Persistent homology lower bounds on high-order network distances

W Huang, A Ribeiro - IEEE Transactions on Signal Processing, 2016 - ieeexplore.ieee.org
High-order networks are weighted hypergraphs collecting relationships between elements
of tuples, not necessarily pairs. Valid metric distances between high-order networks have …

Hierarchical clustering given confidence intervals of metric distances

W Huang, A Ribeiro - IEEE Transactions on Signal Processing, 2018 - ieeexplore.ieee.org
This paper considers metric the exact dissimilarities between pairs of points are not
unknown but known to belong to some interval. The goal is to study methods for the …

Metrics in the space of high order networks

W Huang, A Ribeiro - IEEE Transactions on Signal Processing, 2015 - ieeexplore.ieee.org
This paper presents methods to compare high-order networks, defined as weighted
complete hypergraphs collecting relationship functions between elements of tuples. They …

Persistent homology lower bounds on network distances

W Huang, A Ribeiro - 2016 IEEE International Conference on …, 2016 - ieeexplore.ieee.org
High order networks are weighted complete hypergraphs collecting relationships between
elements of tuples. Valid metric distances between high order networks have been defined …

Network comparison: Embeddings and interiors

W Huang, A Ribeiro - IEEE Transactions on Signal Processing, 2017 - ieeexplore.ieee.org
This paper presents methods to compare networks where relationships between pairs of
nodes in a given network are defined. We define such network distance by searching for the …

Persistent homology lower bounds on distances in the space of networks

W Huang, A Ribeiro - 2016 50th Asilomar Conference on …, 2016 - ieeexplore.ieee.org
High order networks are weighted hypergraphs collecting relationships between elements of
tuples, not necessarily pairs. Valid metric distances between high order networks have been …

[書籍][B] Networked data analytics: Network comparison and applied graph signal processing

W Huang - 2018 - search.proquest.com
Networked data structures has been getting big, ubiquitous, and pervasive. As our day-to-
day activities become more incorporated with and influenced by the digital world, we rely …