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Modern tracking technology has made the collection of large numbers of densely sampled trajectories of moving objects widely available. We consider a fundamental problem encountered when analysing such data: Given $n$ polygonal curves $S$…

Computational Geometry · Computer Science 2017-07-18 Peyman Afshani , Anne Driemel

In the range $\alpha$-majority query problem, we are given a sequence $S[1..n]$ and a fixed threshold $\alpha \in (0, 1)$, and are asked to preprocess $S$ such that, given a query range $[i..j]$, we can efficiently report the symbols that…

Data Structures and Algorithms · Computer Science 2018-05-24 Travis Gagie , Meng He , Gonzalo Navarro

A longest repeat query on a string, motivated by its applications in many subfields including computational biology, asks for the longest repetitive substring(s) covering a particular string position (point query). In this paper, we extend…

Data Structures and Algorithms · Computer Science 2015-11-10 Bojian Xu

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

A critical component to enabling intelligent reasoning in partially observable environments is memory. Despite this importance, Deep Reinforcement Learning (DRL) agents have so far used relatively simple memory architectures, with the main…

Machine Learning · Computer Science 2017-02-28 Emilio Parisotto , Ruslan Salakhutdinov

A mesh is a graph that divides physical space into regularly-shaped regions. Meshes computations form the basis of many applications, e.g. finite-element methods, image rendering, and collision detection. In one important mesh primitive,…

Data Structures and Algorithms · Computer Science 2009-10-05 Michael A. Bender , Bradley C. Kuszmaul , Shang-Hua Teng , Kebin Wang

Distributed AI systems face critical memory management challenges across computation, communication, and deployment layers. RRAM based in memory computing suffers from scalability limitations due to device non idealities and fixed array…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Zixuan Li , Chuanzhen Wang , Haotian Sun

Learning-augmented data structures use predicted frequency estimates to retrieve frequently occurring database elements faster than standard data structures. Recent work has developed data structures that optimally exploit these frequency…

Information Retrieval · Computer Science 2025-10-02 Prabhav Goyal , Vinesh Sridhar , Wilson Zheng

In many machine learning tasks, a common approach for dealing with large-scale data is to build a small summary, {\em e.g.,} coreset, that can efficiently represent the original input. However, real-world datasets usually contain outliers…

Machine Learning · Computer Science 2022-01-24 Zixiu Wang , Yiwen Guo , Hu Ding

We present an approach for agents to learn representations of a global map from sensor data, to aid their exploration in new environments. To achieve this, we embed procedures mimicking that of traditional Simultaneous Localization and…

Machine Learning · Computer Science 2021-01-01 Jingwei Zhang , Lei Tai , Ming Liu , Joschka Boedecker , Wolfram Burgard

This paper investigates the MaxRS problem in spatial databases. Given a set O of weighted points and a rectangular region r of a given size, the goal of the MaxRS problem is to find a location of r such that the sum of the weights of all…

Databases · Computer Science 2012-08-02 Dong-Wan Choi , Chin-Wan Chung , Yufei Tao

A skip graph is a resilient application-layer routing structure that supports range queries of distributed k-dimensional data. By sorting deterministic keys into groups based on locally computed random membership vectors, nodes in a…

Information Theory · Computer Science 2024-11-27 Gregory J. Brault , Christopher James Augeri , Barry E. Mullins , Rusty O. Baldwin , Christopher B. Mayer

The longest common prefix (LCP) array is a versatile auxiliary data structure in indexed string matching. It can be used to speed up searching using the suffix array (SA) and provides an implicit representation of the topology of an…

Data Structures and Algorithms · Computer Science 2016-03-09 German Tischler

We study the amortized number of combinatorial changes (edge insertions and removals) needed to update the graph structure of the Voronoi diagram $\mathcal{V}(S)$ (and several variants thereof) of a set $S$ of $n$ sites in the plane as…

Computational Geometry · Computer Science 2016-03-29 Sarah R. Allen , Luis Barba , John Iacono , Stefan Langerman

We describe a data structure that supports access, rank and select queries, as well as symbol insertions and deletions, on a string $S[1,n]$ over alphabet $[1..\sigma]$ in time $O(\lg n/\lg\lg n)$, which is optimal even on binary sequences…

Data Structures and Algorithms · Computer Science 2013-02-04 Gonzalo Navarro , Yakov Nekrich

We give a new construction for a small space summary satisfying the coreset guarantee of a data set with respect to the $k$-means objective function. The number of points required in an offline construction is in $\tilde{O}(k…

Data Structures and Algorithms · Computer Science 2020-02-19 Marc Bury , Chris Schwiegelshohn

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

Neural networks powered with external memory simulate computer behaviors. These models, which use the memory to store data for a neural controller, can learn algorithms and other complex tasks. In this paper, we introduce a new memory to…

Neural and Evolutionary Computing · Computer Science 2019-12-30 Hung Le , Truyen Tran , Svetha Venkatesh

In this paper we present a discrete data structure for reservations of limited resources. A reservation is defined as a tuple consisting of the time interval of when the resource should be reserved, $I_R$, and the amount of the resource…

Data Structures and Algorithms · Computer Science 2007-05-23 Andrej Brodnik , Andreas Nilsson

We present bundled references, a new building block to provide linearizable range query operations for highly concurrent lock-based linked data structures. Bundled references allow range queries to traverse a path through the data structure…

Data Structures and Algorithms · Computer Science 2022-06-30 Jacob Nelson-Slivon , Ahmed Hassan , Roberto Palmieri