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The infrequent occurrence of overfit in deep neural networks is perplexing. On the one hand, theory predicts that as models get larger they should eventually become too specialized for a specific training set, with ensuing decrease in…

Machine Learning · Computer Science 2023-12-29 Uri Stern , Daphna Weinshall

Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs). They are very appealing at…

Numerical Analysis · Mathematics 2022-05-11 A. Beguinet , V. Ehrlacher , R. Flenghi , M. Fuente , O. Mula , A. Somacal

In this work, we investigate the understudied effect of the training data used for image super-resolution (SR). Most commonly, novel SR methods are developed and benchmarked on common training datasets such as DIV2K and DF2K. However, we…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Go Ohtani , Ryu Tadokoro , Ryosuke Yamada , Yuki M. Asano , Iro Laina , Christian Rupprecht , Nakamasa Inoue , Rio Yokota , Hirokatsu Kataoka , Yoshimitsu Aoki

Uncertainty estimation in deep learning has become a leading research field in medical image analysis due to the need for safe utilisation of AI algorithms in clinical practice. Most approaches for uncertainty estimation require sampling…

Image and Video Processing · Electrical Eng. & Systems 2022-04-12 Kaisar Kushibar , Víctor Manuel Campello , Lidia Garrucho Moras , Akis Linardos , Petia Radeva , Karim Lekadir

We learn to compute optical flow by combining a classical spatial-pyramid formulation with deep learning. This estimates large motions in a coarse-to-fine approach by warping one image of a pair at each pyramid level by the current flow…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Anurag Ranjan , Michael J. Black

A Physics-Informed Neural Network (PINN) provides a distinct advantage by synergizing neural networks' capabilities with the problem's governing physical laws. In this study, we introduce an innovative approach for solving seepage problems…

Computational Engineering, Finance, and Science · Computer Science 2023-11-28 Tianfu Luo , Yelin Feng , Qingfu Huang , Zongliang Zhang , Mingjiao Yan , Zaihong Yang , Dawei Zheng , Yang Yang

Keypoint detection is the foundation of many computer vision tasks, including image registration, structure-from-motion, 3D reconstruction, visual odometry, and SLAM. Traditional detectors (SIFT, ORB, BRISK, FAST, etc.) and learning-based…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Shaharyar Ahmed Khan Tareen , Filza Khan Tareen , Xiaojing Yuan

Neural Networks (NN), although successfully applied to several Artificial Intelligence tasks, are often unnecessarily over-parametrised. In edge/fog computing, this might make their training prohibitive on resource-constrained devices,…

Machine Learning · Computer Science 2022-01-20 Lorenzo Valerio , Franco Maria Nardini , Andrea Passarella , Raffaele Perego

Continual learning in online scenario aims to learn a sequence of new tasks from data stream using each data only once for training, which is more realistic than in offline mode assuming data from new task are all available. However, this…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Jiangpeng He , Fengqing Zhu

The increase of available large clinical and experimental datasets has contributed to a substantial amount of important contributions in the area of biomedical image analysis. Image segmentation, which is crucial for any quantitative…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Nikhil Kumar Tomar , Debesh Jha , Michael A. Riegler , Håvard D. Johansen , Dag Johansen , Jens Rittscher , Pål Halvorsen , Sharib Ali

Deep learning methods have typically been trained on large datasets in which many training examples are available. However, many real-world product datasets have only a small number of images available for each product. We explore the use…

Computer Vision and Pattern Recognition · Computer Science 2015-07-31 David Held , Sebastian Thrun , Silvio Savarese

We show that the matching problem that underlies optical flow requires multiple strategies, depending on the amount of image motion and other factors. We then study the implications of this observation on training a deep neural network for…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Tal Schuster , Lior Wolf , David Gadot

Physics-informed neural networks (PINNs) have proven to be a promising method for the rapid solving of partial differential equations (PDEs) in both forward and inverse problems. However, due to the smoothness assumption of functions…

Computational Physics · Physics 2026-03-25 Guoqiang Lei , D. Exposito , Xuerui Mao

We address the challenging problem of efficient inference across many devices and resource constraints, especially on edge devices. Conventional approaches either manually design or use neural architecture search (NAS) to find a specialized…

Machine Learning · Computer Science 2020-05-01 Han Cai , Chuang Gan , Tianzhe Wang , Zhekai Zhang , Song Han

Physics-informed Neural Networks (PINNs) have been shown as a promising approach for solving both forward and inverse problems of partial differential equations (PDEs). Meanwhile, the neural operator approach, including methods such as Deep…

Machine Learning · Computer Science 2023-10-31 Bin Lin , Zhiping Mao , Zhicheng Wang , George Em Karniadakis

A physics-informed neural network (PINN), which has been recently proposed by Raissi et al [J. Comp. Phys. 378, pp. 686-707 (2019)], is applied to the partial differential equation (PDE) of liquid film flows. The PDE considered is the time…

In this work, we propose a learning method for solving the linear transport equation under the diffusive scaling. Due to the multiscale nature of our model equation, the model is challenging to solve by using conventional methods. We employ…

Numerical Analysis · Mathematics 2021-02-25 Liu Liu , Tieyong Zeng , Zecheng Zhang

Physics-Informed Neural Networks (PINNs) offer a flexible paradigm for solving differential equations by embedding governing laws into the training objective. A persistent limitation is instance specificity: standard PINNs typically require…

Machine Learning · Computer Science 2026-05-05 Yiqi Rao , Pavlos Protopapas

As one of most fascinating machine learning techniques, deep neural network (DNN) has demonstrated excellent performance in various intelligent tasks such as image classification. DNN achieves such performance, to a large extent, by…

Computer Vision and Pattern Recognition · Computer Science 2018-03-16 Zihao Liu , Tao Liu , Wujie Wen , Lei Jiang , Jie Xu , Yanzhi Wang , Gang Quan

Physics informed neural networks (PINNs) have recently been very successfully applied for efficiently approximating inverse problems for PDEs. We focus on a particular class of inverse problems, the so-called data assimilation or unique…

Numerical Analysis · Mathematics 2023-12-07 Siddhartha Mishra , Roberto Molinaro
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