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Deep neural networks (DNNs), especially physics-informed neural networks (PINNs), have recently become a new popular method for solving forward and inverse problems governed by partial differential equations (PDEs). However, these methods…

Machine Learning · Computer Science 2023-10-26 Wenbo Cao , Weiwei Zhang

Learning the solution of partial differential equations (PDEs) with a neural network is an attractive alternative to traditional solvers due to its elegance, greater flexibility and the ease of incorporating observed data. However, training…

Machine Learning · Computer Science 2024-07-18 Katsiaryna Haitsiukevich , Alexander Ilin

In the field of Continual Learning, the objective is to learn several tasks one after the other without access to the data from previous tasks. Several solutions have been proposed to tackle this problem but they usually assume that the…

Machine Learning · Computer Science 2020-06-25 G. Hocquet , O. Bichler , D. Querlioz

Regular physics-informed neural networks (PINNs) predict the solution of partial differential equations using sparse labeled data but only over a single domain. On the other hand, fully supervised learning models are first trained usually…

Machine Learning · Computer Science 2023-09-19 Ali Kashefi , Leonidas J. Guibas , Tapan Mukerji

We consider using deep neural networks to solve time-dependent partial differential equations (PDEs), where multi-scale processing is crucial for modeling complex, time-evolving dynamics. While the U-Net architecture with skip connections…

Machine Learning · Computer Science 2024-03-29 Xuan Zhang , Jacob Helwig , Yuchao Lin , Yaochen Xie , Cong Fu , Stephan Wojtowytsch , Shuiwang Ji

Physics-Informed Neural Networks have emerged as a promising methodology for solving PDEs, gaining significant attention in computer science and various physics-related fields. Despite being demonstrated the ability to incorporate the…

Machine Learning · Computer Science 2025-05-01 Yao-Hsuan Tsai , Hsiao-Tung Juan , Pao-Hsiung Chiu , Chao-An Lin

Deep Learning (DL) models are often black boxes, making their decision-making processes difficult to interpret. This lack of transparency has driven advancements in eXplainable Artificial Intelligence (XAI), a field dedicated to clarifying…

Machine Learning · Computer Science 2024-12-04 Adam Wróbel , Mikołaj Janusz , Bartosz Zieliński , Dawid Rymarczyk

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs) by embedding physical laws into neural network training. However, traditional PINN models are typically designed…

Machine Learning · Computer Science 2025-05-05 Keon Vin Park

Computer vision has long relied on ImageNet and other large datasets of images sampled from the Internet for pretraining models. However, these datasets have ethical and technical shortcomings, such as containing personal information taken…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Yuki M. Asano , Christian Rupprecht , Andrew Zisserman , Andrea Vedaldi

As machine learning becomes increasingly prevalent in critical fields such as healthcare, ensuring the safety and reliability of machine learning systems becomes paramount. A key component of reliability is the ability to estimate…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Elisabeth R. M. Heremans , Nabeel Seedat , Bertien Buyse , Dries Testelmans , Mihaela van der Schaar , Maarten De Vos

Object occlusion boundary detection is a fundamental and crucial research problem in computer vision. This is challenging to solve as encountering the extreme boundary/non-boundary class imbalance during training an object occlusion…

Computer Vision and Pattern Recognition · Computer Science 2018-09-14 Guoxia Wang , Xiaohui Liang , Frederick W. B. Li

Deep Neural Networks (DNNs) are typically trained by backpropagation in a batch learning setting, which requires the entire training data to be made available prior to the learning task. This is not scalable for many real-world scenarios…

Machine Learning · Computer Science 2017-11-13 Doyen Sahoo , Quang Pham , Jing Lu , Steven C. H. Hoi

The process of training a deep neural network is characterized by significant time requirements and associated costs. Although researchers have made considerable progress in this area, further work is still required due to resource…

Machine Learning · Computer Science 2023-12-29 Sahil Nokhwal , Priyanka Chilakalapudi , Preeti Donekal , Suman Nokhwal , Saurabh Pahune , Ankit Chaudhary

Deep neural networks such as convolutional neural networks (CNNs) and transformers have achieved many successes in image classification in recent years. It has been consistently demonstrated that best practice for image classification is…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Jo Plested , Musa Phiri , Tom Gedeon

We introduce an output layer for neural networks that ensures satisfaction of convex constraints. Our approach, $\Pi$net, leverages operator splitting for rapid and reliable projections in the forward pass, and the implicit function theorem…

Machine Learning · Computer Science 2026-02-19 Panagiotis D. Grontas , Antonio Terpin , Efe C. Balta , Raffaello D'Andrea , John Lygeros

In supervised machine learning, an agent is typically trained once and then deployed. While this works well for static settings, robots often operate in changing environments and must quickly learn new things from data streams. In this…

Machine Learning · Computer Science 2019-02-26 Tyler L. Hayes , Nathan D. Cahill , Christopher Kanan

Neural networks offer high-accuracy solutions to a range of problems, but are costly to run in production systems because of computational and memory requirements during a forward pass. Given a trained network, we propose a techique called…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Michele Pratusevich

We introduce a framework for online learning from a single continuous video stream -- the way people and animals learn, without mini-batches, data augmentation or shuffling. This poses great challenges given the high correlation between…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 João Carreira , Michael King , Viorica Pătrăucean , Dilara Gokay , Cătălin Ionescu , Yi Yang , Daniel Zoran , Joseph Heyward , Carl Doersch , Yusuf Aytar , Dima Damen , Andrew Zisserman

Nowadays deep learning-based methods have achieved a remarkable progress at the image classification task among a wide range of commonly used datasets (ImageNet, CIFAR, SVHN, Caltech 101, SUN397, etc.). SOTA performance on each of the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Kirill Prokofiev , Vladislav Sovrasov

Online continual learning aims to learn from a non-IID stream of data from a number of different tasks, where the learner is only allowed to consider data once. Methods are typically allowed to use a limited buffer to store some of the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Kai Wang , Luis Herranz , Joost van de Weijer