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math.OC2020★ 2 cited
Riemannian Stochastic Variance-Reduced Cubic Regularized Newton Method for Submanifold Optimization
Dewei Zhang, Sam Davanloo Tajbakhsh
We propose a stochastic variance-reduced cubic regularized Newton algorithm to optimize the finite-sum problem over a Riemannian submanifold of the Euclidean space. The proposed al…
math.OC2020★ 2 cited
A first-order optimization algorithm for statistical learning with hierarchical sparsity structure
Dewei Zhang, Yin Liu, Sam Davanloo Tajbakhsh
In many statistical learning problems, it is desired that the optimal solution conforms to an a priori known sparsity structure represented by a directed acyclic graph. Inducing su…