[1] Simon Hawkins, Graham Williams, Rohan Baxter, Peter Christen, Michael Fett, Markus Hegland, Fuchun Huang, Ole M. Nielsen, Tatiana Semenova, and Andrew Smith. Data Mining of Administrative Claims Data of Pathology Services. In Proceedings of the Thirty-Fourth Hawaii International Conference on System Sciences (HICSS-34), 2001.
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[2] William Clarke and Markus Hegland. Identification and classification of interesting variable stars in the MACHO database. ANZIAM Journal, 42(E):C415-C433, 2000.
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[3] M. Hegland. A distribution independent algorithm for the reduction to tridiagonal form using one-sided rotations. In Proceedings of the IEEE First International Conference on Algorithms And Architectures for Parallel Processing, volume 1, pages 286-289, 1995.
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[4] Markus Hegland. Data mining techniques. Acta Numer., 10:313-355, 2001.
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[5] Peter Christen, Markus Hegland, Stephen Roberts, Ole M. Nielsen, T. Churches, and K. Lim. Parallel Computing Techniques for High-Performance Probabilistic Record Linkage. In Proceedings of the Symposium on Health Data Linkage, 2002.
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[6] P. Arbenz and M. Hegland. Scalable stable solvers for non-symmetric narrow-banded linear systems. In Proceedings of the Seventh Parallel Computing Workshop, Canberra, Australia, pages P2-U1 - P2-U6, 1997.
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[7] Peter Christen, Markus Hegland, Ole M. Nielsen, Stephen Roberts, Peter E. Strazdins, and Irfan Altas. Scalable Parallel Algorithms for Surface Fitting and Data Mining. Elsevier Journal of Parallel Computing, 27(7), 2001.
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[8] Robert S. Anderssen and Markus Hegland. For numerical differentiation, dimensionality can be a blessing! Math. Comp., 68(227):1121-1141, 1999.
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[9] R. Brent, A. Cleary, M. Dow, M. Hegland, J. Jenkinson, Z. Leyk, M. Nakanishi, M. Osborne, P. Price, S. Roberts, and D. Singleton. Implementation and performance of scalable scientific library subroutines on Fujitsu's VPP500 parallel-vector supercomputer. In Proceedings of the 1994 Scalable High Performance Computing Conference, 1994.
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[10] Peter Christen, Ole M. Nielsen, and Markus Hegland. DMtools - Open Source Software for Database Mining. In Workshop on Database Support for KDD, 2002. http://www.informatik.uni-freiburg.de/ ml/ecmlpkdd/WS-Proceedings/w09/index.html.
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[11] Markus Hegland. Additive sparse grid fitting. In Curve and surface fitting (Saint-Malo, 2002), Mod. Methods Math., pages 209-218. Nashboro Press, Brentwood, TN, 2003.
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[12] Markus Hegland. Block algorithms for fast Fourier transforms on vector and parallel computers. In Parallel Computing: Trends and Applications, pages 129-136. Elsevier, 1993.
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[13] S.W. Laffan and O.M. Nielsen and H. Silcock and M. Hegland. Sparse Grids: a new predictive modelling method for the analysis of geographic data. International Journal of Geographical Information Science, 19(3):267-292, 2005.
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[14] Thomas Staubli and Markus Hegland. Current meter calibration and three-dimensional displacement effects. Journal of Hydraulic Research, 20(5):453-464, 1982.
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[15] S. Bakin, M. Hegland, and M. Osborne. Can MARS be improved with B-splines? In Computational techniques and applications: CTAC97 (Adelaide), pages 75-82. World Sci. Publishing, River Edge, NJ, 1998.
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[16] Sergey Bakin, Markus Hegland, and Graham Williams. Mining taxation data with parallel BMARS. Parallel Algorithms Appl., 15(1-2):37-55, 2000. Interface of parallel computing and statistics, economics, finance and optimization.
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[17] Ole M. Nielsen, Peter Christen, Markus Hegland, Tatiana Semenova, and Timothy Hancock. A Toolbox Approach to Flexible and Efficient Data Mining. In PAKDD-2001 Conference, volume 2035 of Springer Lecture Notes in Computer Science, Artificial Intelligence series, 2001.
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[18] Markus Hegland. On the computation of breeding values. In CONPAR 90 - VAPP IV, Joint International Conference on Vector and Parallel Processing, pages 232-242, 1990.
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[19] Markus Hegland, Giles Hooker, and Stephen Roberts. Finite element thin plate splines in density estimation. In Proceedings of the 1999 International Conference on Computational Techniques and Applications (Canberra), volume 42, pages C712-C734, 2000.
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[20] Peter Arbenz and Markus Hegland. On the stable parallel solution of general narrow banded linear systems. In High performance algorithms for structured matrix problems, volume 2 of Adv. Theory Comput. Math., pages 47-73. Nova Sci. Publ., Commack, NY, 1998.
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[21] Markus Hegland and Paola Pozzi. Concentration of Measure and the Approximation of Functions of Many Variables. In M. Daehlen and K. Morken and L.L. Schumaker, editor, Mathematical Methods for Curves and Surfaces: Tromso 2004, pages 101-114. Nashboro Press, Brentwood TN, 2005. to appear.
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[22] Stephen Roberts, Markus Hegland, and Irfan Altas. Approximation of a thin plate spline smoother using continuous piecewise polynomial functions. SIAM J. Numer. Anal., 41(1):208-234 (electronic), 2003.
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[23] Peter Christen, Tim Churches, and Markus Hegland. A Parallel Open Source Data Linkage System. In Honghua Dai and Ramakrishnan Srikant and Chengqi Zhang, editor, Proceedings of the 8th PAKDD'04 (Pacific-Asia Conference on Knowledge Discovery and Data Mining), volume 3056 of Springer Lecture Notes in Artificial Intelligence (LNCS), pages 638 - 647. Springer Verlag, 2004. Available online at http://www.springeronline.com http://www.springerlink.com/app/home/contribution.asp?wasp=cbttlmlvmncytputmtfg&referrer=parent&backto=searcharticlesresults,3,4;issue,1,1;journal,342,1939;linkingpublicationresults,1:105633,1.
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[24] Markus Hegland and Michael R. Osborne. Wrap-around partitioning for block bidiagonal linear systems. IMA J. Numer. Anal., 18(3):373-383, 1998.
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[25] M. Hegland and J. T. Marti. Algorithms for the reconstruction of special Jacobi matrices from their eigenvalues. SIAM J. Matrix Anal. Appl., 10(2):219-228, 1989.
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[26] Graham Williams, Irfan Altas, Sergey Bakin, Peter Christen, Markus Hegland, Alonso Marquez, Peter Milne, Rajehndra Nagappan, and Stephen Roberts. The Integrated Delivery of Large-Scale Data Mining: The ACSYS Data Mining Project. In Springer Lecture Notes in Artificial Intelligence, volume 1759. Springer, 1999.
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[27] Markus Hegland. Computational challenges in data mining. ANZIAM Journal, 42(E):C1-C43, 2000.
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[28] Markus Hegland. Block algorithms for ffts on vector and parallel computers. In Proceedings of the Parallel Computing Conference ParCo 93, 1993.
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[29] Markus Hegland. Adaptive Sparse Grids. ANZIAM Journal, 44 (E):C335-C353, 2003.
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[30] Agnes Boskovitz, Rajeev Gore, and Markus Hegland. A Logical Formalisation of the Fellegi-Holt Method of Data Cleaning. In Michael R. Berthold, Hans-Joachim Lenz, Elizabeth Bradley, Rudolf Kruse, and Christian Borgelt, editors, IDA2003: Advances in Intelligent Data Analysis V, volume 2810 of Springer Lecture Notes in Computer Science, pages 554-565, 2003.
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[31] Markus Hegland. Block Jacobi preconditioning of the conjugate gradient method on a vector processor. Intern. J. Computer Math., 44:71-89, 1992.
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[32] Markus Hegland, William Clarke, and Margaret Kahn. Mining the MACHO dataset. Computer Physics Communications, 142(1-3):22-28, 2001.
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[33] Markus Hegland Irfan Altas and Steve Roberts. Finite element thin plate splines for surface fitting. In Computational Techniques and Applications: CTAC97, pages 289-296, 1998.
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[34] Markus Hegland, Margaret Kahn, and Michael Osborne. A parallel algorithm for the reduction to tridiagonal form for eigendecomposition. SIAM J. Sci. Comput., 21(3):987-1005 (electronic), 1999.
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[35] Markus Hegland. On the parallel solution of tridiagonal systems by wrap-around partitioning and incomplete LU factorization. Numer. Math., 59(5):453-472, 1991.
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[36] Peter Arbenz and Markus Hegland. The stable parallel solution of narrow banded linear systems. In Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing (Minneapolis, MN, 1997), page 8 pp. (electronic), Philadelphia, PA, 1997. SIAM.
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[37] Peter Christen, Irfan Altas, Markus Hegland, Stephen Roberts, Kevin Burrage, and Roger Sidje. Parallelization of a finite element surface fitting algorithm for data mining. In Proceedings of the 1999 International Conference on Computational Techniques and Applications (Canberra), volume 42, pages C385-C399, 2000.
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[38] M. Hegland and R. S. Anderssen. A mollification framework for improperly posed problems. Numer. Math., 78(4):549-575, 1998.
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[39] R.P. Brent, Z. Czezowski, M. Hegland, P.E. Strazdins, and B.B. Zhou. Linear algebra research on the ap1000. In Proceedings of the Second Parallel Computing Workshop, Kawasaki, Japan, pages P1-L1-P1-L13, 1993.
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[40] Markus Hegland, Stephen Roberts, and Irfan Altas. Finite element thin plate splines for data mining applications. In Mathematical methods for curves and surfaces, II (Lillehammer, 1997), Innov. Appl. Math., pages 245-252. Vanderbilt Univ. Press, Nashville, TN, 1998.
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[41] M. Thamban Nair, Markus Hegland, and Robert S. Anderssen. The trade-off between regularity and stability in Tikhonov regularization. Math. Comp., 66(217):193-206, 1997.
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[42] Markus Hegland. An optimal order regularization method which does not use additional smoothness assumptions. SIAM J. Numer. Anal., 29(5):1446-1461, 1992.
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[43] Bob Anderssen, Frank de Hoog, and Markus Hegland. A stable finite difference ansatz for higher order differentiation of non-exact data. Bull. Austral. Math. Soc., 58(2):223-232, 1998.
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[44] M. Hegland and M.R. Osborne. Algorithms for block bidiagonal systems on vector and parallel computers. In Proceedings of the ACM International Conference on Supercomuting 98, Melbourne, pages 1-6, 1998.
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[45] M. Hegland. Divide and conquer for the solution of banded linear systems of equations. In Proceedings of the Fourth Euromicro Workshop on Parallel and Distributed Processing, pages 394-401. IEEE Computer Society Press, 1996.
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[46] Markus Hegland. Implementing partition on vector computers. In 1991 ACM International Conference on Supercomputing, pages 304-311, 1991.
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[47] Peter Christen, Justin Xi Zhu, Markus Hegland, Stephen Roberts, Ole M. Nielsen, Tim Churches, and Kim Lim. High-Performance Computing Techniques for Record Linkage. In Proceedings of the Australian Health Outcomes Conference (AHOC-2002), 2002.
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[48] R.P. Brent, L. Grosz, D.L. Harrar, M. Hegland, M.H. Kahn, G. Keating, G.J. Mercer, O. Nielsen, M.R. Osborne, B.B. Zhou, and M. Nakanishi. On developing a mathematical subroutine library for the fujitsu VPP 300. In Proceedings of the ACM International Conference on Supercomuting 98, Melbourne, 1998.
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[49] Markus Hegland. A self-sorting in-place fast Fourier transform algorithm suitable for vector and parallel processing. Numer. Math., 68(4):507-547, 1994.
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[50] Markus Hegland and Craig Eldershaw. Cluster Analysis using Triangulation. In B.J. Noye, M.D. Teubner, and A.W. Gill, editors, Computational Techniques and Applications: CTAC-97, 1997.
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[51] Michael K. Ng, Zhexue Huang, and Markus Hegland. Data-Mining Massive Time Series Astronomical Data Sets - a Case Study. In Second Pacific-Asia Conference on Knowledge Discovery in Data Bases (PAKDD98) 1998, 1998.
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[52] Jochen Garcke, Markus Hegland, and Ole Nielsen. Parallelisation of Sparse Grids for Large Scale Data Analysis. In P.M.A. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, and Y. Gorbachev, editors, Computational Science - ICCS 2003, volume 2659 of Springer Lecture Notes in Computer Science, pages 683-692, 2003.
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[53] M. Hegland and W. W. Wheeler. Linear bijections and the fast Fourier transform. Appl. Algebra Engrg. Comm. Comput., 8(2):143-163, 1997.
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[54] Peter Arbenz, Andrew Cleary, Jack Dongarra, and Markus Hegland. A comparison of parallel solvers for diagonally dominant and general narrow-banded linear systems. Parallel and Distributed Computing Practices (PCDP), 2:385-400, 1999.
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[55] Markus Hegland, Ole M Nielsen, and Zuowei Shen. Multidimensional smoothing using hyperbolic interpolatory wavelets. Electronic Transactions on Numerical Analysis, 17:168-180, 2004.
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[56] Markus Hegland and Mike Osborne. Boundary equation methods for linear systems of equations. In Proceedings of the sixth biennial conference on Computational Techniques and Applications (CTAC93), pages 285-293, 1993.
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[57] Markus Hegland. Variable Hilbert scales and their interpolation inequalities with applications to Tikhonov regularization. Appl. Anal., 59(1-4):207-223, 1995.
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[58] M. Hegland and J. T. Marti. Numerical computation of least constants for the Sobolev inequality. Numer. Math., 48(6):607-616, 1986.
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[59] Peter Christen, Markus Hegland, Ole M. Nielsen, Stephen Roberts, and Irfan Altas. Scalable Parallel Algorithms for Predictive Modelling. In Proceedings of the Data Mining 2000 Conference, 2000.
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[60] Peter Christen, Ole M. Nielsen, Markus Hegland, and Peter E. Strazdins. Parallel Data Mining on a Beowulf Cluster. In Proceedings of the HPC Asia 2001 Conference, 2001.
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[61] Peter Christen, Irfan Altas, Markus Hegland, Stephen Roberts, Kevin Burrage, and Roger Sidje. A parallel Finite element surface fitting algorithm for data mining. In E.H. D'Hollander, J.R. Joubert, F.J. Peters, and H. Sips, editors, Parallel Computing: Fundamentals & Applications, Proceedings of the International Conference ParCo'99, 17-20 August 1999, Delft, The Netherlands, pages 275-282, 2000.
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[62] M. Hegland, S. Roberts, and I. Altas. Finite element thin plate splines for surface fitting. In Computational techniques and applications: CTAC97 (Adelaide), pages 289-296. World Sci. Publishing, River Edge, NJ, 1998.
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[63] Peter Christen, Markus Hegland, Ole M. Nielsen, Stephen Roberts, Peter E. Strazdins, Irfan Altas, Tatiana Semenova, and Timothy Hancock. Towards a Parallel Data Mining Toolbox. In Proceedings of the 15th International Parallel and Distributed Processing Symposium IPDPS-2001. IEEE, 2001.
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[64] M. Hegland, I. McIntosh, and B.A. Turlach. A parallel solver for generalised additive models. Computational Statistics & Data Analysis, 31(4):377-396, 1999.
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[65] M. Hegland, M. R. Osborne, and J. Sun. Parallel interior point schemes for solving multistage convex programming. Ann. Oper. Res., 108:75-85 (2002), 2001. Operations research and constraint programming in the Asia Pacific region.
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[66] Markus Hegland. An implementation of multiple and multivariate Fourier transforms on vector processors. SIAM J. Sci. Comput., 16(2):271-288, 1995.
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[67] Markus Hegland. On some block algorithms for fast Fourier transforms. In Proceedings of the sixth biennial conference on Computational Techniques and Applications (CTAC93), pages 276-284, 1993.
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[68] Sergey Bakin, Markus Hegland, and Michael R. Osborne. Parallel MARS algorithm based on B-splines. Comput. Statist., 15(4):463-484, 2000.
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[69] C. R. Dun, M. Hegland, and M. R. Osborne. Parallel stable solution methods for tridiagonal linear systems of equations. In Computational techniques and applications: CTAC95 (Melbourne, 1995), pages 267-274. World Sci. Publishing, River Edge, NJ, 1996.
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[70] Ole M. Nielsen and Markus Hegland. Parallel Performance of Fast Wavelet Transforms. International Journal of High Speed Computing, 11(1):55-74, 2000.
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[71] Markus Hegland and Vladimir Pestov. Additive models in high dimensions. In Rob May and A. J. Roberts, editors, Proc. of 12th Computational Techniques and Applications Conference, CTAC-2004, volume 46 of ANZIAM J., pages C1205-C1221, November 2005. http://anziamj.austms.org.au/V46/CTAC2004/Hegl [November 14, 2005].
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Keywords: additive models, high dimensions

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