Showing math.OCShow all
3 papers · 1 filter
math.OC2018
Basis Pursuit Denoise with Nonsmooth Constraints
Robert Baraldi, Rajiv Kumar, Aleksandr Aravkin
Level-set optimization formulations with data-driven constraints minimize a regularization functional subject to matching observations to a given error level. These formulations ar…
math.OC2018
Relaxation algorithms for matrix completion, with applications to seismic travel-time data interpolation
Robert Baraldi, Carl Ulberg, Rajiv Kumar +2
Travel time tomography is used to infer the underlying three-dimensional wavespeed structure of the Earth by fitting seismic travel time data collected at surface stations. Data in…
math.OC2018
Simultaneous shot inversion for nonuniform geometries using fast data interpolation
Michelle Liu, Rajiv Kumar, Eldad Haber +1
Stochastic optimization is key to efficient inversion in PDE-constrained optimization. Using 'simultaneous shots', or random superposition of source terms, works very well in simpl…