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While galaxy cluster catalogs were compiled many decades ago, other structural elements of cosmic web are detected at definite level only in the newest works. For example, extragalactic filaments were described by velocity field and SDSS…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-19 A. V. Tugay

The number density of galaxy clusters across mass and redshift has been established as a powerful cosmological probe. Cosmological analyses with galaxy clusters traditionally employ scaling relations. However, many challenges arise from…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-08 M. Kosiba , N. Cerardi , M. Pierre , F. Lanusse , C. Garrel , N. Werner , M. Shalak

Cosmology has come a long way from being based on a small number of observations to being a data-driven precision science. We discuss the questions "What is observable?", "What in the Universe is knowable?" and "What are the fundamental…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-28 Florent Leclercq , Alice Pisani , Benjamin D. Wandelt

Reconstructing astrophysical and cosmological fields from observations is challenging. It requires accounting for non-linear transformations, mixing of spatial structure, and noise. In contrast, forward simulators that map fields to…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-01 Florian List , Noemi Anau Montel , Christoph Weniger

In this work, decision tree learning algorithms and fuzzy inferencing systems are applied for galaxy morphology classification. In particular, the CART, the C4.5, the Random Forest and fuzzy logic algorithms are studied and reliable…

Astrophysics of Galaxies · Physics 2010-06-02 Adam Gauci , Kristian Zarb Adami , John Abela

The geometric optics approximation traditionally used to study the propagation of gravitational waves on a curved background, breaks down in the vicinity of compact and extended astrophysical objects, where wave-like effects like diffusion…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Giulia Cusin , Ruth Durrer , Pedro G. Ferreira

Complex systems are often driven by higher-order interactions among multiple units, naturally represented as hypergraphs. Understanding dependency structures within these hypergraphs is crucial for understanding and predicting the behavior…

Social and Information Networks · Computer Science 2025-05-29 John Hood , Caterina De Bacco , Aaron Schein

Matter evolved under influence of gravity from minuscule density fluctuations. Non-perturbative structure formed hierarchically over all scales, and developed non-Gaussian features in the Universe, known as the Cosmic Web. To fully…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-01 Siyu He , Yin Li , Yu Feng , Shirley Ho , Siamak Ravanbakhsh , Wei Chen , Barnabás Póczos

The ability to test the nature of dark mass-energy components in the universe through large-scale structure studies hinges on accurate predictions of sky survey expectations within a given world model. Numerical simulations predict key…

The theory of general relativity, which is extremely well verified by classic tests in the solar system as well as by the radiation of the binary pulsar, is one of the fundamental tools of nowadays astrophysics. It permits the computation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

Low-rank matrix approximations, such as the truncated singular value decomposition and the rank-revealing QR decomposition, play a central role in data analysis and scientific computing. This work surveys and extends recent research which…

Numerical Analysis · Mathematics 2014-04-29 Nathan Halko , Per-Gunnar Martinsson , Joel A. Tropp

A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

Quantum Physics · Physics 2009-10-30 Tad Hogg

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

Artificial Intelligence · Computer Science 2012-12-05 Eric Mjolsness

We present probabilistic neural programs, a framework for program induction that permits flexible specification of both a computational model and inference algorithm while simultaneously enabling the use of deep neural networks.…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Kenton W. Murray , Jayant Krishnamurthy

We review Grover's algorithm by means of a detailed geometrical interpretation and a worked out example. Some basic concepts of Quantum Mechanics and quantum circuits are also reviewed. This work is intended for non-specialists which have…

Quantum Physics · Physics 2007-05-23 C. Lavor , L. R. U. Manssur , R. Portugal

The current understanding of structure formation in the early universe is mainly built on a magnification of quantum fluctuations in an initial vacuum state during an early phase of accelerated universe expansion. One usually describes this…

Astrophysics · Physics 2008-08-06 Martin Bojowald , Aureliano Skirzewski

This paper proposes a morpho-statistical characterisation of the galaxy distribution through spatial statistical modelling based on inhomogeneous Gibbs point processes. The galaxy distribution is supposed to exhibit two components. The…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-18 Lluís Hurtado-Gil , Radu S. Stoica , Vicent J. Martínez , Pablo Arnalte-Mur

The copious scientific literature produced after the detection of GW170817 electromagnetic counterpart demonstrated the importance of a prompt and accurate localization of the gravitational wave within the co-moving volume. In this letter,…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Stefano Rinaldi , Walter Del Pozzo

Large-scale sky surveys require companion large volume simulated mock catalogs. To ensure precision cosmology studies are unbiased, the correlations in these mocks between galaxy properties and their large-scale environments must be…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-25 Sujatha Ramakrishnan , Aseem Paranjape , Ravi K. Sheth

We present a comparison between two optical cluster finding methods: a matched filter algorithm using galaxy angular coordinates and magnitudes, and a percolation algorithm using also redshift information. We test the algorithms on two mock…

Astrophysics · Physics 2009-11-10 D. Rizzo , C. Adami , S. Bardelli , A. Cappi , E. Zucca , B. Guiderdoni , G. Chincarini , A. Mazure