1 citations · 1 across the 6 of their papers we have counts for
13 papers
Rate-Constrained Shaping Codes for Finite-State Channels With Cost
Yi Liu, Yonglong Li, Pengfei Huang +1
Shaping codes are used to generate code sequences in which the symbols obey a prescribed probability distribution. They arise naturally in the context of source coding for noiseles…
The decompositions and positive semidefiniteness of fourth-order conjugate partial-symmetric tensors with applications
Pengfei Huang, Qingzhi Yang
Conjugate partial-symmetric (CPS) tensor is a generalization of Hermitian matrices. For the CPS tensor decomposition some properties are presented. For real CPS tensors in particul…
Newton-based methods for finding the positive ground state of Gross-Pitaevskii equations
Pengfei Huang, Qingzhi Yang
The discretization of Gross-Pitaevskii equations (GPE) leads to a nonlinear eigenvalue problem with eigenvector nonlinearity (NEPv). In this paper, we use two Newton-based methods…
Curvature formulas related to a family of stable Higgs bundles
Zhi Hu, Pengfei Huang
In this paper, we investigate the geometry of the base complex manifold of an effectively parametrized holomorphic family of stable Higgs bundles over a fixed compact Kähler manifo…
Simpson Filtration and Oper Stratum Conjecture
Zhi Hu, Pengfei Huang
In this paper, we prove that for the oper stratification of the de Rham moduli space , the closed oper stratum is the unique minimal stratum with dimension $r…
Finding the Global Optimum of a Class of Quartic Minimization Problem
Pengfei Huang, Qingzhi Yang, Yuning Yang
We consider a special nonconvex quartic minimization problem over a single spherical constraint, which includes the discretized energy functional minimization problem of non-rotati…