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Similarity measures play a fundamental role in memory-based nearest neighbors approaches. They recommend items to a user based on the similarity of either items or users in a neighborhood. In this paper we argue that, although it keeps a…

Information Retrieval · Computer Science 2019-07-05 Vito Walter Anelli , Joseph Trotta , Tommaso Di Noia , Eugenio Di Sciascio , Azzurra Ragone

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

Information Retrieval · Computer Science 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

Consider observation data, comprised of n observation vectors with values on a set of attributes. This gives us n points in attribute space. Having data structured as a tree, implied by having our observations embedded in an ultrametric…

Information Retrieval · Computer Science 2012-02-17 Fionn Murtagh , Pedro Contreras

In the realizable online setting, a learner is tasked with making predictions for a stream of instances, where the correct answer is revealed after each prediction. A learning rule is online consistent if its mistake rate eventually…

Machine Learning · Computer Science 2024-11-01 Sanjoy Dasgupta , Geelon So

Neighborhood finders and nearest neighbor queries are fundamental parts of sampling based motion planning algorithms. Using different distance metrics or otherwise changing the definition of a neighborhood produces different algorithms with…

Robotics · Computer Science 2025-06-17 Stav Ashur , Nancy M. Amato , Sariel Har-Peled

We investigate the problem of finding reverse nearest neighbors efficiently. Although provably good solutions exist for this problem in low or fixed dimensions, to this date the methods proposed in high dimensions are mostly heuristic. We…

Computational Geometry · Computer Science 2010-11-24 David Arthur , Steve Y. Oudot

A nearest neighbor representation of a Boolean function is a set of positive and negative prototypes in $R^n$ such that the function has value 1 on an input iff the closest prototype is positive. For $k$-nearest neighbor representation the…

Combinatorics · Mathematics 2020-04-07 Péter Hajnal , Zhihao Liu , György Turán

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

Rank-based linkage is a new tool for summarizing a collection $S$ of objects according to their relationships. These objects are not mapped to vectors, and ``similarity'' between objects need be neither numerical nor symmetrical. All an…

Combinatorics · Mathematics 2026-03-25 R. W. R. Darling , Will Grilliette , Adam Logan

We consider a class of random matching problems where the distance between two points has a probability law which, for a small distance l, goes like l^r. In the framework of the cavity method, in the limit of an infinite number of points,…

Statistical Mechanics · Physics 2009-10-31 G. Parisi , M. Ratieville

K-nearest neighbor (kNN) search has wide applications in many areas, including data mining, machine learning, statistics and many applied domains. Inspired by the success of ensemble methods and the flexibility of tree-based methodology, we…

Machine Learning · Statistics 2020-05-27 Donghui Yan , Yingjie Wang , Jin Wang , Honggang Wang , Zhenpeng Li

Traditional spatial queries return, for a given query object $q$, all database objects that satisfy a given predicate, such as epsilon range and $k$-nearest neighbors. This paper defines and studies {\em inverse} spatial queries, which,…

This paper reconsiders common benchmarking approaches to nearest neighbor search. It is shown that the concept of local intrinsic dimensionality (LID) allows to choose query sets of a wide range of difficulty for real-world datasets.…

Information Retrieval · Computer Science 2019-07-18 Martin Aumüller , Matteo Ceccarello

With the growing focus on semantic searches and interpretations, an increasing number of standardized vocabularies and ontologies are being designed and used to describe data. We investigate the querying of objects described by a…

Databases · Computer Science 2010-03-09 Arnab Bhattacharya , Abhishek Bhowmick , Ambuj K. Singh

Search query variation poses a challenge in e-commerce search, as equivalent search intents can be expressed through different queries with surface-level differences. This paper introduces a framework to recognize and leverage query…

Information Retrieval · Computer Science 2023-08-09 Aritra Mandal , Daniel Tunkelang , Zhe Wu

Person search targets to search the probe person from the unconstrainted scene images, which can be treated as the combination of person detection and person matching. However, the existing methods based on the Detection-Matching framework…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Hantao Yao , Changsheng Xu

The nearest neighbor (NN) technique is very simple, highly efficient and effective in the field of pattern recognition, text categorization, object recognition etc. Its simplicity is its main advantage, but the disadvantages can't be…

Computer Vision and Pattern Recognition · Computer Science 2010-07-02 Nitin Bhatia , Vandana

In this paper, we study top-$k$ aggregate (or group) nearest neighbor queries using the weighted SUM operator under the $L_1$ metric in the plane. Given a set $P$ of $n$ points, for any query consisting of a set $Q$ of $m$ weighted points…

Computational Geometry · Computer Science 2014-12-02 Haitao Wang , Wuzhou Zhang

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

Many objects are represented as high-dimensional vectors nowadays. In this setting, the relevance between two objects (vectors) is usually evaluated by their inner product. Recently, item-centric searches, which search for users relevant to…

Databases · Computer Science 2025-04-21 Daichi Amagata , Kazuyoshi Aoyama , Keito Kido , Sumio Fujita