1 citations · 1 across the 9 of their papers we have counts for
9 papers
An Inexact Riemannian Proximal Momentum Variance-Reduced Method: Complexity Bounds and KL Sequential Convergence
Na Zhang
We develop a unified analysis of inexact stochastic Riemannian proximal optimization for finite-sum nonsmooth composite problems over compact embedded submanifolds. The framework a…
An efficient proximal algorithm for squared L1 over L2 regularized sparse recovery
Na Zhang, Hong Chen, Qia Li +1
In this paper, we consider a squared regularized model for sparse signal recovery from noisy measurements. We first establish the existence of optimal solutions to the mo…
A min-max reformulation and proximal algorithms for a class of structured nonsmooth fractional optimization problems
Junpeng Zhou, Na Zhang, Qia Li
In this paper, we consider a class of structured nonsmooth fractional minimization, where the first part of the objective is the ratio of a nonnegative nonsmooth nonconvex function…
Proximal methods for structured nonsmooth optimization over Riemannian submanifolds
Qia Li, Na Zhang, Junyu Feng +1
In this paper, we consider a class of structured nonsmooth optimization problems over an embedded submanifold of a Euclidean space, where the first part of the objective is the sum…
An equivalent reformulation and multi-proximity gradient algorithms for a class of nonsmooth fractional programming
Junpeng Zhou, Na Zhang, Qia Li
In this paper, we consider a class of structured fractional programs, where the numerator part is the sum of a block-separable (possibly nonsmooth nonconvex) function and a locally…
A Successive Two-stage Method for Sparse Generalized Eigenvalue Problems
Qia Li, Jianmin Liao, Lixin Shen +1
The Sparse Generalized Eigenvalue Problem (sGEP), a pervasive challenge in statistical learning methods including sparse principal component analysis, sparse Fisher's discriminant…
Parameterized proximal-gradient algorithms for L1/L2 sparse signal recovery
Na Zhang, Xinrui Liu, Qia Li
The ratio of L1 and L2 norms (L1/L2), serving as a sparse promoting function, receives considerable attentions recently due to its effectiveness for sparse signal recovery. In this…
On Minkowskian Product of Finsler Manifolds
Jiahui Li, Yong He, Chang Tian +1
Let (M_1,F_1) and (M_2,F_2) be a pair of Finsler manifolds. The Minkowskian product Finsler manifold (M,F) of (M_1,F_1) and (M_2,F_2) with respect to a product function f is the pr…
On the Quenched Functional Central Limit Theorem for Stationary Random Fields under Projective Criteria
Lucas Reding, Na Zhang
In this work we study and establish some quenched functional Central Limit Theorems (CLTs) for stationary random fields under a projective criteria. These results are functional ge…