Vegard Antun

Image of Vegard Antun
Norwegian version of this page
Mobile phone +47 91553728
Room 1005
Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 OSLO
Postal address Postboks 1053 Blindern 0316 Oslo

Due to COVID 19 restrictions, I am only present at the office Mondays, Wednesdays and Fridays.

Academic interests

Inverse problems, compressive imaging, wavelets, deep learning, neural networks.

For more information see my webpage.



  • M. Colbrook, V. Antun, A. C. Hansen. Can stable and accurate neural networks be computed? - On the barriers of deep learning and Smale's 18th problem, [arXiv].
  • N. Gottschling, V. Antun, B. Adcock, A. C. Hansen. The troublesome kernel: why deep learning for inverse problems is typically unstable, [arXiv].
  • V. Antun, Ø. Ryan. On the unification of schemes for wavelets on the interval [Preprint] [Technical report]
  • L. Thesing, V. Antun, A. C. Hansen. What do AI algorithms actually learn? - On false structures in deep learning, [arXiv].

Refereed Conference Articles

  • M. Colbrook, V. Antun, A. C. Hansen. On the existence of stable and accurate neural networks for image reconstruction, Signal Processing with Adaptive Sparse Structured
    Representations (SPARS), 2019, [PDF]. 

PhD Thesis

  • V. Antun. Stability and accuracy in compressive sensing and deep learning [pdf].

Slides from selected talks

- How intelligent is artificial intelligence ? - On the surprising and mysterious secrets of deep learning (23. May 2019) link.

- A Practical Guide to Deep Learning at the Department of Mathematics (March 2019) slidescode.
- Trends in mathematics of information (16. May 2018) link.

Courses taught

Tags: Mathematics, Computational Mathematics
Published Aug. 22, 2016 4:24 PM - Last modified Apr. 18, 2021 10:56 PM

Research groups