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5 papers

cs.DS2026

Quadratic Probing Revisited: Smoothed Analysis and the Fall of Robin Hood

Yang Hu, William Kuszmaul, Jingxun Liang +3

The paper studies a smoothed version of quadratic probing for hash tables, comparing Robin Hood and anti‑Robin Hood insertion orders and showing that anti‑Robin Hood achieves logar…

cs.DS2026

Adversarial Robustness for Small Frequency Moments and a Weak Equivalence Theorem for Turnstile Streams

Elena Gribelyuk, Honghao Lin, David P. Woodruff +2

We study adversarially robust algorithms for insertion-deletion (turnstile) streams, where future updates may depend on past algorithm outputs. While recent work achieved a robust…

cs.DS2026

Adversarial Robustness on Insertion-Deletion Streams

Elena Gribelyuk, Honghao Lin, David P. Woodruff +2

We study adversarially robust algorithms for insertion-deletion (turnstile) streams, where future updates may depend on past algorithm outputs. While robust algorithms exist for in…

cs.DS2025

Static Retrieval Revisited: To Optimality and Beyond

Yang Hu, William Kuszmaul, Jingxun Liang +3

In the static retrieval problem, a data structure must answer retrieval queries mapping a set of keys in a universe to -bit values. Information-theoretically, retrieva…

cs.DS2025

Optimal Static Dictionary with Worst-Case Constant Query Time

Yang Hu, Jingxun Liang, Huacheng Yu +2

In this paper, we design a new succinct static dictionary with worst-case constant query time. A dictionary data structure stores a set of key-value pairs with distinct keys in $[U…