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We investigate the characteristics and the time evolution of the cosmic web from redshift, z=2, to present time, within the framework of the NEXUS+ algorithm. This necessitates the introduction of new analysis tools optimally suited to…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-19 Marius Cautun , Rien van de Weygaert , Bernard J. T. Jones , Carlos S. Frenk

In this paper we explore the use of spatial clustering algorithms as a new computational approach for modeling the cosmic web. We demonstrate that such algorithms are efficient in terms of computing time needed. We explore three distinct…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Dimitrios Kelesis , Spyros Basilakos , Vicky Papadopoulou Lesta , Dimitris Fotakis , Andreas Efstathiou

Development of fundamental physics relies on the constancy of various fundamental quantities such as the fine structure constant. Detecting or constraining the possible time variations of these fundamental physical quantities is an…

Astrophysics · Physics 2009-11-10 H. Chand , R. Srianand , P. Petitjean , B. Aracil

We describe the Bayesian BARCODE formalism that has been designed towards the reconstruction of the Cosmic Web in a given volume on the basis of the sampled galaxy cluster distribution. Based on the realization that the massive compact…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 E. G. Patrick Bos , Rien van de Weygaert , Francisco Kitaura , Marius Cautun

On large cosmological scales, anisotropic gravitational collapse is manifest in the dark cosmic web. Its statistical properties are little known for alternative dark matter models such as fuzzy dark matter (FDM). In this work, we assess for…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-17 Tibor Dome , Anastasia Fialkov , Nina Sartorio , Philip Mocz

It is possible to visualize the Cosmic Web as an interconnected network of one-dimensional filaments, two-dimensional sheets and three-dimensional volume-filling structures which we refer to as clusters. We have used the Local Dimension D,…

Cosmology and Nongalactic Astrophysics · Physics 2012-08-28 Prakash Sarkar , Biswajit Pandey , Somnath Bharadwaj

We introduce a spectral hierarchy of cosmic-web classifications obtained by applying simple scale-weighting kernels to the density field before performing a standard eigenvalue-based web classification. This unifies and extends several…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-18 Francisco-Shu Kitaura , Francesco Sinigaglia

Modern cosmology predicts that matter in our Universe has assembled today into a vast network of filamentary structures colloquially termed the Cosmic Web. Because this matter is either electromagnetically invisible (i.e., dark) or too…

We present a general formalism for identifying the caustic structure of an evolving mass distribution in an arbitrary dimensional space. For the class of Hamiltonian fluids the identification corresponds to the classification of…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Job Feldbrugge , Rien van de Weygaert , Johan Hidding , Joost Feldbrugge

We introduce the NEXUS algorithm for the identification of Cosmic Web environments: clusters, filaments, walls and voids. This is a multiscale and automatic morphological analysis tool that identifies all the cosmic structures in a scale…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Marius Cautun , Rien van de Weygaert , Bernard J. T. Jones

VC-dimension and $\varepsilon$-nets are key concepts in Statistical Learning Theory. Intuitively, VC-dimension is a measure of the size of a class of sets. The famous $\varepsilon$-net theorem, a fundamental result in Discrete Geometry,…

Machine Learning · Computer Science 2024-10-10 Sujoy Bhore , Devdan Dey , Satyam Singh

Context. Gravitational lensing is one of the leading tools in understanding the dark side of the Universe. The need for accurate, efficient and effective methods which are able to extract this information along with other cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Marika Asgari , Peter Schneider , Patrick Simon

The large-scale structure of the universe is comprised of virialized blob-like clusters, linear filaments, sheet-like walls and huge near empty three-dimensional voids. Characterizing the large scale universe is essential to our…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-06 Nithin Shivshankar , Pratyush Pranav , Vijay Natarajan , Rien van de Weygaert , E G Patrick Bos , Steven Rieder

With the increasing availability of streaming data in dynamic systems, a critical challenge in data-driven modeling for control is how to efficiently select informative data to characterize system dynamics. In this work, we develop an…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Jingyuan Li , Dawei Shi , Ling Shi

Precise cosmic web classification of observed galaxies in massive spectroscopic surveys can be either highly uncertain or computationally expensive. As an alternative, we explore a fast Machine Learning-based approach to infer the…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 John F. Suárez-Pérez , Yeimy Camargo , Xiao-Dong Li , Jaime E. Forero-Romero

We describe how the dynamics of cosmic structure formation defines the intricate geometric structure of the spine of the cosmic web. The Zeldovich approximation is used to model the backbone of the cosmic web in terms of its singularity…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-28 Johan Hidding , Sergei F. Shandarin , Rien van de Weygaert

With huge data acquisition progresses realized in the past decades and acquisition systems now able to produce high resolution grids and point clouds, the digitization of physical terrains becomes increasingly more precise. Such extreme…

Understanding the structure of the matter distribution in the Universe due to the action of the gravitational instability -- the cosmic web -- is complicated by lack of direct analytic access to the nonlinear domain of structure formation.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Sergei Shandarin , Salman Habib , Katrin Heitmann

A new cosmological test is derived, based on the distribution of individual V/Vmax in a complete redshift-limited sample of distant objects. The fundamental assumption is that, in any bin of absolute luminosity, individual V/Vmax are…

Astrophysics · Physics 2007-05-23 L. Van Waerbeke , G. Mathez , Y. Mellier , H. Bonnet , M. Lachieze-Rey