Column Subset Selection: RRQR and TCS

This lecture covers the concepts of RRQR and TCS in the context of column subset selection and low-rank matrix approximation. It discusses the tradeoffs, accuracy metrics, and frameworks for low-rank matrix factorizations, emphasizing the importance of communication avoidance. The lecture also delves into the complexity of matrix computations, NLA algorithms for CSSP, and recent developments in the field. Various approaches, such as randomized QRCP and SRQR, are explored, along with their implications for approximation quality and subset selection. The speaker presents a hybrid two-stage algorithm and compares it with traditional NLA and TCS methods, highlighting the advancements in the field.