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**8**.

## Article

Zhang, Y. and Leithead, W.E. and Leith, D.J. and Walshe, L.
(2008)
*Log-det approximation based on uniformly distributed seeds and its application to Gaussian process regression.*
Journal of Computational and Applied Mathematics, 220 (1-2).
pp. 198-214.
ISSN 0377-0427

Leithead, W.E. and Zhang, Yunong and , Science Foundation Ireland grant, 00/PI.1/C067 (Funder) and , EPSRC, GR/M76379/01 (Funder)
(2007)
*O(N2)-Operation approximation of covariance matrix inverse in Gaussian process regression based on quasi-Newton BFGS method.*
Communications in Statistics - Simulation and Computation, 36 (2).
pp. 367-380.

Zhang, Y. and Leithead, W.E.
(2005)
*Exploiting Hessian matrix and trust-region algorithm in hyperparameters estimation of Gaussian process.*
Applied Mathematics and Computation, 171 (2).
pp. 1264-1281.
ISSN 0096-3003

Zhang, Y. and Zhang, M. and Jin, W. and Ho, H.L. and Demokan, M.S. and Culshaw, B. and Stewart, G.
(2004)
*Investigation of erbium-doped fiber laser intra-cavity absorption sensor for gas detection.*
Optics Communications, 232 (1-6).
pp. 295-301.
ISSN 0030-4018

## Book Section

Zhang, Y. and Leithead, W.E. and Leith, D.J.
(2005)
*Time-series Gaussian process regression based on toeplitz computation of O(N2) operations and O(N)-level storage.*
In:
Proceedings of the 44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05.
IEEE, pp. 3711-3716.
ISBN 0-7803-9567-0

Leithead, W.E. and Zhang, Y. and Leith, D.J.
(2005)
*Efficient Gaussian process based on BFGS updating and logdet approximation.*
In:
Proceedings of the 16th IFAC World Congress, 2005.
UNSPECIFIED, p. 217.
ISBN 978-3-902661-75-3

## Conference or Workshop Item

Zhang, Y. and Leithead, W.E. and Leith, D.
(2007)
*Random scaling of quasi-Newton BFGS method to improve the o(N^2)-operation approximation of covariance-matrix inverse in Gaussian process.*
In: IEEE 22nd International Symposium on Intelligent Control, 2007. ISIC 2007., 2007-10-01.

Yao, J. and Uttamchandani, D.G. and Zhang, Y. and Guo, Y. and Cui, Z.
(2002)
*One-step lithography for fabrication of a hybrid microlens array using a coding grey-level mask.*
In: Conference on MEMS/MOEMS - Advances in Photonic Communications, Sensing, Metrology, Packaging and Assembly, 2002-10-28 - 2002-10-29.

**Thu Sep 29 06:05:38 2016 BST**.