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20102025
most citedSparse Principal Component Analysis via Variable Projection

163 citations · 704 across the 74 of their papers we have counts for

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Showing 2016 · math.OCShow all

6 papers · 2 filters

math.OC2016★ 7 cited

Generalized Kalman Smoothing: Modeling and Algorithms

A. Y. Aravkin, J. V. Burke, L. Ljung +2

State-space smoothing has found many applications in science and engineering. Under linear and Gaussian assumptions, smoothed estimates can be obtained using efficient recursions,…

math.OC2016★ 6 cited

Total-variation regularization strategies in full-waveform inversion

Ernie Esser, Lluis Guasch, Tristan van Leeuwen +2

We propose an extended full-waveform inversion formulation that includes general convex constraints on the model. Though the full problem is highly nonconvex, the overarching optim…

math.OC2016★ 5 cited

Beating level-set methods for 3D seismic data interpolation: a primal-dual alternating approach

Rajiv Kumar, Oscar López, Damek Davis +2

Acquisition cost is a crucial bottleneck for seismic workflows, and low-rank formulations for data interpolation allow practitioners to `fill in' data volumes from critically subsa…

math.OC2016

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…

math.OC2016

Level-set methods for convex optimization

Aleksandr Y. Aravkin, James V. Burke, Dmitriy Drusvyatskiy +2

Convex optimization problems arising in applications often have favorable objective functions and complicated constraints, thereby precluding first-order methods from being immedia…

math.OC2016★ 8 cited

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…