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Maintaining Statistical Summaries over Dynamic Data
PhD Qualifying Examination Title: "Maintaining Statistical Summaries over Dynamic Data" by Mr. Yuan QIU Abstract: Since the introduction of Morris Counter in 1977, decades of research have been devoted to summary maintenance over dynamic data. For many problems, effcient summaries have been proposed that occupy small space while providing strong accuracy guarantees. The most important ones are statistical summaries for distinct count, frequency estimation, heavy hitter and quantile problems. They are discussed under various models, including cash register streams, turnstile streams, sliding windows and distributed streams. While the streaming context is almost well-understood by matching bounds for many problems, new directions arise in applications of summaries and their ideas. One of them is differential privacy, which guarantees the privacy of any user is not compromised by any post-processing of outputs. Several summaries have been applied or extended to work under privacy constraints. In this survey, we review the literature of maintaining statistical information over dynamic data, and propose possible directions for future research. Date: Friday, 16 April 2021 Time: 4:00pm - 6:00pm Zoom meeting: https://hkust.zoom.us/j/7071528447 Committee Members: Prof. Ke Yi (Supervisor) Dr. Sunil Arya (Chairperson) Prof. Siu-Wing Cheng Prof. Mordecai Golin **** ALL are Welcome ****