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Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

Data Structures and Algorithms · Computer Science 2017-04-07 Ke Li , Jitendra Malik

The t-distributed Stochastic Neighbor Embedding (t-SNE) is a powerful and popular method for visualizing high-dimensional data. It minimizes the Kullback-Leibler (KL) divergence between the original and embedded data distributions. In this…

Machine Learning · Computer Science 2018-11-06 Daniel Jiwoong Im , Nakul Verma , Kristin Branson

Most approaches that tackle the problem of node classification consider nodes to be similar, if they have shared neighbors or are close to each other in the graph. Recent methods for attributed graphs additionally take attributes of…

Machine Learning · Computer Science 2018-05-23 Evgeniy Faerman , Felix Borutta , Julian Busch , Matthias Schubert

Data streams are often defined as large amounts of data flowing continuously at high speed. Moreover, these data are likely subject to changes in data distribution, known as concept drift. Given all the reasons mentioned above, learning…

In this paper we revisit the kernel density estimation problem: given a kernel $K(x, y)$ and a dataset of $n$ points in high dimensional Euclidean space, prepare a data structure that can quickly output, given a query $q$, a…

Data Structures and Algorithms · Computer Science 2020-11-16 Moses Charikar , Michael Kapralov , Navid Nouri , Paris Siminelakis

Wireless sensor networks (WSNs) are emerging as an effective means for environment monitoring. This paper investigates a strategy for energy efficient monitoring in WSNs that partitions the sensors into covers, and then activates the covers…

Data Structures and Algorithms · Computer Science 2007-05-23 Zoe Abrams , Ashish Goel , Serge Plotkin

This is an algorithm for finding neighbors when the objects can freely move and have no predefined position. The query consists in finding neighbors for a center location and a given radius. Space is discretized in cubic cells. This…

Data Structures and Algorithms · Computer Science 2007-05-23 Nicolas Brodu

We suggest a robust nearest-neighbor approach to classifying high-dimensional data. The method enhances sensitivity by employing a threshold and truncates to a sequence of zeros and ones in order to reduce the deleterious impact of…

Statistics Theory · Mathematics 2009-09-02 Yao-ban Chan , Peter Hall

Nearest neighbor (NN) problem is an important scientific problem. The NN query, to find the closest one to a given query point among a set of points, is widely used in applications such as density estimation, pattern classification,…

Databases · Computer Science 2019-11-11 Yang Li , Gang Liu , Junbin Gao , Zhenwen He , Mingyuan Bai , Chengjun Li

This paper proposes an inexpensive way to learn an effective dissimilarity function to be used for $k$-nearest neighbor ($k$-NN) classification. Unlike Mahalanobis metric learning methods that map both query (unlabeled) objects and labeled…

Machine Learning · Computer Science 2020-08-31 Yutaro Shigeto , Masashi Shimbo , Yuji Matsumoto

This paper considers an estimation of semiparametric functional (varying)-coefficient quantile regression with spatial data. A general robust framework is developed that treats quantile regression for spatial data in a natural…

Statistics Theory · Mathematics 2014-02-06 Zudi Lu , Qingguo Tang , Longsheng Cheng

We consider machine learning in a comparison-based setting where we are given a set of points in a metric space, but we have no access to the actual distances between the points. Instead, we can only ask an oracle whether the distance…

Machine Learning · Statistics 2017-04-06 Siavash Haghiri , Debarghya Ghoshdastidar , Ulrike von Luxburg

This paper presents a new solution for choosing the K parameter in the k-nearest neighbor (KNN) algorithm, the solution depending on the idea of ensemble learning, in which a weak KNN classifier is used each time with a different K,…

Machine Learning · Computer Science 2014-09-04 Ahmad Basheer Hassanat , Mohammad Ali Abbadi , Ghada Awad Altarawneh , Ahmad Ali Alhasanat

The k-d tree is a classic binary space-partitioning tree used to organize points in k-dimensional space. While used in computational geometry and graphics, the data structure has a long history of application in nearest neighbor search. The…

Logic in Computer Science · Computer Science 2023-11-21 Nadeem Abdul Hamid

Kriging is the predominant method used for spatial prediction, but relies on the assumption that predictions are linear combinations of the observations. Kriging often also relies on additional assumptions such as normality and…

Machine Learning · Statistics 2019-03-29 Haoyu Wang , Yawen Guan , Brian J Reich

This paper presents a kernelized version of the t-SNE algorithm, capable of mapping high-dimensional data to a low-dimensional space while preserving the pairwise distances between the data points in a non-Euclidean metric. This can be…

Machine Learning · Computer Science 2023-11-22 Denis C. Ilie-Ablachim , Bogdan Dumitrescu , Cristian Rusu

Supervised statistical classification is a vital tool for satellite image processing. It is useful not only when a discrete result, such as feature extraction or surface type, is required, but also for continuum retrievals by dividing the…

Atmospheric and Oceanic Physics · Physics 2016-02-05 Peter Mills

Nearest neighbor search is known as a challenging issue that has been studied for several decades. Recently, this issue becomes more and more imminent in viewing that the big data problem arises from various fields. In this paper, a…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Wan-Lei Zhao , Jie Yang , Cheng-Hao Deng

t-Stochastic Neighbor Embedding (t-SNE) is a non-parametric data visualization method in classical machine learning. It maps the data from the high-dimensional space into a low-dimensional space, especially a two-dimensional plane, while…

Quantum Physics · Physics 2022-02-10 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

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