• The coupling time for the Ising heat-bath dynamics & efficient optimization for statistical inference 

  Hyndman, Timothy Luke (2019)

  In this thesis we consider two separate topics of study. The first topic concerns the Ising heat-bath Glaubers dynamics. These dynamics describe a continuous time Markov chain, whose states are assignments of spins to each ...

• The morphology and evolution of rock coasts over eustatic cycles in temperate, wave dominated environments 

  Bezore, Rhiannon (2019)

  Rock coasts comprise 80% of the world’s shorelines and about 50% of the Victorian coast. Their morphology and evolution over time is the result of marine and subaerial erosional processes that carve features such as sea ...

• An explained sum of squares approach to nonparametric regression with measurement error 

  Tran, Jason Gia-Son (2019)

  We introduce a new method in nonparametric regression problems in the presence of measurement error, known as the explained sum of squares. We discuss its theoretical properties and provide evidence of practical application ...

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