Dr Michelle Carey is a Lecturer/Assistant Professor in Statistics at University College Dublin. She is a graduate of the University of Limerick (UL) with a BSc in Financial Mathematics and received her PhD in Statistics from UL in 2012.
In 2011, she joined the Department of Accounting and Finance, Kemmy Business School, UL as a Lecturer in Finance. In 2013, she started a postdoctoral fellowship in biostatistics at the Department of Biostatistics and Computational Biology in the University of Rochester School of Medicine and Dentistry, Rochester, New York, USA. During her postdoc, she researched the evolution of biological systems in terms of differential equations under the direction of Prof Hulin Wu a prominent expert in biostatistics and data science. In 2015, she started a postdoctoral fellowship in statistics at the Department of Mathematics and Statistics, McGill University, Montreal, Canada. During her postdoc, she researched statistical methods for the analysis of functional data under the direction of the internationally acclaimed founder of functional data analysis, Prof James O. Ramsay, and a leading authority in the field of multivariate analysis, nonparametric statistics and extreme-value theory Prof Christian Genest. In 2017, she joined the School of Mathematics and Statistics at the University College Dublin, Ireland. Michelle is a member of the UCD Energy Institute, UCD Centre for Bioinformatics and the VistaMilk SFI Research Centre.
Michelle's research combines statistics and applied mathematics. It involves the development of advanced statistical and numerical methods for the analysis of functional data in climatology, medicine, finance and agriculture.
Applied Mathematics: Differential Equation Models
Differential equation models are theoretically built mechanistic models for complex systems. A single differential equation model can describe a wide variety of behaviours including oscillations, steady states and exponential growth and decay, with few but readily interpretable parameters. Consequently, differential equation models are routinely used in describing chemical reaction dynamics, predator-prey interactions, heat transfer, economic growth, epidemiological outbreaks, climate and weather prediction, gene regulatory pathways etc.
Statistics: Functional Data Analysis
Functional data analysis (FDA) is a branch of statistics that analyzes data providing information about curves (denoting a process that varies over time or space) or surfaces (denoting a process that varies over space and time). In classical multivariate statistics, we take multiple measurements for each subject, e.g. height, weight, and age. Functional data is multivariate data with an ordering on the dimensions for example measurements for each subjects height, weight, and age measured at various points in time. The key assumption is that the dependence between the measurements is a smooth process (each subjects' height today is similar to their height tomorrow).
FDA allows us to acquire:
- Representations of the distribution of the functions that is their mean, variation, and covariation.
- Relationships of functional data to covariates, responses, or other functions.
- Relationships between derivatives of functions (differential equations).
PhD Funding Opportunities
SFI Centre for Research Training in Foundations of Data Science.
I am a named supervisor in SFI Centre for Research Training in Foundations of Data Science. This large-scale collaborative initiative between the University of Limerick (UL), University College Dublin (UCD) and Maynooth University (MU) will train a cohort of PhD students with a world-class foundational understanding in the horizontal themes of Applied Mathematics, Statistics, and Machine Learning. These fundamental themes will be fused together by applying them to real-world challenges in vertical themes including Data Analytics, Privacy & Security, Smart Manufacturing, Networks, and Health & Wellbeing. Students will have work placements in relevant industries to develop cognisance of industry requirements, important transversal skills, diversity and research impact. Academic placements in internationally renowned collaborating institutions will be available and students will benefit from exposure to Ireland's world-class research universities.
An application portal will open on the website www.data-science.ie on the 13th of January and will accept applications from interested parties until the 8th of March, with the 2020 cohort commencing in September.
SFI Centre for Research Training in Genomics Data Science
I am a supervisor in SFI Centre for Research Training in Genomics Data Science. The SFI Centre for Research Training in Genomics Data Science is a PhD training programme, linking together approx. 90 genomics data science group leaders based at six Irish institutions. Expertise within the group spans from statistical modelling and machine learning to the full range of application of genomics. This Research Centre is focussed on 7 Research Themes:
Recruitment for the 2020 cohort of students is now open. Students recruited to the programme will start in September 2020. An application portal is open on the website https://genomicsdatascience.ie/ and will accept applications from interested parties until the 12th January 2020, with the 2020 cohort commencing in September.