Students with a more theoretical inclination would be invited to investigate closely related mathematical problems which are motivated by the multiscale structure of the data. High dimensional optimization problems with many local extrema can be studied with powerful tools from variational calculus, such as Γ-convergence.
A systematic application of multiscale methods to Bayesian Statistics can provide a rigorous mathematical derivation of coarse grained variables that represent some of the most important information content of the data. A systematic exploration of this approach would be highly desirable and pave the way for treating many important related problems. deal applicants for the studentship will soon complete, or have completed a 4-year Mathematics education with a first class degree.
Enquiries: Dr Florian Theil, Mathematics Institute, Warwick University, firstname.lastname@example.org.
Deadline: July 25th, 2011