In this chapter we study the adjacency matrix of a graph and an appropriate algebraic probability space in which it lives. Especially the vacuum state and their deformation on the adjacency algebra are treated. In Sect. 2.4 we introduce the quantum decomposition of the adjacency matrix, which ...
An evolutionary algorithm able to synthesize low-sensitivity digital filters using a chromosome coding scheme based on the adjacency matrix is proposed. It is shown that the proposed representation is more flexible than GP-tree schemes and has a higher search space dimension....
Inferring the 3D structure of the genome from the contact frequency matrix obtained by Hi-C has become an interesting research topic of bioinformatics since the occurrence of Hi-C. However, reconstructing the 3D structures of chromosomes from the Hi-C data is not so straightforward but an ...
Adjacency matrixComputer gamesVisualizationCrisis management is a modern phenomenon brought about by natural disasters and acts of terrorism. Building a modern crisis management response program needs a multi-disciplinary architecture and accurate, up-to-date, real-world data. The creation of virtual ...
The last stage to compute the RAG Tree consists of the conversion of matrix\(T_{ inc }\)into another simplified matrix TTM that holds the topological tree (also in a matrix form). This is done by Algorithm 2 (Fig.4) in a few steps. ...
When compared to existing methods such as GCN and MixHop, MulStepNET aggregates neighborhoods information at more distant distances via multi-power adjacency matrix while fitting fewest parameters and being computationally more efficient. Experiments on citation networks including Pubmed, Cora, and ...
Therefore, the graph convo- lution formula based on the adjacency matrix enhancement is modified as Formula (10): ∑fout = Kv Wk fin (Λ−k 1 2 Gk Λk− 1 2 ) ⊗ Mk k=1 (10) Figure 2 shows the architecture of the EAMGCN unit. The value of elements in the new adjacency ...