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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

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

Wavelet trees are widely used in the representation of sequences, permutations, text collections, binary relations, discrete points, and other succinct data structures. We show, however, that this still falls short of exploiting all of the…

Data Structures and Algorithms · Computer Science 2010-11-23 Travis Gagie , Gonzalo Navarro , Simon J. Puglisi

Association rule mining techniques can generate a large volume of sequential data when implemented on transactional databases. Extracting insights from a large set of association rules has been found to be a challenging process. When…

Machine Learning · Computer Science 2023-11-22 Mikhail Kudriavtsev , Marija Bezbradica , Andrew McCarren

We initiate a study of a query-driven approach to designing partition trees for range-searching problems. Our model assumes that a data structure is to be built for an unknown query distribution that we can access through a sampling oracle,…

Data Structures and Algorithms · Computer Science 2025-02-20 Dimitris Fotakis , Andreas Kalavas , Ioannis Psarros

In this paper, we present a new data structure called the packed compact trie (packed c-trie) which stores a set $S$ of $k$ strings of total length $n$ in $n \log\sigma + O(k \log n)$ bits of space and supports fast pattern matching queries…

Data Structures and Algorithms · Computer Science 2017-10-11 Takuya Takagi , Shunsuke Inenaga , Kunihiko Sadakane , Hiroki Arimura

This paper introduces a data structure, called simplex tree, to represent abstract simplicial complexes of any dimension. All faces of the simplicial complex are explicitly stored in a trie whose nodes are in bijection with the faces of the…

Computational Geometry · Computer Science 2020-01-09 Jean-Daniel Boissonnat , Clément Maria

User attributes are essential in multiple stages of modern recommendation systems and are particularly important for mitigating the cold-start problem and improving the experience of new or infrequent users. We propose Behavior-based User…

Indexing large-scale databases in main memory is still challenging today. Learned index structures -- in which the core components of classical indexes are replaced with machine learning models -- have recently been suggested to…

Databases · Computer Science 2021-01-27 Ali Hadian , Thomas Heinis

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

Augmenting an existing sequential data structure with extra information to support greater functionality is a widely used technique. For example, search trees are augmented to build sequential data structures like order-statistic trees,…

Data Structures and Algorithms · Computer Science 2024-05-20 Panagiota Fatourou , Eric Ruppert

Sequential computation increasingly produces long traces containing nested branches, status transitions, textual payloads, and compact summaries of earlier execution. This paper introduces budgeted dynamic trace structures (BDTS), a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-25 Faruk Alpay , Levent Sarioglu

This paper presents new alternatives to the well-known Bloom filter data structure. The Bloom filter, a compact data structure supporting set insertion and membership queries, has found wide application in databases, storage systems, and…

The main contribution of this paper is the development of a new decision tree algorithm. The proposed approach allows users to guide the algorithm through the data partitioning process. We believe this feature has many applications but in…

Machine Learning · Statistics 2020-10-27 Cédric Beaulac , Jeffrey S. Rosenthal

Named data networking is one of the recommended {\color{red}architectures} for the future of the Internet. In this communication architecture, the content name is used instead of the IP address. To achieve this purpose, a new data structure…

Networking and Internet Architecture · Computer Science 2023-08-08 Arman Mahmoudi , Mahmood Ahmadi

Histograms are used to summarize the contents of relations into a number of buckets for the estimation of query result sizes. Several techniques (e.g., MaxDiff and V-Optimal) have been proposed in the past for determining bucket boundaries…

Data Structures and Algorithms · Computer Science 2007-05-23 Francesco Buccafurri , Gianluca Lax , Domenico Sacca' , Luigi Pontieri , Domenico Rosaci

In this paper, we revisit the problem of indexing multi-dimensional data in memory for the efficient support of multi-dimensional range queries and nearest neighbor queries. This is a classic problem in main-memory databases, where there is…

Databases · Computer Science 2026-05-06 Achilleas Michalopoulos , Dimitrios Tsitsigkos , Nikos Mamoulis

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

Machine Learning · Computer Science 2013-01-18 Amos J. Storkey

For 3D medical image (e.g. CT and MRI) segmentation, the difficulty of segmenting each slice in a clinical case varies greatly. Previous research on volumetric medical image segmentation in a slice-by-slice manner conventionally use the…

Image and Video Processing · Electrical Eng. & Systems 2022-07-12 Wenxuan Wang , Chen Chen , Jing Wang , Sen Zha , Yan Zhang , Jiangyun Li

While reduction in feature size makes computation cheaper in terms of latency, area, and power consumption, performance of emerging data-intensive applications is determined by data movement. These trends have introduced the concept of…

Hardware Architecture · Computer Science 2018-03-19 Bahar Asgari , Saibal Mukhopadhyay , Sudhakar Yalamanchili