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We consider non-ergodic class of stationary real harmonizable symmetric $\alpha$-stable processes $X=\left\{X(t):t\in\mathbb{R}\right\}$ with a finite symmetric and absolutely continuous control measure. We refer to its density function as…

Statistics Theory · Mathematics 2023-12-12 Ly Viet Hoang , Evgeny Spodarev

We present the findings of an experimental study whereby we correlate the changes in the morphology of the photoplethysmography (PPG) signal to healthy aging. Under this pretext, we estimate the biological age of a person as well as the age…

There are many ways to numerically represent of chemical systems in order to compute their electronic structure. Basis functions may be localized in real-space (atomic orbitals), in momentum-space (plane waves), or in both components of…

Chemical Physics · Physics 2019-09-09 James Brown , James D. Whitfield

We propose a numerical method for kinetic plasma simulation in which the phase-space distribution function is represented by a low-rank tensor network with an adaptive level of compression. The Vlasov-Poisson system is advanced using Strang…

Computational Physics · Physics 2026-02-16 Erik M. Åsgrim , Luca Pennati , Marco Pasquale , Stefano Markidis

Error-controlled lossy compression has been studied for years because of extremely large volumes of data being produced by today's scientific simulations. None of existing lossy compressors, however, allow users to fix the peak…

Information Theory · Computer Science 2018-07-17 Dingwen Tao , Sheng Di , Xin Liang , Zizhong Chen , Franck Cappello

We study the symmetric Anderson-Holstein (AH) model at zero temperature with Wilson's numerical renormalization group (NRG) technique to study the interplay between the electron-electron and electron-phonon interactions. An improved method…

Strongly Correlated Electrons · Physics 2009-11-07 Gun Sang Jeon , Tae-Ho Park , Han-Yong Choi

At laser wavelengths longer than the prominent 1 {\mu}m range of high-power ytterbium-doped lasers, nonlinear phase shifts produced in nonlinear media for spectral broadening and subsequent pulse compression decrease drastically.…

The scaling of photoproduction $\gamma p\to\pi^0 p$ is investigated in the Reggeized model with $N^*$ and $\Delta$ resonances included to describe resonance peaks up to photon energy $E_\gamma$= 3 GeV. Given the $t$-channel exchanges…

Nuclear Theory · Physics 2016-08-09 Kook-Jin Kong , Tae Keun Choi , Byung-Geel Yu

We explore the simplification of widely used meta-generalized-gradient approximation (mGGA) exchange-correlation functionals to the Laplacian level of refinement by use of approximate kinetic energy density functionals (KEDFs). Such…

Chemical Physics · Physics 2017-12-01 Daniel Mejia-Rodriguez , S. B. Trickey

2-D complex Gabor filtering has found numerous applications in the fields of computer vision and image processing. Especially, in some applications, it is often needed to compute 2-D complex Gabor filter bank consisting of the 2-D complex…

Computer Vision and Pattern Recognition · Computer Science 2017-04-19 Suhyuk Um , Jaeyoon Kim , Dongbo Min

We consider the problem of detecting and quantifying the periodic component of a function given noise-corrupted observations of a limited number of input/output tuples. Our approach is based on Gaussian process regression which provides a…

Statistics Theory · Mathematics 2016-08-22 Nicolas Durrande , James Hensman , Magnus Rattray , Neil D. Lawrence

A new weak Galerkin (WG) finite element method for solving the biharmonic equation in two or three dimensional spaces by using polynomials of reduced order is introduced and analyzed. The WG method is on the use of weak functions and their…

Numerical Analysis · Mathematics 2016-01-27 Ran Zhang , Qilong Zhai

A novel algorithm for the ultrashort laser pulse characterization method of interferometric frequency-resolved optical gating (iFROG) is presented. Based on a genetic method, namely differential evolution, the algorithm can exploit all…

Optics · Physics 2017-10-25 Janne Hyyti , Esmerando Escoto , Günter Steinmeyer

The optimized effective potential (OEP) approach has so far mainly been used in benchmark studies and for the evaluation of band gaps. In this work, we extend the application of the OEP by determining the analytical ionic forces within the…

Materials Science · Physics 2024-09-13 Damian Contant , Maria Hellgren

We present results from the 2D anisotropic Baryon Acoustic Oscillation (BAO) signal present in the final dataset from the WiggleZ Dark Energy Survey. We analyse the WiggleZ data in two ways: firstly using the full shape of the 2D…

Recent observations of superconductivity in Moire graphene have lead to an intense interest in that system, with subsequent studies revealing a more complex phase diagram including correlated insulators and ferromagnetic phases. Here we…

Strongly Correlated Electrons · Physics 2023-05-10 Z. E. Krix , O. P. Sushkov

A mixed basis approach based on density functional theory is employed for low dimensional systems. The basis functions are taken to be plane waves for the periodic direction multiplied by B-spline polynomials in the non-periodic direction.…

Computational Physics · Physics 2015-05-20 Chung-Yuan Ren , Chen-Shiung Hsue , Yia-Chung Chang

In this paper, the optimal sampling strategies (uniform or nonuniform) and distortion tradeoffs for Gaussian bandlimited periodic signals with additive white Gaussian noise are studied. Our emphasis is on characterizing the optimal sampling…

Information Theory · Computer Science 2016-11-01 Elaheh Mohammadi , Farokh Marvasti

Multi-channel photoplethysmography (PPG) sensors have found widespread adoption in wearable devices for monitoring cardiac health. Channels thereby serve different functions -- whereas green is commonly used for metrics such as heart rate…

Signal Processing · Electrical Eng. & Systems 2024-12-24 Manuel Meier , Berken Utku Demirel , Christian Holz

We present an efficient implementation of coupled-cluster Green's function (CCGF) method for simulating photoemission spectra of periodic systems. We formulate the periodic CCGF approach with Brillouin zone sampling in Gaussian basis at the…

Chemical Physics · Physics 2022-11-08 Katelyn Laughon , Jason M. Yu , Tianyu Zhu