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The Fast Folding Algorithm (FFA) is a phase-coherent search technique for periodic signals. It has rarely been used in radio pulsar searches, having been historically supplanted by the less computationally expensive Fast Fourier Transform…

Instrumentation and Methods for Astrophysics · Physics 2020-08-12 V. Morello , E. D. Barr , B. W. Stappers , E. F. Keane , A. G. Lyne

With large-scale Integral Field Spectroscopy (IFS) surveys of thousands of galaxies currently under-way or planned, the astronomical community is in need of methods, techniques and tools that will allow the analysis of huge amounts of data.…

Instrumentation and Methods for Astrophysics · Physics 2015-12-22 Georgios Bekiaris , Karl Glazebrook , Christopher J. Fluke , Roberto Abraham

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Xinyao Yi

Gaussian Processes have become an indispensable part of the spatial statistician's toolbox but are unsuitable for analyzing large dataset because of the significant time and memory needed to fit the associated model exactly. Vecchia…

Computation · Statistics 2025-07-18 Zachary James , Joseph Guinness

In this paper, we derive a new reconstruction method for real non-harmonic Fourier sums, i.e., real signals which can be represented as sparse exponential sums of the form $f(t) = \sum_{j=1}^{K} \gamma_{j} \, \cos(2\pi a_{j} t + b_{j})$,…

Numerical Analysis · Mathematics 2020-11-30 Markus Petz , Gerlind Plonka , Nadiia Derevianko

The geometric multigrid method (GMG) is one of the most efficient solving techniques for discrete algebraic systems arising from elliptic partial differential equations. GMG utilizes a hierarchy of grids or discretizations and reduces the…

Numerical Analysis · Mathematics 2013-01-14 Chunsheng Feng , Shi Shu , Jinchao Xu , Chen-Song Zhang

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

Machine Learning · Computer Science 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

Configuration Optimization Problems (COPs), which involve minimizing a loss function over a set of discrete points $\boldsymbol{\gamma} \subset P$, are common in areas like Model Order Reduction, Active Learning, and Optimal Experimental…

Numerical Analysis · Mathematics 2024-10-24 Evie Nielen , Oliver Tse , Karen Veroy

Eulerian nonlinear uncertainty propagation methods often suffer from finite domain limitations and computational inefficiencies. A recent approach to this class of algorithm, Grid-based Bayesian Estimation Exploiting Sparsity, addresses the…

Chaotic Dynamics · Physics 2025-08-20 Benjamin L. Hanson , Carlos Rubio , Adrián García-Gutiérrez , Thomas Bewley

We describe an algorithm for computing an inverse spherical harmonic transform suitable for graphic processing units (GPU). We use CUDA and base our implementation on a Fortran90 routine included in a publicly available parallel package,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-22 Ioan O. Hupca , Joel Falcou , Laura Grigori , Radek Stompor

Gravitational wave Bayesian parameter inference involves repeated comparisons of GW data to generic candidate predictions. Even with algorithmically efficient methods like RIFT or reduced-order quadrature, the time needed to perform these…

Instrumentation and Methods for Astrophysics · Physics 2019-04-24 D. Wysocki , R. O'Shaughnessy , Y-L. L. Fang , Jacob Lange

The maximum entropy method (MEM) is a well known deconvolution technique in radio-interferometry. This method solves a non-linear optimization problem with an entropy regularization term. Other heuristics such as CLEAN are faster but highly…

Instrumentation and Methods for Astrophysics · Physics 2022-10-27 M. Cárcamo , P. Román , S. Casassus , V. Moral , F. R. Rannou

The continually increasing volume of DNA sequence data has resulted in a growing demand for fast implementations of core algorithms. Computation of pairwise alignments between candidate haplotypes and sequencing reads using Pair-HMMs is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Bertil Schmidt , Felix Kallenborn , Alexander Wichmann , Alejandro Chacon , Christian Hundt

Subset selection is a popular topic in recent years and a number of subset selection methods have been proposed. Among those methods, hypervolume subset selection is widely used. Greedy hypervolume subset selection algorithms can achieve…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Weiyu Chen , Hisao Ishibuhci , Ke Shang

Program synthesis is an umbrella term for generating programs and logical formulae from specifications. With the remarkable performance improvements that GPUs enable for deep learning, a natural question arose: can we also implement a…

Programming Languages · Computer Science 2025-04-29 Martin Berger , Nathanaël Fijalkow , Mojtaba Valizadeh

We consider optimal sensor placement for a family of linear Bayesian inverse problems characterized by a deterministic hyper-parameter. The hyper-parameter describes distinct configurations in which measurements can be taken of the observed…

Numerical Analysis · Mathematics 2023-01-31 Nicole Aretz , Peng Chen , Denise Degen , Karen Veroy

Gradient sampling (GS) has proved to be an effective methodology for the minimization of objective functions that may be nonconvex and/or nonsmooth. The most computationally expensive component of a contemporary GS method is the need to…

Optimization and Control · Mathematics 2021-08-10 Frank E. Curtis , Minhan Li

We introduce GRay, a massively parallel integrator designed to trace the trajectories of billions of photons in a curved spacetime. This GPU-based integrator employs the stream processing paradigm, is implemented in CUDA C/C++, and runs on…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Chi-kwan Chan , Dimitrios Psaltis , Feryal Ozel

This paper presents both a numerical method for general relativity and an application of that method. The method involves the use of harmonic coordinates in a 3+1 code to evolve the Einstein equations with scalar field matter. In such…

General Relativity and Quantum Cosmology · Physics 2011-04-21 David Garfinkle

This paper introduces a phase tracking method for planetary radio science research with computational algorithm implemented fo r NVIDIA GPUs. In contrast to the phase-locked loop (PPL) phase counting method used in traditional Doppler data…

Instrumentation and Methods for Astrophysics · Physics 2019-07-23 Nianchuan Jian , Dmitry Mikushin , Jianguo Yan