Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225547498> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4225547498 abstract "We study streaming algorithms for two fundamental geometric problems: computing the cost of a Minimum Spanning Tree (MST) of an $n$-point set $X subset {1,2,dots,Delta}^d$, and computing the Earth Mover Distance (EMD) between two multi-sets $A,B subset {1,2,dots,Delta}^d$ of size $n$. We consider the turnstile model, where points can be added and removed. We give a one-pass streaming algorithm for MST and a two-pass streaming algorithm for EMD, both achieving an approximation factor of $tilde{O}(log n)$ and using polylog$(n,d,Delta)$-space only. Furthermore, our algorithm for EMD can be compressed to a single pass with a small additive error. Previously, the best known sublinear-space streaming algorithms for either problem achieved an approximation of $O(min{ log n , log (Delta d)} log n)$ [Andoni-Indyk-Krauthgamer '08, Backurs-Dong-Indyk-Razenshteyn-Wagner '20]. For MST, we also prove that any constant space streaming algorithm can only achieve an approximation of $Omega(log n)$, analogous to the $Omega(log n)$ lower bound for EMD of [Andoni-Indyk-Krauthgamer '08]. Our algorithms are based on an improved analysis of a recursive space partitioning method known generically as the Quadtree. Specifically, we show that the Quadtree achieves an $tilde{O}(log n)$ approximation for both EMD and MST, improving on the $O(min{ log n , log (Delta d)} log n)$ approximation of [Andoni-Indyk-Krauthgamer '08, Backurs-Dong-Indyk-Razenshteyn-Wagner '20]." @default.
- W4225547498 created "2022-05-05" @default.
- W4225547498 creator A5008171524 @default.
- W4225547498 creator A5048454802 @default.
- W4225547498 creator A5049478018 @default.
- W4225547498 creator A5091677337 @default.
- W4225547498 date "2021-11-05" @default.
- W4225547498 modified "2023-09-24" @default.
- W4225547498 title "New Streaming Algorithms for High Dimensional EMD and MST" @default.
- W4225547498 doi "https://doi.org/10.48550/arxiv.2111.03528" @default.
- W4225547498 hasPublicationYear "2021" @default.
- W4225547498 type Work @default.
- W4225547498 citedByCount "0" @default.
- W4225547498 crossrefType "posted-content" @default.
- W4225547498 hasAuthorship W4225547498A5008171524 @default.
- W4225547498 hasAuthorship W4225547498A5048454802 @default.
- W4225547498 hasAuthorship W4225547498A5049478018 @default.
- W4225547498 hasAuthorship W4225547498A5091677337 @default.
- W4225547498 hasBestOaLocation W42255474981 @default.
- W4225547498 hasConcept C111919701 @default.
- W4225547498 hasConcept C11413529 @default.
- W4225547498 hasConcept C114614502 @default.
- W4225547498 hasConcept C117160843 @default.
- W4225547498 hasConcept C118615104 @default.
- W4225547498 hasConcept C121332964 @default.
- W4225547498 hasConcept C134306372 @default.
- W4225547498 hasConcept C148764684 @default.
- W4225547498 hasConcept C151416825 @default.
- W4225547498 hasConcept C187166803 @default.
- W4225547498 hasConcept C2778572836 @default.
- W4225547498 hasConcept C2779557605 @default.
- W4225547498 hasConcept C33923547 @default.
- W4225547498 hasConcept C41008148 @default.
- W4225547498 hasConcept C62520636 @default.
- W4225547498 hasConcept C63553672 @default.
- W4225547498 hasConcept C77553402 @default.
- W4225547498 hasConceptScore W4225547498C111919701 @default.
- W4225547498 hasConceptScore W4225547498C11413529 @default.
- W4225547498 hasConceptScore W4225547498C114614502 @default.
- W4225547498 hasConceptScore W4225547498C117160843 @default.
- W4225547498 hasConceptScore W4225547498C118615104 @default.
- W4225547498 hasConceptScore W4225547498C121332964 @default.
- W4225547498 hasConceptScore W4225547498C134306372 @default.
- W4225547498 hasConceptScore W4225547498C148764684 @default.
- W4225547498 hasConceptScore W4225547498C151416825 @default.
- W4225547498 hasConceptScore W4225547498C187166803 @default.
- W4225547498 hasConceptScore W4225547498C2778572836 @default.
- W4225547498 hasConceptScore W4225547498C2779557605 @default.
- W4225547498 hasConceptScore W4225547498C33923547 @default.
- W4225547498 hasConceptScore W4225547498C41008148 @default.
- W4225547498 hasConceptScore W4225547498C62520636 @default.
- W4225547498 hasConceptScore W4225547498C63553672 @default.
- W4225547498 hasConceptScore W4225547498C77553402 @default.
- W4225547498 hasLocation W42255474981 @default.
- W4225547498 hasOpenAccess W4225547498 @default.
- W4225547498 hasPrimaryLocation W42255474981 @default.
- W4225547498 hasRelatedWork W2100283019 @default.
- W4225547498 hasRelatedWork W3020724744 @default.
- W4225547498 hasRelatedWork W3158958986 @default.
- W4225547498 hasRelatedWork W3195823295 @default.
- W4225547498 hasRelatedWork W4236661255 @default.
- W4225547498 hasRelatedWork W4286233438 @default.
- W4225547498 hasRelatedWork W4296603869 @default.
- W4225547498 hasRelatedWork W4310510242 @default.
- W4225547498 hasRelatedWork W4317672243 @default.
- W4225547498 hasRelatedWork W3115255814 @default.
- W4225547498 isParatext "false" @default.
- W4225547498 isRetracted "false" @default.
- W4225547498 workType "article" @default.