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Ground-state properties of small-size nonlinear dynamical lattices
Particles nonlinear lattice discrete nonlinear schrodinger equation nonlinear optical wave condensate
2014/12/25
We investigate the ground state of a system of interacting particles in small nonlinear lattices with M⩾3 sites, using as a prototypical example the discrete nonlinear Schrödinger equation...
The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions
Two-dimensional nonlinear model of discretization solitary wave
2014/12/24
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schr¨odinger (NLS) model. We use singularity confinement techniques to sug...
Algebraic Properties of a Family of Generalized Laguerre Polynomials
Generalized laguerre polynomials algebraic properties negative integral value parameter
2014/12/24
We study the algebraic properties of Generalized Laguerre Polynomials for negative integral values of the parameter. For integers r,n≥0 , we conjecture that L(−1−n−r)n(x)=∑nj=0(nW...
Regularity Properties of High-dimensional Covariate Matrices
high-dimensional regression instrumental variables sparse estimation compressed sensing random matrix re-stricted eigenvalue compatibility,ℓ q sensitivity computational complex-ity NP-hardness
2013/6/14
Regularity properties such as the incoherence condition, the restricted isometry property, compatibility, restricted eigenvalue and $\ell_q$ sensitivity of covariate matrices play a pivotal role in hi...
Approximation properties of certain operator-induced norms on Hilbert spaces
L2 approximation Empirical norm Quadratic functionals Hilbert spaces with reproducing kernels Analysis of M-estimators
2011/6/20
We consider a class of operator-induced norms, acting as finite-dimensional
surrogates to the L2 norm, and study their approximation properties over
Hilbert subspaces of L2. The class includes, as a...
On statistical properties of sets fulfilling rolling-type conditions
r-convexity positive reach rolling condition Glivenko-Cantelli classes set estimation boundary length excess mass
2011/6/20
Motivated by set estimation problems, we consider three closely related shape conditions
for compact sets: positive reach, r-convexity and rolling condition. First, the
relations between these shape...
Properties of semi-elementary imsets as sums of elementary imsets
Markov basis semi-graphoid toric ideal
2011/6/20
We study properties of semi-elementary imsets and elementary imsets introduced by
Studen´y [10]. The rules of the semi-graphoid axiom (decomposition, weak union and contraction)
for conditiona...
Asymptotic properties of maximum likelihood estimators in models with multiple change points
change-point fraction common parameter consistency convergence rate Kullback–Leibler distance within-segment parameter
2011/3/24
Models with multiple change points are used in many fields; however, the theoretical properties of maximum likelihood estimators of such models have received relatively little attention. The goal of t...
Properties of neutrality tests based on allele frequency spectrum
Coalescent theory Site frequency spectrum Population genetics Statistical power Summary statistics
2010/11/9
One of the main necessities for population geneticists is the availability of statistical tools that enable to accept or reject the neutral Wright-Fisher model with high power.
A Bregman Extension of quasi-Newton updates II: Convergence and Robustness Properties
A Bregman Extension quasi-Newton updates II Convergence Robustness Properties
2010/10/19
We propose an extension of quasi-Newton methods, and investigate the convergence and the robustness properties of the proposed update formulae for the approximate Hessian matrix. Fletcher has studied ...
Exact properties of Efron's biased coin randomization procedure
Accidental bias exact distribution theory randomization test
2010/10/14
Efron [Biometrika 58 (1971) 403--417] developed a restricted randomization procedure to promote balance between two treatment groups in a sequential clinical trial. He called this the biased coin des...
Thermodynamic properties of finite binary strings
Thermodynamic properties finite binary strings
2010/3/9
Thermodynamic properties such as temperature, pressure, and internal
energy have been defined for finite binary strings from equilibrium distribution
of a chosen computable measure. It is demonstrat...
Optimal properties of centroid-based classifiers for very high-dimensional data
Centroid method classification discrimination distance-basedclassifiers high-dimensional data location differences minimax performance
2010/3/11
We show that scale-adjusted versions of the centroid-based classi-
fier enjoys optimal properties when used to discriminate between two
very high-dimensional populations where the principal differen...
Minimax properties of beta kernel density estimators
Beta Kernel Density Minimax estimation
2010/3/9
In this paper, we are interested in the study of beta kernel estimators from
an asymptotic minimax point of view. It is well known that beta kernel estimators
are—on the contrary of classical kernel...
Asymptotic efficiency and finite-sample properties of the generalized profiling estimation of parameters in ordinary differential equations
Ordinary differential equations parameters estimation profiling procedure consistency asymptotic normality
2010/3/18
Ordinary differential equations (ODEs) are commonly used to
model dynamic behavior of a system. Because many parameters are
unknown and have to be estimated from the observed data, there
is growing...
