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The nature of dark energy and the complete theory of gravity are two central questions currently facing cosmology. A vital tool for addressing them is the 3-point correlation function (3PCF), which probes deviations from a spatially random…

Szapudi et al (2001) introduced the method of estimating angular power spectrum of the CMB sky via heuristically weighted correlation functions. Part of the new technique is that all (co)variances are evaluated by massive Monte Carlo…

Astrophysics · Physics 2007-05-23 I. Szapudi , S. Prunet , S. Colombi

We present a computational framework for piecewise constant functions (PCFs) and use this for several types of computations that are useful in statistics, e.g., averages, similarity matrices, and so on. We give a linear-time,…

Computation · Statistics 2024-04-11 Björn H. Wehlin

The study of binary pulsars enables tests of general relativity. Orbital motion in binary systems causes the apparent pulsar spin frequency to drift, reducing the sensitivity of periodicity searches. Acceleration searches are methods that…

Instrumentation and Methods for Astrophysics · Physics 2018-12-12 Sofia Dimoudi , Karel Adamek , Prabu Thiagaraj , Scott M. Ransom , Aris Karastergiou , Wesley Armour

Though Fourier Transforms (FTs) are a common technique for finding correlation functions, they are not typically used in computations of the anisotropy of the two-point correlation function (2PCF) about the line of sight in wide-angle…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-28 Zachary Slepian , Daniel J. Eisenstein

Many modern sequence alignment tools implement fast string matching using the space efficient data structure called FM-index. The succinct nature of this data structure presents unique challenges for the algorithm designers. In this paper,…

Data Structures and Algorithms · Computer Science 2019-09-04 Roman Snytsar

Every numerical general relativistic investigation starts from the solution of the initial value equations at a given time. Astrophysically relevant initial values for different systems lead to distinct set of equations that obey specific…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Lambros Boukas , Antonios Tsokaros , Koji Uryu

The FFT of three-dimensional (3D) input data is an important computational kernel of numerical simulations and is widely used in High Performance Computing (HPC) codes running on a large number of processors. Performance of many scientific…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-28 Vivek Gavane , Supriya Prabhugawankar , Shivam Garg , Archana Achalere , Rajendra Joshi

This work explores an unexpected application of Implicit Computational Complexity (ICC) to parallelize loops in imperative programs. Thanks to a lightweight dependency analysis, our algorithm allows splitting a loop into multiple loops that…

Programming Languages · Computer Science 2022-06-20 Clément Aubert , Thomas Rubiano , Neea Rusch , Thomas Seiller

Parallelization schemes are essential in order to exploit the full benefits of multi-core architectures. In said architectures, the most comprehensive parallelization API is OpenMP. However, the introduction of correct and optimal OpenMP…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-28 Idan Mosseri , Lee-or Alon , Re'em Harel , Gal Oren

Efficient code writing is both a critical and challenging task, especially with the growing demand for computationally intensive algorithms in statistical and machine-learning applications. Despite the availability of significant…

Mathematical Software · Computer Science 2025-01-28 Jonathan Berrisch

Correlation filter (CF) based tracking algorithms have demonstrated favorable performance recently. Nevertheless, the top performance trackers always employ complicated optimization methods which constraint their real-time applications. How…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Yipeng Ma , Chun Yuan , Peng Gao , Fei Wang

Discovering causal relationships from data is the ultimate goal of many research areas. Constraint based causal exploration algorithms, such as PC, FCI, RFCI, PC-simple, IDA and Joint-IDA have achieved significant progress and have many…

Artificial Intelligence · Computer Science 2015-10-13 Thuc Duy Le , Tao Hoang , Jiuyong Li , Lin Liu , Shu Hu

Correlation filter-based trackers heavily suffer from the problem of multiple peaks in their response maps incurred by occlusions. Moreover, the whole tracking pipeline may break down due to the uncertainties brought by shifting among…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Zheng Zhang , T. T. Wong

Among various soft computing approaches for time series forecasting, Fuzzy Cognitive Maps (FCM) have shown remarkable results as a tool to model and analyze the dynamics of complex systems. FCM have similarities to recurrent neural networks…

Artificial Intelligence · Computer Science 2022-01-11 Omid Orang , Petrônio Cândido de Lima e Silva , Frederico Gadelha Guimarães

Calculating interactions or correlations between pairs of particles is typically the most time-consuming task in particle simulation or correlation analysis. Straightforward implementations using a double loop over particle pairs have…

Computational Physics · Physics 2015-06-16 Szilárd Páll , Berk Hess

Correlation Clustering is a classic clustering objective arising in numerous machine learning and data mining applications. Given a graph $G=(V,E)$, the goal is to partition the vertex set into clusters so as to minimize the number of edges…

Data Structures and Algorithms · Computer Science 2024-07-17 Vincent Cohen-Addad , David Rasmussen Lolck , Marcin Pilipczuk , Mikkel Thorup , Shuyi Yan , Hanwen Zhang

Modern high-performance computing and Internet-of-Things deployments increasingly generate large volumes of signal data that must be compressed efficiently on resource-constrained acquisition devices and decompressed at scale on centralized…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Ben Mechels , Ryan Billmeyer , Alexander Chen , Shiyang Li , Caiwen Ding

Counting pairs of galaxies or stars according to their distance is at the core of real-space correlation analyzes performed in astrophysics and cosmology. Upcoming galaxy surveys (LSST, Euclid) will measure properties of billions of…

Instrumentation and Methods for Astrophysics · Physics 2022-01-04 S. Plaszczynski , J. E. Campagne , J. Peloton , C. Arnault

In response to the increasing volume and sensitivity of data, traditional centralized computing models face challenges, such as data security breaches and regulatory hurdles. Federated Computing (FC) addresses these concerns by enabling…

Machine Learning · Computer Science 2024-04-04 René Schwermer , Ruben Mayer , Hans-Arno Jacobsen