Abstract: We consider a generalization of the Laplace transform of Poisson shot noise defined as an integral transform with respect to a matrix exponential. We denote this as the matrix Laplace ...

Abstract: We consider a complex-valued L × L exponential correlation matrix. Such a matrix has unit diagonal elements; each lower off-diagonal element is the correlation coefficient raised to the ...

Discriminant locality preserving projections (DLPP), which has shown good performances in pattern recognition, is a feature extraction algorithm based on manifold learning. However, DLPP suffers from ...

For diagonal matrices sympy has a method for calculating the exponential. For general n x n matrices, I have implemented the algorithm found here. I have tested it with several examples related to the ...

This is a preview. Log in through your library . Abstract A distribution G on (0, ∞) is called matrix-exponential if the density has the form $\boldsymbol{\alpha}\mathbf{\mathit{e}}^{{\bf T}z}$ s ...

Recent work uses a simplistic approximation to the matrix exponential derivative to apply gold-standard models from evolutionary biology to a collection of challenging data analyses. Whereas one may ...

A small matrix decomposition of the path integral expression (SMatPI) that yields the reduced density matrix of a system interacting with a dissipative harmonic bath is obtained by recursively ...

Research code aimed at comparing a set of numerical methods to compare the exponential of a matrix times a vector without explicitly compute the exponential of the matrix. Selected methods are the ...

Graph Transformers (GTs) have successfully achieved state-of-the-art performance on various platforms. GTs can capture long-range information from nodes that are at large distances, unlike the local ...