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YouTube

Jelani Nelson- Forty Years of Frequent Items

International Mathematical Union via YouTube

Overview

Explore the evolution and advancements in frequent items algorithms over the past four decades in this 46-minute lecture by Jelani Nelson for the International Mathematical Union. Delve into various aspects of the field, including change detection, turnstile streaming algorithms, and bounds for lg-heavy hitters. Examine the BPTree structure, reductions to finding super-heavy items, and the application of core lemmas. Discover the speaker's contributions, including their novel solution and main data structure. Learn about techniques such as stitching chunks as paths, using expanders for stitching, and answering HH queries. Investigate Local Differential Privacy, optimization strategies, and the utility of meta approaches. Gain insights from experimental results and explore the tradeoffs involved in frequent items algorithms.

Syllabus

Intro
Finding frequent items
Harder problem: change detection
Turnstile streaming algonthms
Bounds attained for lg-heavy hitters
BPTree
Reduction to finding super-heavy items (BLIW'16)
Final reduction
Example application of core lemma
Basic idea to make use core lemma
Comparison of bounds
Our contribution
Our solution
Main data structure
Stitching chunks as paths
Stitching chunks the right way
Using expanders for stitching
Answering HH queries
Local Differential Privacy
Things to optimize
Utility of meta approach By independence
Experiments
Code release
Tradeoff

Taught by

International Mathematical Union

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