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The lasso and elastic net linear regression models impose a double-exponential prior distribution on the model parameters to achieve regression shrinkage and variable selection, allowing the inference of robust models from large data sets.…

统计方法学 · 统计学 2021-10-29 Tom Michoel

Ultrashort-pulse propagation in graded-index multimode fibers is a highly nonlinear phenomenon driven by several physical processes. Although conventional numerical solvers can reproduce this behavior with high fidelity, their computational…

光学 · 物理学 2025-12-24 Dinesh Kumar Murugan , Nithyanandan Kanagaraj

Numerical simulations are essential tools to evaluate the solution of the wave equation in complex settings, such as three-dimensional (3D) domains with heterogeneous properties. However, their application is limited by high computational…

机器学习 · 计算机科学 2025-04-09 Fanny Lehmann , Filippo Gatti , Didier Clouteau

This paper is devoted to a numerical analysis of a fractional viscoelastic wave propagation model that generalizes the fractional Maxwell model and the fractional Zener model. First, we convert the model problem into a velocity type…

数值分析 · 数学 2025-07-17 Hao Yuan , Xiaoping Xie

Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid / poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium) and by the low-frequency Biot's equations…

经典物理 · 物理学 2012-09-25 Guillaume Chiavassa , Bruno Lombard

We propose and demonstrate a new phase retrieval method for imaging through random media. Although methods to recover the Fourier amplitude through random distortions are well established, recovery of the Fourier phase has been a more…

光学 · 物理学 2021-05-14 Byungjae Hwang , Taeseong Woo , Cheolwoo Ahn , Jung-Hoon Park

The stochastic leverage effect, defined as the standardized covariation between the returns and their related volatility, is analyzed in a stochastic volatility model set-up. A novel estimator of the effect is defined using a pre-estimation…

统计金融 · 定量金融 2021-03-09 Imma Valentina Curato , Simona Sanfelici

This paper concerns diffraction-tomographic reconstruction of an object characterized by its scattering potential. We establish a rigorous generalization of the Fourier diffraction theorem in arbitrary dimension, giving a precise relation…

数值分析 · 数学 2026-03-30 Clemens Kirisits , Michael Quellmalz , Eric Setterqvist

The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a…

偏微分方程分析 · 数学 2018-06-21 Lorenzo Baldassari

We present a method developed to deal with electromagnetic wave propagation inside a material medium that reacts, in general, non-linearly to the field strength. We work in the context of Maxwell' s theory in the low frequency limit and…

广义相对论与量子宇宙学 · 物理学 2009-11-07 V. A. De Lorenci , M. A. Souza

The paper develops a new integral micromorphic elastic continuum model, which can describe dispersion properties of band-gap metamaterials, i.e., metamaterials that inhibit propagation of waves in a certain frequency range. The enrichment…

应用物理 · 物理学 2024-10-21 Michal Šmejkal , Milan Jirásek , Martin Horák

Existing algorithms for fitting the parameters of a sinusoid to noisy discrete time observations are not always successful due to initial value sensitivity and other issues. This paper demonstrates the techniques of FIR filtering, Fast…

综合数学 · 数学 2012-08-27 Francis J. O'Brien, , Nathan Johnnie

We show that the lattice Boltzmann formalism can be used to describe wave propagation in a heterogeneous media, as well as solid-body-like systems and fracture propagation. Several fundamental properties of real fractures (such as…

统计力学 · 物理学 2007-05-23 Bastien Chopard , Pascal Luthi , Stefan Marconi

Estimating physical parameters or material properties from experimental observations is a common objective in many areas of physics and material science. In many experiments, especially in shock physics, radiography is the primary means of…

计算物理 · 物理学 2025-07-01 Evan Bell , Daniel A. Serino , Ben S. Southworth , Trevor Wilcox , Marc L. Klasky

We present a systematic accuracy assessment of the thin-element approximation (TEA), the beam propagation method (BPM), and the wave propagation method (WPM) for binary diffractive gratings, using the rigorous Fourier modal method (FMM) as…

光学 · 物理学 2026-05-12 Nicolas Barré

In this paper we study the problem of computing the effective diffusivity for a particle moving in chaotic and stochastic flows. In addition we numerically investigate the residual diffusion phenomenon in chaotic advection. The residual…

数值分析 · 数学 2017-11-28 Zhongjian Wang , Jack Xin , Zhiwen Zhang

The propagation of waves through microstructured media with periodically arranged inclusions has applications in many areas of physics and engineering, stretching from photonic crystals through to seismic metamaterials. In the…

材料科学 · 物理学 2015-05-13 Mehul Makwana , Tryfon Antonakakis , Ben Maling , Sebastien Guenneau , Richard Craster

Full-waveform inversion (FWI) is an effective method for imaging subsurface properties using sparsely recorded data. It involves solving a wave propagation problem to estimate model parameters that accurately reproduce the data. Recent…

最优化与控制 · 数学 2025-05-02 Ali Gholami

The two-dimensional propagation of small-amplitude waves through an infinite periodic array of freely-floating rectangular floes is considered under the assumptions of inviscid linearised wave theory. Fluid gaps between adjacent floes allow…

流体动力学 · 物理学 2026-03-17 Lloyd Dafydd , Richard Porter

We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves. The imaging function uses a data driven estimate of the…

数值分析 · 数学 2022-01-19 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling