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math.OC2026
A New Decomposition Paradigm for Graph-structured Nonlinear Programs via Message Passing
Kuangyu Ding, Marie Maros, Gesualdo Scutari
We study finite-sum nonlinear programs with localized variable coupling encoded by a (hyper)graph. We introduce a graph-compliant decomposition framework that brings message passin…
math.OC2025
On exploration of an interior mirror descent flow for stochastic nonconvex constrained problem
Kuangyu Ding, Kim-Chuan Toh
We study a nonsmooth nonconvex optimization problem defined over nonconvex constraints, where the feasible set is given by the intersection of the closure of an open set and a smoo…