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Fast Algorithms for Signal Reconstruction without Phase
Frames mutually unbiased bases equiangular frames projective 2-designs discrete chirps
2015/9/29
We derive fast algorithms for doing signal reconstruction without phase. This type of problem is important insignal processing, especially speech recognition technology, and has relevance for state to...
Algorithms for Representation Theory of Real Reductive Groups
Representation Theory Real Reductive Groups
2015/9/28
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
Universality in Polytope Phase Transitions and Message Passing Algorithms
Nonlinear mapping symmetric random matrix spin glass theory approximate messaging algorithm
2015/8/21
We consider a class of nonlinear mappings FA;N in RN indexed by symmetric random matrices A 2 RNN with independent entries. Within spin glass theory, special cases of these mappings correspond to ite...
NEW MULTICATEGORY BOOSTING ALGORITHMS BASED ON MULTICATEGORY FISHER-CONSISTENT LOSSES
MULTICATEGORY BOOSTING ALGORITHMS MULTICATEGORY FISHER-CONSISTENT LOSSES
2015/8/21
Fisher-consistent loss functions play a fundamental role in the construction of successful binary margin-based classifiers. In this paper we establish the Fisher-consistency condition for multicategor...
BOOSTING ALGORITHMS:REGULARIZATION,PREDICTION AND MODEL FITTING
Generalized linear models Generalized additive models Gradient boosting Survival analysis Variable selection Software
2015/8/21
We present a statistical perspective on boosting. Special emphasis is given to estimating potentially complex parametric or nonparametric models, including generalized linear and additive models as we...
Comment:Boosting Algorithms:Regularization,Prediction and Model Fitting
Boosting Algorithms Regularization Prediction Model Fitting
2015/8/21
We congratulate the authors (hereafter BH) for an interesting take on the boosting technology, and for developing a modular computational environment in R for exploring their models. Their use of low-...
Spectral Regularization Algorithms for Learning Large Incomplete Matrices
collaborative filtering nuclear norm spectral regularization netflix prize large scale convex optimization
2015/8/21
We use convex relaxation techniques to provide a sequence of regularized low-rank solutions for large-scale matrix completion problems. Using the nuclear norm as a regularizer, we provide a simple and...
Proximal algorithms
Proximal algorithm optimization algorithm the standard tools smooth moderate scale high dimensional data set
2015/8/7
This monograph is about a class of optimization algorithms called proximal algorithms. Much like Newton's method is a standard tool for solving unconstrained smooth optimization problems of modest siz...
Fast Algorithms for Boundary Integral Equations
Boundary integral equations Laplace equation Helmholtz equation fast algorithms fast multipole method hierarchical matrices wavelets multiscale methods multidirectional methods
2015/7/15
This article reviews several fast algorithms for boundary integral equations. After a brief introduction of the boundary integral equations for the Laplace and Helmholtz equations, we discuss in order...
FAST DIRECTIONAL MULTILEVEL ALGORITHMS FOR OSCILLATORY KERNELS
N-body problems scattering problems Helmholtz equation oscillatory kernels fast multipole methods separated representations random sampling operator compression multidirectional computation multiscale methods
2015/7/14
This paper introduces a new directional multilevel algorithm for solving N-body orN-point problems with highly oscillatory kernels. These systems often result from the boundary integral formulations o...
Fast directional algorithms for the Helmholtz kernel
N-body problems Scattering problems Helmholtz equation Oscillatory kernels Fast multipole methods Separated representations Random sampling Operator compression Multidirectional computation Multiscale methods
2015/7/14
This paper presents a new directional multilevel algorithm for solving N-body or N-point problems with highly oscillatory kernels. We address the problem by first proving that the interaction between ...
ALGEBRAIC ALGORITHMS FOR SAMPLING FROM CONDITIONAL DISTRIBUTIONS
Structure markov chain algorithm the discrete sampling statistical index family conditions spectral analysis data
2015/7/14
We construct Markov chain algorithms for sampling from discrete
exponential families conditional on a sufticient statistic. Examples include
contingency tables, logistic regression, and spectral a...
Analysis of Systematic Scan Metropolis Algorithms Using Iwahori–Hecke Algebra Techniques
Analysis system scanning the metropolis algorithm Iwahori - Hecke algebraic techniques
2015/7/14
Analysis of Systematic Scan Metropolis Algorithms Using Iwahori–Hecke Algebra Techniques。
On characterizations of Metropolis type algorithms in continuous time
Metropolitan type algorithm personality traits
2015/7/7
On characterizations of Metropolis type algorithms in continuous time。
Gibbs/Metropolis algorithms on a convex polytope
Gibbs metropolis convex polyhedron the algorithm
2015/7/7
Gibbs/Metropolis algorithms on a convex polytope。