Dr Thomas Taimre

Lecturer
Located in Building 67 - Room 451
Phone: 52313

Available Projects

Title Body Level
Exploring the Phase Transition in Inhomogeneous Random Graphs

In 2007, B. Bollobas, S. Janson, and O. Riordan published an important paper titled ``The Phase Transition in Inhomogeneous Random Graphs,'' which gives properties of a very...

Honours Project
Summer Project
Dynamic Spatial Network Models

Random networks are often modelled without reference the particular space which they inhabit.  There is some work in this area (for example Penrose’s Random Geometric...

PhD Project
Masters Project
Weighted Network Models

In many social networks, selection of friends on the basis of social status is very common. Similarly, websites may link to more popular websites in the hope of gaining more traffic. Simple models of these phenomena, where the benefits of connection vary according to some metric (for example...

PhD Project
Masters Project
Self-Organizing Phenomena in Real-World Networks

Many networks from crystalline lattices to social networks display so-called self-organizing phenomena. This essentially means that global order or chaos can emerge from simple local rules.  Particular interest has been paid to these phenomena in light of residential segregation in the US...

PhD Project
Masters Project
Efficient Simulation of Random Networks

The properties of complex networks are difficult to study without the aid of simulation, and so efficient and reliable simulation techniques for random networks are of great interest.  Two such methods are degree distributions and graph motifs.

In this project, you will investigate...

Honours Project
Summer Project
Empirical Study of Stochastic Network Games

Stochastic game theory is the study of strategic interactions between actors in an environment where their payoffs are affected by the actions of all players in the past.

In this project, you will investigate in simulation simple models for stochastic network games, where the environment...

Honours Project
Summer Project
Estimation and Inference on Random Networks

Social, economic, and infrastructure networks are crucially important to today's increasingly connected world.  In this project you will investigate how to estimate models of dynamic networks and conduct inference for these...

Honours Project
Summer Project
Efficient Simulation for the Poisson Lily-Pond Model

The Poisson lily-pond model is a spatial germ--grain process, whose ``germs'' are points of a Poisson process with ``grains'' growing at uniform rate from these germs, stopping when their boundaries touch.  While some results regarding the size of the largest connected...

Honours Project
Summer Project
Importance Sampling for Diffusion Processes via Path-Dependent Mapping

A diffusion process on a Riemannian manifold has infinitesimal generator which is fundamentally related to the Laplace--Beltrami operator on that manifold.  For a...

Masters Project
Honours Project
Efficient Parameter Estimation for Signals from Laser Interferometers

The excess-phase model for interferometric signals is a simple model which well captures much of the complex behaviour observed in laser interferometers. ...

Honours Project
Summer Project
Sequential Importance Sampling with Mixture Models

Mixture models are a powerful tool for many statistical applications, including density estimation from data.  
This project focuses on using mixture models in sequential or on-line importance sampling.  A specific application of interest is to the estimation of rare events,...

Honours Project
Summer Project
Numerically Stable Simulation of Stochastic Differential Equations Driven by Empirical Processes

Stochastic differential equations driven by Brownian motion or L\'evy processes are well established as models for many real-world phenomena.  Just as there are efficient...

Masters Project
Honours Project
Efficient Estimation for Heavy-tailed Random Sums of Light-Tailed Random Variables

Random sums of random variables arise in many contexts of applied probability such as the probability of buffer overflow in queues, or when considering the probability of ruin for risk models.  When such quantities of interest cannot be evaluated precisely, there are many well established...

Masters Project
Honours Project