Research Area: I am primarily interested in solving large scale optimization problems, in particular those related to inverse problems. I am also interested in dimensionality reduction techniques, stochastic PDE-constrained optimization, and Compressed Sensing and its generalizations, among other topics.
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, “A unified 2D/3D large scale software environment for nonlinear inverse problems”, ACM Transactions on Mathematical Software, 2019.
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, “Uncertainty quantification for inverse problems with weak partial-differential-equation constraints”, Geophysics, vol. 83, pp. R629-R647, 2018.
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, “Large-scale optimization algorithms for missing data completion and inverse problems”, The University of British Columbia, Vancouver, 2017.
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, “Massive 3D seismic data compression and inversion with hierarchical Tucker”, in SEG Technical Program Expanded Abstracts, 2017, pp. 1347-1352.
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, “An efficient penalty method for PDE-constrained optimization problem with source estimation and stochastic optimization”, in Applied Inverse Problems Annual Conference Proceedings, 2017, p. 40.
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, “Uncertainty quantification for inverse problems with a weak wave-equation constraint”, in WAVES 2017 –- 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, 2017, pp. 127-128.
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, “Domain-specific abstractions for full-waveform inversion”, in SIAM Conference on Computational Science and Engineering, 2017.
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, “Massive seismic data compression & recovery w/ on-the-fly data extraction”, SINBAD Fall consortium talks. SINBAD, 2017.
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, “Uncertainty quantification for Wavefield Reconstruction Inversion using a PDE free semidefinite Hessian and randomize-then-optimize method”, in SEG Technical Program Expanded Abstracts, 2016, pp. 1390-1394.
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, “A unified 2D/3D software environment for large scale time-harmonic full waveform inversion”, in SEG Technical Program Expanded Abstracts, 2016, pp. 1169-1173.
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, “Efficient approach for quantifying uncertainty of wavefield reconstruction inversion”, SINBAD Fall consortium talks. SINBAD, 2016.
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, “A unified 2D/3D software environment for large scale time-harmonic full waveform inversion”, SINBAD Fall consortium talks. SINBAD, 2016.
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, “Composite convex smooth optimization with seismic data processing applications”, SINBAD Fall consortium talks. SINBAD, 2016.
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, “Low-rank methods for on-the-fly slicing & dicing of seismic data & image volumes”, SINBAD Fall consortium talks. SINBAD, 2016.
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, “SVD-free matrix completion in randomized marine acquisition”, in SEG Workshop on Rank-Reduction and Other Sparse Transform Methods with Application to Data Reconstruction, De-Noising, De-Blending and Imaging; New Orleans, 2015.
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, “Efficient matrix completion for seismic data reconstruction”, Geophysics, vol. 80, pp. V97-V114, 2015.
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, “Optimization on the Hierarchical Tucker manifold - applications to tensor completion”, Linear Algebra and its Applications, vol. 481, pp. 131-173, 2015.
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, “Software and workflows at SLIM/SINBAD”, in Inaugural Full-Waveform Inversion Workshop, 2015.
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, “Rank minimization based seismic data processing and inversion”, in Inaugural Full-Waveform Inversion Workshop, 2015.