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Here is a quick graphic view of my
areas of research
Some key current areas of focus for statistical theory, methods and computational
research include:
- Bayesian modelling of sparse multivariate structures in complex statistical models
- sparse latent factor models and graphical modelling;
- Problems with large data sets and high-dimensional covariate
spaces in regression and classification models for prediction,
including highly structured mixture modelling for large data sets;
- Latent factor models,
including applications in high-dimensional statistical models, multi-scale time series, and others;
- Graphical models, and related statistical and graph theory for graph structuring;
- Multivariate time series and state-space modelling with factor, graphical and non-parametric/non-linear structure;
- MCMC and sequential Monte Carlo (particle filtering) simulation methods for Bayesian computation;
- Large-scale model search and stochastic methods for evolutionary exploration
of complex model spaces;
- Image modelling and tracking problems in dynamic imaging;
- GPU (graphics processing unit) computation for statistics.
Current collaborations include applications in finance, and major projects in genomics, cellular
studies and systems biology, including:
- Large-scale portfolio studies in global investment management, and small-scale portfolios in
mutual fund studies at the level of individual investors;
- Molecular profiling in cancer (and other areas) using genomic data, and
statistical analysis for translation of laboratory-to-clinical studies;
- Gene expression analysis in biological pathway studies,
- deregulation of oncogenic pathways, pathways related to environmental influences in cancer, and others;
- Parameter estimation and model evaluation using
discrete-time dynamic stochastic models of dynamic cellular networks;
- Imaging methodology for single-cell fluorescent studies in systems biology;
- Statistical mixture modelling of large-scale spatio-temporal organisation
of multiple cell types in immunology.
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