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Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit
Dark vortex dynamic evolution two-dimensional discrete nonlinear schrodinger defocused model
2014/12/24
In this paper, we consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing discrete nonlinear Schrödinger model, a model of interest both ...
Discrete Breathers in a Forced-Damped Array of Coupled Pendula: Modeling, Computation, and Experiment
Machinery the localization model enhance the liquidity local mode damping coupling
2014/12/24
In this work, we present a mechanical example of an experimental realization of a stability reversal between on-site and intersite centered localized modes. A corresponding realization of a vanishing ...
Discrete holomorphic geometry I. Darboux transformations and spectral curves
Discrete regular concept map discrete Riemann discrete differential geometry the discrete surface
2014/12/24
Finding appropriate notions of discrete holomorphic maps and, more generally, conformal immersions of discrete Riemann surfaces into 3-space is an important problem of discrete differential geometry a...
Intrinsic energy localization through discrete gap breathers in one-dimensional diatomic granular crystals
Discrete space breathing apparatus a one-dimensional compression elastic bead chain Hertz diatomic chain heavy particles
2014/12/24
We present a systematic study of the existence and stability of discrete breathers that are spatially localized in the bulk of a one-dimensional chain of compressed elastic beads that interact via Her...
Discrete Breathers in One-Dimensional Diatomic Granular Crystals
The coupling instability discrete respirator dimensional diatomic granular crystal compression elastic beads Hertz contact
2014/12/24
We report the experimental observation of modulational instability and discrete breathers in a one-dimensional diatomic granular crystal composed of compressed elastic beads that interact via Hertzian...
Ensemble Copula Coupling as a Multivariate Discrete Copula Approach
multivariate discrete copula stochastic array Sklar’s theorem statistical ensemble postprocessing ensemble copula coupling
2013/6/14
In probability and statistics, copulas play important roles theoretically as well as to address a wide range of problems in various application areas. In this paper, we introduce the concept of multiv...
Robust Hydraulic Fracture Monitoring (HFM) of Multiple Time Overlapping Events Using a Generalized Discrete Radon Transform
Robust Hydraulic Fracture Monitoring (HFM) Multiple Time Overlapping Events aGeneralized Discrete Radon Transform
2013/6/14
In this work we propose a novel algorithm for multiple-event localization for Hydraulic Fracture Monitoring (HFM) through the exploitation of the sparsity of the observed seismic signal when represent...
Inferring Team Strengths Using a Discrete Markov Random Field
Inferring Team Strengths Discrete Markov Random Field
2013/6/14
We propose an original model for inferring team strengths using a Markov Random Field, which can be used to generate historical estimates of the offensive and defensive strengths of a team over time. ...
Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units
Deep belief network restricted Boltzmann machine universal approxima-tion representational power Kullback-Leibler divergence,q-ary variable
2013/4/28
We generalize recent theoretical work on the minimal number of layers of narrow deep belief networks that can approximate any probability distribution on the states of their visible units arbitrarily ...
Respondent privacy and estimation efficiency in randomized response surveys for discrete-valued sensitive variables
Jeopardy measure numerical stigmatizing variable revealing probability
2013/4/28
In some socio-economic surveys, data are collected on sensitive or stigmatizing issues such as tax evasion, criminal conviction, drug use, etc. In such surveys, direct questioning of respondents is no...
Statistical inference for discrete-time samples from affine stochastic delay differential equations
asymptotic normality composite likelihood consistency discrete time observation of continuous-time models prediction-based estimating functions pseudo-likelihood stochastic delay differential equation
2013/4/28
Statistical inference for discrete time observations of an affine stochastic delay differential equation is considered. The main focus is on maximum pseudo-likelihood estimators, which are easy to cal...
Approximation for the Distribution of Three-dimensional Discrete Scan Statistic
Approximation for the Distribution Three-dimensional Discrete Scan Statistic
2013/4/27
We consider the discrete three dimensional scan statistics. Viewed as the maximum of an 1-dependent stationary r.v.'s sequence, we provide approximations and error bounds for the probability distribut...
Causal band-limited approximation and forecasting for discrete time processes
band-limited processes discrete time processes causal filters sampling low-pass filters forecasting.
2012/9/18
We study causal dynamic approximation of non-bandlimited discretetime processes by band-limited discrete time processes such that a part of the historical path of the underlying process is approximate...
Mixing Coefficients Between Discrete and Real Random Variables: Computation and Properties
Mixing Coefficients Between Discrete Real Random Variables Computation Properties
2012/9/17
In this paper we study the problem of estimating the mixing coefficients between two random vari-ables. Three different mixing coefficients are studied,namely alpha-mixing, beta-mixing and phi-mixing ...
The use of systems of stochastic PDEs as priors for multivariate models with discrete structures
Gaussian distribution multivariate stochastic PDEs discrete structures
2012/9/17
A challenge in multivariate problems with discrete structures is the inclusion of prior information that may di er in each separate structure. A particular example of this is seismic amplitude versus ...