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This paper studies the distributed control and estimation of multi-agent systems based on bearing information. In particular, we consider two problems: (i) the distributed control of bearing-constrained formations using relative position…

Systems and Control · Computer Science 2015-03-31 Shiyu Zhao , Daniel Zelazo

The scaling of correlations as a function of system size provides important hints to understand critical phenomena on a variety of systems. Its study in biological systems offers two challenges: usually they are not of infinite size, and in…

Disordered Systems and Neural Networks · Physics 2020-07-17 Daniel A. Martin , Tiago L. Ribeiro , Sergio A. Cannas , Tomas S. Grigera , Dietmar Plenz , Dante R. Chialvo

We present measurements of projected autocorrelation functions w_p(r_p) for the stellar mass of galaxies and for their light in the U, B and V bands, using data from the third data release of the DEEP2 Galaxy Redshift Survey and the final…

The notion of stochastic shadowing property is introduced. Relations to stochastic stability and standard shadowing are studied. Using tent map as an example it is proved that, in contrast to what happens for standard shadowing, there are…

Dynamical Systems · Mathematics 2014-12-01 Dmitry Todorov

We study the effects of noise cross-correlations on the steady states of driven, nonequilibrium systems, which are described by two stochastically driven dynamical variables, in one dimension. We use a well-known stochastically driven…

Statistical Mechanics · Physics 2023-08-24 Sudip Mukherjee

The recent attention towards research and development in cyber-physical energy systems has introduced the necessity of emerging multi-domain co-simulation tools. Different educational, research and industrial efforts have been set to tackle…

Other Computer Science · Computer Science 2018-11-19 Cornelius Steinbrink , Florian Schlögl , Davood Babazadeh , Sebastian Lehnhoff , Sebastian Rohjans , Anand Narajan

We show how the cosmological constant can be estimated from redshift surveys at different redshifts, using maximum-likelihood techniques. The apparent redshift-space clustering on large scales (\simgt 20 \himpc) are affected in the radial…

Astrophysics · Physics 2009-11-06 Takahiko Matsubara , Alexander S. Szalay

To accurately estimate locations and velocities of surrounding targets (cars) is crucial for advanced driver assistance systems based on radar sensors. In this paper we derive methods for fusing data from multiple radar sensors in order to…

Signal Processing · Electrical Eng. & Systems 2019-08-08 Bin Zhu , Augusto Ferrante , Johan Karlsson , Mattia Zorzi

We propose a new cross-correlation method that can recognize independent realizations of the same type of stochastic processes and can be used as a new kind of pattern recognition tool in biometrics, sensing, forensic, security and image…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Jong U. Kim , Laszlo B. Kish

Networks play a prominent role in the study of complex systems of interacting entities in biology, sociology, and economics. Despite this diversity, we demonstrate here that a statistical model decomposing networks into matching and…

Physics and Society · Physics 2016-02-05 Rudolf P. Rohr , Russel E. Naisbit , Christian Mazza , Louix-Félix Bersier

An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base…

Probability · Mathematics 2013-01-21 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

Continuously indexed datasets with multiple variables have become ubiquitous in the geophysical, ecological, environmental and climate sciences, and pose substantial analysis challenges to scientists and statisticians. For many years,…

Methodology · Statistics 2015-07-30 Marc G. Genton , William Kleiber

Surface charge controls many static and dynamic properties of soft matter and micro/nanofluidic systems, but its unambiguous measurement forms a challenge. Standard characterization methods typically probe an effective surface charge, which…

Soft Condensed Matter · Physics 2018-08-28 Remco Hartkamp , Anne-Laure Biance , Li Fu , Jean-François Dufrêche , Oriane Bonhomme , Laurent Joly

We develop the formalism to include substructure in the halo model of clustering. Real halos are not likely to be perfectly smooth, but have substructure which has so far been neglected in the halo model -- our formalism allows one to…

Astrophysics · Physics 2009-11-07 Ravi K. Sheth , Bhuvnesh Jain

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

Machine Learning · Statistics 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

In statistical modeling of computer experiments sometimes prior information is available about the underlying function. For example, the physical system simulated by the computer code may be known to be monotone with respect to some or all…

Methodology · Statistics 2014-06-17 Shirin Golchi , Derek R. Bingham , Hugh Chipman , David A. Campbell

We investigate the behaviour of randomly cross-linked (co)polymer blends using a combination of replica theory and large-scale molecular dynamics simulations. In particular, we derive the analogue of the random phase approximation for…

Soft Condensed Matter · Physics 2009-11-13 A. V. Klopper , Carsten Svaneborg , Ralf Everaers

In situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

Methodology · Statistics 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

In this report, we present a wide variety of ways in which information from multiple probes of dark energy may be combined to obtain additional information not accessible when they are considered separately. Fundamentally, because all major…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-14 J. Rhodes , S. Allen , B. A. Benson , T. Chang , R. de Putter , S. Dodelson , O. Dore , K. Honscheid , E. Linder , B. Menard , J. Newman , B. Nord , E. Rozo , A. Vallinotto , D. Weinberg

This paper presents a new approach to combine cross-correlation functions. The combination is based on a maximum-likelihood approach and uses a non-linear combination scheme. It can be effective for radial-velocity analysis of multi-order…

Astrophysics · Physics 2007-05-23 Shay Zucker