1 citations · 2 across the 6 of their papers we have counts for
6 papers
Dimension-free estimates for covering functionals of simplices and balls
Feifei Chen, Chan He, Senlin Wu
We study \(Γ_{2^n}(K)\), the least positive number \(γ>0\) such that an \(n\)-dimensional convex body \(K\) can be covered by \(2^n\) translates of \(γK\). For \(n\)-simplices \(Δ_…
Homogeneous second-order descent framework: a fast alternative to Newton-type methods
Chang He, Yuntian Jiang, Chuwen Zhang +3
This paper proposes a homogeneous second-order descent framework (HSODF) for nonconvex and convex optimization based on the generalized homogeneous model (GHM). In comparison to th…
A homogeneous second-order descent method for nonconvex optimization
Chuwen Zhang, Dongdong Ge, Chang He +4
In this paper, we introduce a Homogeneous Second-Order Descent Method (HSODM) using the homogenized quadratic approximation to the original function. The merit of homogenization is…
Quaternion matrix decomposition and its theoretical implications
Chang He, Bo Jiang, Xihua Zhu
This paper proposes a novel matrix rank-one decomposition for quaternion Hermitian matrices, which admits a stronger property than the previous results in (sturm2003cones,huang2007…
Homothetic covering of convex hulls of compact convex sets
Senlin Wu, Keke Zhang, Chan He
Let be a compact convex set and be a positive integer. The covering functional of with respect to is the smallest such that can be covered by tr…
Uniqueness of completions and related topics
Chan He, Horst Martini, Senlin Wu
A bounded subset of a normed linear space is said to be (diametrically) complete if it cannot be enlarged without increasing the diameter. A complete super set of a bounded set …