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We present an optimal partially-persistent external-memory search tree with amortized I/O bounds matching those achieved by the non-persistent $B^{\varepsilon}$-tree by Brodal and Fagerberg [SODA 2003]. In a partially-persistent data…

数据结构与算法 · 计算机科学 2025-03-12 Gerth Stølting Brodal , Casper Moldrup Rysgaard , Rolf Svenning

In this paper, we present a probabilistic self-balancing dictionary data structure for massive data sets, and prove expected amortized I/O-optimal bounds on the dictionary operations. We show how to use the structure as an I/O-optimal…

数据结构与算法 · 计算机科学 2007-05-23 Saju Jude Dominic , G. Sajith

In this paper, we revisit the question of how the dynamic optimality of search trees should be defined in external memory. A defining characteristic of external-memory data structures is that there is a stark asymmetry between queries and…

数据结构与算法 · 计算机科学 2022-04-22 Michael A. Bender , Martín Farach-Colton , William Kuszmaul

The $B^{\epsilon}$-tree [Brodal and Fagerberg 2003] is a simple I/O-efficient external-memory-model data structure that supports updates orders of magnitude faster than B-tree with a query performance comparable to the B-tree: for any…

数据结构与算法 · 计算机科学 2022-11-14 Rathish Das , John Iacono , Yakov Nekrich

In this paper, a new and novel data structure is proposed to dynamically insert and delete segments. Unlike the standard segment trees[3], the proposed data structure permits insertion of a segment with interval range beyond the interval…

计算几何 · 计算机科学 2015-01-15 K. S. Easwarakumar , T. Hema

An external memory data structure is presented for maintaining a dynamic set of $N$ two-dimensional points under the insertion and deletion of points, and supporting 3-sided range reporting queries and top-$k$ queries, where top-$k$ queries…

计算几何 · 计算机科学 2015-09-29 Gerth Stølting Brodal

In [SPAA2007], Bender et al. define a streaming B-tree (or index) as one that supports updates in amortized $o(1)$ IOs, and present a structure achieving amortized $O((\log N)/B)$ IOs and queries in $O(\log N)$ IOs. We extend their result…

数据结构与算法 · 计算机科学 2017-07-27 Andrew Twigg

We consider the task of optimizing the B-tree data structure, used extensively in operating systems and databases, for sustainable usage on multi-level flash memory. Empirical evidence shows that this new flash memory tree, or FM Tree,…

数据结构与算法 · 计算机科学 2012-05-08 James Clay , Kevin Wortman

We present a structure in external memory for "top-k range reporting", which uses linear space, answers a query in O(lg_B n + k/B) I/Os, and supports an update in O(lg_B n) amortized I/Os, where n is the input size, and B is the block size.…

数据结构与算法 · 计算机科学 2014-03-27 Yufei Tao

The B-tree is a fundamental secondary index structure that is widely used for answering one-dimensional range reporting queries. Given a set of $N$ keys, a range query can be answered in $O(\log_B \nm + \frac{K}{B})$ I/Os, where $B$ is the…

数据结构与算法 · 计算机科学 2008-11-27 Ke Yi

The task of accumulating a portion of a list of values, whose values may be updated at any time, is widely used throughout various applications in computer science. While it is trivial to accomplish this task without any constraints,…

数据结构与算法 · 计算机科学 2025-02-12 Nicholas J. C. Papadopoulos

Tree-based data structures are ubiquitous across applications. Therefore, a multitude of different tree implementations exist. However, while these implementations are diverse, they share a tree structure as the underlying data structure.…

硬件体系结构 · 计算机科学 2025-01-30 Daniel Biebert , Christian Hakert , Jian-Jia Chen

Machine learning models deployed in real-world settings must operate under evolving data distributions and constrained computational resources. This challenge is particularly acute in non-stationary domains such as energy time series,…

机器学习 · 计算机科学 2026-03-17 Daniel Bretsko , Piotr Walas , Devashish Khulbe , Sebastian Stros , Stanislav Sobolevsky , Tomas Satura

Data structures used in software development have inbuilt redundancy to improve software reliability and to speed up performance. Examples include a Doubly Linked List which allows a faster deletion due to the presence of the previous…

数据库 · 计算机科学 2025-08-05 Pratyush Mahapatra , Mark D. Hill , Michael M. Swift

The Binary Search Tree (BST) is average in computer science which supports a compact data structure in memory and oneself even conducts a row of quick algorithms, by which people often apply it in dynamical circumstance. Besides these…

数据结构与算法 · 计算机科学 2018-10-05 Yong Tan

Index structures are one of the most important tools that DBAs leverage to improve the performance of analytics and transactional workloads. However, building several indexes over large datasets can often become prohibitive and consume…

数据库 · 计算机科学 2020-03-26 Alex Galakatos , Michael Markovitch , Carsten Binnig , Rodrigo Fonseca , Tim Kraska

A classic versioned data structure in storage and computer science is the copy-on-write (CoW) B-tree -- it underlies many of today's file systems and databases, including WAFL, ZFS, Btrfs and more. Unfortunately, it doesn't inherit the…

数据结构与算法 · 计算机科学 2015-03-19 Andy Twigg , Andrew Byde , Grzegorz Milos , Tim Moreton , John Wilkes , Tom Wilkie

Augmented B-trees (aB-trees) are a broad class of data structures. The seminal work "succincter" by Patrascu showed that any aB-tree can be stored using only two bits of redundancy, while supporting queries to the tree in time proportional…

数据结构与算法 · 计算机科学 2023-09-25 Tianxiao Li , Jingxun Liang , Huacheng Yu , Renfei Zhou

The need for scalable concurrent ordered set data structures with linearizable range query support is increasing due to the rise of multicore computers, data processing platforms and in-memory databases. This paper presents a new concurrent…

分布式、并行与集群计算 · 计算机科学 2017-09-05 Kjell Winblad

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.…

分布式、并行与集群计算 · 计算机科学 2012-12-17 Evangelos Bampas , Anissa Lamani , Franck Petit , Mathieu Valero
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