• Geoff K. Nicholls, Colin Fox, Alexis Muir Watt.  Coupled MCMC with a randomized acceptance probability arxiv.org/abs/1205.6857
  
• Richard A. Norton, Colin Fox, Malcolm E. Morrison 2016 Numerical approximation of the Frobenius-Perron operator using the finite volume method, submitted, arxiv

• Richard A. Norton, J. Andrés Christen, Colin Fox, 2017 Sampling hyperparameters in hierarchical models: improving on Gibbs for high-dimensional latent fields and large data sets Communications in Statistics - Simulation and Computation, arxiv, link, http://dx.doi.org/10.1080/03610918.2017.1353618

• Gordon Hiscott, Colin Fox, Matthew Parry, David Bryant, 2016 Efficient recycled algorithms for quantitative trait models on phylogenies, Genome Biology and Evolution  doi: 10.1093/gbe/evw064 arxiv.org/abs/1512.00890, pdf
• Colin Fox and Richard A Norton, 2016 Fast sampling in a linear Gaussian inverse problem, SIAM/ASA J. Uncertainty Quantification (JUQ), Vol. 4, pp. 1191–1218 arxiv preprint, pdf
• Morrison M and Fox C 2016 Vector Green’s Functions for Electrodynamics Applications. Proceedings of the The 22nd Electronics New Zealand Conference (ENZCon), Wellington, New Zealand, November 2016. pdf

• Colin Fox and Albert E. Parker, Accelerated Gibbs sampling of normal distributions using matrix splittings and polynomials, Bernoulli (in the press) arxiv.org/abs/1505.03512, online publication
• J. Andrés Christen, Colin Fox & Mario Santana-Cibrian 2015 Optimal Direction Gibbs Sampler for Truncated Multivariate Normal Distributions Communications in Statistics - Simulation and Computation DOI: 10.1080/03610918.2015.1053926 link to this article

• Fox C 2014 Introduction to “Efficient local updates for undirected graphical models” by F. Stingo, G. Marchetti, Statistics and Computing, DOI 10.1007/s11222-014-9531-8
• Chung H Emms G and Fox C 2014 Vibration reduction in lightweight floor/ceiling systems with a sand-sawdust damping layer, Acta Acustica united with Acustica, 100 628-639, doi:10.3813/AAA.918742. pdf scan
  
• Colin Fox and Al Parker. Convergence in variance of Chebyshev accelerated Gibbs samplers, SIAM Journal on Scientific Computing (SISC) 36(1), pp. A124–A147. pdf
• Fox C and Norton R A 2014 A classroom example of semi-blind deconvolution using sample-based inference. Proceedings of the The 21st Electronics New Zealand Conference (ENZCon), Hamilton, New Zealand, November 2014. pdf
• Morrison M and Fox C 2014 Grid Based Sequential Inference. Proceedings of the The 21st Electronics New Zealand Conference (ENZCon), Hamilton, New Zealand, November 2014. pdf
• H.J. Lawrence, T.C.A. Molteno and C. Fox 2014 Using Markov Chain Monte Carlo to Estimate Bearing Condition. Proceedings of the The 21st Electronics New Zealand Conference (ENZCon), Hamilton, New Zealand, November 2014. pdf

• Fox C 2013 Polynomial accelerated MCMC, and other sampling algorithms inspired by computational optimization, Monte Carlo and Quasi-Monte Carlo Methods 2012, eds Josef Dick, Frances Y. Kuo, Gareth W. Peters, and Ian H. Sloan, Springer-Verlag. pdf preprint
• Fox C Haario H and Christen J A 2013 Inverse problems Chapter 31, Bayesian Theory and Applications, eds. Paul Damien, Petros Dellaportas, Nicholas G. Polson, and David A. Stephens, Oxford University Press. pdf
  

• Al Parker and Colin Fox 2012 Sampling Gaussian distributions in Krylov spaces with conjugate gradients SIAM Journal on Scientific Computing (SISC) 34(3), pp. B312–B334. pdf
• Ma E and Fox C 2012 Swap moves for MCMC applied to electrical impedance tomography. Proceedings of the The 19th Electronics New Zealand Conference (ENZCon), Dunedin, New Zealand, December 2012, pp 141–144. ISBN: 978-0-473-23275-7 (Print). pdf
• Colin Fox 2012 A Gibbs sampler for conductivity imaging and other inverse problems Proc. of SPIE Vol. 8500, Image Reconstruction from Incomplete Data VII, eds P J Bones, M A Fiddy, R P Millane, doi: 10.1117/12.931111, pp 850006-1 - 7. pdf
  
• Johnathan M. Bardsley and Colin Fox 2012 An MCMC method for uncertainty quantification in nonnegativity constrained inverse problems Inverse Problems in Science and Engineering,  link to article
• Nicholas Dudley Ward and Colin Fox 2012 Identification of aquifer parameters from pump test data with regard for uncertainty Journal of Hydrologic Engineering doi:10.1061/(ASCE)HE.1943-5584.0000521, pp 769-781.
  

• Cui T Fox C and O’Sullivan M J 2011 Bayesian calibration of a large-scale geothermal reservoir model by a new adaptive delayed acceptance Metropolis Hastings algorithm. Water Resources Research, 47, W10521, doi:10.1029/2010WR010352. link to journal pdf
• Suggate P Molteno T and Fox C 2011 FPGA-based electrical impedance tomography Proceedings of the 18th Electronics New Zealand Conference, 21-22 November, 2011 pp 95-100. pdf
• Cui T Fox C and O’Sullivan M J 2011 Adaptive error modelling in MCMC sampling for large scale inverse problems Report of University of Auckland Faculty of Engineering nr. 687, link to pdf
• Cui T Fox C Nicholls G K and O’Sullivan M J 2011Using parallel MCMC sampling to calibrate a computer model of a geothermal reservoir Report of University of Auckland Faculty of Engineering nr. 686, link to pdf
• Siekmann I Wagner L E Yule D Fox C Bryant D Crampin E J and Sneyd J 2011 MCMC estimation of Markov models for ion channels Biophysics Journal April 2011. link to journal
•  Dave Higdon, C. Shane Reese, David Moulton, Jasper Vrugt and Colin Fox 2011 Posterior exploration for computationally intensive forward models in Handbook of Markov Chain Monte Carlo eds Steve Brooks, Andrew Gelman, Galin L. Jones and Xiao-Li Meng. Published by Chapman & Hall/CRC. online pdf
  
• Watzenig D Neumayer M and Fox C 2011 Accelerated Markov chain Monte Carlo sampling in electrical capacitance tomography COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 30(6) 1842-1854. pdf preprint, journal home
• Kaipio J P and Fox C 2011 The Bayesian framework for inverse problems in heat transfer  Invited to Heat Transfer Engineering 32(9) 718-753. pdf preprint,  642 KB online pdf

• Watzenig D Neumayer M and Fox C 2010 Accelerated Markov chain Monte Carlo sampling in electrical capacitance tomography Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, Graz, Austria, 19 to 22 September, 2010. pdf preprint
• Hyuck Chung, Colin Fox, George Dodd and Grant Emms 2010 Lightweight Floor/Ceiling Systems with Improved Impact Sound Insulation Building Acoustics 17(2) 129–141. online pdf pdf
  
• Cui T and Fox C 2010 Computational inference for inverse problems  Annotated bibliography in ISBA Bulletin 17(3) 12-15. Sept 2010 ISBA Bulletin
• Hyuck Chung, George Dodd, Grant Emms, Colin Fox, Ken McGunnigle and Gian Schmid 2010 Novel design of a lightweight floor/ceiling system with improved impact sound insulation New Zealand Acoustics 23(1) 9–16. pdf scan
• Christen J A and Fox C 2010 A general purpose sampling algorithm for continuous distributions (the t-walk) Bayesian Analysis 5 (2) 1-20. doi:10.1214/10-BA603 online pdf

• Ma E and Fox C 2009 A toy example of electrical impedance imaging using computational inference. Proceedings of the 16th Electronics New Zealand Conference (ENZCon), Dunedin, New Zealand, 18-20 November, 2009 pp 49-53. pdf
• Fox C 2009 Low-cost contour and groundwater mapping. Proceedings of the 16th Electronics New Zealand Conference (ENZCon), Dunedin, New Zealand, 18-20 November, 2009 pp 55-60. pdf
• Fox C and Dudley Ward N 2009 A comparative study of ‘inversion’, ‘optimization’, and ‘inference’ as frameworks for imaging. Proceedings of the 16th Electronics New Zealand Conference (ENZCon), Dunedin, New Zealand, 18-20 November, 2009 pp 119-124. pdf
• Chung H and Fox C 2009 A direct relationship between bending waves and edge conditions of floating plates.  Wave Motion doi:10.1016/j.wavemoti.2009.05.001  pdf preprint,  535 KB
• Watzenig D and Fox C 2009 A review of statistical modelling and inference for electrical capacitance tomography.  Invited to Meas. Sci. Technol. 20 052002 (22pp) doi: 10.1088/0957-0233/20/5/052002. pdf,  4.3 MB
• Roy D, Nicholls G and Fox C 2008 Imaging convex quadrilateral inclusions in uniform conductors from electrical boundary measurements. Statistics and Computing,Volume 19, Number 1 / March, 2009,  17-26. doi:10.1007/s11222-008-9064-0

• Fox C and Watzenig D 2008 Electrical capacitance tomography using Bayesian inference. Proceedings of the Fifteenth Electronics New Zealand Conference ENZCon 2008, 24-25 November 2008, Auckland, pp 13-18. (pdf,  1.5 MB)
• Fox C 2008 Recent Advances in Inferential Solutions to Inverse Problems. Invited to Inverse Problems in Science and Engineering 16 797-810
• Moulton J D, Fox C and Svyatskiy D 2008 Multilevel approximations in sample-based inversion from the Dirichlet-to-Neumann map. Journal of Physics: Conference Series 124 doi: 10.1088/1742-6596/124/1/012035  
• Watzenig D and Fox, C 2008 Posterior variability of inclusion shape based on tomographic measurement data. J. Phys.: Conf. Ser. 135 012102 (8pp)  doi: 10.1088/1742-6596/135/1/012102 (6th International Conference on Inverse Problems in Engineering: Theory and Practice, Dourdan (Paris), France - June 15-19, 2008)
• Schwarzl C, Watzenig, D and Fox C 2008 Estimation of contour parameter uncertainties in permittivity imaging using MCMC sampling. SAM 2008 -- 5th IEEE Sensor Array and Multichannel Signal Processing Workshop, July 21-23. 2008, Darmstadt, Germany.  ISBN: 978-1-4244-2240-1 pp 446-450. doi: 10.1109/SAM.2008.4606909

• Fox C, Oleinik V, Pavlov B S 2008 A Dirichlet-to-Neumann map approach to resonance gaps and bands of periodic networks In:  Recent Advances in Differential Equations and Mathematical Physics  Editors: N. Chernov, Yu. Karpeshina, I. W. Knowles, R.T. Lewis, G.Stolz  Publisher: AMS  Series: Contemporary Mathematics 412  (2006) 151-169. (pdf preprint,  435 KB)
• Fox C 2007 Recent Advances in Inferential Solutions to Inverse Problems. In Proceedings of the Inverse Problems, Design and Optimization Symposium, Miami, Florida, April 16-18, 2007,  pp 757-764, ISBN 978-1-59916-280-5.  pdf of scan
• Colin Fox, Hyuck Chung, George Dodd, Gian Schmid, Grant Emms, Ken McGunnigle. Calibrated modelling of low-frequency vibration in light weight timber floors. InterNoise 2006, The 2006 International Congress and Exhibition on Noise Control Engineering, Honolulu, Hawaii, December 3-6, 2006. (pdf preprint,  246 KB)
• Hyuck Chung, Colin Fox. Including the irregularities in the light-weight floor/ceiling model. InterNoise 2006, The 2006 International Congress and Exhibition on Noise Control Engineering, Honolulu, Hawaii, December 3-6, 2006. (pdf preprint,  222 KB)
• Grant Emms, Hyuck Chung, George Dodd, Ken McGunnigle, Colin Fox, and Gian Schmid. Low-frequency vibration measurements on LTF floors. InterNoise 2006, The 2006 International Congress and Exhibition on Noise Control Engineering, Honolulu, Hawaii, December 3-6, 2006. (pdf preprint,  222 KB)
• Heumann; John M., Fox; Colin, Gines; David, Tufillaro; Nicholas. Highly constrained tomography for automated inspection of area arrays, United States Patent 7,099,435, August 29, 2006. (URL) 
• Tiangang Cui, Colin Fox, Geoff Nicholls and Michael O’Sullivan 2006 Bayesian inference for geothermal model calibration, Proceedings 28th NZ Geothermal Workshop, Auckland, November 15th-17th, 2006 (link to pdf file)
  

• J. Andrés Christen and Colin Fox, MCMC using an Approximation, Journal of Computational and Graphical Statistics, Vol. 14, No. 4, December 2005 pp.795-810 . (pdf preprint,  343 KB)
• H. Chung and C. Fox, Wave propagation across a crack in an ice sheet. Proceedings of the 18th International Conference on Port and Ocean Engineering Under Arctic Conditions, Potsdam, New York, USA, June 26 – June 30, 2005. (pdf preprint,  321 KB)
• H. Chung and C. Fox, Transition conditions at the interface between floating plates, 20th International Workshop on the Water Waves and Floating Bodies (2005), Longyearbyen, Spitsbergen, Norway, 29th May - 1st June, 2005. (pdf preprint,  295 KB)

• J. Sneyd, M. Falcke, J.-F. Dufour, and C. Fox, "A comparison of three models of the inositol trisphosphate receptor", Progress in Biophysics & Molecular Biology 85 (2004) 121-140.

• Colin Fox and Geoff Nicholls. `Statistical Estimation of the Parameters of a PDE'. Canadian Applied Mathematics Quarterly, Volume 10, Number 2, Summer 2002, 277-306. (pdf preprint,  634 KB)
• Chung, H., Fox C. ` Propagation of flexural waves at the interface between floating plates'. Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference, Kitakyushu, Japan, May 26-31, 2002, vol. 1, 808-815. (pdf preprint,  1.0MB)
• Hyuck Chung and Colin Fox 2002 Propagation of flexural waves at the interface between floating plates. International Journal of Offshore and Polar Engineering, Vol 12, No. 3, 163-170, September 2002 (ISSN 1053-5381). pdf, (pdf preprint,  249 KB)
• Chung, H., Fox C. ` Calculation of wave-ice interaction using the Wiener-Hopf technique.' New Zealand Journal of Mathematics, 31, nr. 1, 1-18, April 2002. (pdf preprint,  330KB)

• Fox, C., Ballagh, K. `In situ measurement of power flow and mechanical properties of vibrating timber structures'. InterNoise 2001, The 2001 International Congress and Exhibition on Noise Control Engineering, The Hague, The Netherlands, August 27-30, 2001. (pdf preprint,  137 KB) , (pdf transparencies,  174 KB)
• Fox, C., and Nicholls, G.K. `Exact MAP states and expectations from perfect sampling: Greig, Porteous and Seheult revisited'. Bayesian Inference and Maximum Entropy Methods in Science and Engineering, 20th International Workshop (Gif-sur-Yvette), 8-13 July 2000, edited by Ali Mohammad-Djafari, AIP Conference Proceedings volume 568, 252-263, American Institute of Physics, New York, 2001. (ps.gz preprint,  92KB)
• Emms, G.W., Fox, C. `Control of sound transmission through an aperture using active sound absorption techniques: a theoretical investigation'. Applied Acoustics 62, 735-747, 2001.
• Langhorne, P. J., Squire, V. A., Fox, C. and Haskell, T.G., Lifetime estimation for a land-fast ice sheet subjected to ocean swell Annals of Glaciology 33, 333-338, 2001.
• Fox, C., Haskell, T.G., Chung, H. `Dynamic, in-situ measurement of sea-ice characteristic length'.  Annals of Glaciology  33, 339-344, 2001. (pdf preprint,  512 KB)
• Fox, C., Haskell T.G.  ` Ocean wave speed in the Antarctic MIZ'. Annals of Glaciology,  33, 350-354, 2001. (pdf preprint,  411 KB)
• Chung, H., and Fox C. `Calculation of wave propagation into land-fast ice'. Annals of Glaciology,  33, 322-326, 2001.

• Fox, C., Nicholls, G. and Palm, M. ` Efficient solution of boundary-value problems for image reconstruction via sampling'. Journal of Electronic Imaging, 9(3) 251-259, July 2000. (pdf preprint,  234 KB)
• Fox, C. ` A scaling law for the flexural motion of floating ice'. In Scaling Laws in Ice Mechanics and Ice Dynamics, J.P. Dempsey, H.H. Shen (Eds.), Proceedings of the IUTAM Symposium, held in University of Alaska Fairbanks, Fairbanks, Alaska, U.S.A.,  June 13-16, 2000, 135-148. (pdf preprint,  326 KB)

• Fox, C., Palm, M. and Nicholls, G. K. `Efficient, exact PDE solutions for MCMC'. in Mathematical Modeling, Bayesian Estimation and Inverse Problems, Proc. SPIE 3816, 23-30, 1999. (pdf preprint,  221 KB)
• Fox, C. Measurement of directional wave spectra in fast ice. In Ice in Surface Waters 2, Proceedings of the 14th International Symposium on Ice. H.T. Shen, ed. Balkema, Rotterdam, 849-853, 1999.
• Langhorne P J Squire V A Fox C and Haskell T J 1999 Role of fatigue in wave-induced break-up of sea ice: a review'. In Ice in Surface Waters 2, Proceedings of the 14th International Symposium on Ice. H.T. Shen, ed. Balkema, Rotterdam, 1019-1023.
• Dempsey, J.P., Fox, C., Palmer, A.C. `Ice-slope interaction: transitions in failure mode'.  In Proceedings of OMAE99, 18th International Conference on Offshore Mechanics and Arctic Engineering, July 11-16, St. Johns, Newfoundland, Canada, 1999. (pdf article,  65 KB)
• Colin Fox and Hyuck Chung, 1999 Green's Function for Forcing of a Thin Floating Plate, Department of Mathematics Report Series No. 408, The University of Auckland, ISSN 1173-0889, pdf

• Langhorne, P. J., Squire, V. A., Fox, C. and Haskell, T.G. `Breakup of Sea Ice by Ocean Waves'. Annals of Glaciology, 27, 438-442, 1998.
• Fox, C. and Nicholls, G. K. `Physically-based likelihood for ultrasound imaging', Bayesian Inference for Inverse Problems, Proc. SPIE 3459, 92-99, 1998.
• Nicholls, G. K. and Fox, C. `Prior modelling and posterior sampling in impedance imaging'. In Bayesian Inference for Inverse Problems, Proc. SPIE 3459, 116-127, 1998. (pdf preprint,  404 KB)

• Fox, C. and Nicholls, G. `Sampling Conductivity Images via MCMC'. In: The Art and Science of Bayesian Image Analysis, K.V. Mardia, C.A. Gill, R.G. Aykroyd eds, Proceedings of the Leeds Annual Statistical Research Workshop (LASR), 91-100, July 1997, Leeds University Press, 1997.
• Wilcocks, L., Fox, C., Measurement of Ice-Coupled Wave Coherence in McMurdo Sound. In proceedings of Joint Assembly of IAMAS/IAPSO, Melbourne, July 1997.
• Fox, C., `Real-Time Audio Processing on a PC'. Journal of the New Zealand Acoustical Society, 11-26, February 1997.
• Meylan, M., Squire, V.A. and Fox, C. `Towards Realism in Modelling Ocean Wave Behavior in Marginal Ice Zones'. Journal of Geophysical Research, 102, 22981-22991, October 15, 1997.

• Meylan, M., Fox, C., `A Model for the Propagation of Waves through the MIZ from a Single Floe Solution'. Proceedings of the Sixth International Offshore and Polar Engineering Conference, USA, 321-327, May 1996.

• Emms, G., and Fox, C., `Sound power absorption by monopoles near a window: a theoretical investigation'. Proc. 13th Biennial Conference of the New Zealand Acoustical Society, Auckland, August 1995.
• Fox C 1995 Physical Acoustics -- Models and Solutions In Proceedings of the13th Biennial Conference of the New Zealand Acoustical Society, Auckland, August 1995, 15.1--15.12. pdf scan

• Fox, C. and Squire, V.A. `On the oblique reflexion and transmission of ocean waves at shore fast sea ice'. Phil Trans R. Soc. Lond. A 347, 185-218, 1994.

• Fox, C. `The Response of a Floating Ice-Sheet to Rapid Edge Loading'. AMD-Vol. 163, Ice Mechanics, ASME 145-150, 1993.
• Squire, V.A., Rottier, P., Fox, C., `A first look at some wave-ice interaction data from McMurdo Sound, Antarctica'. Int. Symp. on Sea Ice, Beijing, 1993.

• Fox, C. `Large Amplitude Sea/Ice Coupling'. In Murthy, TKS, Sackinger, WM, and Wadhams, P., ed. Advances in Ice Technology, 3rd Int. Conf on Ice Technology, Cambridge, MA, USA, Computational Mechanics Publications, 291-304, 1992.
• Squire, V.A. and Fox, C. `On Ice Coupled Waves: A Comparison of Data and Theory'. In Murthy, TKS, Sackinger, WM, and Wadhams, P, ed. Advances in Ice Technology, Proc 3rd Int. Conf on Ice Tech, Cambridge, MA, USA, Computational Mechanics Publications, 269-280, 1992.

• Fox, C. and Squire, V.A. `Coupling between the ocean and an ice shelf'. Annals of Glaciology 15, 101-107, 1991. (pdf scan,  1.2 MB)
• Fox, C. and Squire, V.A. `Strain in Shore Fast Ice due to Incoming Ocean Waves and Swell'. Journal of Geophysical Research 96-C3, 4531-4547, March 15, 1991.
• Squire, V.A., Fox, C. `The role of incoming waves in ice edge dynamics'. Annals of Glaciology 15, 96-100, 1991.

• Fox, C., and Squire, V.A., `Reflection and transmission characteristics at the edge of shore fast sea ice'. Journal of Geophysical Research 95-C7, 11,629-11,639, July 15, 1990.

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Last modified 22 Jan 2017