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We present a generalization of the RBF-FD method that computes RBF-FD weights in finite-sized neighborhoods around the centers of RBF-FD stencils by introducing an overlap parameter $\delta \in [0,1]$ such that $\delta=1$ recovers the…

Numerical Analysis · Mathematics 2017-05-24 Varun Shankar

Axial light field resolution refers to the ability to distinguish features at different depths by refocusing. The axial refocusing precision corresponds to the minimum distance in the axial direction between two distinguishable refocusing…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Zhaolin Xiao , Jinglei Shi , Xiaoran Jiang , Christine Guillemot

In papers on cold field electron emission from large area field emitters (LAFEs), it has become widespread practice to publish a misleading Fowler-Nordheim-type (FN-type) equation. This equation over-predicts the LAFE-average current…

Mesoscale and Nanoscale Physics · Physics 2018-12-18 Richard G. Forbes

We propose a general error analysis related to the low-rank approximation of a given real matrix in both the spectral and Frobenius norms. First, we derive deterministic error bounds that hold with some minimal assumptions. Second, we…

Numerical Analysis · Mathematics 2022-06-22 Youssef Diouane , Selime Gürol , Alexandre Scotto Di Perrotolo , Xavier Vasseur

We analyze a sublinear RAlSFA (Randomized Algorithm for Sparse Fourier Analysis) that finds a near-optimal B-term Sparse Representation R for a given discrete signal S of length N, in time and space poly(B,log(N)), following the approach…

Numerical Analysis · Mathematics 2007-05-23 Jing Zou , Anna Gilbert , Martin Strauss , Ingrid Daubechies

We present the main steps that will be taken to extract H$\alpha$ emission flux from Javalambre Photometric Local Universe Survey (J-PLUS) photometric data. For galaxies with $z\lesssim0.015$, the H$\alpha$+[NII] emission is covered by the…

Most methods tackling the phase retrieval problem of magnitude-only antenna measurements suffer from unrealistic sampling requirements, from unfeasible computational complexities, and, most severely, from the lacking reliability of…

Signal Processing · Electrical Eng. & Systems 2022-02-01 Alexander Paulus , Josef Knapp , Jonas Kornprobst , Thomas F. Eibert

The Landau-Selberg-Delange (LSD) method gives an asymptotic formula for the partial sums of a multiplicative function $f$ whose prime values are $\alpha$ on average. In the literature, the average is usually taken to be $\alpha$ with a very…

Number Theory · Mathematics 2020-06-29 Andrew Granville , Dimitris Koukoulopoulos

We present a polarization catalog of 533 extragalactic radio sources with 2.3 GHz total intensity above 420 mJy from the S-band Polarization All Sky Survey, S-PASS, with corresponding 1.4 GHz polarization information from the NRAO VLA Sky…

Astrophysics of Galaxies · Physics 2016-09-21 Mehdi Lamee , Lawrence Rudnick , Jamie S. Farnes , Ettore Carretti , B. M. Gaensler , Marijke Haverkorn , Sergio Poppi

The Inverse Problem for the estimation of a point-wise approximation error occurring at the discretization and solving of the system of partial differential equations is addressed. The set of the differences between the numerical solutions…

Numerical Analysis · Mathematics 2021-01-05 Aleksey Alekseev , Alexander Bondarev

We introduce in this work the normalizing field flows (NFF) for learning random fields from scattered measurements. More precisely, we construct a bijective transformation (a normalizing flow characterizing by neural networks) between a…

Machine Learning · Computer Science 2022-05-11 Ling Guo , Hao Wu , Tao Zhou

Deep frequency modulation interferometry (DFMI) resolves phase ambiguity in absolute distance measurements by jointly estimating two length-encoding parameters: the coarse and unambiguous effective modulation depth ($m$), and the fine but…

Optics · Physics 2026-04-22 Miguel Dovale-Álvarez

The presence of measurement error is a widespread issue which, when ignored, can render the results of an analysis unreliable. Numerous corrections for the effects of measurement error have been proposed and studied, often under the…

Methodology · Statistics 2023-06-29 Dylan Spicker , Michael Wallace , Grace Yi

Directional area scattering factor (DASF) is a critical canopy structural parameter for vegetation monitoring. It provides an efficient tool for decoupling of canopy structure and leaf optics from canopy reflectance. Current standard…

Computational Engineering, Finance, and Science · Computer Science 2022-05-02 Yi Lin , Siyuan Liu , Lei Yan , Kai Yan , Yelu Zeng , Bin Yang

Analytic expressions for the amplitude-dependent tune shift driven by the quadrupole magnet fringe field have been obtained. The magnitude of the effect is compared with other sources of non-linearity such as chromatic sextupoles, octupole…

Accelerator Physics · Physics 2009-03-18 E. Levichev , P. Piminov

Exact calculations of the radiative corrections to the single spin asymmetry in the exclusive pion electroproduction below $\Delta(1232)$ resonance are performed by employing the EXCLURAD code. The analysis of the dependence of the obtained…

High Energy Physics - Phenomenology · Physics 2009-09-29 G. I. Smirnov

Radial Basis Function-generated Finite Differences (RBF-FD) is a meshless method that can be used to numerically solve partial differential equations. The solution procedure consists of two steps. First, the differential operator is…

Numerical Analysis · Mathematics 2026-02-26 Andrej Kolar-Požun , Mitja Jančič , Gregor Kosec

We study subleading corrections to the corner free energy in classical two-dimensional critical systems, focusing on a generic boundary perturbation by the stress-tensor of the underlying conformal field theory (CFT). In the particular case…

Statistical Mechanics · Physics 2013-12-17 Jean-Marie Stéphan , Jérôme Dubail

Many multi-microphone speech enhancement algorithms require the relative transfer function (RTF) vector of the desired speech source, relating the acoustic transfer functions of all array microphones to a reference microphone. In this…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-22 N. Gößling , S. Doclo

We deal with zero-delay source coding of a vector Gaussian autoregressive (AR) source subject to an average mean squared error (MSE) fidelity criterion. Toward this end, we consider the nonanticipative rate distortion function (NRDF) which…

Information Theory · Computer Science 2017-08-22 Photios A. Stavrou , Jan Ostergaard , Charalambos D. Charalambous , Milan Derpich
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