A Bernstein–von-Mises theorem for the Calderón problem with piecewise constant conductivities. (1st January 2023)
- Record Type:
- Journal Article
- Title:
- A Bernstein–von-Mises theorem for the Calderón problem with piecewise constant conductivities. (1st January 2023)
- Main Title:
- A Bernstein–von-Mises theorem for the Calderón problem with piecewise constant conductivities
- Authors:
- Bohr, Jan
- Abstract:
- Abstract: This note considers a finite dimensional statistical model for the Calderón problem with piecewise constant conductivities. In this setting it is shown that injectivity of the forward map and its linearisation suffice to prove the invertibility of the information operator, resulting in a Bernstein–von-Mises theorem and optimality guarantees for estimation by Bayesian posterior means.
- Is Part Of:
- Inverse problems. Volume 39:Number 1(2023)
- Journal:
- Inverse problems
- Issue:
- Volume 39:Number 1(2023)
- Issue Display:
- Volume 39, Issue 1 (2023)
- Year:
- 2023
- Volume:
- 39
- Issue:
- 1
- Issue Sort Value:
- 2023-0039-0001-0000
- Page Start:
- Page End:
- Publication Date:
- 2023-01-01
- Subjects:
- Bayesian inverse problems -- Calderón problem -- severe ill-posedness
Inverse problems (Differential equations) -- Periodicals
515.357 - Journal URLs:
- http://iopscience.iop.org/0266-5611 ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6420/ac9db8 ↗
- Languages:
- English
- ISSNs:
- 0266-5611
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 24774.xml