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Questions such as whether we live in a spatially finite universe, and what its shape and size may be, are among the fundamental open problems that high precision modern cosmology needs to resolve. These questions go beyond the scope of…

Astrophysics · Physics 2007-05-23 M. J. Reboucas , G. I. Gomero

Cosmological surveys aim at answering fundamental questions about our Universe, including the nature of dark matter or the reason of unexpected accelerated expansion of the Universe. In order to answer these questions, two important…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-02 Xinyue Zhang , Yanfang Wang , Wei Zhang , Yueqiu Sun , Siyu He , Gabriella Contardo , Francisco Villaescusa-Navarro , Shirley Ho

We explore the information theory entropy of a graph as a scalar to quantify the cosmic web. We find entropy values in the range between 1.5 and 3.2 bits. We argue that this entropy can be used as a discrete analogue of scalars used to…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-20 María Valentina García-Alvarado , Jaime E. Forero-Romero , Xiao-Dong Li

We consider clustering in group decision making where the opinions are given by pairwise comparison matrices. In particular, the k-medoids model is suggested to classify the matrices since it has a linear programming problem formulation…

Optimization and Control · Mathematics 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató

Local explanation frameworks aim to rationalize particular decisions made by a black-box prediction model. Existing techniques are often restricted to a specific type of predictor or based on input saliency, which may be undesirably…

Machine Learning · Computer Science 2019-02-12 Brandon Carter , Jonas Mueller , Siddhartha Jain , David Gifford

We consider the problem of classification of points sampled from an unknown probability measure on a Euclidean space. We study the question of querying the class label at a very small number of judiciously chosen points so as to be able to…

Machine Learning · Computer Science 2020-12-09 Alexander Cloninger , Hrushikesh Mhaskar

We deal with the problem of semantic classification of challenging and highly-cluttered dataset. We present a novel, and yet a very simple classification technique by leveraging the ease of classifiability of any existing well separable…

Computer Vision and Pattern Recognition · Computer Science 2021-04-22 Ushasi Chaudhuri , Syomantak Chaudhuri , Subhasis Chaudhuri

The nature versus nurture scenario in galaxy and group evolution is a long-standing problem not yet fully understood on cosmological scales. We study the properties of groups and their central galaxies in different large-scale environments…

Astrophysics of Galaxies · Physics 2017-01-11 Anup Poudel , Pekka Heinämäki , Elmo Tempel , Maret Einasto , Heidi Lietzen , Pasi Nurmi

The 80% of the matter in the Universe is in the form of dark matter that comprises the skeleton of the large-scale structure called the Cosmic Web. As the Cosmic Web dictates the motion of all matter in galaxies and inter-galactic media…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-28 Sungwook E. Hong , Donghui Jeong , Ho Seong Hwang , Juhan Kim

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

Standard methods of using categorical variables as predictors either endow them with an ordinal structure or assume they have no structure at all. However, categorical variables often possess structure that is more complicated than a linear…

Machine Learning · Statistics 2020-04-17 Brian Lucena

In cluster analysis, it can be useful to interpret the partition built from the data in the light of external categorical variables which were not directly involved to cluster the data. An approach is proposed in the model-based clustering…

Large-scale structure of Universe includes galaxy clusters connected by filaments. Voids occupy the rest of cosmic volume. The search of any dependencities in filament structure can give answer to more general questions about origin of…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-09 V. V. Voitsekhovskiy , A. V. Tugay

Data-driven astrophysics currently relies on the detection and characterisation of correlations between objects' properties, which are then used to test physical theories that make predictions for them. This process fails to utilise…

Astrophysics of Galaxies · Physics 2026-03-17 Harry Desmond , Joseph Ramsey

This work describes the implementation and application of a correlation determination method based on Self Organizing Maps and Bayesian Inference (SOMBI). SOMBI aims to automatically identify relations between different observed parameters…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-02 Philipp Frank , Jens Jasche , Torsten A. Enßlin

We present, for the first time, a Local Universe (LU) characterization using high precision constrained $N$-body simulations based on self-consistent phase-space reconstructions of the large-scale structure in the Two-Micron All-Sky Galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-29 Sebastian E. Nuza , Francisco-Shu Kitaura , Steffen Hess , Noam I. Libeskind , Volker Mueller

One of the most relevant problems in the extraction of scientifically useful information from wide field astronomical images (both photographic plates and CCD frames) is the recognition of the objects against a noisy background and their…

Astrophysics · Physics 2016-11-17 S. Andreon , G. Gargiulo , G. Longo , R. Tagliaferri , N. Capuano

Data mining techniques, including clustering and classification tasks, for the automatic information extraction from large datasets are increasingly demanded in several scientific fields. In particular, in the astrophysical field, large…

Astrophysics · Physics 2015-06-24 M. Frailis , A. De Angelis , V. Roberto

A novel fractal analysis of the cosmic web structure is carried out, employing the Sloan Digital Sky Survey, data release 7. We consider the large-scale stellar mass distribution, unlike other analyses, and determine its multifractal…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Jose Gaite

In the collaborative clustering framework, the hope is that by combining several clustering solutions, each one with its own bias and imperfections, one will get a better overall solution. The goal is that each local computation, quite…

Machine Learning · Computer Science 2021-03-25 Yohan Foucade , Younès Bennani
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