ECE Seminar with Shuchin Aeron

Methods for Multilinear Data Analytics With Shuchin Aeron Department of Electrical & Computer Engineering Tufts University Faculty Host: Venkatesh Saligrama Refreshments will be served outside Room 339 at 3:45 p.m. Abstract: In this talk we will focus on statistical signal processing methods for multilinear data (tensors) analytics and consider several problems - (a) tensor completion from missing entries, (b) unsupervised clustering of tensor data, and (c) collaborative filtering of multilinear data for online learning and prediction. Most approaches for multilinear data analytics are based on tensor factorizations and the performance depends on the particular factorization used. In this context, we exploit a recently proposed tensor factorization by Kilmer and Martin, referred to as the t-SVD, which is an operator theoretic approach for tensor analysis. We apply the resulting notion of tensor multi-rank and its convex relaxation to derive globally optimal algorithms with provable performance guarantees. We show the performance of these algorithms on 5-D and 4-D pre-stack seismic data completion, video completion/prediction from missing pixels, and tensor robust PCA for separating low rank tensors from sparse corruptions. In addition to t-SVD we exploit the linear algebraic structure arising from this tensor analysis and propose a robust method for unsupervised clustering of images treated as 2-D tensors. About the Speaker: Shuchin Aeron is currently an assistant professor in the department of ECE at Tufts University. He received his Ph.D. in ECE from Boston University in 2009. From 2009 to 2011, he was a post-doctoral research fellow at Schlumberger-Doll Research (SDR), Cambridge, Mass., where he worked on signal processing answer products for borehole acoustics. He has several patents and the proposed workflows are currently implemented in logging while drilling tools. He is the recipient of the best thesis award from both the College of Engineering and the Department of ECE in 2009. He received the Center of Information and Systems Engineering (CISE) award from Boston University in 2006 and a Schlumberger-Doll Research grant in 2007.