang , Chuang Wang

In recent years, researchers pay growing attention to the few-shot learning (FSL) task to address the data-scarce problem. A standard FSL framework is composed of two components: i) Pre-train. Employ the base data to generate a CNN-based…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Shuai Shao , Lei Xing , Rui Xu , Weifeng Liu , Yan-Jiang Wang , Bao-Di Liu

Few-Shot Object Detection (FSOD) is a rapidly growing field in computer vision. It consists in finding all occurrences of a given set of classes with only a few annotated examples for each class. Numerous methods have been proposed to…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 Pierre Le Jeune , Anissa Mokraoui

The Monte Carlo-type Neural Operator (MCNO) introduces a framework for learning solution operators of one-dimensional partial differential equations (PDEs) by directly learning the kernel function and approximating the associated integral…

Machine Learning · Computer Science 2025-12-04 Salah Eddine Choutri , Prajwal Chauhan , Othmane Mazhar , Saif Eddin Jabari

Autonomous agents interacting with the real world need to learn new concepts efficiently and reliably. This requires learning in a low-data regime, which is a highly challenging problem. We address this task by introducing a fast…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Ardhendu Shekhar Tripathi , Martin Danelljan , Luc Van Gool , Radu Timofte

Multimodal federated learning (FL) aims to enrich model training in FL settings where devices are collecting measurements across multiple modalities (e.g., sensors measuring pressure, motion, and other types of data). However, key…

Machine Learning · Computer Science 2024-08-21 Liangqi Yuan , Dong-Jun Han , Vishnu Pandi Chellapandi , Stanislaw H. Żak , Christopher G. Brinton

Neural operators have emerged as promising frameworks for learning mappings governed by partial differential equations (PDEs), serving as data-driven alternatives to traditional numerical methods. While methods such as the Fourier neural…

Machine Learning · Computer Science 2025-04-21 Minsu Koh , Beom-Chul Park , Heejo Kong , Seong-Whan Lee
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