Bayesian inference in infinite dimensions
- đ¤ Speaker: Aad van der Vaart (Delft)
- đ Date & Time: Thursday 04 May 2023, 17:00 - 18:00
- đ Venue: MR2, CMS
Abstract
The Bayesian statistical method consists of updating a prior probability distribution over the unknown parameters of a stochastic system into a posterior probability distribution after seeing the system’s output. It is perhaps the oldest statistical paradigm, going back to the 18th century, in abstract terms as straightforward and elegant as can be, and with the promise of not only giving a best guess of the system parameters, but also a quantification of remaining uncertainty. Only in the last two decades has the method been applied to infinite-dimensional parameters, most recently to inverse problems defined e.g. by PDEs or in machine learning. We discuss some of the mathematical issues, with a main focus on the question whether the method works and when, and how we can define “works”. We review some classical success stories and recent findings and open questions, borrowing from our own work and that of others.
The talk will be followed by a wine reception in the Central Core CMS
Series This talk is part of the Mordell Lectures series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- Cambridge Centre for Data-Driven Discovery (C2D3)
- Cambridge talks
- CCIMI
- CCIMI Seminars
- Centre for Health Leadership and Enterprise
- Chris Davis' list
- CMS Events
- custom
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Faculty of Mathematics Lectures
- Featured lists
- Featured talks
- Guy Emerson's list
- Hanchen DaDaDash
- Interested Talks
- Major Public Lectures in Cambridge
- Mordell Lectures
- MR2, CMS
- ndk22's list
- Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
- ob366-ai4er
- personal list
- rp587
- School of Physical Sciences
- Statistical Laboratory info aggregator
- Trust & Technology Initiative - interesting events
- yk449
Note: Ex-directory lists are not shown.
![[Talks.cam]](/static/images/talkslogosmall.gif)

Aad van der Vaart (Delft)
Thursday 04 May 2023, 17:00-18:00