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In algorithms for finite metric spaces, it is common to assume that the distance between two points can be computed in constant time, and complexity bounds are expressed only in terms of the number of points of the metric space. We…

Computational Geometry · Computer Science 2019-01-28 Michael Kerber , Arnur Nigmetov

This paper introduces a new definition of multiscale neighborhoods in 3D point clouds. This definition, based on spherical neighborhoods and proportional subsampling, allows the computation of features with a consistent geometrical meaning,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-03 Hugues Thomas , Jean-Emmanuel Deschaud , Beatriz Marcotegui , François Goulette , Yann Le Gall

In this paper, we formulate a top-k query that compares objects in a database to a user-provided query object on a novel scoring function. The proposed scoring function combines the idea of attractive and repulsive dimensions into a general…

Databases · Computer Science 2011-12-01 Sayan Ranu , Ambuj K. Singh

Nearest neighbor search has found numerous applications in machine learning, data mining and massive data processing systems. The past few years have witnessed the popularity of the graph-based nearest neighbor search paradigm because of…

Machine Learning · Computer Science 2020-12-22 Hongya Wang , Zhizheng Wang , Wei Wang , Yingyuan Xiao , Zeng Zhao , Kaixiang Yang

Near neighbor search (NNS) is a powerful abstraction for data access; however, data indexing is troublesome even for approximate indexes. For intrinsically high-dimensional data, high-quality fast searches demand either indexes with…

Data Structures and Algorithms · Computer Science 2021-06-30 Eric S. Tellez , Guillermo Ruiz , Edgar Chavez , Mario Graff

The facility location problem is a well-known challenge in logistics that is proven to be NP-hard. In this paper we specifically simulate the geographical placement of facilities to provide adequate service to customers. Determining…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

Long-established ranking approaches, such as top-k and skyline queries, have been thoroughly discussed and their drawbacks are well acknowledged. New techniques have been developed in recent years that try to combine traditional ones to…

Databases · Computer Science 2022-02-23 Davide Foini

This paper presents a new model for solving the optimal server location problem in a spatial hypercube queueing model. Unlike deterministic location models, our approach accounts for server availability, varying utilization levels, and…

Optimization and Control · Mathematics 2025-11-21 Cheng Hua , Arthur J. Swersey , Wenqian Xing , Yi Zhang

Due to the ubiquity of spatial data applications and the large amounts of spatial data that these applications generate and process, there is a pressing need for scalable spatial query processing. In this paper, we present new techniques…

Databases · Computer Science 2019-07-17 Mingjie Tang , Yongyang Yu , Walid G. Aref , Ahmed R. Mahmood , Qutaibah M. Malluhi , Mourad Ouzzani

The trip planning query searches for preferred routes starting from a given point through multiple Point-of-Interests (PoI) that match user requirements. Although previous studies have investigated trip planning queries, they lack…

Databases · Computer Science 2020-09-09 Yuya Sasaki , Yoshiharu Ishikawa , Yasuhiro Fujiwara , Makoto Onizuka

Performances on standard 3D point cloud benchmarks have plateaued, resulting in oversized models and complex network design to make a fractional improvement. We present an alternative to enhance existing deep neural networks without any…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Renrui Zhang , Liuhui Wang , Ziyu Guo , Jianbo Shi

Nowadays, efficient and effective processing over massive stream data has attracted much attention from the database community, which are useful in many real applications such as sensor data monitoring, network intrusion detection, and so…

Databases · Computer Science 2019-09-27 Weilong Ren , Xiang Lian , Kambiz Ghazinour

Nearest Neighbor Search (NNS) is a central task in knowledge representation, learning, and reasoning. There is vast literature on efficient algorithms for constructing data structures and performing exact and approximate NNS. This paper…

Machine Learning · Statistics 2021-03-10 Blake Mason , Ardhendu Tripathy , Robert Nowak

In this paper, we propose and study the problem of top-m rank aggregation of spatial objects in streaming queries, where, given a set of objects O, a stream of spatial queries (kNN or range), the goal is to report m objects with the highest…

Databases · Computer Science 2016-10-24 Farhana M. Choudhury , Zhifeng Bao , J. Shane Culpepper , Timos Sellis

Location Based Services (LBS) have become extremely popular and used by millions of users. Popular LBS run the entire gamut from mapping services (such as Google Maps) to restaurants (such as Yelp) and real-estate (such as Redfin). The…

Feature correspondence selection is pivotal to many feature-matching based tasks in computer vision. Searching for spatially k-nearest neighbors is a common strategy for extracting local information in many previous works. However, there is…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Chen Zhao , Zhiguo Cao , Chi Li , Xin Li , Jiaqi Yang

We explored ways of doing spatial search within a relational database: (1) hierarchical triangular mesh (a tessellation of the sphere), (2) a zoned bucketing system, and (3) representing areas as disjunctive-normal form constraints. Each of…

We study the k nearest neighbors problem in the plane for general, convex, pairwise disjoint sites of constant description complexity such as line segments, disks, and quadrilaterals and with respect to a general family of distance…

Computational Geometry · Computer Science 2019-10-29 Chih-Hung Liu

Finding nearest neighbors in high-dimensional spaces is a fundamental operation in many multimedia retrieval applications. Exact tree-based indexing approaches are known to suffer from the notorious curse of dimensionality for…

Databases · Computer Science 2021-02-16 Omid Jafari , Parth Nagarkar

We present the first sublinear memory sketch that can be queried to find the nearest neighbors in a dataset. Our online sketching algorithm compresses an N element dataset to a sketch of size $O(N^b \log^3 N)$ in $O(N^{(b+1)} \log^3 N)$…

Data Structures and Algorithms · Computer Science 2020-09-15 Benjamin Coleman , Richard G. Baraniuk , Anshumali Shrivastava
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