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The Block Tree (BT) is a novel compact data structure designed to compress sequence collections. It obtains compression ratios close to Lempel-Ziv and supports efficient direct access to any substring. The BT divides the text recursively…

Data Structures and Algorithms · Computer Science 2018-03-06 Nieves R. Brisaboa , Travis Gagie , Adrián Gómez-Brandón , Gonzalo Navarro

Even though existing database indexes (e.g., B+-Tree) speed up the query execution, they suffer from two main drawbacks: (1) A database index usually yields 5% to 15% additional storage overhead which results in non-ignorable dollar cost in…

Databases · Computer Science 2016-04-13 Jia Yu , Mohamed Sarwat

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,…

Data Structures and Algorithms · Computer Science 2012-05-08 James Clay , Kevin Wortman

The $k^2$-tree is a compact data structure designed to efficiently store sparse binary matrices by leveraging both sparsity and clustering of nonzero elements. This representation supports efficiently navigational operations and complex…

Data Structures and Algorithms · Computer Science 2025-05-19 Gabriel Carmona , Giovanni Manzini

Btree and Rtree are two basic index structures; many different variants of them are proposed after them. Different variants are used in specific application for the performance optimization. In this paper different variants of Btree and…

Data Structures and Algorithms · Computer Science 2015-06-11 Parth Patel , Deepak Garg

Although many updatable learned indexes have been proposed in recent years, whether they can outperform traditional approaches on disk remains unknown. In this study, we revisit and implement four state-of-the-art updatable learned indexes…

Databases · Computer Science 2023-05-03 Hai Lan , Zhifeng Bao , J. Shane Culpepper , Renata Borovica-Gajic

Existing path lookup routines in file systems need to construct an auxiliary index in memory or traverse the dentries of the directory file sequentially, which brings either heavy writes or large timing cost. This paper designs a novel path…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-07 Runyu Zhang , Chaoshu Yang

The suffix array is a classic full-text index, combining effectiveness with simplicity. We discuss three approaches aiming to improve its efficiency even more: changes to the navigation, data layout and adding extra data. In short, we show…

Data Structures and Algorithms · Computer Science 2016-07-28 Tomasz Kowalski , Szymon Grabowski , Kimmo Fredriksson , Marcin Raniszewski

The segment tree is an extremely versatile data structure. In this paper, a new heap based implementation of segment trees is proposed. In such an implementation of segment tree, the structural information associated with the tree nodes can…

Data Structures and Algorithms · Computer Science 2018-07-17 Lei Wang , Xiaodong Wang

We propose new succinct representations of ordinal trees, which have been studied extensively. It is known that any $n$-node static tree can be represented in $2n + o(n)$ bits and a number of operations on the tree can be supported in…

Data Structures and Algorithms · Computer Science 2010-09-27 Gonzalo Navarro , Kunihiko Sadakane

Compact and I/O-efficient data representations play an important role in efficient algorithm design, as memory bandwidth and latency can present a significant performance bottleneck, slowing the computation by orders of magnitude. While…

Data Structures and Algorithms · Computer Science 2018-11-19 Tomáš Gavenčiak , Jakub Tětek

Decision trees are well-known due to their ease of interpretability. To improve accuracy, we need to grow deep trees or ensembles of trees. These are hard to interpret, offsetting their original benefits. Shapley values have recently become…

Machine Learning · Computer Science 2023-01-26 Peng Yu , Chao Xu , Albert Bifet , Jesse Read

The article provides a new approach to creating hierarchical structure of file system. First, it gives overview of the existing ways of storing files in current operating systems. Second, it describes the new way of building structures of a…

Information Theory · Computer Science 2010-09-17 Maksim Malkov

User profile is widely used in the internet consumer industry, it can be used in recommendation systems for better user experience, or improving Ads system with better conversion rate. Most internet situation we must met large scale data…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-30 Derong Tang , Hank Wang

It has been shown in the indexing literature that there is an essential difference between prefix/range searches on the one hand, and predecessor/rank searches on the other hand, in that the former provably allows faster query resolution.…

Data Structures and Algorithms · Computer Science 2018-04-16 Djamal Belazzougui , Paolo Boldi , Rasmus Pagh , Sebastiano Vigna

A $B$-tree is a type of search tree where every node (except possibly for the root) contains between $m$ and $2m$ keys for some positive integer $m$, and all leaves have the same distance to the root. We study sequences of $B$-trees that…

Combinatorics · Mathematics 2024-06-11 Fabian Burghart , Stephan Wagner

Rank and select queries on bitmaps are essential building bricks of many compressed data structures, including text indexes, membership and range supporting spatial data structures, compressed graphs, and more. Theoretically considered yet…

Data Structures and Algorithms · Computer Science 2016-05-13 Szymon Grabowski , Marcin Raniszewski

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

The Simplex Tree (ST) is a recently introduced data structure that can represent abstract simplicial complexes of any dimension and allows efficient implementation of a large range of basic operations on simplicial complexes. In this paper,…

Computational Geometry · Computer Science 2016-11-08 Jean-Daniel Boissonnat , Karthik C. S. , Sébastien Tavenas

It is a high-quality algorithm for hierarchical clustering of large software source code. This effectively allows to break the complexity of tens of millions lines of source code, so that a human software engineer can comprehend a software…

Artificial Intelligence · Computer Science 2012-07-05 Sarge Rogatch