Communication Dans Un Congrès Année : 2024

Better Space-Time-Robustness Trade-Offs for Set Reconciliation

Résumé

We consider the problem of reconstructing the symmetric difference between similar sets from their representations (sketches) of size linear in the number of differences. Exact solutions to this problem are based on error-correcting coding techniques and suffer from a large decoding time. Existing probabilistic solutions based on Invertible Bloom Lookup Tables (IBLTs) are time-efficient but offer insufficient success guarantees for many applications. Here we propose a tunable trade-off between the two approaches combining the efficiency of IBLTs with exponentially decreasing failure probability. The proof relies on a refined analysis of IBLTs proposed in (Baek Tejs Houen et al. SOSA 2023) which has an independent interest. We also propose a modification of our algorithm that enables telling apart the elements of each set in the symmetric difference.
Fichier principal
Vignette du fichier
LIPIcs.ICALP.2024.20.pdf (907.4 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte
Licence

Dates et versions

hal-04799765 , version 1 (23-11-2024)

Licence

Identifiants

Citer

Belazzougui Djamal, Gregory Kucherov, Stefan Walzer. Better Space-Time-Robustness Trade-Offs for Set Reconciliation. 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024), Jul 2024, Tallinn, Estonia. pp.20:1-20:19, ⟨10.4230/LIPIcs.ICALP.2024.20⟩. ⟨hal-04799765⟩
23 Consultations
28 Téléchargements

Altmetric

Partager

More