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We revisit the original approach of using deep learning and neural networks to solve differential equations by incorporating the knowledge of the equation. This is done by adding a dedicated term to the loss function during the optimization…

Machine Learning · Computer Science 2023-04-05 Hubert Baty , Leo Baty

Physics informed neural networks (PINNs) have proven to be an efficient tool to represent problems for which measured data are available and for which the dynamics in the data are expected to follow some physical laws. In this paper, we…

Machine Learning · Computer Science 2023-06-14 Fabian Heldmann , Sarah Berkhahn , Matthias Ehrhardt , Kathrin Klamroth

Physics-informed neural networks (PINNs) have recently received much attention due to their capabilities in solving both forward and inverse problems. For training a deep neural network associated with a PINN, one typically constructs a…

Machine Learning · Computer Science 2022-08-26 Pouyan Nasiri , Roozbeh Dargazany

Today's general-purpose deep convolutional neural networks (CNN) for image classification and object detection are trained offline on large static datasets. Some applications, however, will require training in real-time on live video…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Ervin Teng , João Diogo Falcão , Bob Iannucci

The recent ground-breaking advances in deep learning networks ( DNNs ) make them attractive for embedded systems. However, it can take a long time for DNNs to make an inference on resource-limited embedded devices. Offloading the…

Performance · Computer Science 2018-05-14 Ben Taylor , Vicent Sanz Marco , Willy Wolff , Yehia Elkhatib , Zheng Wang

Unsupervised deep learning for optical flow computation has achieved promising results. Most existing deep-net based methods rely on image brightness consistency and local smoothness constraint to train the networks. Their performance…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Yiran Zhong , Pan Ji , Jianyuan Wang , Yuchao Dai , Hongdong Li

Physics-informed neural networks (PINNs) have been applied to simulate multiphase flows, yet they are limited in modeling phase changes and sharp interfaces due to optimization conflicts in the strongly coupled Allen-Cahn, Cahn-Hilliard,…

Computational Physics · Physics 2026-01-22 Guoqiang Lei , Zhihua Wang , Lijing Zhou , D. Exposito , Xuerui Mao

A physics-informed neural network (PINN) that combines deep learning with physics is studied to solve the nonlinear Schr\"odinger equation for learning nonlinear dynamics in fiber optics. We carry out a systematic investigation and…

Optics · Physics 2021-09-03 Xiaotian Jiang , Danshi Wang , Qirui Fan , Min Zhang , Chao Lu , Alan Pak Tao Lau

Heterogeneous information networks (HINs) can be used to model various real-world systems. As HINs consist of multiple types of nodes, edges, and node features, it is nontrivial to directly apply graph neural network (GNN) techniques in…

Machine Learning · Computer Science 2025-01-15 Zhaoqing Li , Maiqi Jiang , Shengyuan Chen , Bo Li , Guorong Chen , Xiao Huang

Physics-Informed Neural Network (PINN) is a novel multi-task learning framework useful for solving physical problems modeled using differential equations (DEs) by integrating the knowledge of physics and known constraints into the…

Machine Learning · Computer Science 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

We present semi-supervised deep learning approaches for traversability estimation from fisheye images. Our method, GONet, and the proposed extensions leverage Generative Adversarial Networks (GANs) to effectively predict whether the area…

Robotics · Computer Science 2018-03-09 Noriaki Hirose , Amir Sadeghian , Marynel Vázquez , Patrick Goebel , Silvio Savarese

Although deep learning approaches have stood out in recent years due to their state-of-the-art results, they continue to suffer from catastrophic forgetting, a dramatic decrease in overall performance when training with new classes added…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Francisco M. Castro , Manuel J. Marín-Jiménez , Nicolás Guil , Cordelia Schmid , Karteek Alahari

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

Machine Learning · Computer Science 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

In supervised continual learning, a deep neural network (DNN) is updated with an ever-growing data stream. Unlike the offline setting where data is shuffled, we cannot make any distributional assumptions about the data stream. Ideally, only…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Md Yousuf Harun , Jhair Gallardo , Tyler L. Hayes , Ronald Kemker , Christopher Kanan

Physics informed neural networks (PINNs) are nowadays used as efficient machine learning methods for solving differential equations. However, vanilla-PINNs fail to learn complex problems as ones involving stiff ordinary differential…

Computational Physics · Physics 2023-04-18 Hubert Baty

Physics-informed neural networks (PINNs) have received significant attention as a unified framework for forward, inverse, and surrogate modeling of problems governed by partial differential equations (PDEs). Training PINNs for forward…

Machine Learning · Computer Science 2022-06-22 Ehsan Haghighat , Danial Amini , Ruben Juanes

Despite the astonishing performance of deep-learning based approaches for visual tasks such as semantic segmentation, they are known to produce miscalibrated predictions, which could be harmful for critical decision-making processes.…

Image and Video Processing · Electrical Eng. & Systems 2021-05-25 Agostina J. Larrazabal , César Martínez , Jose Dolz , Enzo Ferrante

Physics-Informed Neural Networks (PINNs) are a class of deep neural networks that are trained, using automatic differentiation, to compute the response of systems governed by partial differential equations (PDEs). The training of PINNs is…

Machine Learning · Computer Science 2021-04-27 Mohammad Amin Nabian , Rini Jasmine Gladstone , Hadi Meidani

In recent years, deep learning methods have been extensively developed for inverse imaging problems (IIPs), encompassing supervised, self-supervised, and generative approaches. Most of these methods require large amounts of labeled or…

Image and Video Processing · Electrical Eng. & Systems 2025-12-04 Ismail Alkhouri , Evan Bell , Avrajit Ghosh , Shijun Liang , Rongrong Wang , Saiprasad Ravishankar

To achieve a low computational cost when performing online metric learning for large-scale data, we present a one-pass closed-form solution namely OPML in this paper. Typically, the proposed OPML first adopts a one-pass triplet construction…

Machine Learning · Computer Science 2016-09-30 Wenbin Li , Yang Gao , Lei Wang , Luping Zhou , Jing Huo , Yinghuan Shi
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