Probability Seminar Thursday, November 3, 2016 Hanes 125 4:15 PM Jay Newby University of North Carolina-Chapel Hill An artificial neural network approach to automated particle tracking analysis of 2D and 3D microscopy videos Tracking of microscopic species is one … Read more
“On the spectral gap of random hyperbolic graphs” Random hyperbolic graphs have been suggested as a promising model of social networks. A few of their fundamental parameters have been studied. However, none of them concerns their spectra. We consider … Read more
Michael Perlmutter UNC-Chapel Hill Department of Statistics and Operations Research Martingale Transforms and their Applications to Harmonic Analysis Martingale transform methods are a powerful tool for the study of many operators of classical interest in harmonic analysis such as … Read more
Wilfrid Kendall University of Warwick A Dirichlet Form approach to MCMC Optimal Scaling (Joint with Giacomo Zanella and Mylene Bédard) In this talk I will discuss the use of Dirichlet forms to deliver proofs of optimal scaling results for … Read more
Compressing Networks with Super Nodes Community detection is a commonly used technique for identifying cohesive groups of nodes in a network, based on similarities in connectivity patterns. To facilitate community detection in large networks, we recast the original network as … Read more
Suman Chakraborty University of North Carolina-Chapel Hill Pseudo-random graphs and applications We consider classes of pseudo-random graphs on n vertices for which the degree of every vertex and the co-degree between every pair of vertices are in the intervals (np-Cn^δ,np+Cn^δ) … Read more
Mean-Field Methods in Large Stochastic Networks Analysis of large-scale communication networks (e.g. ad hoc wireless networks, cloud computing systems, server networks etc.) is of great practical interest. The massive size of such networks frequently makes direct analysis intractable. Asymptotic approximations … Read more
Probability Seminar Thursday, April 5, 2018 Hanes 125 4:15 PM James Nolan Mathematics Department Duke University A system of Brownian particles interacting through a moving reflector I will describe a system of N particles diffusing on the real line and … Read more
Guo-Jhen Wu Brown University Temperature selection for the infinite swapping algorithm Parallel tempering, also known as replica exchange, is an algorithm used to speed up the convergence of slowly converging Markov processes (corresponding to lower temperatures for models from the … Read more
Non-parametric change point detection in growing networks
Souvik Dhara MIT A new universality class for critical percolation on networks with heavy-tailed degrees The talk concerns critical behavior of percolation on finite random networks with heavy-tailed degree distribution. In a seminal paper, Aldous (1997) identified the scaling limit … Read more
Zoe Huang Duke The contact process on Galton-Watson trees Abstract: The contact process describes an epidemic model where each infected individual recovers at rate 1 and infects its healthy neighbors at rate $\lambda$. We show that for the contact … Read more
