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Multivariate Regression Shrinkage and Selection by Canonical Correlation Analysis
Adaptive Lasso Canonical Correlation Analysis Multivariate Regression Selection Consistency
2016/1/20
The problem of regression shrinkage and selection for multivariate regression is considered. The goal is to consistently identify those variables relevant for regression. This is done not only for pre...
TIME-FREQUENCY AND TIME-SCALE CANONICAL REPRESENTATIONS OF DOUBLY SPREAD CHANNELS
TIME-FREQUENCY TIME-SCALE CANONICAL REPRESENTATIONS DOUBLY SPREAD CHANNELS
2015/9/29
A general technique for the generation of canonical channel models and demonstrate the application of the technique to time-frequency and time-scale integral kernel operators is developed. As an examp...
We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
CANONICAL CHARACTERS ON QUASI-SYMMETRIC FUNCTIONS AND BIVARIATE CATALAN NUMBERS
Hopf algebra character quasi-symmetric function central binomial coefficient
2015/8/14
Every character on a graded connected Hopf algebra decomposes uniquely as
a product of an even character and an odd character [2]. We obtain explicit formulas for
the even and odd parts of the unive...
HIGHER-LEVEL CANONICAL SUBGROUPS IN ABELIAN VARIETIES
ABELIAN VARIETIES CANONICAL SUBGROUPS
2015/7/6
An abeloid space over a rigid space S over a non-archimedean field k is a proper
smooth S-group A → S with connected fibers. Relative ampleness (in the sense of [C3]) gives a good notion
...
Generalized Canonical Correlation Analysis for Disparate Data Fusion
Manifold matching canonical correlation analysis reduced rank regression efficiency,classification
2012/11/22
Manifold matching works to identify embeddings of multiple disparate data spaces into the same low-dimensional space, where joint inference can be pursued. It is an enabling methodology for fusion and...
Riemann-Hilbert Problems with canonical normalization and families of commuting operators
Riemann-Hilbert Problems commuting operators integrable 3-wave interactions
2012/4/26
We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on several additional variables. Using Zakharov-Shabat theorem we are able to construct a fam...
Reducing scattering problems under cone potentials to normal form by global canonical transformations
scattering problems cone normal form global canonical transformations Exactly Solvable and Integrable Systems
2012/4/26
We introduce a class of Hamiltonian scattering systems which can be reduced to the "normal form" $\dot P=0$, $\dot Q=P$, by means of a global canonical transformation $ (P,Q)=A(p,q), p,q\in R^n$, defi...
A note on Canonical Ricci forms on 2-step nilmanifolds
note Canonical Ricci forms 2-step nilmanifolds
2012/2/29
In this note we prove that any left-invariant almost Hermitian structure on a 2-step nilmanifold is Ricci-flat with respect to the Chern connection and that it is Ricci -flat with respect to another c...
A canonical form for Gaussian periodic processes
gaussian processes Karhunen-Loeve's theorem periodic processes stationary processes
2012/2/29
This article provides a representation theorem for a set of Gaussian processes; this theorem allows to build Gaussian processes with arbitrary regularity and to write them as limit of random trigonome...
Lower boundary hyperplanes of the canonical left cells in the affine Weyl group Wa（An-1）
affine Weyl groups left cells hyperplanes
2011/9/28
Let F be any canonical left cell of the affine Weyl group Wa of type A. We describe the lower boundary hyperplanes for F, which answer two questions of Humphreys.
Canonical Factorization of cyclotomic polynomials
algebra finite fields order of an integer cyclotomic polynomials factorization
2011/9/25
In this article, we studied the order of an integer q modulo integer m, and then studied the factorization of the mth cyclotomic polynomial over a field K. We discussed the order of q modulo m by the ...
On a canonical class of Green currents for the unit sections of abelian schemes
unit sections of abelian schemes canonical class of Green currents Algebraic Geometry
2011/9/22
Abstract: We show that on any abelian scheme over a complex quasi-projective smooth variety, there is a Green current for the zero-section, which is axiomatically determined up to $\partial$ and $\bar...
The canonical ring of a 3-connected curve
algebraic curve Noether’s theorem canonical ring
2011/9/22
Abstract: Let C be a Gorenstein curve which is either reduced or contained in a smooth algebraic surface. We show that the canonical ring R(C, \omega_C)=\oplus_{k \geq 0} H^0(C, \omega_C^k) is generat...
Canonical dual theory applied to a Lennard-Jones potential minimization problem
Mathematical Canonical Duality Theory Mathematical Optimization Lennard-Jones Potential Minimization Problem Global Optimization
2011/9/21
Abstract: The simplified Lennard-Jones (LJ) potential minimization problem is $f(x)=4\sum_{i=1}^N \sum_{j=1,jac{1}{\tau_{ij}^6} -\frac{1}{\tau_{ij}^3}) {subject to} x\in \mathbb{R}^n,$ where...