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In this paper a relative number density parameter, called the neighborhood function, is introduced so that the crowded nature of the neighborhood of individual sources can be described. With this parameter one can determine the probability…

Astrophysics · Physics 2009-11-13 Yi-Ping Qin , Lian-Zhong Lv , Fu-Wen Zhang , Bin-Bin Zhang , Jin Zhang

In this work, we use the theory of spatial networks to analyze galaxy distributions. The aim is to develop new approaches to study the spatial galaxy environment properties by means of the network parameters. We investigate how each of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-03 Evelise Gausmann , Fabricio Ferrari

In this paper, a new multi-hop weighted clustering procedure is proposed for homogeneous Mobile Ad hoc networks. The algorithm generates double star embedded non-overlapping cluster structures, where each cluster is managed by a leader node…

Discrete Mathematics · Computer Science 2011-05-02 T. N. Janakiraman , A. Senthil Thilak

A method has been found to analyze Edwards' granular contact force probability functional for a special case. As a result, the granular contact force probability density functions are obtained from first principles for this case. The…

Statistical Mechanics · Physics 2009-11-10 Philip Metzger

This report presents a survey on how to group together in a static way planar nodes, that may belong to a wireless network (ad hoc or cellular). The aim is to identify appropriate methods that could also be applied for Point Processes.…

Networking and Internet Architecture · Computer Science 2016-02-15 Anastasios Giovanidis

We investigate the application of Hybrid Effective Field Theory (HEFT) -- which combines a Lagrangian bias expansion with subsequent particle dynamics from $N$-body simulations -- to the modeling of $k$-Nearest Neighbor Cumulative…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-02 Arka Banerjee , Nickolas Kokron , Tom Abel

The electric microfield distribution (MFD) at an impurity ion is studied for two-component (TCP) electron-ion plasmas using molecular dynamics simulation and theoretical models. The particles are treated within classical statistical…

Plasma Physics · Physics 2009-11-13 H. B. Nersisyan , D. A. Osipyan , G. Zwicknagel

We present a comprehensive approach to the modeling, performance analysis, and design of clustered molecular nanonetworks in which nano-machines of different clusters release an appropriate number of molecules to transmit their sensed…

Information Theory · Computer Science 2023-04-11 Seyed Mohammad Azimi-Abarghouyi , Harpreet S. Dhillon , Leandros Tassiulas

In this paper, we consider the problem of joint sparsity pattern recovery in a distributed sensor network. The sparse multiple measurement vector signals (MMVs) observed by all the nodes are assumed to have a common (but unknown) sparsity…

Information Theory · Computer Science 2016-01-27 Gang Li , Thakshila Wimalajeewa , Pramod K. Varshney

We consider the problem of clustering noisy finite-length observations of stationary ergodic random processes according to their nonparametric generative models without prior knowledge of the model statistics and the number of generative…

Machine Learning · Statistics 2016-11-18 Michael Tschannen , Helmut Bölcskei

We want to approximate general multivariate probability density functions by deterministic sample sets. For optimal sampling, the closeness to the given continuous density has to be assessed. This is a difficult challenge in multivariate…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Uwe D. Hanebeck

We analyze the structure and connectivity of the distinct morphologies that define the Cosmic Web. With the help of our Multiscale Morphology Filter (MMF), we dissect the matter distribution of a cosmological $\Lambda$CDM N-body computer…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Miguel A. Aragon-Calvo , Rien van de Weygaert , Bernard J. T. Jones

Using numerical diagonalization of a 4x4 cluster, we calculate on-site s, extended s and d pairing correlation functions (PCF) in an effective generalized Hubbard model for the cuprates, with nearest-neighbor correlated hopping and next…

Superconductivity · Physics 2009-10-31 L. Arrachea , A. Aligia

We propose a graph-based clustering method based on Cluster Catch Digraphs (CCDs) that extends their applicability to moderate-dimensional data settings. Existing CCD variants, such as RK-CCDs, rely on spatial randomness tests based on…

Machine Learning · Computer Science 2026-04-15 Rui Shi , Elvan Ceyhan , Nedret Billor

We study the properties of 2D fibre clusters and networks formed by deposition processes. We first examine the growth and scaling properties of single clusters. We then consider a network of such clusters, whose spatial distribution obeys…

Condensed Matter · Physics 2009-10-28 N. Provatas , T. Ala-Nissila , M. J. Alava

We show that the nearest neighbour distribution of distances between basis pairs of some intron-less and intron-containing coding regions are the same when a procedure, called {\em unfolding}, is applied. Such a procedure consists in…

Quantitative Methods · Quantitative Biology 2009-11-13 M. F. Higareda , H. Hernández-Saldaña , R. A. Méndez-Sánchez

Density-based clustering methods often surpass centroid-based counterparts, when addressing data with noise or arbitrary data distributions common in real-world problems. In this study, we reveal a key property intrinsic to density-based…

Machine Learning · Computer Science 2025-06-30 Oron Nir , Jay Tenenbaum , Ariel Shamir

We investigate whether neighbor-density-weighted marked correlation functions (MCFs) can extract cosmological information beyond the standard redshift-space two-point correlation function (2PCF). Using the Kun suite of 129 $w_0w_a$CDM$+\sum…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-25 Xu Xiao , Xiao-Dong Li , Yiqi Huang , Le Zhang

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

A protein contact map is a binary symmetric adjacency matrix capturing the distance relationship between atoms of a protein. Each cell (i, j) of a protein contact map states whether the atoms (nodes) i and j are within some Euclidean…

Molecular Networks · Quantitative Biology 2013-05-07 Susan Khor
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