5th Year Master of Science in Computer Science Thesis Presentation May 4, 2023 3:00pm — 4:00pm Location: In Person and Virtual - ET - Traffic21 Classroom, Gates Hillman 6501 and Zoom Speaker: YUCHENG DAI , Master's Student, Computer Science Department, Carnegie Mellon University https://www.linkedin.com/in/yuchengdai On Algorithms for Weighted Low Rank Approximation In this thesis we focus on the problem of Weighted Low Rank Approximation, which is a fundamental problem in theoretical computer science, machine learning and optimization. We introduce an approximation algorithm running in Ov(nnz(A) + n · poly( k/wε2 ) ) time based on row sampling of the original matrix, where all weights in the weight matrix are within a ratio of w. Our algorithm is relative error, improving upon prior additive error algorithms that were also not row sampling algorithms and had slower running time. We also show nearly matching lower bounds on the number of rows any algorithm must sample. Thesis Committee: David P. Woodruff (Chair) Richard Peng Additional Information In Person and Zoom Participation. See announcement. Add event to Google Add event to iCal