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The use of Physics-informed neural networks (PINNs) has shown promise in solving forward and inverse problems of fractional diffusion equations. However, due to the fact that automatic differentiation is not applicable for fractional…

Numerical Analysis · Mathematics 2023-04-04 Xiong-Bin Yan , Zhi-Qin John Xu , Zheng Ma

Deep neural networks (DNNs) have been widely used in computer vision tasks like image classification, object detection and segmentation. Whereas recent studies have shown their vulnerability to manual digital perturbations or distortion in…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Chengyin Hu , Weiwen Shi

We introduce Deep Neural Programs (DNP), a novel programming paradigm for writing adaptive controllers for cy-ber-physical systems (CPS). DNP replace if and while statements, whose discontinuity is responsible for undecidability in CPS…

Artificial Intelligence · Computer Science 2015-02-16 Konstantin Selyunin , Denise Ratasich , Ezio Bartocci , Radu Grosu

Physics-Informed Neural Networks (PINNs) are effective methods for solving inverse problems and discovering governing equations from observational data. However, their performance degrades significantly under complex measurement noise and…

Machine Learning · Computer Science 2026-02-04 Hankyeol Kim , Pilsung Kang

We develop a physics-informed neural networks (PINNs) framework for the inverse scattering problem in nuclear physics and apply it to the $P_{3/2}$ partial wave of neutron-alpha elastic scattering. The radial potential is represented by a…

We propose a method to use artificial neural networks to approximate light scattering by multilayer nanoparticles. We find the network needs to be trained on only a small sampling of the data in order to approximate the simulation to high…

Deep neural networks (DNNs) have numerous applications across various domains. Several optimization techniques, such as ResNet and SENet, have been proposed to improve model accuracy. These techniques improve the model performance by…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Wenxiang Xu , Tian Qiu , Linyun Zhou , Zunlei Feng , Mingli Song , Huiqiong Wang

Originally designed for applications in computer graphics, visual computing (VC) methods synthesize information about physical and virtual worlds, using prescribed algorithms optimized for spatial computing. VC is used to analyze geometry,…

Deep neural networks as image priors have been recently introduced for problems such as denoising, super-resolution and inpainting with promising performance gains over hand-crafted image priors such as sparsity and low-rank. Unlike learned…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Gauri Jagatap , Chinmay Hegde

Neural Operators offer a powerful, data-driven tool for solving parametric PDEs as they can represent maps between infinite-dimensional function spaces. In this work, we employ physics-informed Neural Operators in the context of…

Machine Learning · Statistics 2023-03-08 Sebastian Kaltenbach , Paris Perdikaris , Phaedon-Stelios Koutsourelakis

Resolving the diffusion coefficient is a key element in many biological and engineering systems, including pharmacological drug transport and fluid mechanics analyses. Additionally, these systems often have spatial variation in the…

Quantitative Methods · Quantitative Biology 2024-03-08 Sukirt Thakur , Ehsan Esmaili , Sarah Libring , Luis Solorio , Arezoo M. Ardekani

Physics-Informed Neural Networks (PINNs) offer a promising approach to solving differential equations and, more generally, to applying deep learning to problems in the physical sciences. We adopt a recently developed transfer learning…

Machine Learning · Computer Science 2022-11-02 Raphaël Pellegrin , Blake Bullwinkel , Marios Mattheakis , Pavlos Protopapas

Electromagnetic inverse scattering problems (ISPs) aim to retrieve permittivities of dielectric scatterers from the scattering measurement. It is often highly nonlinear, caus-ing the problem to be very difficult to solve. To alleviate the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Huilin Zhou , Tao Ouyang , Yadan Li , Jian Liu , Qiegen Liu

Deep convolutional neural networks (DCNNs) have attracted much attention recently, and have shown to be able to recognize thousands of object categories in natural image databases. Their architecture is somewhat similar to that of the human…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Saeed Reza Kheradpisheh , Masoud Ghodrati , Mohammad Ganjtabesh , Timothée Masquelier

Distributed deep neural networks (DNNs) have been shown to reduce the computational burden of mobile devices and decrease the end-to-end inference latency in edge computing scenarios. While distributed DNNs have been studied, to the best of…

Machine Learning · Computer Science 2025-10-02 Milin Zhang , Mohammad Abdi , Jonathan Ashdown , Francesco Restuccia

This paper proposes a meshless deep learning algorithm, enriched physics-informed neural networks (EPINNs), to solve dynamic Poisson-Nernst-Planck (PNP) equations with strong coupling and nonlinear characteristics. The EPINNs takes the…

Machine Learning · Computer Science 2024-02-06 Xujia Huang , Fajie Wang , Benrong Zhang , Hanqing Liu

We propose distributed deep neural networks (DDNNs) over distributed computing hierarchies, consisting of the cloud, the edge (fog) and end devices. While being able to accommodate inference of a deep neural network (DNN) in the cloud, a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-08 Surat Teerapittayanon , Bradley McDanel , H. T. Kung

Deep neural networks (DNNs) have emerged as key enablers of machine learning. Applying larger DNNs to more diverse applications is an important challenge. The computations performed during DNN training and inference are dominated by…

Machine Learning · Computer Science 2018-12-17 Jeremy Kepner , Vijay Gadepally , Hayden Jananthan , Lauren Milechin , Sid Samsi

Recent years have witnessed the significant success of applying graph neural networks (GNNs) in learning effective node representations for classification. However, current GNNs are mostly built under the balanced data-splitting, which is…

Machine Learning · Computer Science 2021-10-26 Yu Wang , Charu Aggarwal , Tyler Derr

Recent methods have shown that pre-trained diffusion models can be fine-tuned to enable generative inverse rendering by learning image-conditioned noise-to-intrinsic mapping. Despite their remarkable progress, they struggle to robustly…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Rongjia Zheng , Qing Zhang , Chengjiang Long , Wei-Shi Zheng