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Current studies about motor imagery based rehabilitation training systems for stroke subjects lack an appropriate analytic method, which can achieve a considerable classification accuracy, at the same time detects gradual changes of imagery…

Machine Learning · Statistics 2014-09-19 Hao Zhang , Liqing Zhang

Spectral lines from interstellar molecules provide crucial insights into the physical and chemical conditions of the interstellar medium. Traditional spectral line analysis relies heavily on manual intervention, which becomes impractical…

Astrophysics of Galaxies · Physics 2026-01-14 Yisheng Qiu , Tianwei Zhang , Tie Liu , Fengyao Zhu , Dezhao Meng , Huaxi Chen , Thomas Möller , Peter Schilke , Donghui Quan

Reliably characterised pulses are the starting point of any application of ultrafast techniques. Unfortunately, experimental constraints do not always allow optimising the characterisation conditions. This dictates the need for refined…

Optics · Physics 2024-07-04 Ilaria Gianani , Ian A. Walmsley , Marco Barbieri

The problem of phase retrieval is to determine a signal $f\in \mathcal{H}$, with $\mathcal{H}$ a Hilbert space, from intensity measurements $|F(\omega)|$, where $F(\omega):=\langle f , \varphi_\omega\rangle$ are measurements of $f$ with…

Functional Analysis · Mathematics 2017-02-02 Rima Alaifari , Ingrid Daubechies , Philipp Grohs , Rujie Yin

We report a new version of spectral phase interferometry for direct electric field reconstruction (SPIDER), which enables consistency checking through the simultaneous acquisition of multiple shears and offers a simple and precise…

Optics · Physics 2019-03-27 Tobias Witting , Dane R. Austin , Ian A. Walmsley

Second-order self-force calculations will be critical for modelling extreme-mass-ratio inspirals, and they are now known to have high accuracy even for binaries with mass ratios $\sim 1:10$. Many of the challenges facing these calculations…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Rodrigo Panosso Macedo , Patrick Bourg , Adam Pound , Samuel D. Upton

In this paper we consider the inverse problem of determining structural properties of a thin anisotropic and dissipative inhomogeneity in ${\mathbb R}^m$, $m=2,3$ from scattering data. In the asymptotic limit as the thickness goes to zero,…

Analysis of PDEs · Mathematics 2022-04-01 Fioralba Cakoni , Heejin Lee , Peter Monk , Yangwen Zhang

Doppler reflectometry spatial and wavenumber resolution is analyzed within the framework of the linear Born approximation in slab plasma model. Explicit expression for its signal backscattering spectrum is obtained in terms of wavenumber…

Plasma Physics · Physics 2007-05-23 Alexander Surkov , Evgeniy Gusakov

Forward scatter radar (FSR) has emerged as an effective imaging modality for target detection, utilizing forward scattering (FS) signals to reconstruct two-dimensional shadow profile images of objects. However, real-world FS signals are…

Computational Physics · Physics 2025-08-18 ShuQi Lei , Gan Yu , Yuan Tian , XiaoWei Shao

Epileptic seizures are neurological disorders characterized by abnormal and excessive electrical activity in the brain, resulting in recurrent seizure events. Electroencephalogram (EEG) signals are widely used for seizure diagnosis due to…

Machine Learning · Computer Science 2026-04-02 Ferdaus Anam Jibon , Fazlul Hasan Siddiqui , F. Deeba , Gahangir Hossain

Medical image segmentation remains challenging in low-data regimes, where scarce annotations often yield poor generalization and ambiguous boundaries with missing fine structures. Recent self-supervised pretraining has improved…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Zhiquan Chen , Haitao Wang , Guowei Zou , Hejun Wu

A spectral mixture (SM) kernel is a flexible kernel used to model any stationary covariance function. Although it is useful in modeling data, the learning of the SM kernel is generally difficult because optimizing a large number of…

Machine Learning · Statistics 2020-06-15 Yohan Jung , Kyungwoo Song , Jinkyoo Park

We deal with the problem of determining the shape of an inclusion embedded in a homogenous background medium. The multifre-quency electrical impedance tomography is used to image the inclusion. For different frequencies, a current is…

Analysis of PDEs · Mathematics 2019-03-21 Jin Cheng , Mourad Choulli , Shuai Lu

Pseudospectral time domain (PSTD) methods are widely used in many branches of acoustics for the numerical solution of the wave equation, including biomedical ultrasound and seismology. The use of the Fourier collocation spectral method in…

Computational Physics · Physics 2020-12-03 E. S. Wise , J. Jaros , B. T. Cox , B. E. Treeby

We give a characterisation of the spectral properties of linear differential operators with constant coefficients, acting on functions defined on a bounded interval, and determined by general linear boundary conditions. The boundary…

Spectral Theory · Mathematics 2013-03-22 David Andrew Smith , Beatrice Pelloni

We develop a frequency-domain method for calculating the self-force acting on a scalar charge on a fixed scattering geodesic in Schwarzschild spacetime. Existing frequency-domain methods, which are tailored for bound orbits, are inadequate…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Christopher Whittall , Leor Barack

Single-pixel imaging (SPI) has the advantages of high-speed acquisition over a broad wavelength range and system compactness, which are difficult to achieve by conventional imaging sensors. However, a common challenge is low image quality…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Ruibo Shang , Mikaela A. O'Brien , Geoffrey P. Luke

Electron-beam irradiation limits atomic-resolution characterization of beam-sensitive hybrid materials, yet quantitative models that connect \textit{in situ} spectroscopy to dose-dependent degradation remain scarce. Here we use a…

Materials Science · Physics 2026-05-05 Gabriel T. dos Santos , Roberto dos Reis , Vinayak P. Dravid

Automated Kellgren--Lawrence (KL) grading from knee radiographs is challenging due to subtle structural changes, long-range anatomical dependencies, and ambiguity near grade boundaries. We propose AGE-Net, a ConvNeXt-based framework that…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Xiaoyang Li , Runni Zhou , Xinghao Yan , Liehao Yan , Zhaochen Li , Chenjie Zhu , Rongrong Fu , Yuan Chai

In this paper, we take a fresh look at using spectral analysis for assessing locking phenomena in finite element formulations. We propose to "measure" locking by comparing the difference between eigenvalue and mode error curves computed on…

Computational Engineering, Finance, and Science · Computer Science 2021-11-02 Thi-Hoa Nguyen , René R. Hiemstra , Dominik Schillinger
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