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This paper presents an exploration, implementations, and revisions ofprobabilistic sets and maps, specifically focusing on Bloomier filters andrelated data structures. The paper introduces the Fuse XORier Lookup Table(FXLT), an enhanced version of the Bloomier Filter incorporating spatialcoupling, linear construction, and optimizations. The authors provideimplementations in C and Python, comparing the FXLT's performance with otherdata structures like bloom filters, XOR filters, binary fuse filters, hashtables, and red-black trees. The FXLT demonstrates improvements in both spaceand time efficiency over traditional Bloomier Filters and appears competitivewith hash tables for large datasets.

The Fuse XORier Lookup Table: Exploration, Implementation, and Revision of Probabilistic Sets and Maps