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Let $A$ be a static array storing $n$ elements from a totally ordered set. We present a data structure of optimal size at most $n\log_2(3+2\sqrt{2})+o(n)$ bits that allows us to answer the following queries on $A$ in constant time, without…

Data Structures and Algorithms · Computer Science 2011-02-03 Johannes Fischer

Given a set $P$ of coloured points on the real line, we study the problem of answering range $\alpha$-majority (or "heavy hitter") queries on $P$. More specifically, for a query range $Q$, we want to return each colour that is assigned to…

Data Structures and Algorithms · Computer Science 2012-12-05 Amr Elmasry , Meng He , J. Ian Munro , Patrick K. Nicholson

There is a lot of interest today in building autonomous (or, self-driving) data processing systems. An emerging school of thought is to leverage AI-driven "black box" algorithms for this purpose. In this paper, we present a contrarian view.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-28 Mayuresh Kunjir , Shivnath Babu

Choosing automatically the right algorithm using problem descriptors is a classical component of combinatorial optimization. It is also a good tool for making evolutionary algorithms fast, robust and versatile. We present Shiwa, an…

Artificial Intelligence · Computer Science 2020-04-30 Jialin Liu , Antoine Moreau , Mike Preuss , Baptiste Roziere , Jeremy Rapin , Fabien Teytaud , Olivier Teytaud

With input sizes becoming massive, coresets -- small yet representative summary of the input -- are relevant more than ever. A weighted set $C_w$ that is a subset of the input is an $\varepsilon$-coreset if the cost of any feasible solution…

Data Structures and Algorithms · Computer Science 2020-09-29 Monika Henzinger , Sagar Kale

Dynamic algorithms come in three main flavors: $\mathit{incremental}$ (insertions-only), $\mathit{decremental}$ (deletions-only), or $\mathit{fully}$ $\mathit{dynamic}$ (both insertions and deletions). Fully dynamic is the holy grail of…

Data Structures and Algorithms · Computer Science 2022-11-18 Binghui Peng , Aviad Rubinstein

We show that the Longest Common Prefix Array of a text collection of total size n on alphabet [1, {\sigma}] can be computed from the Burrows-Wheeler transformed collection in O(n log {\sigma}) time using o(n log {\sigma}) bits of working…

Data Structures and Algorithms · Computer Science 2019-01-23 Nicola Prezza , Giovanna Rosone

Scientific workflows process extensive data sets over clusters of independent nodes, which requires a complex stack of infrastructure components, especially a resource manager (RM) for task-to-node assignment, a distributed file system…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-12 Fabian Lehmann , Jonathan Bader , Friedrich Tschirpke , Ninon De Mecquenem , Ansgar Lößer , Soeren Becker , Katarzyna Ewa Lewińska , Lauritz Thamsen , Ulf Leser

Binary relations are commonly used in Computer Science for modeling data. In addition to classical representations using matrices or lists, some compressed data structures have recently been proposed to represent binary relations in compact…

Data Structures and Algorithms · Computer Science 2020-02-24 Carlos Quijada-Fuentes , Miguel R. Penabad , Susana Ladra , Gilberto Gutiérrez

To effectively search for the optimal motion template in dynamic multidimensional space, this paper proposes a novel optimization algorithm, Dynamic Dimension Wrapping (DDW).The algorithm combines Dynamic Time Warping (DTW) and Euclidean…

Machine Learning · Computer Science 2024-11-18 Dongnan Jin , Yali Liu , Qiuzhi Song , Xunju Ma , Yue Liu , Dehao Wu

The proliferation of interconnected devices in the Internet of Things (IoT) has led to an exponential increase in data, commonly known as Big IoT Data. Efficient retrieval of this heterogeneous data demands a robust indexing mechanism for…

Databases · Computer Science 2024-08-30 Ala-Eddine Benrazek , Zineddine Kouahla , Brahim Farou , Hamid Seridi , Ibtissem Kemouguette

The memory capacity in edge devices is often limited due to constraints on cost, size, and power. Consequently, memory competition leads to inevitable page swapping in memory-constrained mixed-criticality edge devices, causing slow storage…

Operating Systems · Computer Science 2025-11-26 Meng-Chia Lee , Wen Sheng Lim , Yuan-Hao Chang , Tei-Wei Kuo

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

Recent work by Elmasry et al. (STACS 2015) and Asano et al. (ISAAC 2014), reconsidered classical fundamental graph algorithms focusing on improving the space complexity. We continue this line of work focusing on space. Our first result is a…

Data Structures and Algorithms · Computer Science 2017-07-28 Niranka Banerjee , Sankardeep Chakraborty , Venkatesh Raman , Srinivasa Rao Satti

The Burrows-Wheeler Transform (BWT) is a string transformation technique widely used in areas such as bioinformatics and file compression. Many applications combine a run-length encoding (RLE) with the BWT in a way which preserves the…

Discrete Mathematics · Computer Science 2025-09-18 Lily Major , Amanda Clare , Jacqueline W. Daykin , Benjamin Mora , Christine Zarges

Raw data sizes are growing and proliferating in scientific research, driven by the success of data-hungry computational methods, such as machine learning. The preponderance of proprietary and shoehorned data formats make computations slower…

Databases · Computer Science 2022-01-02 David S. Smith

In order to avoid the reference bias introduced by mapping reads to a reference genome, bioinformaticians are investigating reference-free methods for analyzing sequenced genomes. With large projects sequencing thousands of individuals,…

Data Structures and Algorithms · Computer Science 2016-01-15 Jouni Sirén

The Suffix Array $SA_S[1\ldots n]$ of an $n$-length string $S$ is a lexicographically sorted array of the suffixes of $S$. The suffix array is one of the most well known and widely used data structures in string algorithms. We present a…

Data Structures and Algorithms · Computer Science 2021-12-24 Amihood Amir , Itai Boneh

Full Waveform Inversion (FWI) is a widely used method in seismic data processing, capable of estimating models that represent the characteristics of the geological layers of the subsurface. Because it works with a massive amount of data,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-22 Felipe H. S. da Silva , João B. Fernandes , Idalmis M. Sardina , Tiago Barros , Samuel Xavier-de-Souza , Italo A. S. Assis

In this paper we present a novel algorithm and efficient data structure for anomaly detection based on temporal data. Time-series data are represented by a sequence of symbolic time intervals, describing increasing and decreasing trends, in…

Data Structures and Algorithms · Computer Science 2019-11-05 Roni Mateless , Michael Segal , Robert Moskovitch
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