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Computing Bounds for the Structured Singular Value via an Interior Point Algorithm
Computing Bounds Structured Singular Value Interior Point Algorithm
2015/7/13
We describe an interior point algorithm for computing the upper bound for the structured singular value described in the paper by Fan, Tits and Doyle, IEEE Trans AC, Jan. 1991. We demonstrate the perf...
Closed-Loop Convex Formulation of Classical and Singular Value Loop Shaping
Closed-Loop Convex Formulation Classical Singular Value Loop Shaping
2015/7/13
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
MINRES-QLP: A KRYLOV SUBSPACE METHOD FOR INDEFINITE OR SINGULAR SYMMETRIC SYSTEMS
MINRES Krylov subspace method Lanczos process
2015/7/3
CG, SYMMLQ, and MINRES are Krylov subspace methods for solving symmetric
systems of linear equations. When these methods are applied to an incompatible system (that is,
a singular symmetric least-sq...
The Singular Supports of IC Sheaves on Quasimaps' Spaces are Irreducible
IC bundle Quasimaps space singular
2014/12/29
The Singular Supports of IC Sheaves on Quasimaps' Spaces are Irreducible.
Singular localization and intertwining functors for reductive Lie algebras in prime characteristic
Lie algebra semisimple algebra group Springer fiber localization module is fixed
2014/12/25
In [BMR] we observed that, on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of finite characteristic with a given (generalized) {\em ...
The Optimal Hard Threshold for Singular Values is 4/sqrt(3)
Optimal Hard Threshold Singular Values 4/sqrt(3)
2013/6/14
We consider recovery of low-rank matrices from noisy data by hard thresholding of singular values, where singular values below a prescribed threshold \lambda are set to 0. We study the asymptotic MSE ...
Singular Vector Perturbation under Gaussian Noise
Singular Vector Perturbation Gaussian Noise
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...
Jacobians of singular matrix transformations: Extensions
Jacobians Hausdorff measure real, complex, quaternion and octonion singular random ma-trices real normed division algebras.
2012/9/19
This article presents a unified approach to simultaneously compute the Jacobians of several singular matrix transformations in the real, complex, quaternion and octonion cases. Formally, these Jacobia...
An Interpretation of the Moore-Penrose Generalized Inverse of a Singular Fisher Information Matrix
Fisher Information Matrix Moore-Penrose
2011/7/19
An interpretation of the Moore-Penrose generalized inverse of a singular Fisher information matrix (FIM) is presented in this paper, from the perspective of Cramer-Rao bound (CRB). CRB is a lower boun...
A Random Matrix--Theoretic Approach to Handling Singular Covariance Estimates
Random Matrix--Theoretic Approach Handling Singular Covariance Estimates
2010/10/19
In many practical situations we would like to estimate the covariance matrix of a set of variables from an insufficient amount of data. More specifically, if we have a set of $N$ independent, identica...
Gaussian semiparametric estimation for random fields with singular spectrum
Discrete Fourier transforms random fields singular spectrum Whittle semiparametric estimates
2009/9/21
We analyze the asymptotic behaviour of the tapered
discrete Fourier transforms far random fields with singular spectrum.
The results are used to establish consistency and asymptotic normality
for s...
APPLICATION OF THE EXACT INVERSE OF THE TOEPLITZ MARTRIX WITH SINGULAR RATIONAL SYIVlB0L TO RANDOM WALKS
Toeplitz matrices rational singular symbol random walk on a finite interval
2009/9/18
In the paper we study the random walks zy=,Xi on
the interval [O, Nj c 2, where Xi are i.i.d. random variables with
characteristic function @ = (1 -cos 0) 1 f'I2 Here f is a rational function.
We ...
GENERALIZED SEPARATION THEOREMS FOR SINGULAR VALUES OF A MATRIX AND THEIR APPLICATIONS IN CANONICAL CORRELATION ANALYSIS
Canonical correlations conditional canonical correlations singular values.
2009/9/18
Rao (1979) established separation theorems for singular
values of a matrix and showed their applications in multivariate
analysis. In this paper, we provide generalized separation theorems for
sing...
Timescale effect estimation in time-series studies of air pollution and health: A Singular Spectrum Analysis approach
Airborne particulate matter PM10 Singular Spectrum Analysis - SSA Generalized additive models - GAM
2009/9/16
A wealth of epidemiological data suggests an association between mortality/morbidity from pulmonary and cardiovascular adverse events and air pollution, but uncertainty remains as to the extent implie...
On Regular and Singular Estimation for Ergodic Diffusion
Asymptotic properties maximum likelihood estimators misspecified misspecified models non identifiable model regularity conditions singular estimation problem
2009/3/5
The asymptotic properties of the maximum likelihood and bayesian estimators of finite dimensional parameters of any statistical model depend strongly on the regularity conditions. It is well-known tha...