Eigenvectors from Eigenvalues: A python implementation

A paper titled “Eigenvectors from eigenvalues” has recently sparkled heated discussions in Chinese communities on Wechat. This paper, co-authored by Peter Denton, Stephen Parke, Terence Tao and Xining Zhang, introduces a new method for calculating eigenvectors from solely eigenvalues. Some bloggers even describe this method as a revolution to traditional textbook method for calculating eigenvectors. I’ve never heard of this method before and wanted to give it a try to see if it is valid from a computational aspect. [Read More]

Similarity measurement of two sets of TADs

Months ago I had this question of comparing TADs from two Hi-C experiments in my research. TAD is short for topologically associated domains, discovered by Dixon et al [1] in 2012, which are regions in the genome that interacts more frequenctly with regions in the domain than outside. The goal of comparing TADs from two Hi-C expriments is to search for differentially interacting regions under two conditions to tease out regions that react to the conditions. [Read More]