Research/Scholarly/Creative Works

Journal Articles

• Burachik RS., Kaya CY. and Price CJ. (2022) A primal–dual penalty method via rounded weighted-ℓ1 Lagrangian duality. Optimization 71(13): 3981-4017. http://dx.doi.org/10.1080/02331934.2021.1934680.

• Price CJ. (2022) Direct search nonsmooth constrained optimization via rounded ℓ1 penalty functions. Optimization Methods and Software 37(1): 241-263. http://dx.doi.org/10.1080/10556788.2020.1746961.

• Price C., Reale M. and Robertson B. (2021) OSCARS-II: an algorithm for bound constrained global optimization. Journal of Global Optimization 79: 39-57. http://dx.doi.org/10.1007/s10898-020-00928-6.

• Robertson BL., Reale M., Price CJ. and Brown JA. (2021) Quasi-random ranked set sampling. Statistics and Probability Letters 171 http://dx.doi.org/10.1016/j.spl.2020.109029.

• Price C. (2020) A modified Nelder-Mead barrier method for constrained optimisation.. Numerical Algebra, Control and Optimization http://dx.doi.org/10.3934/naco.2020058.

• Wickramarachchi DC., Robertson BL., Reale M., Price CJ. and Brown JA. (2019) A reflected feature space for CART. Australian and New Zealand Journal of Statistics 61(3): 380-391. http://dx.doi.org/10.1111/anzs.12275.

• Robertson BL., McDonald T., Price C. and Brown J. (2018) Halton iterative partitioning: spatially balanced sampling via partitioning. Environmental and Ecological Statistics 25(3): 305-323. http://dx.doi.org/10.1007/s10651-018-0406-6.

• Price CJ. (2017) A direct search quasi-Newton method for nonsmooth unconstrained optimisation. The ANZIAM Journal. 59(2): 215-231. http://dx.doi.org/10.1017/S1446181117000323.

• Robertson BL., McDonald T., Price CJ. and Brown JA. (2017) A modification of balanced acceptance sampling. Statistics & Probability Letters : 107-112. http://dx.doi.org/10.1016/j.spl.2017.05.004.

• Price CJ., Reale M. and Robertson BL. (2016) Stochastic filter methods for generally constrained global optimization. Journal of Global Optimization 65(3): 441-456. http://dx.doi.org/10.1007/s10898-015-0388-y.

• Rea W., Price C., Oxley L., Reale M. and Brown J. (2016) A new procedure to test for fractional integration. Open Journal of Statistics 6(4): 651-666. http://dx.doi.org/10.4236/ojs.2016.64055.

• Treskatis T., Moyers-González MA. and Price CJ. (2016) An accelerated dual proximal gradient method for applications in viscoplasticity. Journal of Non-Newtonian Fluid Mechanics 238: 115-130. http://dx.doi.org/10.1016/j.jnnfm.2016.09.004.

• Wickramarachchia DC., Robertson BL., Reale M., Price CJ. and Brown J. (2016) HHCART: An oblique decision tree. Computational Statistics & Data Analysis 96: 12-23. http://dx.doi.org/10.1016/j.csda.2015.11.006.

• Price CJ., Reale M. and Robertson BL. (2014) One side cut accelerated random search. Optimization Letters 8(3): 1137-1148. http://dx.doi.org/10.1007/s11590-013-0631-8.

• Robertson BL., Price CJ. and Reale M. (2013) A CartOpt method for bound-constrained global optimization. ANZIAM Journal 55(2): 109-128. http://dx.doi.org/10.1017/S1446181113000412.

• Robertson BL., Price CJ. and Reale M. (2013) CARTopt: a random search method for nonsmooth unconstrained optimization. Computational Optimization and Applications 56(2): 291-315. http://dx.doi.org/10.1007/s10589-013-9560-9.

• Thomson., F A., Hameiri., Z., Grant., E N., Price., J C., Di. and Y. (2013) Uncertainty in photoconductance measurements of the emitter saturation current. IEEE Journal of Photovoltaics 3(4): 1200-1207. http://dx.doi.org/10.1109/JPHOTOV.2013.2270346.

• Price CJ., Reale M. and Robertson BL. (2012) A cover partitioning method for bound constrained global optimization. Optimization Methods and Software 27(6): 1059-1072. http://dx.doi.org/10.1080/10556788.2011.557726.

• Price CP. and Price CJ. (2012) Recycling primes in Halton sequences: an optimization perspective. Advanced Modeling and Optimization 14(1): 17-29.

• Robertson BL., Price CJ. and Reale M. (2011) A Hooke and Jeeves - CARTopt hybrid method for nonsmooth optimization. Advanced Modeling and Optimization 13(3): 381-401.

• Bradley BA., Lee DS., Broughton R. and Price C. (2009) Efficient evaluation of performance-based earthquake engineering equations. Structural Safety 31(1): 65-74. http://dx.doi.org/10.1016/j.strusafe.2008.03.003.

• Price CJ., Robertson BL. and Reale M. (2009) A hybrid Hooke and Jeeves - Direct method for non-smooth optimization. Advanced Modeling and Optimization 11(1): 43-61.

• Price CJ., Reale M. and Robertson BL. (2008) A direct search method for smooth and nonsmooth unconstrained optimization. ANZIAM Journal 48: C927-C948.

• Price CJ. and Toint PHL. (2006) Exploiting problem structure in pattern search methods for unconstrained optimization. Optimization Methods and Software 21(3): 479-491.

• Byatt D., Coope ID. and Price CJ. (2004) Conjugate Grids for Unconstrained Optimisation. Computational Optimization and Applications 29(1): 49-68.

• Byatt D., Coope ID. and Price CJ. (2004) Performance of various BFGS implementations with limited precision second-order information. ANZIAM Journal 45(4): 511-522.

• Coope ID. and Price CJ. (2004) A direct search frame-based conjugate gradients method. Journal of Computational Mathematics 22(4): 489-500.

• Dennis JE., Price CJ. and Coope ID. (2004) Direct Search Methods for Nonlinearly Constrained Optimization Using Filters and Frames. Optimization and Engineering 5(2): 123-144.

• Price CJ. and Coope ID. (2003) Frame-Based Ray Search Algorithms in Unconstrained Optimization. Journal of Optimization Theory and Applications 116(2): 359-377. http://dx.doi.org/10.1023/A:1022414105888.

• Price CJ. and Coope ID. (2003) Frames and Grids in Unconstrained and Linearly Constrained Optimization: A Nonsmooth Approach. SIAM Journal on Optimization 14(2): 415-438. http://dx.doi.org/10.1137/S1052623402407084.

• Coope ID. and Price CJ. (2002) Positive Bases in Numerical Optimization. Computational Optimization and Applications 21(2): 169-175.

• Price CJ., Coope ID. and Byatt D. (2002) A Convergent Variant of the Nelder-Mead Algorithm. Journal of Optimization Theory and Applications 113(1): 5-19. http://dx.doi.org/10.1023/A:1014849028575.

• Coope ID. and Price CJ. (2001) On the Convergence of Grid-Based Methods for Unconstrained Optimization. SIAM Journal on Optimization 11(4): 859-869. http://dx.doi.org/10.1137/S1052623499354989.

• Coope ID. and Price CJ. (2000) A direct search conjugate directions algorithm for unconstrained minimization. Australian and New Zealand Industrial and Applied Mathematics Journal 42: C478-C498.

• Coope ID. and Price CJ. (2000) Frame Based Methods for Unconstrained Optimization. Journal of Optimization Theory and Applications 107(2): 261-274. http://dx.doi.org/10.1023/A:1026429319405.

• Price CJ. and Coope ID. (1996) Numerical experiments in semi-infinite programming. Computational Optimization and Applications 6(2): 169-189. http://dx.doi.org/10.1007/BF00249645.

• Coope ID. and Price CJ. (1995) A modified BFGS formula maintaining positive definiteness with Armijo-Goldstein steplengths. Journal of Computational Mathematics 13(2): 156-160.

• Coope ID. and Price CJ. (1994) A two-parameter exact penalty function for nonlinear programming. Journal of Optimization Theory and Applications 83(1): 49-61. http://dx.doi.org/10.1007/BF02191761.

• Price CJ. and Coope ID. (1990) An exact penalty function algorithm for semi-infinite programmes. BIT Numerical Mathematics 30(4): 723-734. http://dx.doi.org/10.1007/BF01933219.

Conference Contributions - Published

• Reale M., Price CJ., Lin S. and Ellis R. (2019) Edge Deletion Tests in Graphical Models for Multivariate Time Series. In JSM Proceedings, Statistical Computing Section. Alexandria, VA: American Statistical Association. 1569-1574.

• Robertson B., Brown J., McDonald T. and Price C. (2019) Spatially Balanced Sampling using the Halton Sequence. In 2019 JSM Proceedings: 647-652.

• Robertson BL., Price C. and Reale M. (2017) Stochastic global optimization using random forests. In Proceedings of MODSIM 2017: 784-789.

• Robertson BL., Price CJ., Reale M. and Brown JA. (2013) Directed Voronoi Search: a method for bound constrained global optimization. In Proceedings of ASOR 2013: 46-52.

• Ong WE., Beatson R. and Price CJ. (2011) Reconstruction with blobby shapes. In ANZIAM journal 52: C596-C611.

• Oxley L., Rea W., Price C., Reale M. and Brown J. (2010) A new procedure to test for fractional integration. In.

• Robertson BL., Price CJ. and Reale M. (2009) Nonsmooth Optimization using Classification and Regression Trees. In : 1195-1201.

• Byatt D., Coope ID. and Price CJ. (2004) Effect of limited precision on the BFGS quasi-Newton algorithm. In Australian & New Zealand Industrial and Applied Mathematics Journal (ANZIAM) 45(Part C): C283-C295.

• Price C. (1997) A multistart linkage algorithm using first derivatives. In : 135-152.

• Price CJ. and Coope ID. (1990) The L_infinity exact penalty function in semi-infinite programming. In.

Conference Contributions - Other

• Robertson B., Brown J., McDonald T. and Price C. (2019) Spatially Balanced Sampling using the Halton Sequence. Denver, CO, USA: Joint Statistical Meeting, 28 Jul-2 Aug 2019.

• Robertson B., McDonald T., Brown J. and Price C. (2019) Quasi-random spatially balanced sampling. Adelaide, Australia: Biometrics by the Botanic Gardens, International Biometric Society Australasian Region Conference, 3-6 Dec 2019.

• Price CJ. (2017) Stochastic filter methods for global optimization. Bremen, Germany: 4th European Optimization in Space Engineering Workshop, 28-30 Mar 2017.

• Robertson BL., Price C. and Reale M. (2017) Random search global optimization using random forests. Auckland, New Zealand: 2017 IASC-ARS/NZSA Conference, 10-14 Dec 2017.

• Robertson BL., Price C. and Reale M. (2017) Stochastic global optimization using random forests. Hobart, Tasmania, Australia: The 22nd International Congress on Modelling and Simulation (MODSIM2017), 3-8 Dec 2017.

• Price CJ., Robertson BL. and Reale M. (2016) Stochastic filter methods for global optimization. Canberra, Australia: AUSTMS 2016. The 60th annual meeting of the Australian Mathematical Society, 4-8 Dec 2016.

• Reale M., Ellis R., Shaodan L. and Price C. (2016) Edge deletion tests in graphical models for multivariate time series. Canberra: Australian Statistical Conference, 5-9 Dec 2016.

• Robertson BL., Price CJ. and Reale M. (2016) Connections between local non-smooth optimization and global optimization. University of Canterbury: Optimization and Statistics in Data Science, 22-22 Nov 2016.

• Brown JA., Robertson B., Price CJ., Reale M., Jaksons P. and McDonald T. (2013) Spreading your effort: a balanced sample design for n-dimensions. Mandurah, Perth, Australia: The International Biometric Society, Australasian Region Conference, 1-5 Dec 2013.

• Price CJ. (2011) Recycling bases in the Halton sequence: an optimization view. Wollongong, Australia: 55th Annual meeting of the Australian Mathematical Society (AUSTMS 2011), 26-29 Sep 2011.

• Price CJ. (2009) Nonlinear optimization via direct search and filters. University of South Australia, Adelaide, Australia: 53rd Annual Meeting of the Australian Mathematical Society, 28 Sep-1 Oct 2009.

• Price CJ., Reale M. and Robertson BL. (2008) A stochastic direct method for bound constrained non-smooth global optimization. University of Canterbury, Christchurch, New Zealand: 7th Australia NZ Mathematics Convention, 8-12 Dec 2008.

• Price CJ. (2006) A direct search method for smooth and non-smooth unconstrained optimization. James Cook University, Townsville, Australia: Computational Techniques and Applications Conference 2006, 4-4 Jul 2006.

• Price CJ. (2004) Direct search optimization methods using grids and frames. University of Melbourne, Australia: CTAC 2004, 27 Sep 2004.

• Price CJ. and Coope ID. (2002) Grid-based and frame-based direct search methods. Toronto, Canada: SIAM Conference on Optimization OP02, 20 May 2002.

• Price CJ. (2001) A convergent variant of the Nelder Mead Algorithm. Erice, Italy: 33rd Workshop on High Performance Algorithms and Software, 30 Jun 2001.

Reports

• Treskatis T., Moyers-Gonzalez MA. and Price CJ. (2015) A trust-region SQP method for the numerical approximation of viscoplastic fluid flow. arXiv:1504.08057..

• Robertson BL., Price CJ. and Reale M. (2012) The CARToptimizer package version 1.0 user's guide.Department of Mathematics and Statistics, University of Canterbury. 18pp.

• Price CP. and Toint P. (2004) Exploiting problem structure in pattern-search methods for unconstrained optimization.Research Report UCDMS2004/3, Dept. of Mathematics and Statistics, University of Canterbury. 14pp.

• Byatt D., Coope ID. and Price CJ. (2003) Performance of Various BFGS and DFP Implementations with Limited Precision Second Order Information.Dept. of Mathematics and Statistics, University of Canterbury, Research Report No. UCDMS2003/1. 20pp.

• Byatt D., Coope ID. and Price CJ. (2002) Conjugate Grids for Unconstrained Optimisation.Dept. of Mathematics and Statistics, University of Canterbury, Research Report No. UCDMS2002/10. 21pp.

• Coope ID. and Price CJ. (2002) A Derivative Free Frame Based Conjugate Gradients Method.Dept. of Mathematics and Statistics, University of Canterbury, Research Report No. UCDMS2002/7. 19pp.

Chapters

• Coope ID. and Price CJ. (1998) Exact penalty function methods for nonlinear semi-infinite programming. In Reemtsen R; Rueckmann JJ (Ed.), Semi-Infinite Programming: 137-157. Amsterdam: Kluwer.

Additional Publications

• Robertson B., McDonald T., Brown J. and Price C. (2022) Drawing well-spread samples from spatial populations. 28 Sep 2022.

• Burachik RS., Kaya CY. and Price C. (2021) A Primal–Dual Penalty Method via Rounded Weighted-$\ell_1$-Lagrangian Duality. Google Meetings: Seminário brasileiro de otimização, 09 Mar 2021.

• Robertson B., McDonald T., Brown J. and Price C. (2021) Quasi-random spatially balanced sampling. SER-RM Workshop: Practical Tools and Sample Designs for Ecological Restoration Monitoring, 06 May 2021.

• Price C. (2020) A direct search method for constrained optimization via the rounded ℓ1 penalty function. Mathematics of Computation and Optimisation Group: Variational Analysis and Optimisation Webinar Series, 16 Sep 2020.

• Robertson B., Brown J., McDonald T. and Price C. (2020) Spatially balanced sampling of natural resources using a random-start Halton sequence.. Adelaide, Australia: University of Adelaide Biometry Hub.

• Robertson BL., Price CJ. and Reale M. (2013) Bound constrained global optimization using CART partitions. University of Wyoming, Laramie, WY, USA.

• Robertson BL., Price CJ. and Reale M. (2011) Direct search methods for nonsmooth optimization using global optimization techniques. University of Canterbury, Christchurch, New Zealand.

• Robertson BL., Price CJ. and Reale M. (2009) Nonsmooth optimization using classification and regression trees. Rome, Italy.

• Rea W., Price C., Oxley L. and Reale M. (2008) A New Procedure to Test for H Self-Similarity. University of Canterbury.21pp.

Editorial Work

• Computational Optimization and Applications Editorial Board Member ( 2011 - 2023)

Review and Refereeing

• Annals of Operations Research; Computational Optimization and Applications; Computers and Operations Research; Energies Journal; Symmetry journal; Applied Mathematics and Computation, Algorithms, Applied Science; Entropy; ANZIAM journal; Marine Science and Engineering; Journal of Supercomputing ( 2018 - 2023)
• ANZIAM journal; 4OR Journal; Journal of Optimization Theory and Applications; Applied Mathematical Modelling; Optimization and Engineering; American Journal of Applied Mathematics; Computers and Operations Research; Bulletin of the Australian Mathematical Society; Journal of Industrial and Management Optimization ( 2012 - 2023)
• Journal of Mathematical and Computational Applications, Algorithms Journal, Energies, Journal of Optimization Theory and Applications ( 2017 )
• SIAM Journal on Optimization; Computational Optimization and Applications; Mathematical and Computer Modelling; Journal of Global Optimization; Inverse Problems; Journal of Computational and Applied Mathematics; Advances in Operations Research; Discrete Dynamics in Nature and Society; Journal of Mathematical Analysis and Applications. 13th Computational Techniques and Applications Conference ( 2006 - 2011)
• SIAM Journal on Optimization; Journal of Global Optimization; Mathematical Programming; Engineering Optimization ( 1997 - 2002)
• SIAM Journal on Optimization; Mathematical Programming; Engineering Optimization and Applications; Optimization Methods and Software; European Journal of Operations Research; Proceedings of the Computational Techniques and Applications ( 2000 - 2005)

Research Groups