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An analytical model is developed for the prediction of noise radiated by an aerofoil with leading edge serration in a subsonic turbulent stream. The model makes use of the Fourier Expansion and Schwarzschild techniques in order to solve a…

流体动力学 · 物理学 2017-10-11 Benshuai Lyu , Mahdi Azarpeyvand

We present a new inner-outer iterative algorithm for edge enhancement in imaging problems. At each outer iteration, we formulate a Tikhonov-regularized problem where the penalization is expressed in the 2-norm and involves a regularization…

数值分析 · 数学 2020-12-30 Silvia Gazzola , Misha E. Kilmer , James G. Nagy , Oguz Semerici , Eric L. Miller

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

数值分析 · 数学 2015-12-31 H. Egger , T. Seitz , C. Tropea

We propose a novel regularization method, called \textit{volumization}, for neural networks. Inspired by physics, we define a physical volume for the weight parameters in neural networks, and we show that this method is an effective way of…

机器学习 · 计算机科学 2020-04-02 Liu Ziyin , Zihao Wang , Makoto Yamada , Masahito Ueda

We propose to learn non-convex regularizers with a prescribed upper bound on their weak-convexity modulus. Such regularizers give rise to variational denoisers that minimize a convex energy. They rely on few parameters (less than 15,000)…

图像与视频处理 · 电气工程与系统科学 2023-12-21 Alexis Goujon , Sebastian Neumayer , Michael Unser

We consider the stable reconstruction of flow geometry and wall shear stress from measurements obtained by magnetic resonance imaging. As noted in a review article by Petersson, most approaches considered so far in the literature seem not…

数值分析 · 数学 2019-09-04 Herbert Egger , Gabriel Teschner

Context: Calculating stellar pulsations requires a sufficient accuracy to match the quality of the observations. Many current pulsation codes apply a second order finite-difference scheme, combined with Richardson extrapolation to reach…

太阳与恒星天体物理 · 物理学 2015-06-16 D. R. Reese

Vertex-centroid schemes are cell-centered finite volume schemes for conservation laws which make use of vertex values to construct high resolution schemes. The vertex values must be obtained through a consistent averaging (interpolation)…

数值分析 · 计算机科学 2011-12-20 Praveen Chandrashekar , Ashish Garg

The $\chi^2$-principle generalizes the Morozov discrepancy principle (MDP) to the augmented residual of the Tikhonov regularized least squares problem. Weighting of the data fidelity by a known Gaussian noise distribution on the measured…

数值分析 · 数学 2022-08-16 Saeed Vatankhah , Rosemary A Renaut , Vahid E Ardestani

Modelling statistical relationships beyond the conditional mean is crucial in many settings. Conditional density estimation (CDE) aims to learn the full conditional probability density from data. Though highly expressive, neural network…

Spherical centroidal Voronoi tessellations (SCVTs), currently used in numerical weather forecasting models such as the Model for Prediction Across Scales (MPAS), are a type of spherical grid that is highly flexible, allowing the…

数值分析 · 数学 2026-04-09 Luan F. Santos , Jeferson B. Granjeiro , Pedro S. Peixoto

For the simulation of compressible flow with a broadband of length scales and discontinuities, the WENO schemes using incremental stencil sizes other than uniform ones are promising for more robustness and less numerical dissipation.…

计算物理 · 物理学 2019-08-08 Yujie Zhu , Xiangyu Hu

This work is concerned with practical stabilization of nonlinear systems by means of inf-convolution-based sample-and-hold control. It is a fairly general stabilization technique based on a generic non-smooth control Lyapunov function (CLF)…

系统与控制 · 电气工程与系统科学 2021-02-09 Patrick Schmidt , Pavel Osinenko , Stefan Streif

Regularization is a core component of modern inverse problems, as it helps establish the well-posedness of the solution of interest. Popular regularization approaches include variational regularization and iterative regularization. The…

最优化与控制 · 数学 2025-08-08 Jie Gao , Cesare Molinari , Silvia Villa , Jingwei Liang

The present study proposes a highly accurate lattice Boltzmann direct coupling cell-vertex algorithm, well suited for industrial purposes, making it highly valuable for aeroacoustic applications. It is indeed known that the convection of…

The GENERIC structure allows for a unified treatment of different discrete models of hydrodynamics. We first propose a finite volume Lagrangian discretization of the continuum equations of hydrodynamics through the Voronoi tessellation. We…

统计力学 · 物理学 2007-05-23 Mar Serrano , Pep Español

We consider the inverse problem of reconstructing inhomogeneities by performing a finite number of scattering measurements of acoustic type in the time-harmonic setting. We set up the reconstruction as a fully discrete variational problem…

偏微分方程分析 · 数学 2026-02-24 Daniela Di Donato , Luca Rondi

Recent studies have shown that regularization techniques using soft labels, e.g., label smoothing, Mixup, and CutMix, not only enhance image classification accuracy but also mitigate miscalibration due to overconfident predictions, and…

计算机视觉与模式识别 · 计算机科学 2025-10-17 Jonghyun Park , Juyeop Kim , Jong-Seok Lee

The problem of the logarithmic discretization of an arbitrary positive function (such as the density of states) is studied in general terms. Logarithmic discretization has arbitrary high resolution around some chosen point (such as Fermi…

强关联电子 · 物理学 2009-08-06 Rok Zitko

We present an encoding technique that reduces the effects of noise on quantum spin systems whose operation is driven by Hamiltonian evolution. This technique is widely applicable, being most relevant to the scenarios where there are…

量子物理 · 物理学 2022-03-28 Catherine Keele , Alastair Kay