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This paper proposes round-hashing, which is suitable for data storage on distributed servers and for implementing external-memory tables in which each lookup retrieves at most a single block of external memory, using a stash. For data…

Data Structures and Algorithms · Computer Science 2018-05-09 Roberto Grossi , Luca Versari

We study dynamic planar point location in the External Memory Model or Disk Access Model (DAM). Previous work in this model achieves polylog query and polylog amortized update time. We present a data structure with $O( \log_B^2 N)$ query…

Data Structures and Algorithms · Computer Science 2022-03-31 John Iacono , Ben Karsin , Grigorios Koumoutsos

In this paper we consider a variant of the orthogonal range reporting problem when all points should be reported in the sorted order of their $x$-coordinates. We show that reporting two-dimensional points with this additional condition can…

Data Structures and Algorithms · Computer Science 2012-04-26 Yakov Nekrich , Gonzalo Navarro

In this work, we present a collection of new results on two fundamental problems in geometric data structures: orthogonal point location and rectangle stabbing. -We give the first linear-space data structure that supports 3-d point location…

Computational Geometry · Computer Science 2018-05-23 Timothy M. Chan , Yakov Nekrich , Saladi Rahul , Konstantinos Tsakalidis

A priority queue is a fundamental data structure that maintains a dynamic set of (key, priority)-pairs and supports Insert, Delete, ExtractMin and DecreaseKey operations. In the external memory model, the current best priority queue…

Data Structures and Algorithms · Computer Science 2018-06-21 Shunhua Jiang , Kasper Green Larsen

In the age of big data, sorting is an indispensable operation for DBMSes and similar systems. Having data sorted can help produce query plans with significantly lower run times. It also can provide other benefits like having non-blocking…

Databases · Computer Science 2022-07-27 Michael Polyntsov , Valentin Grigorev , Kirill Smirnov , George Chernishev

We consider the dictionary problem in external memory and improve the update time of the well-known buffer tree by roughly a logarithmic factor. For any \lambda >= max {lg lg n, log_{M/B} (n/B)}, we can support updates in time O(\lambda /…

Data Structures and Algorithms · Computer Science 2011-04-15 John Iacono , Mihai Pǎtraşcu

In this paper we present several novel efficient techniques and multidimensional data structures which can improve the decision making process in many domains. We consider online range aggregation, range selection and range weighted median…

Computational Geometry · Computer Science 2010-01-12 Madalina Ecaterina Andreica , Mugurel Ionut Andreica , Nicolae Cataniciu

This thesis presents a number of results related to path traversal in trees and graphs. In particular, we focus on data structures which allow such traversals to be performed efficiently in the external memory setting. In addition, for…

Data Structures and Algorithms · Computer Science 2013-08-22 Craig Dillabaugh

A priority queue is a fundamental data structure that maintains a dynamic ordered set of keys and supports the followig basic operations: insertion of a key, deletion of a key, and finding the smallest key. The complexity of the priority…

Data Structures and Algorithms · Computer Science 2012-07-19 Zhewei Wei , Ke Yi

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

In the planar range skyline reporting problem, we store a set P of n 2D points in a structure such that, given a query rectangle Q = [a_1, a_2] x [b_1, b_2], the maxima (a.k.a. skyline) of P \cap Q can be reported efficiently. The query is…

Data Structures and Algorithms · Computer Science 2013-06-13 Casper Kejlberg-Rasmussen , Yufei Tao , Konstantinos Tsakalidis , Kostas Tsichlas , Jeonghun Yoon

The increasing size of neural networks has led to a growing demand for methods of efficient fine-tuning. Recently, an orthogonal fine-tuning paradigm was introduced that uses orthogonal matrices for adapting the weights of a pretrained…

Machine Learning · Computer Science 2024-06-17 Mikhail Gorbunov , Nikolay Yudin , Vera Soboleva , Aibek Alanov , Alexey Naumov , Maxim Rakhuba

We propose the design and an implementation of a bulk-parallel external memory priority queue to take advantage of both shared-memory parallelism and high external memory transfer speeds to parallel disks. To achieve higher performance by…

Data Structures and Algorithms · Computer Science 2015-04-03 Timo Bingmann , Thomas Keh , Peter Sanders

We study the ability of linear recurrent networks obeying discrete time dynamics to store long temporal sequences that are retrievable from the instantaneous state of the network. We calculate this temporal memory capacity for both…

Disordered Systems and Neural Networks · Physics 2009-11-10 Olivia L. White , Daniel D. Lee , Haim Sompolinsky

We consider strategies to organize easily updatable associative arrays in external memory. These arrays are used for full-text search. We study indexes with different keys: single word form, two word forms, and sequences of word forms. The…

Information Retrieval · Computer Science 2020-07-21 Alexander B. Veretennikov

As the gap between compute and I/O performance tends to grow, modern High-Performance Computing (HPC) architectures include a new resource type: an intermediate persistent fast memory layer, called burst buffers. This is just one of many…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Adrian Naruszko , Bartłomiej Przybylski , Krzysztof Rzadca

Residual connections are pivotal for deep neural networks, enabling greater depth by mitigating vanishing gradients. However, in standard residual updates, the module's output is directly added to the input stream. This can lead to updates…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Giyeong Oh , Woohyun Cho , Siyeol Kim , Suhwan Choi , Youngjae Yu

In this paper, we revisit the question of how the dynamic optimality of search trees should be defined in external memory. A defining characteristic of external-memory data structures is that there is a stark asymmetry between queries and…

Data Structures and Algorithms · Computer Science 2022-04-22 Michael A. Bender , Martín Farach-Colton , William Kuszmaul

Traditional orthogonal range problems allow queries over a static set of points, each with some value. Dynamic variants allow points to be added or removed, one at a time. To support more powerful updates, we introduce the Grid Range class…

Data Structures and Algorithms · Computer Science 2021-01-07 Joshua Lau , Angus Ritossa