4 papers
From Manifold Identification to Newton Acceleration on Intersections: Sparse Stiefel Optimization
Shixiang Chen, Wen Huang
We study a Newton acceleration for sparse composite optimization on the Stiefel manifold. The main difficulty is geometric: the active manifold identified by the nonsmooth regulari…
A globally and superlinearly convergent QO-free method for nonlinear optimization on Riemannian manifolds
Chunming Tang, Hao He, Wen Huang +2
The quadratic optimization-free (QO-free) method is a class of powerful and effective algorithms for solving nonlinearly constrained optimization problems in Euclidean spaces. The…
Diffeomorphic Logarithm of Special Orthogonal Matrices
Zhifeng Deng, P. -A. Absil, Kyle A. Gallivan +1
The special orthogonal group is a Lie group whose geometry and local structure are encoded by the exponential map in its Lie algebra , the set of s…
Retractions by Alternating Projections
Shixiang Chen, Yixiao He, Wen Huang
Alternating projections and their variants are classical tools for computing points in intersections of sets. Existing analyses for smooth manifolds mainly focus on local convergen…