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We present a framework for designing efficient distributed data structures for multi-dimensional data. Our structures, which we call skip-webs, extend and improve previous randomized distributed data structures, including skipnets and skip…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Lars Arge , David Eppstein , Michael T. Goodrich

This paper proposes a novel set of trigonometric implementations which are 5x faster than the inbuilt C++ functions. The proposed implementation is also highly memory efficient requiring no precomputations of any kind. Benchmark comparisons…

Mathematical Software · Computer Science 2025-02-18 Nikhil Dev Goyal , Parth Arora

In a dynamic retrieval system, documents must be ingested as they arrive, and be immediately findable by queries. Our purpose in this paper is to describe an index structure and processing regime that accommodates that requirement for…

Information Retrieval · Computer Science 2023-01-12 Alistair Moffat , Joel Mackenzie

We present TTC, an open-source parallel compiler for multidimensional tensor transpositions. In order to generate high-performance C++ code, TTC explores a number of optimizations, including software prefetching, blocking, loop-reordering,…

Mathematical Software · Computer Science 2016-03-09 Paul Springer , Jeff R. Hammond , Paolo Bientinesi

The rank and select operations over a string of length n from an alphabet of size $\sigma$ have been used widely in the design of succinct data structures. In many applications, the string itself need be maintained dynamically, allowing…

Data Structures and Algorithms · Computer Science 2010-06-25 Meng He , J. Ian Munro

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

Given a sequence of integers, we want to find a longest increasing subsequence of the sequence. It is known that this problem can be solved in $O(n \log n)$ time and space. Our goal in this paper is to reduce the space consumption while…

Data Structures and Algorithms · Computer Science 2017-12-27 Masashi Kiyomi , Hirotaka Ono , Yota Otachi , Pascal Schweitzer , Jun Tarui

The success of DNNs and their high computational requirements pushed for large codesign efforts aiming at DNN acceleration. Since DNNs can be represented as static computational graphs, static memory allocation and tiling are two crucial…

Hardware Architecture · Computer Science 2025-04-08 Victor J. B. Jung , Alessio Burrello , Francesco Conti , Luca Benini

The successor and predecessor problem consists of obtaining the closest value in a set of integers, greater/smaller than a given value. This problem has interesting applications, like the intersection of inverted lists. It can be easily…

Data Structures and Algorithms · Computer Science 2020-02-27 Adrián Gómez-Brandón

Data management applications store their data using structured files in which data are usually sorted to serve indexing and queries. However, in-place insertions and removals of data are not naturally supported in a file's address space. To…

Operating Systems · Computer Science 2021-08-06 Chen Chen , Wenshao Zhong , Xingbo Wu

In this article, we study the efficient dynamical computation of all-pairs SimRanks on time-varying graphs. Li {\em et al}.'s approach requires $O(r^4 n^2)$ time and $O(r^2 n^2)$ memory in a graph with $n$ nodes, where $r$ is the target…

Databases · Computer Science 2017-11-02 Weiren Yu , Xuemin Lin , Wenjie Zhang , Julie A. McCann

Given an array of size $n$ from a total order, we consider the problem of constructing a data structure that supports various queries (range minimum/maximum queries with their variants and next/previous larger/smaller queries) efficiently.…

Data Structures and Algorithms · Computer Science 2025-06-05 Seungbum Jo , Geunho Kim

The \emph{Order-Maintenance} (OM) data structure maintains a total order list of items for insertions, deletions, and comparisons. As a basic data structure, OM has many applications, such as maintaining the topological order, core numbers,…

Data Structures and Algorithms · Computer Science 2024-10-15 Bin Guo , Emil Sekerinski

The ROOT TTree data format encodes hundreds of petabytes of High Energy and Nuclear Physics events. Its columnar layout drives rapid analyses, as only those parts ("branches") that are really used in a given analysis need to be read from…

Databases · Computer Science 2021-02-03 Jakob Blomer , Philippe Canal , Axel Naumann , Danilo Piparo

In this paper we consider methods for dynamically storing a set of different objects ("modules") in a physical array. Each module requires one free contiguous subinterval in order to be placed. Items are inserted or removed, resulting in a…

Data Structures and Algorithms · Computer Science 2011-01-31 Michael A. Bender , Sándor P. Fekete , Tom Kamphans , Nils Schweer

An optimal binary search tree for an access sequence on elements is a static tree that minimizes the total search cost. Constructing perfectly optimal binary search trees is expensive so the most efficient algorithms construct almost…

Data Structures and Algorithms · Computer Science 2018-06-28 Mordecai Golin , John Iacono , Stefan Langerman , J. Ian Munro , Yakov Nekrich

We extend the Faulty RAM model by Finocchi and Italiano (2008) by adding a safe memory of arbitrary size $S$, and we then derive tradeoffs between the performance of resilient algorithmic techniques and the size of the safe memory. Let…

Data Structures and Algorithms · Computer Science 2015-04-03 Lorenzo De Stefani , Francesco Silvestri

Priority queues are container data structures essential to many high performance computing (HPC) applications. In this paper, we introduce multiresolution priority queues, a data structure that improves the performance of the standard heap…

Data Structures and Algorithms · Computer Science 2017-08-11 Jordi Ros-Giralt , Alan Commike , Peter Cullen , Jeff Lucovsky , Dilip Madathil , Richard Lethin

Iterators are a fundamental programming abstraction for traversing and modifying elements in containers in mainstream imperative languages such as C++. Iterators provide a uniform access mechanism that hides low-level implementation details…

Programming Languages · Computer Science 2026-04-16 Yihe Li , Gregory J. Duck

In this paper we study the problem of maintaining the strongly connected components of a graph in the presence of failures. In particular, we show that given a directed graph $G=(V,E)$ with $n=|V|$ and $m=|E|$, and an integer value $k\geq…

Data Structures and Algorithms · Computer Science 2017-04-25 Surender Baswana , Keerti Choudhary , Liam Roditty
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