Supported by NSFC(Nos.12171089,12271235);NSF of Fujian Province(No.2021J02048)。
A graph G possesses Hamiltonian s-properties when G is Hamilton-connected if s=1,Hamiltonian if s=0,and traceable if s=-1.Let S_A(G)=λ_n(G)-λ_1(G)and S_L(G)=μ_n(G)-μ_2(G)be the spread and the Laplacian spread of G...
The Laplacian of a function measures the difference between the value of the function at a point and its average around that point. It is a differential operator appears in many differential equations describing many ...
supported by National Science Foundation DMS-1913120.
The monotonicity of discrete Laplacian, i.e., inverse positivity of stiffness matrix, implies discrete maximum principle, which is in general not true for high order accurate schemes on unstructured meshes. On the oth...
Guangxi Key Laboratory of Machine Vision and Intelligent Control(2022B07);the Open Research Fund from Guangdong Laboratory of Artificial Intelligence and Digital Economy(SZ)(GML-KF-22-04);the Natural Science Foundation of Southwest University of Science and Technology(22zx7101);the National Natural Science Foundation of China(62106209)。
Dear Editor,This letter proposes a parameter-free multiple kernel clustering(MKC)method by using shifted Laplacian reconstruction.Traditional MKC can effectively cluster nonlinear data,but it faces two main challenges...
Supported by the National Natural Science Foundation of China(11501342,12001344)。
The paper generalizes the direct method of moving planes to the Logarithmic Laplacian system.Firstly,some key ingredients of the method are discussed,for example,Narrow region principle and Decay at infinity.Then,the ...
supported in part by the National Natural Science Foundation of China(62001356);in part by the National Natural Science Foundation for Distinguished Young Scholar(61825104);in part by the National Key Research and Development Program of China(2022YFC3301300);in part by the Innovative Research Groups of the National Natural Science Foundation of China(62121001)。
Weak signal reception is a very important and challenging problem for communication systems especially in the presence of non-Gaussian noise,and in which case the performance of optimal linear correlated receiver degr...
supported by the National Natural Science Foundation of China grants 61836014 to CL,and the STI2030‐Major Projects(2022ZD0205100);the Strategic Priority Research Program of Chinese Academy of Science,Grant No.XDB32010300;Shanghai Municipal Science and Technology Major Project(Grant No.2018SHZDZX05);the Innovation Academy of Artificial Intelligence,Chinese Academy of Sciences to ZW.
Lateral interaction in the biological brain is a key mechanism that underlies higher cognitive functions.Linear self‐organising map(SOM)introduces lateral interaction in a general form in which signals of any modalit...