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Probabilistic k-nearest neighbour (PKNN) classification has been introduced to improve the performance of original k-nearest neighbour (KNN) classification algorithm by explicitly modelling uncertainty in the classification of each feature…

Machine Learning · Computer Science 2013-05-07 Ji Won Yoon , Nial Friel

The k Nearest Neighbors (kNN) method has received much attention in the past decades, where some theoretical bounds on its performance were identified and where practical optimizations were proposed for making it work fairly well in high…

Machine Learning · Computer Science 2016-06-14 Aleksander Lodwich , Faisal Shafait , Thomas Breuel

The k-nearest-neighbour procedure is a well-known deterministic method used in supervised classification. This paper proposes a reassessment of this approach as a statistical technique derived from a proper probabilistic model; in…

Computation · Statistics 2008-02-12 Lionel Cucala , Jean-Michel Marin , Christian Robert , Mike Titterington

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel

The $K$-nearest neighbors is a basic problem in machine learning with numerous applications. In this problem, given a (training) set of $n$ data points with labels and a query point $p$, we want to assign a label to $p$ based on the labels…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-25 Reza Fathi , Anisur Rahaman Molla , Gopal Pandurangan

k Nearest Neighbor (kNN) method is a simple and popular statistical method for classification and regression. For both classification and regression problems, existing works have shown that, if the distribution of the feature vector has…

Statistics Theory · Mathematics 2019-10-24 Puning Zhao , Lifeng Lai

KNN has the reputation to be the word simplest but efficient supervised learning algorithm used for either classification or regression. KNN prediction efficiency highly depends on the size of its training data but when this training data…

Machine Learning · Computer Science 2021-07-01 Jude Tchaye-Kondi , Yanlong Zhai , Liehuang Zhu

The $k$-nearest neighbor ($k$-NN) algorithm is one of the most popular methods for nonparametric classification. However, a relevant limitation concerns the definition of the number of neighbors $k$. This parameter exerts a direct impact on…

Machine Learning · Computer Science 2024-09-10 Alexandre Luís Magalhães Levada , Frank Nielsen , Michel Ferreira Cardia Haddad

The $k$-nearest neighbor classification method ($k$-NNC) is one of the simplest nonparametric classification methods. The mutual $k$-NN classification method (M$k$NNC) is a variant of $k$-NNC based on mutual neighborship. We propose another…

Machine Learning · Computer Science 2016-08-16 Hyun-Chul Kim

Demands for minimum parameter setup in machine learning models are desirable to avoid time-consuming optimization processes. The $k$-Nearest Neighbors is one of the most effective and straightforward models employed in numerous problems.…

Machine Learning · Computer Science 2022-10-03 Danilo Samuel Jodas , Leandro Aparecido Passos , Ahsan Adeel , João Paulo Papa

Neural network classifiers have become the de-facto choice for current "pre-train then fine-tune" paradigms of visual classification. In this paper, we investigate k-Nearest-Neighbor (k-NN) classifiers, a classical model-free learning…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Menglin Jia , Bor-Chun Chen , Zuxuan Wu , Claire Cardie , Serge Belongie , Ser-Nam Lim

K-Nearest neighbor classifier (k-NNC) is simple to use and has little design time like finding k values in k-nearest neighbor classifier, hence these are suitable to work with dynamically varying data-sets. There exists some fundamental…

Computer Vision and Pattern Recognition · Computer Science 2013-01-29 T. Hitendra Sarma , P. Viswanath , D. Sai Koti Reddy , S. Sri Raghava

The weighted k-nearest neighbors algorithm is one of the most fundamental non-parametric methods in pattern recognition and machine learning. The question of setting the optimal number of neighbors as well as the optimal weights has…

Machine Learning · Statistics 2017-01-26 Oren Anava , Kfir Y. Levy

The $k$-nearest neighbor algorithm ($k$-NN) is a widely used non-parametric method for classification and regression. We study the mean squared error of the $k$-NN estimator when $k$ is chosen by leave-one-out cross-validation (LOOCV).…

Statistics Theory · Mathematics 2020-02-18 Mona Azadkia

In the k-nearest neighbor algorithm (k-NN), the determination of classes for test instances is usually performed via a majority vote system, which may ignore the similarities among data. In this research, the researcher proposes an approach…

Machine Learning · Computer Science 2019-06-13 Jasper Kyle Catapang

In the $k$-nearest neighborhood model ($k$-NN), we are given a set of points $P$, and we shall answer queries $q$ by returning the $k$ nearest neighbors of $q$ in $P$ according to some metric. This concept is crucial in many areas of data…

Machine Learning · Computer Science 2018-12-03 Hendrik Fichtenberger , Dennis Rohde

$K$-NN classifier is one of the most famous classification algorithms, whose performance is crucially dependent on the distance metric. When we consider the distance metric as a parameter of $K$-NN, learning an appropriate distance metric…

Machine Learning · Computer Science 2019-11-26 Kun Song

The $k$-nearest neighbour ($k$-NN) classifier is one of the oldest and most important supervised learning algorithms for classifying datasets. Traditionally the Euclidean norm is used as the distance for the $k$-NN classifier. In this…

Machine Learning · Statistics 2015-12-02 Stan Hatko

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

Machine Learning · Computer Science 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

Learning a robust classifier from a few samples remains a key challenge in machine learning. A major thrust of research has been focused on developing $k$-nearest neighbor ($k$-NN) based algorithms combined with metric learning that…

Machine Learning · Statistics 2022-02-17 Shixiang Zhu , Liyan Xie , Minghe Zhang , Rui Gao , Yao Xie
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