6 papers
Generalized Geometry Block Proximal Linearized Method for Multiblock Nonconvex and Nonsmooth Optimization
Weifeng Yang
This paper considers a class of multiblock nonconvex and nonsmooth optimization problems arising in many applications. Existing methods construct proximal linearized operators or t…
Nonmaximal sums of maximally monotone operators under Rockafellar's constraint qualification
Weifeng Yang
We construct counterexamples to Rockafellar's sum conjecture in which two maximally monotone operators satisfy the interior-domain condition but their sum is not maximally monotone…
Sharp Lower Bounds on the Haraux Function Beyond Reflexivity
Weifeng Yang
We prove that the sharp lower bound for the Haraux function holds for every maximally monotone operator of type~(NI) on an arbitrary real Banach space. This extends t…
An Inertial Block Proximal Linearized Method with Adaptive Momentum for Nonconvex and Nonsmooth Optimization
Weifeng Yang
In this paper, we consider a class of multiblock nonconvex nonsmooth optimization problems, which covers many applications such as the analysis of pre-earthquake anomalies and mach…
Globally Convergent Accelerated Algorithms for Multilinear Sparse Logistic Regression with -constraints
Weifeng Yang, Wenwen Min
Tensor data represents a multidimensional array. Regression methods based on low-rank tensor decomposition leverage structural information to reduce the parameter count. Multilinea…
An Accelerated Block Proximal Framework with Adaptive Momentum for Nonconvex and Nonsmooth Optimization
Weifeng Yang, Wenwen Min
We propose an accelerated block proximal linear framework with adaptive momentum (ABPL) for nonconvex and nonsmooth optimization. We analyze the potential causes of the extrapo…