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Support Vector Machines,Kernel Logistic Regression,and Boosting.
We develop an efficient iterative water-filling algorithm to find an optimal transmit spectrum for maximum sum capacity in a Gaussian multiple access channel with vector inputs and a vector output. Th...
In a multiclass network of queues, natural sufficient conditions are given for the mean number-in-system vector to cover the nonnegative orthant as the arrival rate vector varies over the stable domai...
Discrete vector on-site vortices     Discrete vortex coupling  discrete nonlinear schrodinger equation  crystal  lattice  coupling       font style='font-size:12px;'> 2014/12/25
We study discrete vortices in coupled discrete nonlinear Schrödinger equations. We focus on the vortex cross configuration that has been experimentally observed in photorefractive crystals. Stabi...
A mean field variational Bayes approach to support vector machines (SVMs) using the latent variable representation on Polson & Scott (2012) is presented. This representation allows circumvention of ma...
Recently, an extension of independent component analysis (ICA) from one to multiple datasets, termed independent vector analysis (IVA), has been the subject of significant research interest. IVA has a...
Consider a linear regression model with n-dimensional response vector, p-dimensional regression parameter beta and independent normally distributed errors. Suppose that the parameter of interest is th...
We present a support vector machines (SVM) rationale suitable for regression and quaternary classification problems that use complex data, exploiting the notions of widely linear estimation and pure c...
An Equivalence between the Lasso and Support Vector Machines     Equivalence  the Lasso  Support Vector Machines       font style='font-size:12px;'> 2013/4/28
We investigate the relation of two fundamental tools in machine learning, that is the support vector machine (SVM) for classification, and the Lasso technique used in regression. We show that the resu...
Singular Vector Perturbation under Gaussian Noise     Singular Vector Perturbation  Gaussian Noise       font style='font-size:12px;'> 2012/9/18
We study the following problem: when a low rank matrix is perturbed by Gaus-sian noise, what is the distribution of the induced (by singular value decompostion) perturbation on its singular vectors? I...
The vector autoregressive (VAR) model has been widely used for modeling temporal de-pendence in a multivariate time series. For large (and even moderate) dimensions, the number of AR coefficients can ...
BSVM: A Banded Suport Vector Machine     BSVM  Banded Suport  Vector Machine       font style='font-size:12px;'> 2011/7/19
We describe a novel binary classification technique called Banded SVM (B-SVM). In the standard C-SVM formulation of Cortes et al. (1995), the decision rule is encouraged to lie in the interval [1, \in...
Kernels for Vector-Valued Functions: a Review     Kernels for Vector-Valued Functions: a Review       font style='font-size:12px;'> 2011/7/6
Kernel methods are among the most popular techniques in machine learning. From a frequentist/discriminative perspective they play a central role in regularization theory as they provide a natural choi...
Large Vector Auto Regressions     Time Series  Vector Auto Regression  Regularization  Lasso  Group Lasso       font style='font-size:12px;'> 2011/7/6
One popular approach for nonstructural economic and financial forecasting is to include a large number of economic and financial variables, which has been shown to lead to significant improvements for...
Abstract. We introduce vector di usion maps (VDM), a new mathematical framework for orga-nizing and analyzing massive high dimensional data sets, images and shapes. VDM is a mathematical and algorithm...

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