arXiv Open Access 2016

A Note on Markov Normalized Magnetic Eigenmaps

Alexander Cloninger

Lihat Sumber

Abstrak

We note that building a magnetic Laplacian from the Markov transition matrix, rather than the graph adjacency matrix, yields several benefits for the magnetic eigenmaps algorithm. The two largest benefits are that the embedding becomes more stable as a function of the rotation parameter g, and the principal eigenvector of the magnetic Laplacian now converges to the page rank of the network as a function of diffusion time. We show empirically that this normalization improves the phase and real/imaginary embeddings of the low-frequency eigenvectors of the magnetic Laplacian.

Topik & Kata Kunci

cs.SI physics.soc-ph

Penulis (1)

Alexander Cloninger

Format Sitasi

APA MLA BibTeX

Cloninger, A. (2016). A Note on Markov Normalized Magnetic Eigenmaps. https://arxiv.org/abs/1608.04418

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓