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DTSTART:19960101T000000 END:STANDARD BEGIN:STANDARD TZNAME:GMT TZOFFSETFROM:+0100 TZOFFSETTO:+0000 DTSTART:19961027T020000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20260624T175854Z DTSTART;VALUE=DATE-TIME:20110614T120000 DTEND;VALUE=DATE-TIME:20110614T130000 SUMMARY:MCMC using lessons from CSE TZID:Europe/London UID:20110614-094d43d5385c299a01386c3bd8c77277@warwick.ac.uk CREATED:20110404T114347Z DESCRIPTION:(Or: sample-based inference in large-scale inverse problems u sing algorithms developed for computational optimization) By Colin Fox A bstract: The Metropolis (Hastings-Green) algorithm for MCMC was invented in the 1950’s and has changed little since. In contrast\, algorithms for optimization that were also invented in the 1950’s have seen drama tic improvement. We look to steal the developments in computational opti mization and apply them to sampling of probability distributions. The co nnection between sampling and optimization is already close. For example \, Gibbs sampling of Gaussian distributions is exactly Gauss-Seidel solu tion of linear equations – the iteration operators are identical and c onvergence factors are identical. Polynomial acceleration developed for iterative solvers can also accelerate Gibbs sampling giving optimal conv ergence. I will show some applications in large-scale inverse problems t hat motivated this (ongoing) work\, including sample-based inference in image deblurring with non-negativity constraints computed using a sampli ng version of the gradient-projected conjugate gradient algorithm. organ ised by Andrew Stuart LUNCH TO BE SERVED IN COMPLEXITY's COMMON ROOM LOCATION:D1.07 URL:/fac/cross_fac/complexity/newsandevents/calendar /tbc ATTACH:/fac/cross_fac/complexity/newsandevents/calen dar/tbc CATEGORIES:Seminar Room D1.07 LAST-MODIFIED:20120709T145409Z ORGANIZER;CN="": END:VEVENT END:VCALENDAR