20 citations · 45 across the 6 of their papers we have counts for
6 papers
Hodge-Decomposition of Functional Brain Networks
D. Vijay Anand, Anass B El-Yaagoubi, Hernando Ombao +1
We propose to analyze dynamically changing brain networks by decomposing them into three orthogonal components through the Hodge decomposition. We propose to quantify the magnitude…
Topological Data Analysis of Human Brain Networks Through Order Statistics
Soumya Das, D. Vijay Anand, Moo K. Chung
Understanding the common topological characteristics of the human brain network across a population is central to understanding brain functions. The abstraction of human connectome…
Hodge-Laplacian of Brain Networks
D. Vijay Anand, Moo K. Chung
The closed loops or cycles in a brain network embeds higher order signal transmission paths, which provide fundamental insights into the functioning of the brain. In this work, we…
Weighted persistent homology for osmolyte molecular aggregation and hydrogen-bonding network analysis
D Vijay Anand, Kelin Xia, Yuguang Mu
It has long been observed that trimethylamin N-oxide (TMAO) and urea demonstrate dramatically different properties in a protein folding process. Even with the enormous theoretical…
Persistent homology analysis of osmolyte molecular aggregation and their hydrogen-bonding networks
Kelin Xia, D Vijay Anand, Shikhar Saxena +1
Two types of osmolytes, i.e., trimethylamin N-oxide (TMAO) and urea, demonstrate dramatically different properties in a protein folding process. Even with the great progresses in r…
Weighted persistent homology for biomolecular data analysis
Zhenyu Meng, D Vijay Anand, Yunpeng Lu +2
In this paper, we systematically review weighted persistent homology (WPH) models and their applications in biomolecular data analysis. Essentially, the weight value, which reflect…