Check out this mini-symposium organized as part of the SIAM GS 2019 conference, and my contributed talk. ...display full article text

Practical Aspects of Large-scale Sparsity-promoting Seismic Inversion - Part I of II
Practical Aspects of Large-scale Sparsity-promoting Seismic Inversion - Part II of II
Challenges and Opportunities of Sparsity-promoting FWI

We present a powerful and easy-to-implement iterative algorithm for solving large-scale optimization problems that involve L1/total-variation (TV) regularization. The new method achieves fast convergence by trading off multiple applications of the modeling operator for the increased memory requirement of storing previous conjugate directions....display full article text

Maharramov, Levin. Compressive Conjugate Directions: Linear Theory (preprint in PDF)

We present a powerful and easy-to-implement algorithm for solving constrained optimization problems that involve L1/total-variation regularization terms, and both equality and inequality constraints....display full article text

Bound-constrained TV-regularized optimization

The referenced paper presents an analogue of the famous Kolmogorov-Petrovski-Piskunov Theorem proved by Musa Maharramov for a Quasilinear Parabolic Equation (see the picture in the left pane). This paper has been presented by the author at a conference organised by the Siberian Department of the Russian Academy of Sciences in honour of Academician Lavrentyev.

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The referenced paper contains details of the proof of the statement presented in the paper above and some results of numerical modelling.

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