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We radically simplify coherently averaged dual-comb spectroscopy by introducing a real-time self-correction system: a radio frequency system-on-chip computes each incoming dual-comb interferogram's phase, frequency, and arrival time;…

The diffusion of nonlinear loads and power electronic devices in power systems deteriorates the signal environment and increases the difficulty of measuring harmonic phasors. Considering accurate harmonic phasor information is necessary to…

Signal Processing · Electrical Eng. & Systems 2022-11-17 Dongfang Zhao , Shisong Li , Fuping Wang , Wei Zhao , Songling Huang , Qing Wang

The reconstruction of clipped speech signals is an important task in audio signal processing to achieve an enhanced audio quality for further processing. In this paper, Frequency Selective Extrapolation (FSE), which is commonly used for…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-11 Markus Jonscher , Jürgen Seiler , André Kaup

It is expensive to compute residual diffusivity in chaotic in-compressible flows by solving advection-diffusion equation due to the formation of sharp internal layers in the advection dominated regime. Proper orthogonal decomposition (POD)…

Computational Physics · Physics 2019-10-02 Jiancheng Lyu , Jack Xin , Yifeng Yu

In this paper, we propose a multiscale method for heterogeneous Stokes problems. The method is based on the Localized Orthogonal Decomposition (LOD) methodology and has approximation properties independent of the regularity of the…

Numerical Analysis · Mathematics 2024-10-21 Moritz Hauck , Alexei Lozinski

Recent results from compressive sampling (CS) have demonstrated that accurate reconstruction of sparse signals often requires far fewer samples than suggested by the classical Nyquist--Shannon sampling theorem. Typically, signal…

Fluid Dynamics · Physics 2014-04-24 Gudmundur F. Adalsteinsson , Nicholas K. -R. Kevlahan

The construction of stable, conservative, and accurate volume dissipation is extended to discretizations that possess a generalized summation-by-parts (SBP) property within a tensor-product framework. The dissipation operators can be…

Numerical Analysis · Mathematics 2026-03-19 Alex Bercik , David A. Craig Penner , David W. Zingg

The second-order dependence structure of purely nondeterministic stationary process is described by the coefficients of the famous Wold representation. These coefficients can be obtained by factorizing the spectral density of the process.…

Statistics Theory · Mathematics 2017-12-21 Jonas Krampe , Jens-Peter Kreiss , Efstathios Paparoditis

Finding the symmetric and orthogonal decomposition (SOD) of a tensor is a recurring problem in signal processing, machine learning and statistics. In this paper, we review, establish and compare the perturbation bounds for two natural types…

Numerical Analysis · Computer Science 2017-06-06 Cun Mu , Daniel Hsu , Donald Goldfarb

In this study, a Fourier-based, split-step Pad\'e (SSP) method for solving the parabolic wave equation with applications in guided wave propagation in ocean acoustics is presented. Traditional SSP implementations rely in finite-difference…

Numerical Analysis · Mathematics 2025-11-06 Daniel Walsken , Pavel Petrov , Matthias Ehrhardt

This paper addresses the deconvolution problem of estimating a square-integrable probability density from observations contaminated with additive measurement errors having a known density. The estimator begins with a density estimate of the…

Statistics Theory · Mathematics 2023-04-12 David Kent , David Ruppert

Out-of-distribution (OOD) detection is essential for deploying deep learning models in open-world environments. Existing approaches, such as energy-based scoring and gradient-projection methods, typically rely on high-dimensional…

Machine Learning · Statistics 2025-11-04 Zhexiao Huang , Weihao He , Shutao Deng , Junzhe Chen , Chao Yuan , Hongxin Wang , Changsheng Zhou

In this paper, we present a novel Amplitude-Modulated Stochastic Perturbation and Vortex Convolutional Network, AMSP-UOD, designed for underwater object detection. AMSP-UOD specifically addresses the impact of non-ideal imaging factors on…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Jingchun Zhou , Zongxin He , Kin-Man Lam , Yudong Wang , Weishi Zhang , ChunLe Guo , Chongyi Li

Hyperspectral salient object detection (HSOD) aims to extract targets or regions with significantly different spectra from hyperspectral images. While existing deep learning-based methods can achieve good detection results, they generally…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Peifu Liu , Tingfa Xu , Guokai Shi , Jingxuan Xu , Huan Chen , Jianan Li

Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

Fluid Dynamics · Physics 2021-01-20 Oliver T. Schmidt

Bootstrap methods, initially developed for solving statistical and quantum field theories, have recently been shown to capture the discrete spectrum of quantum mechanical problems, such as the single particle Schr\"odinger equation with an…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Serguei Tchoumakov , Serge Florens

The sensitivity of the optical wireless communication (OWC) can be effectively improved by employing the highly sensitive single-photon avalanche diode (SPAD) arrays. However, the nonlinear distortion introduced by the dead time strongly…

Information Theory · Computer Science 2022-10-26 Shenjie Huang , Cheng Chen , Mohammad Dehghani Soltani , Robert Henderson , Harald Haas , Majid Safari

We present a new methodology to enable efficient simulation of high Reynolds number wakes. In this approach, a body-exclusive hybrid simulation at Re = 5 x 10^4 is initialized using inflow fields reconstructed from a lower Reynolds number…

Fluid Dynamics · Physics 2025-09-30 Divyanshu Gola , Sutanu Sarkar

The relative root mean squared errors (RMSE) of nonparametric methods for spectral estimation is compared for microwave scattering data of plasma fluctuations. These methods reduce the variance of the periodogram estimate by averaging the…

Applications · Statistics 2019-11-15 Kurt S. Riedel , Alexander Sidorenko , David J. Thomson

The analytic continuation of imaginary-time quantum Monte Carlo data to extract real-frequency spectra remains a key problem in connecting theory with experiment. Here we present a fast and efficient stochastic optimization method (FESOM)…

Strongly Correlated Electrons · Physics 2016-11-03 F. Bao , Y. Tang , M. Summers , G. Zhang , C. Webster , V. Scarola , T. A. Maier