Polynomial graph filter (PGF) is an important tool for processing the irregular data captured from various complex networks, so the design of PGF is studied in this paper. First, Legendre polynomials ...

Scientists have developed an exact approach to a key quantum error correction problem once believed to be unsolvable, and have shown that what appeared to be hardware-related errors may in fact be due ...

Abstract For a simple undirected graph G, let A(G) be the (0, 1) adjacency matrix of G. The Seidel matrix of G, is defined as S(G) = J − I − 2A(G) , where J is the all-one matrix and I is the identity ...

The construction of spectral filters for graph wavelet transforms is addressed in this paper. Both the undecimated and decimated cases will be considered. The filter functions are polynomials and can ...

Hyperbola and truncus functions are classified as power functions due to their distinct forms, characterised by negative exponents. Unlike polynomials, this form results in unique graphs that feature ...

The gFTP algorithm constructs binary recurrent neural networks with user-defined dynamics by adjusting non-realizable graphs and solving linear problems. This innovative approach enhances the ...

Mathematics Methods Level 4 provides the study of algebra, functions, differential and integral calculus, probability and statistics. These are necessary prerequisites for the study of Mathematics ...

For example, the Chebyshev graph convolutional neural network ChebyNet (Defferrard et al., 2016) is an early model for fusing graph convolution operations, where the key is the Chebyshev polynomial ...