Title: Robust sequential change-point detection
Abstract: Sequential change-point detection is a
fundamental problem in statistics and signal processing, with broad
applications in security, network monitoring, imaging, and
genetics. Given a sequence of data, the goal is to detect any change in the
underlying distribution as quickly as possible from the streaming data. Various
algorithms have been developed including the commonly used CUSUM procedure.
However, there is a still a gap when applying change-point detection methods to
real problems, notably, due to the lack of robustness. Classic approaches
usually require exact specification of the pre and post change distributions
forms, which may be quite restrictive and do not perform well with real data.
On the other hand, HuberŐs classic robust statistics built based on least
favorable distributions are not directly applicable since they are
computationally intractable in the multi-dimensional setting. In this seminar,
I will present several of our recent works in developing computationally
efficient and robust change-point detection algorithms with certain near
optimality properties, by building a connection of statistical sequential
analysis with (online) convex optimization.
Bio: Yao Xie is
an Assistant Professor and Harold
R. and Mary Anne Nash Early Career Professor in the H. Milton Stewart School of Industrial and
Systems Engineering, Georgia Institute of Technology. She received her
Ph.D. in Electrical Engineering (minor in Mathematics) from Stanford
University in 2011. Prior joining Georgia Tech in 2013, she worked as a
Research Scientist at Duke University. Her research interests are
statistics, signal processing, and machine learning. She received a Best
Student Paper Award at Annual Asilomar Conference on Signals, Systems and
Computers in 2005, Finalist of Best Student Paper Award in
ICASSP Conference in 2007, and the National Science Foundation (NSF)
CAREER Award in 2017.