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A $k$-nearest neighbor ($k$NN) query determines the $k$ nearest points, using distance metrics, from a specific location. An all $k$-nearest neighbor (A$k$NN) query constitutes a variation of a $k$NN query and retrieves the $k$ nearest…

Databases · Computer Science 2014-02-28 Nikolaos Nodarakis , Spyros Sioutas , Dimitrios Tsoumakos , Giannis Tzimas , Evaggelia Pitoura

The problem of supervised classification (or discrimination) with functional data is considered, with a special interest on the popular k-nearest neighbors (k-NN) classifier. First, relying on a recent result by Cerou and Guyader (2006), we…

Machine Learning · Statistics 2008-06-18 Amparo Baillo , Antonio Cuevas

This paper presents how to perform minimax optimal classification, regression, and density estimation based on fixed-$k$ nearest neighbor (NN) searches. We consider a distributed learning scenario, in which a massive dataset is split into…

Statistics Theory · Mathematics 2024-09-11 J. Jon Ryu , Young-Han Kim

This paper computationally demonstrates a sharp improvement in predictive performance for $k$ nearest neighbors thanks to an efficient forward selection of the predictor variables. We show both simulated and real-world data that this novel…

Machine Learning · Statistics 2022-11-07 Eddie Pei , Ernest Fokoue

This paper proposes a soft range limited K nearest neighbours (SRL-KNN) localization fingerprinting algorithm. The conventional KNN determines the neighbours of a user by calculating and ranking the fingerprint distance measured at the…

Signal Processing · Electrical Eng. & Systems 2022-11-09 Minh Tu Hoang , Yizhou Zhu , Brosnan Yuen , Tyler Reese , Xiaodai Dong , Tao Lu , Robert Westendorp , Michael Xie

The k-nearest neighbors (k-NN) is a basic machine learning (ML) algorithm, and several quantum versions of it, employing different distance metrics, have been presented in the last few years. Although the Euclidean distance is one of the…

Emerging Technologies · Computer Science 2024-04-25 Enrico Zardini , Enrico Blanzieri , Davide Pastorello

The article deals with the issue of modification of metric classification algorithms. In particular, it studies the algorithm k-Nearest Neighbours for its application to sequential data. A method of generalization of metric classification…

Machine Learning · Computer Science 2016-12-19 Roman Samarev , Andrey Vasnetsov , Elizaveta Smelkova

We consider semi-supervised regression when the predictor variables are drawn from an unknown manifold. A simple two step approach to this problem is to: (i) estimate the manifold geodesic distance between any pair of points using both the…

Machine Learning · Statistics 2019-09-16 Amit Moscovich , Ariel Jaffe , Boaz Nadler

Among the extensions of twin support vector machine (TSVM), some scholars have utilized K-nearest neighbor (KNN) graph to enhance TSVM's classification accuracy. However, these KNN-based TSVM classifiers have two major issues such as high…

Machine Learning · Computer Science 2019-06-25 A. Mir , Jalal A. Nasiri

The problem of nearest neighbor condensing has enjoyed a long history of study, both in its theoretical and practical aspects. In this paper, we introduce the problem of weighted distance nearest neighbor condensing, where one assigns…

Machine Learning · Computer Science 2023-10-25 Lee-Ad Gottlieb , Timor Sharabi , Roi Weiss

In this paper we apply Conformal Prediction (CP) to the k-Nearest Neighbours Regression (k-NNR) algorithm and propose ways of extending the typical nonconformity measure used for regression so far. Unlike traditional regression methods…

Machine Learning · Computer Science 2014-01-17 Harris Papadopoulos , Vladimir Vovk , Alex Gammerman

We develop a class of nearest-neighbor mixture models that provide direct, computationally efficient, probabilistic modeling for non-Gaussian geospatial data. The class is defined over a directed acyclic graph, which implies conditional…

Methodology · Statistics 2022-06-28 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Pattern recognition constitutes a particularly important task underlying a great deal of scientific and technologica activities. At the same time, pattern recognition involves several challenges, including the choice of features to…

Machine Learning · Computer Science 2024-09-04 Alexandre Benatti , Luciano da F. Costa

The K-Nearest Neighbors (KNN) algorithm is widely used for classification and regression; however, it suffers from limitations, including the equal treatment of all samples. We propose Information-Modified KNN (IM-KNN), a novel approach…

Machine Learning · Computer Science 2025-07-11 Mohammad Ali Vahedifar , Azim Akhtarshenas , Mohammad Mohammadi Rafatpanah , Maryam Sabbaghian

We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size of the training data, resulting in lower storage…

Machine Learning · Statistics 2021-04-06 Patrick Gelß , Stefan Klus , Ingmar Schuster , Christof Schütte

k-Nearest Neighbors is one of the most fundamental but effective classification models. In this paper, we propose two families of models built on a sequence to sequence model and a memory network model to mimic the k-Nearest Neighbors…

Machine Learning · Computer Science 2019-11-28 Yiming Xu , Diego Klabjan

The k-Nearest Neighbor (k-NN) classification algorithm is one of the most widely-used lazy classifiers because of its simplicity and ease of implementation. It is considered to be an effective classifier and has many applications. However,…

Machine Learning · Computer Science 2014-02-13 Stefanos Ougiaroglou , Georgios Evangelidis , Dimitris A. Dervos

Two-sample feature selection is the problem of finding features that describe a difference between two probability distributions, which is a ubiquitous problem in both scientific and engineering studies. However, existing methods have…

Linear regression analysis focuses on predicting a numeric regressand value based on certain regressor values. In this context, k-Nearest Neighbors (k-NN) is a common non-parametric regression algorithm, which achieves efficient performance…

In spatial regression models, spatial heterogeneity may be considered with either continuous or discrete specifications. The latter is related to delineation of spatially connected regions with homogeneous relationships between variables…

Methodology · Statistics 2023-10-17 Hao Guo , Andre Python , Yu Liu
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