Although the network clustering literature has focused on undirected networks, many networks are directed. For example, communication networks contain asymmetric relationships, representing the flow of information from one person to another. This talk will (1) demonstrate that co-clustering, instead of clustering, is more natural for many directed graphs, (2) propose …
*** Philip Poon Title: Symmetry and spatiotemporal chaos with strong scale separation I will discuss the effect of a continuous symmetry on pattern formation in one spatial dimension. In particular, I will present a study of the Nikolaevskiy equation, a sixth-order PDE, which is a paradigmatic model for pattern dynamics …
Many inferential tasks, such as analyzing the functional connectivity of the brain via coactivation patterns or capturing the changing correlations amongst a set of assets for portfolio optimization, rely on modeling a covariance matrix whose elements evolve as a function of time. A number of multivariate heteroscedastic time series models …
Over time, the energy cost of computation has steadily fallen due to progressive advances predicted by Moore’s Law, while the energy cost of communication remains fundamentally limited by the signal power required to overcome noise and interference at the receiver. Across a diverse space of power-limited wireless devices, including sensor …
Many real-world phenomena can be represented by a spatio-temporal signal: where, when, and how much. Social media is a tantalizing data source for those who wish to monitor such signals. Unlike most prior work, we assume that the target phenomenon is known and we are given a method to count …
**** Ke Shen: Title: Enhanced Face Recognition using Message-Passing Algorithm Abstract: The goal of this project is to develop theories and algorithms to facilitate large-scale, unconstrained identity discovery, using images containing faces where the individuals belong to various social networks. By exploiting the contextual information from multiple photos and other …
What does the world look like at a trillion frames per second? Creative use of high-end laboratory equipment allows us to capture high resolution 2D videos of repetitive events with an effective time resolution of 2 picoseconds. In these videos, light moves less than one millimeter in each frame. The …
A significant challenge in biomechanical simulations is the handling of complex routing and contact constraints between muscles, tendons, and bones. I will discuss the constrained strand framework, which has been developed for the simulation of thin solids, with special focus on biomechanical simulations. In particular, I will discuss the importance …
Title: Atomic Norm Denoising with Applications to Line Spectral Estimation by Badri Narayan Bhaskar The sub-Nyquist estimation of line spectra is a classical problem in signal processing, but currently popular subspace-based techniques have few guarantees in the presence of noise and rely on a priori knowledge about system model order. …
Title: Canonical Estimation in a Rare-Events Regime by Vincent Tan Abstract: We propose a general methodology for performing statistical inference within a `rare-events regime’ that was recently suggested by Wagner, Viswanath and Kulkarni. Our approach allows one to easily establish consistent estimators for a very large class of canonical estimation …