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Topk queries and skyline queries have well explored limitations which recent research have tried to complete through new techniques. In this survey, after resuming such limitations, we consider Restricted Skyline Queries, ORD and ORU…

Databases · Computer Science 2022-01-25 Martino Manzolini

The polygon retrieval problem on points is the problem of preprocessing a set of $n$ points on the plane, so that given a polygon query, the subset of points lying inside it can be reported efficiently. It is of great interest in areas such…

Computational Geometry · Computer Science 2009-07-30 Spyros Sioutas , Dimitrios Sofotassios , Kostas Tsichlas , Dimitrios Sotiropoulos , Panayiotis Vlamos

The computation of the skyline provides a mechanism for utilizing multiple location-based criteria to identify optimal data points. However, the efficiency of these computations diminishes and becomes more challenging as the input data…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-05 Chen Li , Ye Zhu , Yang Cao , Jinli Zhang , Annisa Annisa , Debo Cheng , Yasuhiko Morimoto

Given an array A containing arbitrary (positive and negative) numbers, we consider the problem of supporting range maximum-sum segment queries on A: i.e., given an arbitrary range [i,j], return the subrange [i' ,j' ] \subseteq [i,j] such…

Data Structures and Algorithms · Computer Science 2015-06-12 Pawel Gawrychowski , Patrick K. Nicholson

We consider the problem of privately answering queries defined on databases which are collections of points belonging to some metric space. We give simple, computationally efficient algorithms for answering distance queries defined over an…

Data Structures and Algorithms · Computer Science 2012-12-03 Zhiyi Huang , Aaron Roth

We consider the problem of preprocessing $N$ points in 2D, each endowed with a priority, to answer the following queries: given a axis-parallel rectangle, determine the point with the largest priority in the rectangle. Using the ideas of…

Data Structures and Algorithms · Computer Science 2012-04-24 Arash Farzan , J. Ian Munro , Rajeev Raman

We consider the problem of computing a sequence of range minimum queries. We assume a sequence of commands that contains values and queries. Our goal is to quickly determine the minimum value that exists between the current position and a…

Data Structures and Algorithms · Computer Science 2021-02-19 Luís M. S. Russo

Previous work has shown that the problem of learning the optimal structure of a Bayesian network can be formulated as a shortest path finding problem in a graph and solved using A* search. In this paper, we improve the scalability of this…

Artificial Intelligence · Computer Science 2012-02-20 Brandon Malone , Changhe Yuan , Eric A. Hansen , Susan Bridges

We consider the following problem: Preprocess a set $\mathcal{S}$ of $n$ axis-parallel boxes in $\mathbb{R}^d$ so that given a query of an axis-parallel box in $\mathbb{R}^d$, the pairs of boxes of $\mathcal{S}$ whose intersection…

Computational Geometry · Computer Science 2018-01-24 Eunjin Oh , Hee-Kap Ahn

Skyline computation is an essential database operation that has many applications in multi-criteria decision making scenarios such as recommender systems. Existing algorithms have focused on checking point domination, which lack efficiency…

Databases · Computer Science 2021-07-22 Chuanwen Li , Yu Gu , Jianzhong Qi , Ge Yu

Approximate nearest-neighbor search is a fundamental algorithmic problem that continues to inspire study due its essential role in numerous contexts. In contrast to most prior work, which has focused on point sets, we consider…

Computational Geometry · Computer Science 2021-04-01 Ahmed Abdelkader , David M. Mount

Branching programs are quite popular for studying time-space lower bounds. Bera et al. recently introduced the model of generalized quantum branching program aka. GQBP that generalized two earlier models of quantum branching programs. In…

Quantum Physics · Physics 2024-10-08 Debajyoti Bera , Tharrmashastha SAPV

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

We present efficient data structures for approximate nearest neighbor searching and approximate 2-point shortest path queries in a two-dimensional polygonal domain $P$ with $n$ vertices. Our goal is to store a dynamic set of $m$ point sites…

Computational Geometry · Computer Science 2026-03-13 Joost van der Laan , Frank Staals , Lorenzo Theunissen

Stencil computations on low dimensional grids are kernels of many scientific applications including finite difference methods used to solve partial differential equations. On typical modern computer architectures, such stencil computations…

Computational Complexity · Computer Science 2015-01-23 Philipp Hupp , Riko Jacob

Let $P$ be a set of $n$ points in ${\mathbb R}^{d}$. A point $p \in P$ is $k$\emph{-shallow} if it lies in a halfspace which contains at most $k$ points of $P$ (including $p$). We show that if all points of $P$ are $k$-shallow, then $P$ can…

Computational Geometry · Computer Science 2013-12-24 Micha Sharir , Shai Zaban

In the static retrieval problem, a data structure must answer retrieval queries mapping a set of $n$ keys in a universe $[U]$ to $v$-bit values. Information-theoretically, retrieval data structures can use as little as $nv$ bits of space.…

Data Structures and Algorithms · Computer Science 2025-10-22 Yang Hu , William Kuszmaul , Jingxun Liang , Huacheng Yu , Junkai Zhang , Renfei Zhou

Given a conjunctive query and a database instance, we aim to develop an index that can efficiently answer spatial queries on the results of a conjunctive query. We are interested in some commonly used spatial queries, such as range…

Databases · Computer Science 2025-09-15 Aryan Esmailpour , Xiao Hu , Stavros Sintos

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

Skyline queries typically search a Pareto-optimal set from a given data set to solve the corresponding multiobjective optimization problem. As the number of criteria increases, the skyline presumes excessive data items, which yield a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Chuan-Chi Lai , Hsuan-Yu Lin , Chuan-Ming Liu