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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.
A Note on the Symplectic Structure on the Space of G-Monopoles
G - Monopoles space structure
2014/12/29
A Note on the Symplectic Structure on the Space of G-Monopoles.
A note on a symplectic structure on the space of G-monopoles
Complex semisimple borel subgroups projection line topological charge mode space nature and space
2014/12/29
Let G be a semisimple complex Lie group with a Borel subgroup B. Let X=G/B be the flag manifold of G. Let C=\PP1 ' ￥Unknown control sequence '\PP' be the projective line. Let a Î H2(\bX,\Bbb Z)Un...
Coupling fields and underlying space curvature: An augmented Lagrangian approach
Coupling scalar field space field feedback system model molecular dynamics
2014/12/29
We demonstrate a systematic implementation of coupling between a scalar field and the geometry of the space which carries the field. This naturally gives rise to a feedback mechanism between the field...
Transversals to Line Segments in Three-Dimensional Space
Structural section an infinity line transmission cross section form
2014/12/29
We completely describe the structure of the connected components of transversals to a collection of n line segments in R3. We show that n > 3 arbitrary line segments in R3 admit 0, 1, . . . , n or inf...
Geometry of the tetrahedron space
Mark smooth space
2014/12/25
Let X be the space of all labeled tetrahedra in . In [E. Babson, P.E. Gunnells, R. Scott, A smooth space of tetrahedra, Adv. Math. 165(2) (2002) 285–312] we constructed a smooth symmetric compactifica...
Fourier analysis of stationary time series in function space
Cumulants discrete Fourier transform functional data analy-sis functional time series periodogram operator spectral density operator weak depen-dence
2013/6/14
We develop the basic building blocks of a frequency domain framework for drawing statistical inferences on the second-order structure of a stationary sequence of functional data. The key element in su...
Space-filling Latin Hypercube Designs based on Randomization Restrictions in Factorial Experiments
Computer experiments Nearly orthogonal arrays Spreads Stars
2013/6/13
Latin hypercube designs (LHDs) with space-filling properties are widely used for emulating computer simulators. Over the last three decades, a wide spectrum of LHDs have been proposed with space-filli...
MCMC for non-linear state space models using ensembles of latent sequences
MCMC non-linear state space models ensembles latent sequences
2013/6/13
Non-linear state space models are a widely-used class of models for biological, economic, and physical processes. Fitting these models to observed data is a difficult inference problem that has no str...
On a class of space-time intrinsic random functions
Fox’sH-function generalized covariance function Mat′ern covariance function
2013/4/28
Power law generalized covariance functions provide a simple model for describing the local behavior of an isotropic random field. This work seeks to extend this class of covariance functions to spatia...
Propagation of initial errors on the parameters for linear and Gaussian state space models
Kalman filter Extended Kalman filter State space mod-els Autoregressive process
2013/4/27
For linear and Gaussian state space models parametrized by $\theta_0 \in \Theta \subset \R^{r}, r \geq 1$ corresponding to the vector of parameters of the model, the Kalman filter gives exactly the so...
A Sub-Space Method to Detect Multiple Wireless Microphone Signals in TV Band White Space
White Space Signals in TV A Sub-Space Method to Detect Multiple
2011/3/25
The main hurdle in the realization of dynamic spectrum access (DSA) systems from physical layer perspective is the reliable sensing of low power licensed users. One such scenario shows up in the unlic...
A convex model for non-negative matrix factorization and dimensionality reduction on physical space
Non-negative matrix factorization dictionary learning subset selection dimensionality reduction hyperspec-tral endmember detection blind source separation
2011/3/18
A collaborative convex framework for factoring a data matrix $X$ into a non-negative product $AS$, with a sparse coefficient matrix $S$, is proposed. We restrict the columns of the dictionary matrix $...
On some problems in the article “Efficient Likelihood Estimation in State Space Models” by Cheng-Der Fuh
problems Efficient Likelihood Estimation State Space Models
2010/3/11
Upon reading the paper Efficient Likelihood Estimation
in State Space Models by Cheng-Der Fuh I found a number of problems in the
formulations and a number of mathematical errors. Together, these fi...
On boundedness and convergence of some Banach space valued random series
boundedness convergence some Banach space random series
2009/9/24
On boundedness and convergence of some Banach space valued random series。