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A GENERAL THEORY FOR ORTHOGONAL ARRAY BASED LATIN HYPERCUBE DESIGNS
Functional decomposition Latin hypercube design orthog- onal array statistical property
2016/1/26
Orthogonal array based Latin hypercube designs (LHDs) are popularly adopted for computer experiments. Because of their stratification on multivariate margins in addition to univariate uniformity, the ...
This paper discusses some of the merits of the strong approximation ideas in developing diffusion approximations for queueing systems. Letting ρ be the utilization of the server, it is well known that...
Isometric immersions of space forms and soliton theory
Isometric immersed space form the soliton theory
2014/12/29
Isometric immersions of space forms and soliton theory.
Asymptotic Hodge theory and quantum products
Convergence properties the dollar polarization hodge structure quantum potential
2014/12/29
Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold $X$ one may construct a polarized variation of Hodge structure over the complexified K\"ahler cone of ...
Geometric representation theory of restricted lie algebras
Map building lie algebra and classical lie algebras tectonic change lines etc
2014/12/29
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted rep...
Spontaneous symmetry breaking in photonic lattices: Theory and experiment
Symmetry broken double - well waveguide symmetric potential galerkin truncation photonic crystal lattice
2014/12/29
We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmetric. The effect is i...
Equivariant homology and K-theory of affine Grassmannians and Toda lattices
Theory of algebra $K $K commutative ring structure
2014/12/25
For an almost simple complex algebraic group G with affine Grassmannian $\text{Gr}_G=G(\mathbb{C}(({\rm t})))/G(\mathbb{C}[[{\rm t}]])$, we consider the equivariant homology $H^{G(\mathbb{C}[[{\rm t}]...
Nonlinearity Management in Optics: Experiment, Theory, and Simulation
Kerr nonlinear femtosecond pulse optical glass air
2014/12/25
We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagation properties over ...
Modulational Instability in a Layered Kerr Medium: Theory and Experiment
The coupling instability material properties the theory of linear coupling
2014/12/25
We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating...
Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms
Dynamic soliton atomic scattering length nonlinear dynamic
2014/12/24
We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using th...
EXTERIOR POWERS OF THE REFLECTION REPRESENTATION IN SPRINGER THEORY
Power reflection fiber nilpotent green's function
2014/12/24
We give a proof of a conjecture of Lehrer and Shoji regarding the occurrences of the exterior powers of the reflection representation in the cohomology of Springer fibers. The actual theorem proved is...
Regularized M-estimators with nonconvexity: Statistical and algorithmic theory for local optima
Regularized M-estimators nonconvexity Statistical algorithmic theory local optima
2013/6/14
We establish theoretical results concerning all local optima of various regularized M-estimators, where both loss and penalty functions are allowed to be nonconvex. Our results show that as long as th...
Computational information geometry: theory and practice
Information geometry Multinomial distribution Affne geometry Exponential family Extended exponential family
2012/11/22
This paper lays the foundations for a unified framework for numerically and computationally applying methods drawn from a range of currently distinct geometrical approaches to statistical modelling. I...
An estimator for the quadratic covariation of asynchronously observed Itô processes with noise: Asymptotic distribution theory
Density estimation Kullback–Leibler divergence
2011/7/6
The article is devoted to the nonparametric estimation of the quadratic covariation of non-synchronously observed It\^o processes in an additive microstructure noise model.
Information Theory and Statistical Mechanics Revisited
predictive statistical mechanics maximum entropy likelihood probability information entropy
2011/6/21
The statistical mechanics of Gibbs is a juxtaposition of subjective, probabilistic ideas on the one
hand and objective, mechanical ideas on the other. From the mechanics point of view, the term ‘stat...