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math.OC2023
Piecewise Linearity of Min-Norm Solution Map of a Nonconvexly Regularized Convex Sparse Model
Yi Zhang, Isao Yamada
It is well known that the minimum -norm solution of the convex LASSO model, say , is a continuous piecewise linear function of the regularization parame…
math.OC2023★ 2 cited
A variable smoothing for Nonconvexly constrained nonsmooth optimization with application to sparse spectral clustering
Keita Kume, Isao Yamada
We propose a variable smoothing algorithm for solving nonconvexly constrained nonsmooth optimization problems. The target problem has two issues that need to be addressed: (i) the…