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The recent proposal of learned index structures opens up a new perspective on how traditional range indexes can be optimized. However, the current learned indexes assume the data distribution is relatively static and the access pattern is…

Machine Learning · Computer Science 2019-02-05 Chuzhe Tang , Zhiyuan Dong , Minjie Wang , Zhaoguo Wang , Haibo Chen

Database Management Systems and K/V-Stores operate on updatable datasets -- massively exceeding the size of available main memory. Tree-based K/V storage management structures became particularly popular in storage engines. B+ Trees allow…

Databases · Computer Science 2022-09-21 Christian Riegger , Ilia Petrov

Temporal graphs represent interactions between entities over time. Deciding whether entities can reach each other through temporal paths is useful for various applications such as in communication networks and epidemiology. Previous works…

Data Structures and Algorithms · Computer Science 2023-08-24 Luiz Fernando Afra Brito , Marcelo Keese Albertini , Bruno Augusto Nassif Travençolo , Gonzalo Navarro

LSM-tree based key-value (KV) stores organize data in a multi-level structure for high-speed writes. Range queries on traditional LSM-trees must seek and sort-merge data from multiple table files on the fly, which is expensive and often…

Databases · Computer Science 2021-01-27 Wenshao Zhong , Chen Chen , Xingbo Wu , Song Jiang

We present a dynamic self-balancing octree data structure that enables efficient neighborhood maintenance in evolving metric spaces, a key challenge in modern machine learning systems. Many learning and generative models operate as…

Machine Learning · Computer Science 2025-04-28 Aditya S Ellendula , Chandrajit Bajaj

We investigate dynamic versions of geometric set cover and hitting set where points and ranges may be inserted or deleted, and we want to efficiently maintain an (approximately) optimal solution for the current problem instance. While their…

Computational Geometry · Computer Science 2020-03-03 Pankaj K. Agarwal , Hsien-Chih Chang , Subhash Suri , Allen Xiao , Jie Xue

The M-tree is a paged, dynamically balanced metric access method that responds gracefully to the insertion of new objects. To date, no algorithm has been published for the corresponding Delete operation. We believe this to be non-trivial…

Databases · Computer Science 2010-04-27 Alan P. Sexton , Richard Swinbank

Index access is one of the dominant performance factors in transactional database systems. Many systems use a B+-tree or one of its variants to handle point and range operations. This access pattern has room for performance improvement.…

Databases · Computer Science 2024-10-23 Sho Nakazono , Yutaro Bessho , Hideyuki Kawashima , Tatsuhiro Nakamori

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

Computational Geometry · Computer Science 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

The access lemma (Sleator and Tarjan, JACM 1985) is a property of binary search trees that implies interesting consequences such as static optimality, static finger, and working set property. However, there are known corollaries of the…

Data Structures and Algorithms · Computer Science 2023-12-27 Parinya Chalermsook , Manoj Gupta , Wanchote Jiamjitrak , Akash Pareek , Sorrachai Yingchareonthawornchai

We present a deterministic dynamic algorithm for maintaining a $(1+\epsilon)f$-approximate minimum cost set cover with $O(f\log(Cn)/\epsilon^2)$ amortized update time, when the input set system is undergoing element insertions and…

Data Structures and Algorithms · Computer Science 2019-09-26 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai

We present a dynamic data structure for representing a graph $G$ with tree-depth at most $D$. Tree-depth is an important graph parameter which arose in the study of sparse graph classes. The structure allows addition and removal of edges…

Data Structures and Algorithms · Computer Science 2013-07-11 Zdenek Dvorak , Martin Kupec , Vojtech Tuma

An efficient, scalable, and provably secure dynamic auditing scheme is highly desirable in the cloud storage environment for verifying the integrity of the outsourced data. Most of the existing work on remote integrity checking focuses on…

Cryptography and Security · Computer Science 2024-12-10 Tariqul Islam , Faisal Haque Bappy , Md Nafis Ul Haque Shifat , Farhan Ahmad , Kamrul Hasan , Tarannum Shaila Zaman

We present bundled references, a new building block to provide linearizable range query operations for highly concurrent lock-based linked data structures. Bundled references allow range queries to traverse a path through the data structure…

Data Structures and Algorithms · Computer Science 2022-06-30 Jacob Nelson-Slivon , Ahmed Hassan , Roberto Palmieri

Containment-based trees encompass various handy structures such as B+-trees, R-trees and M-trees. They are widely used to build data indexes, range-queryable overlays, publish/subscribe systems both in centralized and distributed contexts.…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-12-17 Evangelos Bampas , Anissa Lamani , Franck Petit , Mathieu Valero

In the range $\alpha$-majority query problem, we are given a sequence $S[1..n]$ and a fixed threshold $\alpha \in (0, 1)$, and are asked to preprocess $S$ such that, given a query range $[i..j]$, we can efficiently report the symbols that…

Data Structures and Algorithms · Computer Science 2018-05-24 Travis Gagie , Meng He , Gonzalo Navarro

In this paper, we study the $d$-dimensional update-query problem. We provide lower bounds on update and query running times, assuming a long-standing conjecture on min-plus matrix multiplication, as well as algorithms that are close to the…

Data Structures and Algorithms · Computer Science 2020-10-27 Jason Yang , Jun Wan

Given a conjunctive query and a database instance, we aim to develop an index that can efficiently answer spatial queries on the results of a conjunctive query. We are interested in some commonly used spatial queries, such as range…

Databases · Computer Science 2025-09-15 Aryan Esmailpour , Xiao Hu , Stavros Sintos

We present a new threshold phenomenon in data structure lower bounds where slightly reduced update times lead to exploding query times. Consider incremental connectivity, letting t_u be the time to insert an edge and t_q be the query time.…

Data Structures and Algorithms · Computer Science 2011-03-29 Mihai Patrascu , Mikkel Thorup

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson
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