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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...
A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis
Canonical correlation analysis DNA copy number Integrative genomic analysis L1 Matrix decomposition Principal component analysis Sparse principal component analysis SVD.
2015/8/21
We present a penalized matrix decomposition (PMD), a new framework for computing a rank-K approximation for a matrix. We approximate the matrix X as X ˆ = k K=1 dkukvk T , where dk, uk, and vk m...
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
...
TRAF-interacting protein, an inhibitor of the canonical nuclear factor-kappaB pathway, plays a key role in the estradiol -dependent apoptosis of the dual-phenotype gamma amino butyric acid/glutamate neurons in the anteroventral periventricular nucleus of the male rat
Mediated estradiol LH surge neurons male AVPV E2 - mediated cell death neurons
2014/12/11
The anteroventral periventricular nucleus (AVPV) of the preoptic area mediates the positive feedback effects of estradiol (E2) on LH surge in rats. Consistent with their role in female reproduction, t...
NON-CANONICAL NOTCH SIGNALING REGULATES ACTIVATION AND DIFFERENTIATION OF PERIPHERAL CD4+ T CELLS
Notch non-canonical T cell NF-kB mTOR activation differentiation cross-talk
2014/12/10
Cleavage of the Notch receptor via a γ-secretase, results in the release of the active intra-cellular domain of Notch that migrates to the nucleus and interacts with RBP-JΚ, resulting in the activatio...
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...
A Top-Down Account of Linear Canonical Transforms
linear transforms canonical transforms Lie group Sp(2 R) Mathematical Physics
2012/6/21
We contend that what are called Linear Canonical Transforms (LCTs) should be seen as a part of the theory of unitary irreducible representations of the '2+1' Lorentz group. The integral kernel represe...
Canonical (and non-canonical) Transformations: A Differential Approach
Canonical (and non-canonical) Transformations Differential Approach Accelerator Physics
2012/5/31
The traditional method of teaching canonical transformations involves the introduction of generating functions of various types. This method obscures the underlying structure of the Hamiltonian least-...
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...