3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.OC2018★ 3 cited
Composite Convex Optimization with Global and Local Inexact Oracles
Tianxiao Sun, Ion Necoara, Quoc Tran-Dinh
We introduce new global and local inexact oracle concepts for a wide class of convex functions in composite convex minimization. Such inexact oracles naturally come from primal-dua…
math.OC2017
Self-concordant inclusions: A unified framework for path-following generalized Newton-type algorithms
Quoc Tran-Dinh, Tianxiao Sun, Shu Lu
We study a class of monotone inclusions called "self-concordant inclusion" which covers three fundamental convex optimization formulations as special cases. We develop a new genera…
math.OC2017★ 2 cited
Generalized Self-Concordant Functions: A Recipe for Newton-Type Methods
Tianxiao Sun, Quoc Tran-Dinh
We study the smooth structure of convex functions by generalizing a powerful concept so-called self-concordance introduced by Nesterov and Nemirovskii in the early 1990s to a broad…