Maximum Likelihood Estimation on Stochastic Blockmodels for Directed Graph Clustering

M Cucuringu, X Dong, N Zhang - arxiv preprint arxiv:2403.19516, 2024 - arxiv.org
This paper studies the directed graph clustering problem through the lens of statistics, where
we formulate clustering as estimating underlying communities in the directed stochastic …

Clustering for directed graphs using parametrized random walk diffusion kernels

H Sevi, M Jonckheere, A Kalogeratos - arxiv preprint arxiv:2210.00310, 2022 - arxiv.org
Clustering based on the random walk operator has been proven effective for undirected
graphs, but its generalization to directed graphs (digraphs) is much more challenging …

Geometries of mixed graphs/networks in complex vector spaces

E Estrada - 2024 - hal.science
This paper thoroughly introduces several geometric measures for mixed graphs represented
by complex-valued Hermitian adjacency matrices. We define the communicability functions …

Antidiagonal Operators, Antidiagonalization, Hollow Quasidiagonalization--Unitary, Orthogonal, Permutation, and Otherwise-and Symmetric Spectra

DR Nicholus - arxiv preprint arxiv:2304.13842, 2023 - arxiv.org
After summarizing characteristics of antidiagonal operators, we derive three direct sum
decompositions characterizing antidiagonalizable linear operators-the first up to permutation …