8 papers · 1 filter
Lower Bounds for Linear Hashing via Arithmetic Kakeya
Ainesh Bakshi, Alex Conway, Hanna Komlós +2
Affine modular linear hashing is one of the simplest classical hash families. For a prime , the hash function is obtained by choosing uniformly from and…
Succinct and Fast Tiny Pointer Hash Tables
Xilin Tang, Yuqi Mai, William Kuszmaul +1
Hash tables sit on the critical path of many systems, yet modern designs still force a trade-off between fast operations and high memory overhead. We revisit this trade-off and pre…
Bounding the Fragmentation of B-Trees Subject to Batched Insertions
Michael A. Bender, Aaron Bernstein, Nairen Cao +5
The issue of internal fragmentation in data structures is a fundamental challenge in database design. A seminal result of Yao in this field shows that evenly splitting the leaves o…
Efficiently Constructing Sparse Navigable Graphs
Alex Conway, Laxman Dhulipala, Martin Farach-Colton +6
Graph-based nearest neighbor search methods have seen a surge of popularity in recent years, offering state-of-the-art performance across a wide variety of applications. Central to…
Time To Replace Your Filter: How Maplets Simplify System Design
Michael A. Bender, Alex Conway, MartÃn Farach-Colton +2
Filters such as Bloom, quotient, and cuckoo filters are fundamental building blocks providing space-efficient approximate set membership testing. However, many applications need to…
Adaptive Quotient Filters
Richard Wen, Hunter McCoy, David Tench +6
Adaptive filters, such as telescoping and adaptive cuckoo filters, update their representation upon detecting a false positive to avoid repeating the same error in the future. Adap…