COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Statistics > Analysis of regularized inversion of data corrupted by white Gaussian noise

## Analysis of regularized inversion of data corrupted by white Gaussian noiseAdd to your list(s) Download to your calendar using vCal - Hanne Kekonnen
- Friday 20 October 2017, 16:00-17:00
- MR12.
If you have a question about this talk, please contact Quentin Berthet. Our aim is to provide new analytic insight to the relationship between the continuous and practical inversion models corrupted by white Gaussian noise. Let us consider an indirect noisy measurement M of a physical quantity u M = Au + d*N where A is linear smoothing operator and d > 0 is noise magnitude. If N was an L2-function we could use the classical Tikhonov regularization to achieve an estimate. However, realizations of white Gaussian noise are almost never in L2. That is why we present a modification of Tikhonov regularization theory covering the case of white Gaussian measurement noise. We will also consider the question in which space does the estimate convergence to a correct solution when the noise amplitude tends to zero and what is the speed of the convergence. This is joint work with Matti Lassas and Samuli Siltanen (University of Helsinki). This talk is part of the Statistics series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- Cambridge Forum of Science and Humanities
- Cambridge Language Sciences
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- Guy Emerson's list
- MR12
- Machine Learning
- School of Physical Sciences
- Statistical Laboratory info aggregator
- Statistics
- Statistics Group
- rp587
Note that ex-directory lists are not shown. |
## Other listsInstitution of Mechanical Engineers (Cambridgeshire Area) ee287's list Athena SWAN## Other talksCartilage by 3D bioprinting of iPS cells The structure of structure: how Kuhn establishes that science requires historical explanation Directed percolation transition to turbulence Systems approaches towards understanding temperature signalling in plants Oncological Imaging: radionuclide techniques Glucagon like peptide-1 receptor - a possible role for beta cell physiology in susceptibility to autoimmune diabetes |