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09 Feb 2018, 13:00 - 14:00
Michael Sterling 362
Speaker: Karthik Bharath (Nottingham)
Alignment of functional or curve data in the presence of important landmark information is integral to analysis of biomedical data. I will discuss a sampling scheme for warp maps used in alignment of open and closed curves, possibly with landmark constraints. The scheme provides a point process-based constructive definition of a probability measure on the set of warp maps of [0, 1] and the unit circle. The measure is used (i) as a proposal distribution in a stochastic algorithm to solve a variational formulation of curve alignment, and (ii) as a prior on warp maps in a Bayesian model for alignment.