
Overview
Background
Professor Geoffrey McLachlan's research interests are in: data mining, statistical analysis of microarray, gene expression data, finite mixture models and medical statistics.
Professor McLachlan received his PhD from the University of Queensland in 1974 and his DSc from there in 1994. His current research projects in statistics are in the related fields of classification, cluster and discriminant analyses, image analysis, machine learning, neural networks, and pattern recognition, and in the field of statistical inference. The focus in the latter field has been on the theory and applications of finite mixture models and on estimation via the EM algorithm.
A common theme of his research in these fields has been statistical computation, with particular attention being given to the computational aspects of the statistical methodology. This computational theme extends to Professor McLachlan's more recent interests in the field of data mining.
He is also actively involved in research in the field of medical statistics and, more recently, in the statistical analysis of microarray gene expression data.
Availability
- Professor Geoffrey McLachlan is:
- Available for supervision
- Media expert
Fields of research
Qualifications
- Bachelor (Honours) of Science (Advanced), The University of Queensland
- Doctor of Philosophy, The University of Queensland
- Doctoral Diploma of Science (Advanced), The University of Queensland
- Australian Mathematical Society, Australian Mathematical Society
Works
Search Professor Geoffrey McLachlan’s works on UQ eSpace
1980
Journal Article
On the mean square error associated with adaptive generalized ridge regression
McLachlan G.J. (1980). On the mean square error associated with adaptive generalized ridge regression. Biometrical Journal, 22 (2), 125-129. doi: 10.1002/bimj.4710220205
1979
Journal Article
A case study of two clustering methods based on maximum likelihood
Ganesalingam, S. and McLachlan, G. J. (1979). A case study of two clustering methods based on maximum likelihood. Statistica Neerlandica, 33 (2), 81-90. doi: 10.1111/j.1467-9574.1979.tb00665.x
1979
Conference Publication
Analysis of Some Censored Survival Data From a Large-Scale Study of Melanoma
Holt, JN and McLachlan, GJ (1979). Analysis of Some Censored Survival Data From a Large-Scale Study of Melanoma. WASHINGTON: INTERNATIONAL BIOMETRIC SOC.
1979
Journal Article
Small sample results for a linear discriminant function estimated from a mixture of normal populations
Ganesalingam, S. and McLachlan, G. J. (1979). Small sample results for a linear discriminant function estimated from a mixture of normal populations. Journal of Statistical Computation and Simulation, 9 (2), 151-158. doi: 10.1080/00949657908810306
1979
Journal Article
Comparison of the Estimative and Predictive Methods of Estimating Posterior Probabilities
McLachlan, G. J. (1979). Comparison of the Estimative and Predictive Methods of Estimating Posterior Probabilities. Communications in Statistics Part A-Theory and Methods, 8 (9), 919-929. doi: 10.1080/03610927908827807
1979
Journal Article
Expected error rates for logistic regression versus normal discriminant analysis
McLachlan, G. J. and Byth, K. (1979). Expected error rates for logistic regression versus normal discriminant analysis. Biometrical Journal, 21 (1), 47-56. doi: 10.1002/bimj.4710210107
1978
Journal Article
Efficiency of a Linear Discriminant Function Based On Unclassified Initial Samples
Ganesalingam, S and McLachlan, GJ (1978). Efficiency of a Linear Discriminant Function Based On Unclassified Initial Samples. Biometrika, 65 (3), 658-662. doi: 10.1093/biomet/65.3.658
1978
Journal Article
Small sample results for partial classification with the Studentized statistic W
McLachlan, G. J. (1978). Small sample results for partial classification with the Studentized statistic W. Biometrical Journal, 20 (7-8), 639-644. doi: 10.1002/bimj.197800003
1978
Journal Article
Biases Associated with Maximum Likelihood Methods of Estimation of Multivariate Logistic Risk Function
Byth, K and McLachlan, GJ (1978). Biases Associated with Maximum Likelihood Methods of Estimation of Multivariate Logistic Risk Function. Communications in Statistics Part A-Theory and Methods, 7 (9), 877-890. doi: 10.1080/03610927808827679
1978
Conference Publication
Bias Associated with Maximum Likelihood Estimation of Multivariate Logistic Risk Function
McLachlan, GJ (1978). Bias Associated with Maximum Likelihood Estimation of Multivariate Logistic Risk Function. WASHINGTON: INTERNATIONAL BIOMETRIC SOC.
1977
Journal Article
Estimating Linear Discriminant Function From Initial Samples Containing a Small Number of Unclassified Observations
McLachlan, GJ (1977). Estimating Linear Discriminant Function From Initial Samples Containing a Small Number of Unclassified Observations. Journal of the American Statistical Association, 72 (358), 403-406. doi: 10.2307/2286807
1977
Journal Article
Note On Choice of a Weighting Function to Give An Efficient Method for Estimating Probability of Misclassification
McLachlan, GJ (1977). Note On Choice of a Weighting Function to Give An Efficient Method for Estimating Probability of Misclassification. Pattern Recognition, 9 (3), 147-149. doi: 10.1016/0031-3203(77)90012-7
1977
Journal Article
Constrained Sample Discrimination with Studentized Classification Statistic-W
McLachlan, GJ (1977). Constrained Sample Discrimination with Studentized Classification Statistic-W. Communications in Statistics Part A-Theory and Methods, 6 (6), 575-583. doi: 10.1080/03610927708827515
1977
Journal Article
The bias of sample based posterior probabilities
McLachlan, G. J. (1977). The bias of sample based posterior probabilities. Biometrical Journal, 19 (6), 421-426. doi: 10.1002/bimj.4710190604
1976
Journal Article
Criterion for Selecting Variables for Linear Discriminant Function
McLachlan, GJ (1976). Criterion for Selecting Variables for Linear Discriminant Function. Biometrics, 32 (3), 529-534. doi: 10.2307/2529742
1976
Journal Article
Further Results On Effect of Intraclass Correlation Among Training Samples in Discriminant-Analysis
McLachlan, GJ (1976). Further Results On Effect of Intraclass Correlation Among Training Samples in Discriminant-Analysis. Pattern Recognition, 8 (4), 273-275. doi: 10.1016/0031-3203(76)90047-9
1976
Journal Article
Bias of Apparent Error Rate in Discriminant-Analysis
McLachlan, GJ (1976). Bias of Apparent Error Rate in Discriminant-Analysis. Biometrika, 63 (2), 239-244. doi: 10.2307/2335615
1975
Journal Article
Confidence Intervals for Conditional Probability of Misallocation in Discriminant-Analysis
McLachlan, GJ (1975). Confidence Intervals for Conditional Probability of Misallocation in Discriminant-Analysis. Biometrics, 31 (1), 161-167. doi: 10.2307/2529717
1975
Journal Article
Iterative reclassification procedure for constructing an asymptotically optimal rule of allocation in discriminant analysis
McLachlan, G. J. (1975). Iterative reclassification procedure for constructing an asymptotically optimal rule of allocation in discriminant analysis. Journal of the American Statistical Association, 70 (350), 365-369. doi: 10.1080/01621459.1975.10479874
1975
Journal Article
Some Expected Values for Error Rates of Sample Quadratic Discriminant Function
McLachlan, GJ (1975). Some Expected Values for Error Rates of Sample Quadratic Discriminant Function. Australian Journal of Statistics, 17 (3), 161-165. doi: 10.1111/j.1467-842x.1975.tb00953.x
Funding
Current funding
Past funding
Supervision
Availability
- Professor Geoffrey McLachlan is:
- Available for supervision
Before you email them, read our advice on how to contact a supervisor.
Supervision history
Current supervision
-
Doctor Philosophy
Role of Finite Mixture Models in Semi-Supervised Learning
Principal Advisor
Other advisors: Dr Sharon Lee
-
Doctor Philosophy
Using statistical genetics approaches to gain insight into patterns of variation in complex traits
Associate Advisor
Other advisors: Dr Vivi Arief, Dr Quan Nguyen, Emeritus Professor Kaye Basford
-
Doctor Philosophy
Learning a mineralised fault network at the Cracow Gold Mine from geologically-informed 3D synthetic seismic data
Associate Advisor
Other advisors: Dr Dion Weatherley, Professor Rick Valenta
-
Doctor Philosophy
The Application of Advanced Statistical Methods to Hyperspectral Images in Mineral Exploration
Associate Advisor
Other advisors: Dr Dion Weatherley, Professor Rick Valenta
-
Doctor Philosophy
Using statistical genetics approaches to gain insight into patterns of variation in complex traits
Associate Advisor
Other advisors: Dr Vivi Arief, Dr Quan Nguyen, Emeritus Professor Kaye Basford
Completed supervision
-
2024
Doctor Philosophy
Detecting the unexpected in astronomical data using complexity based approaches
Principal Advisor
-
2023
Doctor Philosophy
Improving Predictability of Minerals Processing Models by Developing a Methodology based-on Machine Learning Techniques
Principal Advisor
-
-
2015
Doctor Philosophy
Finite Mixture Models for Regression Problems
Principal Advisor
Other advisors: Dr Ian Wood
-
2014
Doctor Philosophy
Finite Mixture Modelling using Multivariate Skew Distributions
Principal Advisor
Other advisors: Dr Ian Wood
-
2012
Doctor Philosophy
Detection of Differentially Expressed Genes via Mixture Models and Cluster Analysis
Principal Advisor
Other advisors: Dr Ian Wood
-
2009
Doctor Philosophy
Statistical analysis of high-dimensional gene expression data
Principal Advisor
-
2005
Doctor Philosophy
CLUSTERING WITH MIXED VARIABLES
Principal Advisor
-
2004
Master Science
Modelling the statistical behaviour of temperature using a modified Brennan and Schwartz 1982 interest rate model
Principal Advisor
Other advisors: Associate Professor Michael Bulmer
-
2024
Doctor Philosophy
The Wealth of Features: towards a coherent cooperative game theory for feature importance
Associate Advisor
Other advisors: Associate Professor Sally Shrapnel, Dr Ian Wood
-
2019
Doctor Philosophy
Maximum pseudolikelihood estimation with Markov random fields in the segmentation of brain magnetic resonance images
Associate Advisor
Other advisors: Dr Ian Wood
-
-
2016
Doctor Philosophy
Estimation of missing values in multivariate multi-environment trial data for three-way pattern analysis
Associate Advisor
Other advisors: Emeritus Professor Kaye Basford
-
-
Doctor Philosophy
TOPOLOGICAL MODELS OF TRANSMEMBRANE PROTEINS FOR SUBCELLULAR LOCALIZATION PREDICTION
Associate Advisor
Other advisors: Associate Professor Marcus Gallagher, Professor Mikael Boden
Media
Enquiries
Contact Professor Geoffrey McLachlan directly for media enquiries about:
- Bioinformatics
- Computation - statistics
- Computer learning
- Data mining
- Gene expression data
- Image analysis - statistics
- Machine learning
- Neural networks
- Pattern recognition - statistics
- Statistical methodology
- Statistics
Need help?
For help with finding experts, story ideas and media enquiries, contact our Media team: