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Self-adjusting data structures are a classic approach to adapting the complexity of operations to the data access distribution. While several self-adjusting variants are known for both binary search trees and B-Trees, existing constructions…

Data Structures and Algorithms · Computer Science 2023-10-10 Alexander Slastin , Dan Alistarh , Vitaly Aksenov

We introduce the lazy search tree data structure. The lazy search tree is a comparison-based data structure on the pointer machine that supports order-based operations such as rank, select, membership, predecessor, successor, minimum, and…

Data Structures and Algorithms · Computer Science 2020-10-20 Bryce Sandlund , Sebastian Wild

We introduce a batched lazy algorithm for supervised classification using decision trees. It avoids unnecessary visits to irrelevant nodes when it is used to make predictions with either eagerly or lazily trained decision trees. A set of…

Machine Learning · Computer Science 2016-03-09 Mathieu Guillame-Bert , Artur Dubrawski

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…

Data Structures and Algorithms · Computer Science 2022-11-14 Rathish Das , John Iacono , Yakov Nekrich

Search engines play a vital role in day to day life on internet. People use search engines to find content on internet. Cloud computing is the computing concept in which data is stored and accessed with the help of a third party server…

Information Retrieval · Computer Science 2014-11-26 Simran Bijral , Debajyoti Mukhopadhyay

B$^+$-trees are prevalent in traditional database systems due to their versatility and balanced structure. While binary search is typically utilized for branch operations, it may lead to inefficient cache utilization in main-memory…

Databases · Computer Science 2025-04-04 Yuan Chen , Ao Li , Wenhai Li , Lingfeng Deng

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…

Data Structures and Algorithms · Computer Science 2018-10-05 Yong Tan

We study learning-augmented binary search trees (BSTs) via Treaps with carefully designed priorities. The result is a simple search tree in which the depth of each item $x$ is determined by its predicted weight $w_x$. Specifically, each…

Data Structures and Algorithms · Computer Science 2025-05-16 Jingbang Chen , Xinyuan Cao , Alicia Stepin , Li Chen

This research concerns Learned Data Structures, a recent area that has emerged at the crossroad of Machine Learning and Classic Data Structures. It is methodologically important and with a high practical impact. We focus on Learned Indexes,…

Data Structures and Algorithms · Computer Science 2023-09-06 Domenico Amato , Giosué Lo Bosco , Raffaele Giancarlo

We revisit self-adjusting external memory tree data structures, which combine the optimal (and practical) worst-case I/O performances of B-trees, while adapting to the online distribution of queries. Our approach is analogous to undergoing…

Data Structures and Algorithms · Computer Science 2019-03-11 Erik D. Demaine , John Iacono , Grigorios Koumoutsos , Stefan Langerman

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…

Data Structures and Algorithms · Computer Science 2025-03-12 Gerth Stølting Brodal , Casper Moldrup Rysgaard , Rolf Svenning

We propose BS-tree, an in-memory implementation of the B+-tree that adopts the structure of the disk-based index (i.e., a balanced, multiway tree), setting the node size to a memory block that can be processed fast and in parallel using…

Databases · Computer Science 2025-11-14 Dimitrios Tsitsigkos , Achilleas Michalopoulos , Nikos Mamoulis , Manolis Terrovitis

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…

Data Structures and Algorithms · Computer Science 2015-03-19 Andy Twigg , Andrew Byde , Grzegorz Milos , Tim Moreton , John Wilkes , Tom Wilkie

Much research has been devoted to optimizing algorithms of the Lempel-Ziv (LZ) 77 family, both in terms of speed and memory requirements. Binary search trees and suffix trees (ST) are data structures that have been often used for this…

Data Structures and Algorithms · Computer Science 2016-11-17 Artur Ferreira , Arlindo Oliveira , Mario Figueiredo

We suggest a new non-recursive algorithm for constructing a binary search tree given an array of numbers. The algorithm has $O(N)$ time and $O(1)$ memory complexity if the given array of $N$ numbers is sorted. The resulting tree is of…

Data Structures and Algorithms · Computer Science 2022-07-20 Pavel S. Ruzankin

Uniquely represented data structures represent each logical state with a unique storage state. We study the problem of maintaining a dynamic set of $n$ keys from a totally ordered universe in this context. We introduce a two-layer data…

Data Structures and Algorithms · Computer Science 2023-03-09 Roodabeh Safavi , Martin P. Seybold

We study the integration of machine learning advice to improve upon traditional data structure designed for efficient search queries. Although there has been recent effort in improving the performance of binary search trees using machine…

Data Structures and Algorithms · Computer Science 2025-03-10 Chunkai Fu , Brandon G. Nguyen , Jung Hoon Seo , Ryan Zesch , Samson Zhou

In a variety of applications, we need to keep track of the development of a data set over time. For maintaining and querying this multi version data I/O-efficiently, external memory data structures are required. In this paper, we present a…

General Literature · Computer Science 2007-05-23 Saju Jude Dominic , G. Sajith

As data volumes continue to grow rapidly, traditional search algorithms, like the red-black tree and B+ Tree, face increasing challenges in performance, especially in big data scenarios with intensive storage access. This paper presents the…

Databases · Computer Science 2025-04-02 Songpeng Liu

Tree data structures, such as red-black trees, quad trees, treaps, or tries, are fundamental tools in computer science. A classical problem in concurrency is to obtain expressive, efficient, and scalable versions of practical tree data…

Databases · Computer Science 2023-10-10 Ilya Kokorin , Dan Alistarh , Vitaly Aksenov
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