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We present Neural Spectral Methods, a technique to solve parametric Partial Differential Equations (PDEs), grounded in classical spectral methods. Our method uses orthogonal bases to learn PDE solutions as mappings between spectral…

Machine Learning · Computer Science 2024-01-22 Yiheng Du , Nithin Chalapathi , Aditi Krishnapriyan

The recent advances in Deep Neural Networks (DNNs) stem from their exceptional performance across various domains. However, their inherent large size hinders deploying these networks on resource-constrained devices like edge, mobile, and…

Machine Learning · Computer Science 2024-01-22 Divya Jyoti Bajpai , Aastha Jaiswal , Manjesh Kumar Hanawal

We propose a novel Graph Neural Network-based method for segmentation based on data fusion of multimodal Scanning Electron Microscope (SEM) images. In most cases, Backscattered Electron (BSE) images obtained using SEM do not contain…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Samuel Repka , Bořek Reich , Fedor Zolotarev , Tuomas Eerola , Pavel Zemčík

Diffusing wave spectroscopy (DWS) is a well-known set of methods to measure the temporal dynamics of dynamic samples. In DWS, dynamic samples scatter the incident coherent light, and the information of the temporal dynamics is encoded in…

Optics · Physics 2024-06-12 Jian Xu , Ali K. Jahromi , Changhuei Yang

This paper presents a planning strategy for the deployment of smart electromagnetic entities (SEEs) to enhance the wireless coverage and the Quality-of-Service (QoS) in large urban areas. The integration of different technological solutions…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Arianna Benoni , Marco Salucci , Baozhu Li , Andrea Massa

We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial differential equation (PDE) constrained optimization. This…

Optimization and Control · Mathematics 2020-05-28 Oana Marin , Emil Constantinescu , Barry Smith

We propose a decomposition method for the spectral peaks in an observed frequency spectrum, which is efficiently acquired by utilizing the Fast Fourier Transform. In contrast to the traditional methods of waveform fitting on the spectrum,…

Signal Processing · Electrical Eng. & Systems 2022-04-19 Kaan Gokcesu , Hakan Gokcesu

Orthogonal frequency division multiplexing (OFDM) is a widespread modulation but suffers from high out-of-band emissions (OOBE). Spectral shaping strategies such as precoding, active interference cancellation (AIC) and time-domain methods…

Signal Processing · Electrical Eng. & Systems 2025-11-06 Javier Giménez , José A. Cortés , Francisco Javier Cañete , Eduardo Martos-Naya , Luis Díez

We develop an efficient numerical scheme for the 3D mean-field spherical dynamo equation. The scheme is based on a semi-implicit discretization in time and a spectral method in space based on the divergence-free spherical harmonic…

Numerical Analysis · Mathematics 2019-10-04 Ting cheng , Lina Ma , Jie Shen

Obstructions such as raindrops, fences, or dust degrade captured images, especially when mechanical cleaning is infeasible. Conventional solutions to obstructions rely on a bulky compound optics array or computational inpainting, which…

Ever science the invention of solar cells, thermodynamics has been used to assess their performance limits, guiding advances in materials science and photovoltaic technology to reduce the gap between the practical efficiencies and the…

Applied Physics · Physics 2023-06-07 Like Huang

Fully coherent x-rays can be generated by self-seeding x-ray free-electron lasers (XFELs). Self-seeding by a forward Bragg diffraction (FBD) monochromator has been recently proposed [1] and demonstrated [2]. Characteristic time To of FBD…

Accelerator Physics · Physics 2013-12-03 Xi Yang , Yuri Shvyd'ko

This paper investigates the energy efficiency (EE) and spectral efficiency (SE) trade-off in uplink distributed massive multiple-input multiple-output (D-mMIMO) systems. Unlike conventional approaches where power consumption focuses…

Networking and Internet Architecture · Computer Science 2026-01-21 Mohd Saif Ali Khan , Karthik RM , Samar Agnihotri

Two combined methods for computing solutions of time-varying semilinear differential-algebraic equations (descriptor systems) are obtained. When constructing the methods, time-varying spectral projectors which can be found numerically are…

Numerical Analysis · Mathematics 2026-03-18 Maria Filipkovska

A hybrid imaging system is a simultaneous physical arrangement of a refractive lens and a multilevel phase mask (MPM) as a diffractive optical element (DOE). The favorable properties of the hybrid setup are improved extended-depth-of-field…

In this paper, the joint power and subcarrier allocation problem is solved in the context of maximizing the energy-efficiency (EE) of a multi-user, multi-relay orthogonal frequency division multiple access (OFDMA) cellular network, where…

Information Theory · Computer Science 2013-11-08 Kent Tsz Kan Cheung , Shaoshi Yang , Lajos Hanzo

The goal of the present work is to solve a linear dispersive equation with variable coefficient advection on an unbounded domain. In this setting, transparent boundary conditions are vital to allow waves to leave (or even re-enter) the,…

Numerical Analysis · Mathematics 2021-06-09 Lukas Einkemmer , Alexander Ostermann , Mirko Residori

In diffusion MRI (dMRI), a good sampling scheme is important for efficient acquisition and robust reconstruction. Diffusion weighted signal is normally acquired on single or multiple shells in q-space. Signal samples are typically…

Medical Physics · Physics 2017-09-26 Jian Cheng , Dinggang Shen , Pew-Thian Yap , Peter J. Basser

Spectral imaging is a fundamental diagnostic technique with widespread application. Conventional spectral imaging approaches have intrinsic limitations on spatial and spectral resolutions due to the physical components they rely on. To…

Image and Video Processing · Electrical Eng. & Systems 2021-06-07 Figen S. Oktem , Oğuzhan Fatih Kar , Can Deniz Bezek , Farzad Kamalabadi

We present a new scheme of a moderate-resolution spectrograph based on a cascade of serial holographic gratings each of which produces an individual spectrum with a resolution of about 6000 and a bandwidth of 80 nm. The gratings ensure…

Instrumentation and Methods for Astrophysics · Physics 2017-01-04 E. R. Muslimov , N. K. Pavlycheva , G. G. Valyavin , S. N. Fabrika