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This paper revisits the problem of computing empirical cumulative distribution functions (ECDF) efficiently on large, multivariate datasets. Computing an ECDF at one evaluation point requires $\mathcal{O}(N)$ operations on a dataset…

Data Structures and Algorithms · Computer Science 2021-09-21 Nicolas Langrené , Xavier Warin

We present a new approach to measuring cosmic expansion history and growth rate of large scale structure using the anisotropic two dimensional galaxy correlation function (2DCF) measured from data; it makes use of the empirical modeling of…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-07 Yun Wang

Novel summary statistics beyond the standard 2-point correlation function (2PCF) are necessary to capture the full astrophysical and cosmological information from the small-scale (r < 30Mpc/h) galaxy clustering. However, the analysis of…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Sihan Yuan , Boryana Hadzhiyska , Tom Abel

The emergence of artificial intelligence (AI) accelerators like NVIDIA Tensor Cores offers new opportunities to speed up tensor-heavy scientific computations. However, applying them to quantum chemistry is challenging due to strict accuracy…

Chemical Physics · Physics 2026-04-20 Hua Huang , Wenkai Shao , Jeff Hammond

The massive quantities of genomic data being made available through gene sequencing techniques are enabling breakthroughs in genomic science in many areas such as medical advances in the diagnosis and treatment of diseases. Analyzing this…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-24 Wayne Joubert , James Nance , Sharlee Climer , Deborah Weighill , Daniel Jacobson

We develop a theoretical framework to provide observational constraints on the early Universe galaxy-halo connection by combining measurements of the UV luminosity function (UVLF) and galaxy clustering via the 2-point correlation function…

Correlation filters take advantage of specific properties in the Fourier domain allowing them to be estimated efficiently: O(NDlogD) in the frequency domain, versus O(D^3 + ND^2) spatially where D is signal length, and N is the number of…

Computer Vision and Pattern Recognition · Computer Science 2014-04-01 Hamed Kiani Galoogahi , Terence Sim , Simon Lucey

The three-point correlation function (3PCF) can now be measured in large galaxy redshift surveys, but in three dimensions its interpretation is complicated by the presence of redshift-space distortions. I investigate the projected 3PCF,…

Astrophysics · Physics 2009-11-10 Zheng Zheng

In a detailed analysis of the three point correlation function (3PCF) for the 2dF Galaxy Redshift Survey we have accurately measured the 3PCF for galaxies of different luminosity. The 3PCF amplitudes [$\Qsu$ or $\Qrpu$] of the galaxies…

Astrophysics · Physics 2009-11-10 Y. P. Jing , G. Boerner

Classical density functional theory (DFT) of fluids is a valuable tool to analyze inhomogeneous fluids. However, few numerical solution algorithms for three-dimensional systems exist. Here we present an efficient numerical scheme for fluids…

We present a general perturbative effective field theory (EFT) description of galaxy shape correlations, which are commonly known as intrinsic alignments. This rigorous approach extends current analytical modelling strategies in that it…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Zvonimir Vlah , Nora Elisa Chisari , Fabian Schmidt

We present a new, objectively defined catalog of candidate galaxy clusters based on the galaxy catalogs from the Digitized Second Palomar Observatory Sky Survey (DPOSS). This cluster catalog, derived from the best calibrated plates in the…

We present estimates of the N-point galaxy, area-averaged, angular correlation functions $\bar{\omega}_{N}$($\theta$) for $N$ = 2,...,7 for galaxies from the fifth data release of the Sloan Digital Sky Survey. Our parent sample is selected…

Astrophysics · Physics 2009-11-13 Ashley J. Ross , Robert J. Brunner , Adam D. Myers

Background: The equation of state (EoS) of nucleonic matter is central for the understanding of bulk nuclear properties, the physics of neutron star crusts, and the energy release in supernova explosions. Purpose: This work presents…

The standard particle-in-cell algorithm suffers from grid heating. There exists a gridless alternative which bypasses the deposition step and calculates each Fourier mode of the charge density directly from the particle positions. We show…

Plasma Physics · Physics 2019-09-04 Matthew S. Mitchell , Matthew T. Miecnikowski , Gregory Beylkin , Scott E. Parker

In the near future a new generation of CCD based galaxy surveys will enable high precision determination of the N-point correlation functions. The resulting information will help to resolve the ambiguities associated with two-point…

Astrophysics · Physics 2009-10-30 Istvan Szapudi

Existing methods for rotation estimation between two spherical ($\mathbb{S}^2$) patterns typically rely on spherical cross-correlation maximization between two spherical function. However, these approaches exhibit computational complexities…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Anik Sarker , Alan T. Asbeck

Context. A novel high-performance exact pair counting toolkit called Fast Correlation Function Calculator (FCFC) is presented, which is publicly available at https://github.com/cheng-zhao/FCFC. Aims. As the rapid growth of modern…

Instrumentation and Methods for Astrophysics · Physics 2023-04-05 Cheng Zhao

We present a new approach for solving (minimum disagreement) correlation clustering that results in sublinear algorithms with highly efficient time and space complexity for this problem. In particular, we obtain the following algorithms for…

Data Structures and Algorithms · Computer Science 2021-09-30 Sepehr Assadi , Chen Wang

We describe a new method (\textsc{CompaSO}) for identifying groups of particles in cosmological $N$-body simulations. \textsc{CompaSO} builds upon existing spherical overdensity (SO) algorithms by taking into consideration the tidal radius…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-25 Boryana Hadzhiyska , Daniel Eisenstein , Sownak Bose , Lehman H. Garrison , Nina Maksimova
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