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In this article, we propose a super-resolution method to resolve the problem of image low spatial because of the limitation of imaging devices. We make use of the strong non-linearity mapped ability of the back-propagation neural…

Computer Vision and Pattern Recognition · Computer Science 2016-12-15 Zeling Wu , Haoxiang Wang

In this study, we propose a new numerical scheme for physics-informed neural networks (PINNs) that enables precise and inexpensive solution for partial differential equations (PDEs) in case of arbitrary geometries while strictly enforcing…

Numerical Analysis · Mathematics 2024-07-30 Hamed Saidaoui , Luis Espath , Rául Tempone

This study introduces PINN4PF, an end-to-end deep learning architecture for power flow (PF) analysis that effectively captures the nonlinear dynamics of large-scale modern power systems. The proposed neural network (NN) architecture…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Zeynab Kaseb , Stavros Orfanoudakis , Pedro P. Vergara , Peter Palensky

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

Contrary to the traditional pursuit of research on nonuniform sampling of bandlimited signals, the objective of the present paper is not to find sampling conditions that permit perfect reconstruction, but to perform the best possible signal…

Signal Processing · Electrical Eng. & Systems 2024-04-05 Nguyen T. Thao , Dominik Rzepka , Marek Miskowicz

Parameter estimation for differential equations from measured data is an inverse problem prevalent across quantitative sciences. Physics-Informed Neural Networks (PINNs) have emerged as effective tools for solving such problems, especially…

Machine Learning · Computer Science 2025-04-08 Marius Almanstötter , Roman Vetter , Dagmar Iber

Among interpretable machine learning methods, the class of Generalised Additive Neural Networks (GANNs) is referred to as Self-Explaining Neural Networks (SENN) because of the linear dependence on explicit functions of the inputs. In binary…

Machine Learning · Computer Science 2021-06-17 Paulo J. G. Lisboa , Sandra Ortega-Martorell , Sadie Cashman , Ivan Olier

Systems biology and systems neurophysiology in particular have recently emerged as powerful tools for a number of key applications in the biomedical sciences. Nevertheless, such models are often based on complex combinations of multiscale…

Neural and Evolutionary Computing · Computer Science 2022-09-27 Matteo Ferrante , Andera Duggento , Nicola Toschi

Accurate solutions to inverse supersonic compressible flow problems are often required for designing specialized aerospace vehicles. In particular, we consider the problem where we have data available for density gradients from Schlieren…

Numerical Analysis · Mathematics 2022-07-27 Ameya D. Jagtap , Zhiping Mao , Nikolaus Adams , George Em Karniadakis

In many tasks, in particular in natural science, the goal is to determine hidden system parameters from a set of measurements. Often, the forward process from parameter- to measurement-space is a well-defined function, whereas the inverse…

Physics-based inverse modeling techniques are typically restricted to particular research fields, whereas popular machine-learning-based ones are too data-dependent to guarantee the physical compatibility of the solution. In this paper,…

Neural and Evolutionary Computing · Computer Science 2023-01-18 Ruiyuan Kang , Dimitrios C. Kyritsis , Panos Liatsis

We introduce a novel Pseudo-Negative Regularization (PNR) framework for effective continual self-supervised learning (CSSL). Our PNR leverages pseudo-negatives obtained through model-based augmentation in a way that newly learned…

Machine Learning · Computer Science 2024-06-10 Sungmin Cha , Kyunghyun Cho , Taesup Moon

Due to the curse of dimensionality and the limitation on training data, approximating high-dimensional functions is a very challenging task even for powerful deep neural networks. Inspired by the Nonlinear Level set Learning (NLL) method…

Machine Learning · Computer Science 2021-12-03 Yuankai Teng , Zhu Wang , Lili Ju , Anthony Gruber , Guannan Zhang

Coherent imaging through scatter is a challenging task in computational imaging. Both model-based and data-driven approaches have been explored to solve the inverse scattering problem. In our previous work, we have shown that a deep…

Optics · Physics 2021-02-03 Yuzhe Li , Shiyi Cheng , Yujia Xue , Lei Tian

There has been a growing interest in the use of Deep Neural Networks (DNNs) to solve Partial Differential Equations (PDEs). Despite the promise that such approaches hold, there are various aspects where they could be improved. Two such…

Machine Learning · Computer Science 2022-12-26 Amuthan A. Ramabathiran , Prabhu Ramachandran

In many cases, the computing resources are limited without the benefit from GPU, especially in the edge devices of IoT enabled systems. It may not be easy to implement complex AI models in edge devices. The Universal Approximation Theorem…

Neural and Evolutionary Computing · Computer Science 2021-05-10 Hongmei He , Mengyuan Chen , Gang Xu , Zhilong Zhu , Zhenhuan Zhu

Noncontact exfiltration of electronic screen content poses a security challenge, with side-channel incursions as the principal vector. We introduce an optical projection side-channel paradigm that confronts two core instabilities: (i) the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Zhiwen Zheng , Yuheng Qiao , Xiaoshuai Zhang , Zhao Huang , Tao Zhang , Huiyu Zhou , Shaowei Jiang , Jin Liu , Wenwen Tang , Xingru Huang

Non-injective functions are not globally invertible. However, they can often be restricted to locally injective subdomains where the inversion is well-defined. In many settings a preferred solution can be selected even when multiple valid…

Machine Learning · Computer Science 2026-02-19 Sebastian J. Wetzel

An iterative method of learning has become a paradigm for training deep convolutional neural networks (DCNN). However, utilizing a non-iterative learning strategy can accelerate the training process of the DCNN and surprisingly such…

Machine Learning · Computer Science 2018-09-18 Yimin Yang , Q. M. Jonathan Wu , Xiexing Feng , Thangarajah Akilan

Eigenvalue problems have a distinctive forward-inverse structure and are fundamental to characterizing a system's thermal response, stability, and natural modes. Physics-Informed Neural Networks (PINNs) offer a mesh-free alternative for…

Machine Learning · Computer Science 2025-11-04 Akshay Sai Banderwaar , Abhishek Gupta
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