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Efficient Solution of Large Overdetermined Systems of Equations by a Monte Carlo Method
Tue, Jan 18, 2011 @ 11:00 AM - 12:00 PM
Ming Hsieh Department of Electrical and Computer Engineering
Conferences, Lectures, & Seminars
Speaker: Yunsong Huang , Ph.D. student
Talk Title: Efficient Solution of Large Overdetermined Systems of Equations by a Monte Carlo Method
Abstract: Large overdetermined system of linear equations, expressed as A x = b, arises from applications such as seismic imaging. The rows of the matrix A can be randomly encoded and lumped up, resulting in a matrix with much fewer number of rows, thereby allowing a more efficient solution. This manipulation step can be embedded in least-squares iterative solution of the original system of equations. At each iteration, an independently encoded and lumped matrix is in effect, guiding the update of x, in the least-squares sense. Overall, this approach results in significant savings in computational cost. Experiments in seismic imaging validate the merits of the proposed method.
Biography: Yunsong Huang received a B.S. degree in physics from the University of Science and Technology of China, and a master's degree in Electrical Engineering from the University of Southern California. He is currently a Ph.D. student in the Earth Science and Engineering Program at King Abdullah University of Science and Technology (KAUST). His research interests include seismic imaging and signal processing.
Host: Prof. B. Keith Jenkins
Location: Hughes Aircraft Electrical Engineering Center (EEB) - EEB 248
Audiences: Everyone Is Invited
Contact: Talyia Veal