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This paper presents NSGA-PINN, a multi-objective optimization framework for effective training of Physics-Informed Neural Networks (PINNs). The proposed framework uses the Non-dominated Sorting Genetic Algorithm (NSGA-II) to enable…

Machine Learning · Computer Science 2023-03-08 Binghang Lu , Christian B. Moya , Guang Lin

There has been growing interest in extending the coverage of ground PM2.5 monitoring networks based on satellite remote sensing data. With broad spatial and temporal coverage, satellite based monitoring network has a strong potential to…

Applications · Statistics 2018-09-14 Yikai Wang , Xuefei Hu , Howard Chang , Lance Waller , Jessica Belle , Yang Liu

Physics-informed neural networks (PINNs) offer a mesh-free framework for solving partial differential equations (PDEs), yet training often suffers from gradient pathologies, spectral bias, and poor convergence, especially for problems with…

Machine Learning · Computer Science 2026-05-20 Jianan Yang , Yiran Wang , Shuai Li , Fujun Cao , Xuefei Yan , Junmin Liu

One of the techniques for estimating the surface particle concentration with a diameter of fewer than 2.5 micrometers (PM2.5) is using aerosol optical depth (AOD) products. Different AOD products are retrieved from various satellite…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Ali Mirzaei , Hossein Bagheri , Mehran Sattari

We introduce an optimized physics-informed neural network (PINN) trained to solve the problem of identifying and characterizing a surface breaking crack in a metal plate. PINNs are neural networks that can combine data and physics in the…

Machine Learning · Computer Science 2020-05-09 Khemraj Shukla , Patricio Clark Di Leoni , James Blackshire , Daniel Sparkman , George Em Karniadakis

Reinforcement learning in discrete combinatorial action spaces requires searching over exponentially many joint actions to simultaneously select multiple sub-actions that form coherent combinations. Existing approaches either simplify…

Machine Learning · Computer Science 2026-01-29 Matthew Landers , Taylor W. Killian , Thomas Hartvigsen , Afsaneh Doryab

It is widely acknowledged that the development of traditional terrestrial communication technologies cannot provide all users with fair and high quality services due to the scarce network resource and limited coverage areas. To complement…

Networking and Internet Architecture · Computer Science 2018-08-06 Nei Kato , Zubair Md. Fadlullah , Fengxiao Tang , Bomin Mao , Shigenori Tani , Atsushi Okamura , Jiajia Liu

In radio astronomy, the challenge of reconstructing a sky map from time ordered data (TOD) is known as an inverse problem. Standard map-making techniques and gridding algorithms are commonly employed to address this problem, each offering…

Instrumentation and Methods for Astrophysics · Physics 2023-06-28 Haolin Zhang , Shifan Zuo , Le Zhang

We present a general learning-based solution for restoring images suffering from spatially-varying degradations. Prior approaches are typically degradation-specific and employ the same processing across different images and different pixels…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Kuldeep Purohit , Maitreya Suin , A. N. Rajagopalan , Vishnu Naresh Boddeti

In solving partial differential equations (PDEs), machine learning utilizing physical laws has received considerable attention owing to advantages such as mesh-free solutions, unsupervised learning, and feasibility for solving…

Machine Learning · Computer Science 2026-03-25 Tetsuro Tsuchino , Motoki Shiga

Road extraction is an essential step in building autonomous navigation systems. Detecting road segments is challenging as they are of varying widths, bifurcated throughout the image, and are often occluded by terrain, cloud, or other…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Wele Gedara Chaminda Bandara , Jeya Maria Jose Valanarasu , Vishal M. Patel

In recent years, Scientific Machine Learning (SciML) methods for solving partial differential equations (PDEs) have gained increasing popularity. Within such a paradigm, Physics-Informed Neural Networks (PINNs) are novel deep learning…

Numerical Analysis · Mathematics 2024-04-25 Pasquale Ambrosio , Salvatore Cuomo , Mariapia De Rosa

Deep learning is a machine learning approach that produces excellent performance in various applications, including natural language processing, image identification, and forecasting. Deep learning network performance depends on the…

Machine Learning · Computer Science 2023-06-14 Andri Pranolo , Yingchi Mao , Aji Prasetya Wibawa , Agung Bella Putra Utama , Felix Andika Dwiyanto

Physics--informed neural networks (PINN) have shown their potential in solving both direct and inverse problems of partial differential equations. In this paper, we introduce a PINN-based deep learning approach to reconstruct…

Computational Engineering, Finance, and Science · Computer Science 2024-04-24 Yuxuan Chen , Ce Wang , Yuan Hui , Mark Spivack

Despite the soaring use of convolutional neural networks (CNNs) in mobile applications, uniformly sustaining high-performance inference on mobile has been elusive due to the excessive computational demands of modern CNNs and the increasing…

Machine Learning · Computer Science 2020-08-25 Stefanos Laskaridis , Stylianos I. Venieris , Mario Almeida , Ilias Leontiadis , Nicholas D. Lane

Object manipulation skills are necessary for robots operating in various daily-life scenarios, ranging from warehouses to hospitals. They allow the robots to manipulate the given object to their desired arrangement in the cluttered…

Robotics · Computer Science 2025-08-06 Hanwen Ren , Ruiqi Ni , Ahmed H. Qureshi

The automatic differentiation (AD) in the vanilla physics-informed neural networks (PINNs) is the computational bottleneck for the high-efficiency analysis. The concept of derivative discretization in smoothed particle hydrodynamics (SPH)…

Computational Physics · Physics 2024-11-11 Cunliang Pan , Chengxuan Li , Yu Liu , Yonggang Zheng , Hongfei Ye

With growing investigations into solving partial differential equations by physics-informed neural networks (PINNs), more accurate and efficient PINNs are required to meet the practical demands of scientific computing. One bottleneck of…

Machine Learning · Computer Science 2025-10-29 Tianchi Yu , Yiming Qi , Ivan Oseledets , Shiyi Chen

A physics-informed neural network (PINN) models the dynamics of a system by integrating the governing physical laws into the architecture of a neural network. By enforcing physical laws as constraints, PINN overcomes challenges with data…

Machine Learning · Computer Science 2025-04-23 Pengtao Dang , Tingbo Guo , Melissa Fishel , Guang Lin , Wenzhuo Wu , Sha Cao , Chi Zhang

Satellite-terrestrial integrated networks (STINs) are promising architecture for providing global coverage. In STINs, full frequency reuse between a satellite and a terrestrial base station (BS) is encouraged for aggressive spectrum reuse,…

Information Theory · Computer Science 2024-08-21 Doseon Kim , Sungyoon Cho , Wonjae Shin , Jeonghun Park , Dong Ku Kim