19 citations · 20 across the 2 of their papers we have counts for
5 papers
A guided network propagation approach to identify disease genes that combines prior and new information
Borislav H. Hristov, Bernard Chazelle, Mona Singh
A major challenge in biomedical data science is to identify the causal genes underlying complex genetic diseases. Despite the massive influx of genome sequencing data, identifying…
Toward a Theory of Markov Influence Systems and their Renormalization
Bernard Chazelle
We introduce the concept of a Markov influence system (MIS) and analyze its dynamics. An MIS models a random walk in a graph whose edges and transition probabilities change endogen…
A Sharp Bound on the -Energy and Its Applications to Averaging Systems
Bernard Chazelle
The {\em -energy} is a generating function of wide applicability in network-based dynamics. We derive an (essentially) optimal bound of on the -energy of an $n…
On the Convergence of the Hegselmann-Krause System
Arnab Bhattacharyya, Mark Braverman, Bernard Chazelle +1
We study convergence of the following discrete-time non-linear dynamical system: n agents are located in R^d and at every time step, each moves synchronously to the average locatio…
The Convergence of Bird Flocking
Bernard Chazelle
We bound the time it takes for a group of birds to reach steady state in a standard flocking model. We prove that (i) within single exponential time fragmentation ceases and each b…