91 citations · 293 across the 30 of their papers we have counts for
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An Analysis of Constraint-Relaxation in PDE-Based Inverse Problems
Tristan van Leeuwen, Yunan Yang
Inverse problems are ubiquitous in science and engineering. Many of these are naturally formulated as a PDE-constrained optimization problem. These non-linear, large-scale, constra…
A note on extended full waveform inversion
Tristan van Leeuwen
Full waveform inversion (FWI) aims at estimating subsurface medium properties from measured seismic data. It is usually cast as a non-linear least-squares problem that incorporates…
Efficient quadratic penalization through the partial minimization technique
Aleksandr Y. Aravkin, Dmitriy Drusvyatskiy, Tristan van Leeuwen
Common computational problems, such as parameter estimation in dynamic models and PDE constrained optimization, require data fitting over a set of auxiliary parameters subject to p…
Non-smooth Variable Projection
Tristan van Leeuwen, Aleksandr Aravkin
Variable projection solves structured optimization problems by completely minimizing over a subset of the variables while iterating over the remaining variables. Over the last 30 y…