P 2: a robust and rotationally invariant shape descriptor with applications to mesh saliencyApplied Mathematics-A Journal of Chinese Universities - Tập 31 - Trang 53-67 - 2016
Xian-yong Liu, Li-zhuang Ma, Li-gang Liu
This work presents a robust and rotationally invariant shape descriptor, namely
perception pronouncement (called P 2), to mathematically model the eye
fixations. P 2 takes two criteria – the local consideration of surface curvature
and the global consideration of viewindependent visibility – into account.
Differing from existing works that often computed the intrinsic surface property
of visibilit... hiện toàn bộ
Empirical likelihood for linear models under m-dependent errorsApplied Mathematics-A Journal of Chinese Universities - Tập 20 - Trang 205-212 - 2005
Qin Yongsong, Jiang Bo, Li Yufang
In this paper, the empirical likelihood confidence regions for the regression
coefficient in a linear model are constructed under m-dependent errors. It is
shown that the blockwise empirical likelihood is a good way to deal with
dependent samples.
Constructive characterizations of (γ p , γ)- and (γ p , γ pr )-treesApplied Mathematics-A Journal of Chinese Universities - Tập 23 - Trang 475-480 - 2008
Lei Chen, Chang-hong Lu, Zhen-bing Zeng
Let G = (V, E) be a graph without isolated vertices. A set S ⊆ V is a domination
set of G if every vertex in V - S is adjacent to a vertex in S, that is N[S] =
V. The domination number of G, denoted by γ(G), is the minimum cardinality of a
domination set of G. A set S ⊆ V is a paired-domination set of G if S is a
domination set of G and the induced subgraph G[S] has a perfect matching. The
paired-... hiện toàn bộ
Exponential martingale for compound Poisson process with latent variable and its applicationsApplied Mathematics-A Journal of Chinese Universities - Tập 30 - Trang 210-216 - 2015
Jun Yan
In this article, we construct an exponential martingale for the compound Poisson
process with latent variable. With the help of this exponential martingale, we
provide an asymptotic behavior of the coherent entropic risk measure for the
compound Poisson process and a deviation inequality for the ruin probability of
the partly shifted risk process.
Ideal cotorsion pairs over one point extensionsApplied Mathematics-A Journal of Chinese Universities - Tập 37 - Trang 213-227 - 2022
Hai-yan Zhu, Ben-jun Du, Qi-kai Wang
Let R[P] be the one point extension of a k-algebra R by a projective R-module P.
We prove that the extension of a complete ideal cotorsion pair in R-Mod is still
a complete ideal cotorsion pair in R[P]-Mod. As an application, it is obtainable
that the operation (−)m [P] satisfies the so-called distributive law relating
the operations of products and extensions of ideals under appropriate
condition... hiện toàn bộ
Phase retrieval with PhaseLift algorithmApplied Mathematics-A Journal of Chinese Universities - Tập 35 - Trang 479-502 - 2020
Hui-ping Li, Song Li
This paper provides a contemporary overview of phase retrieval problem with
PhaseLift algorithm and summarizes theoretical results which have been derived
during the past few years. Based on the lifting technique, the phase retrieval
problem can be transformed into the low rank matrix recovery problem and then be
solved by convex programming known as PhaseLift. Thus, stable guarantees for
such pro... hiện toàn bộ
L p (R n )-Boundedness of certain commutatorsApplied Mathematics-A Journal of Chinese Universities - Tập 25 - Trang 185-191 - 2010
Yan-mei Di, Li-ya Jiang
In this paper, the L p (R n )-boundedness of the commutators generalized by
BMO(R n ) function and the singular integral operator T with rough kernel Ω ∈ L
log+ L(S n−1) is proved by using the Bony’s formula for the paraproduct of two
functions.... hiện toàn bộ