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math.OC2019★ 3 cited
Polar Alignment and Atomic Decomposition
Zhenan Fan, Halyun Jeong, Yifan Sun +1
Structured optimization uses a prescribed set of atoms to assemble a solution that fits a model to data. Polarity, which extends the familiar notion of orthogonality from linear se…
math.OC2019
Bundle methods for dual atomic pursuit
Zhenan Fan, Yifan Sun, Michael P. Friedlander
The aim of structured optimization is to assemble a solution, using a given set of (possibly uncountably infinite) atoms, to fit a model to data. A two-stage algorithm based on gau…