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Publications: Lukas, Mark

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Number of items: 20.

Journal Article

Lukas, M.A. (2014) Performance criteria and discrimination of extreme undersmoothing in nonparametric regression. Journal of Statistical Planning and Inference, 153 . pp. 56-74.

Lukas, M.A., de Hoog, F.R. and Anderssen, R.S. (2012) Performance of robust GCV and modified GCV for spline smoothing. Scandinavian Journal of Statistics, 39 (1). pp. 97-115.

Bauer, F. and Lukas, M.A. (2011) Comparing parameter choice methods for regularization of ill-posed problems. Mathematics and Computers in Simulation, 81 (9). pp. 1795-1841.

de Hoog, F.R., Anderssen, R.S. and Lukas, M.A. (2011) Differentiation of matrix functionals using triangular factorization. Mathematics of Computation, 80 (275). p. 1585.

Lukas, M.A., de Hoog, F.R. and Anderssen, R.S. (2010) Efficient algorithms for robust generalized cross-validation spline smoothing. Journal of Computational and Applied Mathematics, 235 (1). pp. 102-107.

Lukas, M.A. (2010) Robust GCV choice of the regularization parameter for correlated data. The Journal of integral equations and applications , 22 (3). pp. 519-547.

Lukas, M.A. (2008) Strong robust generalized cross-validation for choosing the regularization parameter. Inverse Problems, 24 (3).

Lukas, M.A. and Shi, M. (2006) Sensitivity analysis of constrained linear L1 regression: Perturbations to constraints, addition and deletion of observations. Computational Statistics and Data Analysis, 51 (2). pp. 1213-1231.

Lukas, M.A. (2006) Robust generalized cross-validation for choosing the regularization parameter. Inverse Problems, 22 (5). pp. 1883-1902.

Shi, M. and Lukas, M.A. (2005) Sensitivity analysis of constrained linear L1 regression: perturbations to response and predictor variables. Computational Statistics & Data Analysis, 48 (4). pp. 779-802.

Shi, M. and Lukas, M.A. (2002) An L1 estimation algorithm with degeneracy and linear constraints. Computational Statistics & Data Analysis, 39 (1). pp. 35-55.

Abo-Hashema, K.A.H., Cake, M.H., Lukas, M.A. and Knudsen, J. (2001) The interaction of acyl-CoA with acyl-CoA binding protein and carnitine palmitoyltransferase I. The International Journal of Biochemistry & Cell Biology, 33 (8). pp. 807-815.

Lukas, M.A. (1999) Comparisons of parameter choice methods for regularization with discrete noisy data. Inverse Problems, 14 (1). pp. 161-184.

Abo-Hashema, K.A.H., Cake, M.H., Lukas, M.A. and Knudsen, J. (1999) Evaluation of the affinity and turnover number of both hepatic mitochondrial and microsomal carnitine acyltransferases: Relevance to intracellular partitioning of acyl-CoAs. Biochemistry, 38 (48). pp. 15840-15847.

Lukas, M.A. (1998) Asymptotic behaviour of the minimum bound method for choosing the regularization parameter. Inverse Problems, 14 (1). pp. 149-159.

Lukas, M.A. (1993) Asymptotic optimality of generalized cross-validation for choosing the regularization parameter. Numerische Mathematik, 66 (1). pp. 41-66.

Conference Item

Lukas, M.A., de Hoog, F.R. and Anderssen, R.S. (2010) Spline smoothing using robust generalized cross-validation. In: ASC 2010 Australian Statistical Conference Statistics in the West: Understanding our World., 6 - 10 December, Fremantle, Western Australia.

Shi, M. and Lukas, M.A. (2005) L1 optimization for robust signal processing. In: 18th National Conference of the Australian Society for Operations Research (ASOR) & 11th Australian Optimisation Day, 26 - 28 September, Perth, Western Australia.

Report

Königsberger, E., Murray, K., Magalhães, C., Tromans, A., Bevis, S., Lukas, M., Hefter, G. and May, P.M. (2002) Prediction and measurement of the physicochemical properties of Bayer liquors. AMIRA Final Report, Project P507A, Perth, Western Australia.

Königsberger, E., Murray, K., Magalhães, C., Tromans, A., Bevis, S., Lukas, M., Hefter, G. and May, P.M. (2001) Prediction and measurement of the physicochemical properties of Bayer liquors. AMIRA Annual Report, Project P507A, Perth, Western Australia.

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