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The simulation of complex physical systems using a discretized mesh is a cornerstone of applied mechanics, but traditional numerical solvers are often computationally prohibitive for many-query tasks. While Graph Neural Networks (GNNs) have…

Machine Learning · Computer Science 2025-09-24 Kangzheng Liu , Leixin Ma

Although deep learning has made strides in the field of deep noise suppression, leveraging deep architectures on resource-constrained devices still proved challenging. Therefore, we present an early-exiting model based on nsNet2 that…

Designing controllers that achieve task objectives while ensuring safety is a key challenge in control systems. This work introduces Opt-ODENet, a Neural ODE framework with a differentiable Quadratic Programming (QP) optimization layer to…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Keyan Miao , Liqun Zhao , Han Wang , Konstantinos Gatsis , Antonis Papachristodoulou

Graph neural networks (GNNs) naturally align with sparse operators and unstructured discretizations, making them a promising paradigm for physics-informed machine learning in computational mechanics. Motivated by discrete physics losses and…

Machine Learning · Computer Science 2026-02-10 Jianchuan Yang , Xi Chen , Jidong Zhao

Inverse microstructure design plays a central role in materials discovery, yet remains challenging due to the complexity of structure-property linkages and the scarcity of labeled training data. We propose Design-GenNO, a physics-informed…

Mathematical Physics · Physics 2025-09-11 Yaohua Zang , Phaedon-Stelios Koutsourelakis

Coherent noise regularly plagues seismic recordings, causing artefacts and uncertainties in products derived from down-the-line processing and imaging tasks. The outstanding capabilities of deep learning in denoising of natural and medical…

Geophysics · Physics 2022-06-02 Sixiu Liu , Claire Birnie , Tariq Alkhalifah

Neural operators aim to learn mappings between infinite-dimensional function spaces, but their performance often degrades on complex or irregular geometries due to the lack of geometry-aware representations. We propose the Finite Element…

Numerical Analysis · Mathematics 2026-02-03 Shiyuan Li , Hossein Salahshoor

The DeepFilterNet (DFN) architecture was recently proposed as a deep learning model suited for hearing aid devices. Despite its competitive performance on numerous benchmarks, it still follows a `one-size-fits-all' approach, which aims to…

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei

The widespread use of neural networks across different scientific domains often involves constraining them to satisfy certain symmetries, conservation laws, or other domain knowledge. Such constraints are often imposed as soft penalties…

Machine Learning · Computer Science 2020-01-15 Sifan Wang , Yujun Teng , Paris Perdikaris

High-quality Fourier Transform Infrared (FTIR) imaging usually needs extensive signal averaging to reduce noise and drift which severely limits clinical speed. Deep learning can accelerate imaging by reconstructing spectra from rapid,…

Image and Video Processing · Electrical Eng. & Systems 2026-01-30 Azadeh Mokari , Shravan Raghunathan , Artem Shydliukh , Oleg Ryabchykov , Christoph Krafft , Thomas Bocklitz

In this paper, we investigate learning-based MIMO-OFDM symbol detection strategies focusing on a special recurrent neural network (RNN) -- reservoir computing (RC). We first introduce the Time-Frequency RC to take advantage of the…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Zhou Zhou , Lingjia Liu , Shashank Jere , Jianzhong , Zhang , Yang Yi

Predicting stress fields in hyperelastic materials with complex microstructures remains challenging for traditional deep learning surrogates, which struggle to capture both sharp stress concentrations and the wide dynamic range of stress…

Machine Learning · Statistics 2026-03-20 Purna Vindhya Kota , Meer Mehran Rashid , Somdatta Goswami , Lori Graham-Brady

Most noninvasive imaging techniques utilize electromagnetic or acoustic waves originating from multiple locations and directions to identify hidden geometrical structures. Surprisingly, it is also possible to image hidden voids and…

Computational Engineering, Finance, and Science · Computer Science 2025-02-18 Saviz Mowlavi , Ken Kamrin

Deep learning (DL) models have achieved strong performance in an intelligence healthcare setting, yet most existing approaches operate as black boxes and ignore the physical processes that govern tumor growth, limiting interpretability,…

Machine Learning · Computer Science 2026-03-31 Pulock Das , Al Amin , Kamrul Hasan , Rohan Thompson , Azubike D. Okpalaeze , Liang Hong

The primary goal of this research is to propose a novel architecture for a deep neural network that can solve fractional differential equations accurately. A Gaussian integration rule and a $L_1$ discretization technique are used in the…

Machine Learning · Computer Science 2023-09-15 Ali Nosrati Firoozsalari , Hassan Dana Mazraeh , Alireza Afzal Aghaei , Kourosh Parand

Biological data including gene expression data are generally high-dimensional and require efficient, generalizable, and scalable machine-learning methods to discover their complex nonlinear patterns. The recent advances in machine learning…

Machine Learning · Computer Science 2020-12-21 Dinesh Singh , Héctor Climente-González , Mathis Petrovich , Eiryo Kawakami , Makoto Yamada

Neural operators, which aim to approximate mappings between infinite-dimensional function spaces, have been widely applied in the simulation and prediction of physical systems. However, the limited representational capacity of network…

Machine Learning · Computer Science 2025-06-03 Jin Song , Kenji Kawaguchi , Zhenya Yan

We consider solving complex spatiotemporal dynamical systems governed by partial differential equations (PDEs) using frequency domain-based discrete learning approaches, such as Fourier neural operators. Despite their widespread use for…

Machine Learning · Computer Science 2024-07-17 Qingsong Xu , Nils Thuerey , Yilei Shi , Jonathan Bamber , Chaojun Ouyang , Xiao Xiang Zhu

This paper considers the problem of extracting building footprints from satellite imagery -- a task that is critical for many urban planning and decision-making applications. While recent advancements in deep learning have made great…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Muhammad Ahmad Waseem , Muhammad Tahir , Zubair Khalid , Momin Uppal