4 papers
A nonmonotone extrapolated proximal gradient-subgradient algorithm beyond global Lipschitz gradient continuity
Lei Yang, Jingjing Hu, Tianxiang Liu
With the advancement of modern applications, an increasing number of composite optimization problems arise whose smooth component does not possess a globally Lipschitz continuous g…
Concrete convergence rates for common fixed point problems under Karamata regularity
Tianxiang Liu, Bruno F. Lourenço
We introduce the notion of Karamata regular operators, which is a notion of regularity that is suitable for obtaining concrete convergence rates for common fixed point problems. Th…
On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian
Radu I. Boţ, Minh N. Dao, Tianxiang Liu +2
It is known that if a twice differentiable function has a Lipschitz continuous Hessian, then its gradients satisfy a Jensen-type inequality. In particular, this inequality is Hessi…
A new dual spectral projected gradient method for log-determinant semidefinite programming with hidden clustering structures
Charles Namchaisiri, Tianxiang Liu, Makoto Yamashita
In this paper, we propose a new efficient method for a sparse Gaussian graphical model with hidden clustering structures by extending a dual spectral projected gradient (DSPG) meth…