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Proposed by Tibshirani (1996), the LASSO (least absolute shrinkage and selection operator) estimates a vector of regression coefficients by minimising the residual sum of squares subject to a constraint on the l-norm of coefficient vector. The LASSO estimator typically has one or more zero elements and thus shares characteristics of both shrinkage… (More)

- Michael R. Osborne, Gordon K. Smyth
- SIAM J. Scientific Computing
- 1995

A modification of the classical technique of Prony for fitting sums of exponential functions to data is considered. The method maximizes the likelihood for the problem (unlike the usual implementation of Prony’s method, which is not even consistent for transient signals), proves to be remarkably effective in practice, and is supported by an asymptotic… (More)

This paper addresses the development of a new algorithm for parameter estimation of ordinary differential equations. Here, we show that (1) the simultaneous approach combined with orthogonal cyclic reduction can be used to reduce the estimation problem to an optimization problem subject to a fixed number of equality constraints without the need for… (More)

- Michael R. Osborne, Gordon K. Smyth
- SIAM J. Scientific Computing
- 1991

This paper reformulates, generalizes and investigates the stability of the modified Prony algorithm introduced by Osborne (1975), with special reference to rational and exponential fitting. The algorithm, originally for exponential functions, is generalized to the least squares fitting of any function which satisfies a linear homogeneous difference… (More)

This report considers the solution of estimation problems based on the maximum likelihood principle when a xed number of equality constraints are imposed on the problem. Consistency and the asymptotic distribution of the parameter estimates as n ! 1, where n is the number of observations, are discussed, and it is shown that a suitably scaled limiting… (More)

- Christopher L. Moore, Rex Holliday, James Q. Hwang, Michael R. Osborne
- The American journal of emergency medicine
- 2008

OBJECTIVE
Abdominal aortic aneurysm (AAA) is a deadly but often clinically silent disease. Patients at increased risk are elderly men with risk factors for vascular disease who may not have adequate screening through primary care. We sought to examine the prevalence and feasibility of screening for AAA in at-risk patients presenting for unrelated complaints… (More)

- D. M. Ryan, Michael R. Osborne
- Math. Program.
- 1988

The solution of scheduling problems often gives rise to highly degenerate linear programmes which cause significant computational difficulties for the revised simplex method. Wolfe's highly effective "ad hoc" method for overcoming the cycling or stalling problems associated with degeneracy is described. Here it is given a geometric interpretation in terms… (More)

The method of scoring is developed for the particular applications that arrise in estimating systems of ordinary diierential equations. Particular attention is paid to parametrising the solution set of the diierential system in such a way that the estimation problem is well posed. It is shown that the method of scoring is very appropriate for this… (More)

- Michael R. Osborne
- Australian Computer Journal
- 1976

- Michael R. Osborne, G. Alistair Watson
- Comput. J.
- 1971