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Inverse problems describe the task of recovering an underlying signal of interest given observables. Typically, the observables are related via some non-linear forward model applied to the underlying unknown signal. Inverting the non-linear…

Signal Processing · Electrical Eng. & Systems 2023-05-19 Jihui Jin , Etienne Ollivier , Richard Touret , Matthew McKinley , Karim G. Sabra , Justin K. Romberg

Accurately mapping the radio environment (e.g., identifying wireless signal strength at specific frequency bands and geographic locations) is crucial for efficient spectrum sharing, enabling secondary users (SUs) to access underutilized…

Signal Processing · Electrical Eng. & Systems 2025-02-28 Mukaram Shahid , Kunal Das , Hadia Ushaq , Hongwei Zhang , Jimming Song , Daji Qiao , Sarath Babu , Yong Guan , Zhengyuan Zhu , Arsalan Ahmed

Physics-informed machine learning (PIML) integrates prior physical information, often in the form of differential equation constraints, into the process of fitting machine learning models to physical data. Popular PIML approaches, including…

Machine Learning · Statistics 2025-10-31 Mara Daniels , Liam Hodgkinson , Michael Mahoney

We propose Coordinate-based Internal Learning (CoIL) as a new deep-learning (DL) methodology for the continuous representation of measurements. Unlike traditional DL methods that learn a mapping from the measurements to the desired image,…

Image and Video Processing · Electrical Eng. & Systems 2021-02-11 Yu Sun , Jiaming Liu , Mingyang Xie , Brendt Wohlberg , Ulugbek S. Kamilov

Physics-informed machine learning (PIML) integrates partial differential equations (PDEs) into machine learning models to solve inverse problems, such as estimating coefficient functions (e.g., the Hamiltonian function) that characterize…

Computational Physics · Physics 2025-11-07 Yoh-ichi Mototake , Makoto Sasaki

Large-scale wave field reconstruction requires precise solutions but faces challenges with computational efficiency and accuracy. The physics-based numerical methods like Finite Element Method (FEM) provide high accuracy but struggle with…

Machine Learning · Computer Science 2026-03-04 Huiwen Zhang , Feng Ye , Chu Ma

Physics-Informed Neural Networks have become a powerful mesh-free method for solving partial differential equations, but their performance is often limited by spectral bias. Specifically, in standard MLPs used in PINNs, the global parameter…

Machine Learning · Computer Science 2026-05-04 Jianfeng Li , Feng Wang , Ke Tang

Inverse problems can be described as limited-data problems in which the signal of interest cannot be observed directly. A physics-based forward model that relates the signal with the observations is typically needed. Unfortunately, unknown…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Alexandra Koulouri , Ville Rimpilainen

We study federated edge learning (FEEL), where wireless edge devices, each with its own dataset, learn a global model collaboratively with the help of a wireless access point acting as the parameter server (PS). At each iteration, wireless…

Information Theory · Computer Science 2020-10-21 Mohammad Mohammadi Amiri , Tolga M. Duman , Deniz Gunduz , Sanjeev R. Kulkarni , H. Vincent Poor

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

We address the problem of robot guided assembly tasks, by using a learning-based approach to identify contact model parameters for known and novel parts. First, a Variational Autoencoder (VAE) is used to extract geometric features of…

Robotics · Computer Science 2024-12-12 Constantin Schempp , Christian Friedrich

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

Machine Learning · Statistics 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

Physics-informed machine learning has been a promising data-driven and physics-informed approach in geotechnical engineering. This study proposes a physics-informed extreme learning machine (PIELM) framework for analyzing tunneling-induced…

Machine Learning · Computer Science 2025-10-02 Fu-Chen Guo , Pei-Zhi Zhuang , Fei Ren , Hong-Ya Yue , He Yang

For an ensemble of nonlinear systems that model, for instance, molecules or photonic systems, we propose a method that finds efficiently the configuration that has prescribed transfer properties. Specifically, we use physics-informed…

Computational Physics · Physics 2021-08-11 G. D. Barmparis , G. P. Tsironis

We present a novel approach to modeling the ground state mass of atomic nuclei based directly on a probabilistic neural network constrained by relevant physics. Our Physically Interpretable Machine Learning (PIML) approach incorporates…

Nuclear Theory · Physics 2022-08-17 M. R. Mumpower , T. M. Sprouse , A. E. Lovell , A. T. Mohan

In this paper, we develop a deep learning approach for the accurate solution of challenging problems of near-field microscopy that leverages the powerful framework of physics-informed neural networks (PINNs) for the inversion of the complex…

Optics · Physics 2024-06-12 Yuyao Chen , Luca Dal Negro

As the key component that facilitates long-haul transmission in optical fiber communications by increasing capacity and reducing costs, accurate characterization and gain settings of erbium-doped fiber amplifiers (EDFAs) are essential for…

Optics · Physics 2025-02-24 Xiaotian Jiang , Jiawei Dong , Yuchen Song , Jin Li , Min Zhang , Danshi Wang

Physics-informed machine learning (PIML) is an emerging framework that integrates physical knowledge into machine learning models. This physical prior often takes the form of a partial differential equation (PDE) system that the regression…

Machine Learning · Statistics 2025-07-15 Nathan Doumèche

There is growing interest in using machine learning (ML) methods for structural metamodeling due to the substantial computational cost of traditional simulations. Purely data-driven strategies often face limitations in model robustness,…

Applied Physics · Physics 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

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…

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