4 papers
A Unified Framework for Solving a General Class of Nonconvexly Regularized Convex Models
Yi Zhang, Isao Yamada
Recently, several nonconvex sparse regularizers which can preserve the convexity of the cost function have received increasing attention. This paper proposes a general class of suc…
On the structure of optimal solutions in a mathematical programming problem in a convex space
Alexey Piunovskiy, Yi Zhang
We consider an optimization problem in a convex space with an affine objective function, subject to constraints in the forms of inequalities on some other affine functions,…
Log-concavity and log-convexity of series containing multiple Pochhammer symbols
Dmitrii Karp, Yi Zhang
In this paper, we study power series with coefficients equal to a product of a generic sequence and an explicitly given function of a positive parameter expressible in terms of the…
An Inexact Proximal Linearized DC Algorithm with Provably Terminating Inner Loop
Yi Zhang, Isao Yamada
Standard approaches to difference-of-convex (DC) programs require exact solution to a convex subproblem at each iteration, which generally requires noiseless computation and infini…