48 citations · 199 across the 83 of their papers we have counts for
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A mirror inertial forward-reflected-backward splitting: Global convergence and linesearch extension beyond convexity and Lipschitz smoothness
Ziyuan Wang, Andreas Themelis, Hongjia Ou +1
This work investigates a Bregman and inertial extension of the forward-reflected-backward algorithm [Y. Malitsky and M. Tam, SIAM J. Optim., 30 (2020), pp. 1451--1472] applied to s…
A Bregman inertial forward-reflected-backward method for nonconvex minimization
Xianfu Wang, Ziyuan Wang
We propose a Bregman inertial forward-reflected-backward (BiFRB) method for nonconvex composite problems. Our analysis relies on a novel approach that imposes general conditions on…
On Carlier's inequality
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
The Fenchel-Young inequality is fundamental in Convex Analysis and Optimization. It states that the difference between certain function values of two vectors and their inner produc…
Projecting onto rectangular hyperbolic paraboloids in Hilbert space
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
In , a hyperbolic paraboloid is a classical saddle-shaped quadric surface. Recently, Elser has modeled problems arising in Deep Learning using rectangular hyperbolic…
The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
Finding a zero of a sum of maximally monotone operators is a fundamental problem in modern optimization and nonsmooth analysis. Assuming that the resolvents of the operators are av…
Roots of the identity operator and proximal mappings: (classical and phantom) cycles and gap vectors
Heinz H. Bauschke, Xianfu Wang
Recently, Simons provided a lemma for a support function of a closed convex set in a general Hilbert space and used it to prove the geometry conjecture on cycles of projections. In…