66 citations · 450 across the 76 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.OC2024
Improved global performance guarantees of second-order methods in convex minimization
Pavel Dvurechensky, Yurii Nesterov
In this paper, we attempt to compare two distinct branches of research on second-order optimization methods. The first one studies self-concordant functions and barriers, the main…
math.OC2024★ 1 cited
Barrier Algorithms for Constrained Non-Convex Optimization
Pavel Dvurechensky, Mathias Staudigl
In this paper we theoretically show that interior-point methods based on self-concordant barriers possess favorable global complexity beyond their standard application area of conv…
math.OC2024
Analysis of Kernel Mirror Prox for Measure Optimization
Pavel Dvurechensky, Jia-Jie Zhu
By choosing a suitable function space as the dual to the non-negative measure cone, we study in a unified framework a class of functional saddle-point optimization problems, which…