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Associate Professor Christopher John Price

Contact

Department: Mathematics and Statistics

Email: chris.price@canterbury.ac.nz

Direct Dial: +64 3 3692447

Office: Jack Erskine 601

Language: English

About
Research / Creative works
Networks
Projects

Fields of Research

  • Direct search methods in Optimization
  • Global optimisation
  • Applications of optimisation in industry and commerce
  • Semi-infinite programming
  • Acoustics

Researcher Summary

Research interests include optimisation and acoustics.

Subject Area: Disciplines

  • Engineering and Technology: Acoustics
  • Mathematics: Applied Mathematics; Pure Mathematics

Research/Scholarly/Creative Works

  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Oral Presentations)
  • 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. (Journal Articles)
  • Price CJ. (2020) Direct search nonsmooth constrained optimization via rounded ℓ1 penalty functions. Optimization Methods and Software http://dx.doi.org/10.1080/10556788.2020.1746961. (Journal Articles)
  • 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. (Oral Presentations)
  • 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. (Conference Contributions - Published)
  • 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. (Conference Contributions - Other)
  • Robertson B., Brown J., McDonald T. and Price C.. (2019) Spatially Balanced Sampling using the Halton Sequence. In 2019 JSM Proceedings: 647-652. (Conference Contributions - Published)
  • 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. (Conference Contributions - Other)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • Price CJ. (2017) Stochastic filter methods for global optimization. Bremen, Germany: 4th European Optimization in Space Engineering Workshop, 28-30 Mar 2017. (Conference Contributions - Other)
  • 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. (Journal Articles)
  • 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. (Conference Contributions - Other)
  • 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. (Conference Contributions - Other)
  • Robertson BL., Price C. and Reale M.. (2017) Stochastic global optimization using random forests. In Proceedings of MODSIM 2017: 784-789. (Conference Contributions - Published)
  • 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. (Journal Articles)
  • 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. (Conference Contributions - Other)
  • 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. (Journal Articles)
  • 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. (Conference Contributions - Other)
  • 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. (Conference Contributions - Other)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • Treskatis T., Moyers-Gonzalez MA. and Price CJ. (2014) A trust-region SQP method for the numerical approximation of viscoplastic fluid flow. . (Journal Articles)
  • 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. (Conference Contributions - Other)
  • Robertson BL., Price CJ. and Reale M. (2013) Bound constrained global optimization using CART partitions. University of Wyoming, Laramie, WY, USA. (Oral Presentations)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Conference Contributions - Published)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • Price CP. and Price CJ. (2012) Recycling primes in Halton sequences: an optimization perspective. Advanced Modeling and Optimization 14(1): 17-29. (Journal Articles)
  • 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. (Reports)
  • Ong WE., Beatson R. and Price CJ.. (2011) Reconstruction with blobby shapes. In ANZIAM journal 52: C596-C611. (Conference Contributions - Published)
  • 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. (Conference Contributions - Other)
  • Robertson BL., Price CJ. and Reale M. (2011) Direct search methods for nonsmooth optimization using global optimization techniques. University of Canterbury, Christchurch, New Zealand. (Oral Presentations)
  • 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. (Journal Articles)
  • Oxley L., Rea W., Price C., Reale M. and Brown J.. (2010) A new procedure to test for fractional integration. In. (Conference Contributions - Published)
  • 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. (Journal Articles)
  • 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. (Conference Contributions - Other)
  • 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. (Journal Articles)
  • Robertson BL., Price CJ. and Reale M. (2009) Nonsmooth optimization using classification and regression trees. Rome, Italy. (Oral Presentations)
  • Robertson BL., Price CJ. and Reale M.. (2009) Nonsmooth Optimization using Classification and Regression Trees. In : 1195-1201. (Conference Contributions - Published)
  • Price CJ., Reale M. and Robertson BL. (2008) A direct search method for smooth and nonsmooth unconstrained optimization. ANZIAM Journal 48: C927-C948. (Journal Articles)
  • 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. (Conference Contributions - Other)
  • Rea W., Price C., Oxley L. and Reale M. (2008) A New Procedure to Test for H Self-Similarity. University of Canterbury.21pp. (Scholarly Editions/Literary Translations)
  • 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. (Conference Contributions - Other)
  • Price CJ. and Toint PHL. (2006) Exploiting problem structure in pattern search methods for unconstrained optimization. Optimization Methods and Software 21(3): 479-491. (Journal Articles)
  • Byatt D., Coope ID. and Price CJ. (2004) Conjugate Grids for Unconstrained Optimisation. Computational Optimization and Applications 29(1): 49-68. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Conference Contributions - Published)
  • Coope ID. and Price CJ. (2004) A direct search frame-based conjugate gradients method. Journal of Computational Mathematics 22(4): 489-500. (Journal Articles)
  • 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. (Journal Articles)
  • Price CJ. (2004) Direct search optimization methods using grids and frames. University of Melbourne, Australia: CTAC 2004, 27 Sep 2004. (Conference Contributions - Other)
  • 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. (Reports)
  • 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. (Reports)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Reports)
  • 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. (Reports)
  • Coope ID. and Price CJ. (2002) Positive Bases in Numerical Optimization. Computational Optimization and Applications 21(2): 169-175. (Journal Articles)
  • Price CJ. and Coope ID. (2002) Grid-based and frame-based direct search methods. Toronto, Canada: SIAM Conference on Optimization OP02, 20 May 2002. (Conference Contributions - Other)
  • 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. (Journal Articles)
  • Byatt D. (2001) "Convergent variants of the Nelder-Mead simplex algorithm".. (Theses / Dissertations)
  • 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. (Journal Articles)
  • Price CJ. (2001) A convergent variant of the Nelder Mead Algorithm. Erice, Italy: 33rd Workshop on High Performance Algorithms and Software, 30 Jun 2001. (Conference Contributions - Other)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Chapters)
  • Price C.. (1997) A multistart linkage algorithm using first derivatives. In : 135-152. (Conference Contributions - Published)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • 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. (Journal Articles)
  • Price CJ. and Coope ID.. (1990) The L_infinity exact penalty function in semi-infinite programming. In. (Conference Contributions - Published)

Editorial Work

  • Computational Optimization and Applications Editorial Board Member ( 2011 - 2021)

Review and Refereeing

  • 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 - 2021)
  • ANZIAM journal; Computational Optimization and Applications; Computers and Operations Research; Energies Journal; Symmetry journal; Applied Mathematics and Computation, Algorithms ( 2018 - 2021)
  • 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

  • Computational Mathematics
  • Stochastic Optimization and Statistical Learning (SOSL)

Research Projects

  • Numerical Analysis of Viscoplastic Flows
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