User profiles for Frank de Hoog

Frank de Hoog

CSIRO Mathematics, Informatics and Stastistics
Verified email at csiro.au
Cited by 5600

An improved method for numerical inversion of Laplace transforms

FR De Hoog, JH Knight, AN Stokes - SIAM Journal on scientific and Statistical …, 1982 - SIAM
An improved procedure for numerical inversion of Laplace transforms is proposed based on
accelerating the convergence of the Fourier series obtained from the inversion integral …

Smoothing noisy data with spline functions

MF Hutchinson, FR de Hoog - Numerische Mathematik, 1985 - Springer
A procedure for calculating the trace of the influence matrix associated with a polynomial
smoothing spline of degree2m−1 fitted ton distinct, not necessarily equally spaced or uniformly …

A new algorithm for solving Toeplitz systems of equations

F de Hoog - Linear Algebra and its Applications, 1987 - Elsevier
We present some recurrences that are the basis for an algorithm to invert an n×n Toeplitz
system of linear equations with computational complexity O(nlog 2 n). The recurrences used …

The application of compressive sampling to radio astronomy-i. deconvolution

F Li, TJ Cornwell, F de Hoog - Astronomy & Astrophysics, 2011 - aanda.org
Compressive sampling is a new paradigm for sampling, based on sparseness of signals or
signal representations. It is much less restrictive than Nyquist-Shannon sampling theory and …

Improved feature distillation via projector ensemble

…, S Wang, J Liu, X Xu, F de Hoog… - Advances in Neural …, 2022 - proceedings.neurips.cc
In knowledge distillation, previous feature distillation methods mainly focus on the design of
loss functions and the selection of the distilled layers, while the effect of the feature projector …

Difference methods for boundary value problems with a singularity of the first kind

FR De Hoog, R Weiss - SIAM Journal on Numerical Analysis, 1976 - SIAM
The application of certain difference schemes (box, trapezoidal, Euler and backward Euler)
to the numerical solution of boundary value problems for nonlinear first order systems of …

Collocation methods for singular boundary value problems

FR De Hoog, R Weiss - SIAM Journal on Numerical Analysis, 1978 - SIAM
The application of collocation methods based on piecewise polynomials to the numerical
solution of boundary value problems for systems of ordinary differential equations with a …

Exploiting the connection between PLS, Lanczos methods and conjugate gradients: alternative proofs of some properties of PLS

A Phatak, F de Hoog - Journal of Chemometrics: A Journal of …, 2002 - Wiley Online Library
The connection between partial least squares regression (PLS) and Lanczos methods for
approximating the extremal eigenvalues of a symmetric matrix has long been known. Less well …

On the stability of the Bareiss and related Toeplitz factorization algorithms

AW Bojanczyk, RP Brent, FR De Hoog… - SIAM journal on Matrix …, 1995 - SIAM
This paper contains a numerical stability analysis of factorization algorithms for computing
the Cholesky decomposition of symmetric positive definite matrices of displacement rank 2. …

Orthogonal matching pursuit with thresholding and its application in compressive sensing

M Yang, F De Hoog - IEEE Transactions on Signal Processing, 2015 - ieeexplore.ieee.org
Greed is good. However, the tighter you squeeze, the less you have. In this paper, a less
greedy algorithm for sparse signal reconstruction in compressive sensing, named orthogonal …