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In this paper we describe data structures for orthogonal range reporting in external memory that support fast update operations. The query costs either match the query costs of the best previously known data structures or differ by a small…

Data Structures and Algorithms · Computer Science 2011-07-01 Yakov Nekrich

The Transformer model has revolutionized Natural Language Processing tasks such as Neural Machine Translation, and many efforts have been made to study the Transformer architecture, which increased its efficiency and accuracy. One potential…

Computation and Language · Computer Science 2023-08-17 Daniela N. Rim , Kimera Richard , Heeyoul Choi

The paper presents the first \emph{concurrency-optimal} implementation of a binary search tree (BST). The implementation, based on a standard sequential implementation of an internal tree, ensures that every \emph{schedule} is accepted,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-03 Vitaly Aksenov , Vincent Gramoli , Petr Kuznetsov , Anna Malova , Srivatsan Ravi

Many efficient data structures use randomness, allowing them to improve upon deterministic ones. Usually, their efficiency and correctness are analyzed using probabilistic tools under the assumption that the inputs and queries are…

Cryptography and Security · Computer Science 2019-01-30 Moni Naor , Eylon Yogev

With the development of decision systems and specially data warehouses, the visibility of the data warehouse design before its creation has become essential, and that because of data warehouse importance as considered as the unique data…

Databases · Computer Science 2013-10-03 El Amin Aoulad Abdelouarit

Sorting is an essential operation in computer science with direct consequences on the performance of large scale data systems, real-time systems, and embedded computation. However, no sorting algorithm is optimal under all distributions of…

Data Structures and Algorithms · Computer Science 2025-06-27 Shrinivass Arunachalam Balasubramanian

In this paper, we propose a generic concurrent directed graph (for shared memory architecture) that is concurrently being updated by threads adding/deleting vertices and edges. The graph is constructed by the composition of the well known…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-01 Sathya Peri , Muktikanta Sa , Nandini Singhal

This paper presents a distributed resource selection mechanism for diverse cloud-edge environments, enabling dynamic and context-aware allocation of resources to meet the demands of complex distributed applications. By distributing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Quentin Renau , Amjad Ullah , Emma Hart

We revisit the classical problem of computing the \emph{contour tree} of a scalar field $f:\mathbb{M} \to \mathbb{R}$, where $\mathbb{M}$ is a triangulated simplicial mesh in $\mathbb{R}^d$. The contour tree is a fundamental topological…

Computational Geometry · Computer Science 2015-12-11 Benjamin Raichel , C. Seshadhri

While modern general-purpose computing systems have ample amounts of memory, it is still the case that embedded computer systems, such as in a refrigerator, are memory limited; hence, such embedded systems motivate the need for strictly…

Data Structures and Algorithms · Computer Science 2026-03-09 Ofek Gila , Michael T. Goodrich , Vinesh Sridhar

Lexicographical sorting is a fundamental problem with applications to contingency tables, databases, Bayesian networks, and more. A standard method to lexicographically sort general data is to iteratively use a stable sort -- a sort which…

Data Structures and Algorithms · Computer Science 2013-10-08 David Haws

The input/output complexity, which is the complexity of data exchange between the main memory and the external memory, has been elaborately studied by a lot of former researchers. However, the existing works failed to consider the…

Computational Complexity · Computer Science 2022-08-23 Hengzhao Ma , Jianzhong Li , Xiangyu Gao , Tianpeng Gao

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

In this paper, we study the MapReduce framework from an algorithmic standpoint and demonstrate the usefulness of our approach by designing and analyzing efficient MapReduce algorithms for fundamental sorting, searching, and simulation…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-11 Michael T. Goodrich , Nodari Sitchinava , Qin Zhang

In the era of big data, the increasing availability of diverse data sources has driven interest in analytical approaches that integrate information across sources to enhance statistical accuracy, efficiency, and scientific insights. Many…

Methodology · Statistics 2026-03-30 Lu Wang , Yanyuan Ma , Jiwei Zhao

The dynamic partial sorting problem asks for an algorithm that maintains lists of numbers under the link, cut and change value operations, and queries the sorted sequence of the $k$ least numbers in one of the lists. We first solve the…

Data Structures and Algorithms · Computer Science 2014-04-21 Jiamou Liu , Kostya Ross

Merging two sorted arrays is a prominent building block for sorting and other functions. Its efficient parallelization requires balancing the load among compute cores, minimizing the extra work brought about by parallelization, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-23 Oded Green , Saher Odeh , Yitzhak Birk

Many Pareto-based multi-objective evolutionary algorithms require to rank the solutions of the population in each iteration according to the dominance principle, what can become a costly operation particularly in the case of dealing with…

Neural and Evolutionary Computing · Computer Science 2020-02-19 Javier Moreno , Daniel Rodriguez , Antonio Nebro , Jose A. Lozano

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

Efficiency has been a pivotal aspect of the software industry since its inception, as a system that serves the end-user fast, and the service provider cost-efficiently benefits all parties. A database management system (DBMS) is an integral…

Performance · Computer Science 2023-11-28 Toni Taipalus