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Nearest neighbor has always been one of the most appealing non-parametric approaches in machine learning, pattern recognition, computer vision, etc. Previous empirical studies partly shows that nearest neighbor is resistant to noise, yet…

Machine Learning · Computer Science 2018-09-14 Wei Gao , Bin-Bin Yang , Zhi-Hua Zhou

Suppose $V$ is an $n$-element set where for each $x \in V$, the elements of $V \setminus \{x\}$ are ranked by their similarity to $x$. The $K$-nearest neighbor graph is a directed graph including an arc from each $x$ to the $K$ points of $V…

Combinatorics · Mathematics 2020-12-29 Jacob D. Baron , R. W. R. Darling

The estimation of mutual information (MI) or conditional mutual information (CMI) from a set of samples is a long-standing problem. A recent line of work in this area has leveraged the approximation power of artificial neural networks and…

Information Theory · Computer Science 2021-10-27 Sina Molavipour , Germán Bassi , Mikael Skoglund

Ensembles based on k nearest neighbours (kNN) combine a large number of base learners, each constructed on a sample taken from a given training data. Typical kNN based ensembles determine the k closest observations in the training data…

Machine Learning · Statistics 2023-03-23 Amjad Ali , Muhammad Hamraz , Dost Muhammad Khan , Wajdan Deebani , Zardad Khan

Automatic writer identification is a common problem in document analysis. State-of-the-art methods typically focus on the feature extraction step with traditional or deep-learning-based techniques. In retrieval problems, re-ranking is a…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Simon Jordan , Mathias Seuret , Pavel Král , Ladislav Lenc , Jiří Martínek , Barbara Wiermann , Tobias Schwinger , Andreas Maier , Vincent Christlein

In machine learning, classifiers are used to predict a class of a given query based on an existing (classified) database. Given a database S of n d-dimensional points and a d-dimensional query q, the k-nearest neighbors (kNN) classifier…

Data Structures and Algorithms · Computer Science 2019-05-01 Hayim Shaul , Dan Feldman , Daniela Rus

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

$k$ Nearest Neighbors ($k$NN) is one of the most widely used supervised learning algorithms to classify Gaussian distributed data, but it does not achieve good results when it is applied to nonlinear manifold distributed data, especially…

Machine Learning · Computer Science 2016-06-06 Enmei Tu , Yaqian Zhang , Lin Zhu , Jie Yang , Nikola Kasabov

The k-Nearest Neighbor (kNN) classification approach is conceptually simple - yet widely applied since it often performs well in practical applications. However, using a global constant k does not always provide an optimal solution, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Mark Kibanov , Martin Becker , Juergen Mueller , Martin Atzmueller , Andreas Hotho , Gerd Stumme

K-Nearest Neighbors (KNN) is one of the most used ML classifiers. However, if we observe closely, standard distance-weighted KNN and relative variants assume all 'k' neighbors are equally reliable. In heterogeneous feature space, this…

Machine Learning · Computer Science 2025-12-11 Kumarjit Pathak , Karthik K , Sachin Madan , Jitin Kapila

Fixed Radius Near Neighbor (FRNN) search is an alternative to the widely used k Nearest Neighbors (kNN) search. Unlike kNN, FRNN determines a label or an estimate for a test sample based on all training samples within a predefined distance.…

Machine Learning · Computer Science 2026-04-20 Khang Le , Joaquín Torres-Sospedra , Philipp Müller

The $k$th-nearest neighbor rule is arguably the simplest and most intuitively appealing nonparametric classification procedure. However, application of this method is inhibited by lack of knowledge about its properties, in particular, about…

Statistics Theory · Mathematics 2008-10-30 Peter Hall , Byeong U. Park , Richard J. Samworth

We design statistical hypothesis tests for performing leak detection in water pipeline channels. By applying an appropriate model for signal propagation, we show that the detection problem becomes one of distinguishing signal from noise,…

Signal Processing · Electrical Eng. & Systems 2022-10-25 Liusha Yang , Matthew R. McKay , Xun Wang

We design a data-dependent metric in $\mathbb R^d$ and use it to define the $k$-nearest neighbors of a given point. Our metric is invariant under all affine transformations. We show that, with this metric, the standard $k$-nearest neighbor…

Statistics Theory · Mathematics 2012-05-23 Gérard Biau , Luc Devroye , Vida Dujmovic , Adam Krzyzak

Monitoring wastewater pump stations is essential because they are critical infrastructure. However, monitoring is still often performed manually due to the lack of suitable algorithmic methods and data. This paper introduces a…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Katayoun Eshkofti , Henrik Sandberg , Mikael Nilsson , Matthieu Barreau

Relevance vector machine (RVM) can be seen as a probabilistic version of support vector machines which is able to produce sparse solutions by linearly weighting a small number of basis functions instead using all of them. Regardless of a…

Machine Learning · Computer Science 2019-04-09 Farhood Rismanchian , Karim Rahimian

Inspired by recent advances in retrieval augmented methods in NLP~\citep{khandelwal2019generalization,khandelwal2020nearest,meng2021gnn}, in this paper, we introduce a $k$ nearest neighbor NER ($k$NN-NER) framework, which augments the…

Computation and Language · Computer Science 2022-04-01 Shuhe Wang , Xiaoya Li , Yuxian Meng , Tianwei Zhang , Rongbin Ouyang , Jiwei Li , Guoyin Wang

This paper presents the design of a diagnosis system for the detection, identification and reconstruction of faults in pipelines. The design of such diagnosis system is based on redundant relations and nonlinear observers, taking into…

Optimization and Control · Mathematics 2017-06-21 L. Torres

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 investigate the classification performance of K-nearest neighbors (K-NN) and deep neural networks (DNNs) in the presence of label noise. We first show empirically that a DNN's prediction for a given test example depends on the labels of…

Machine Learning · Computer Science 2020-12-04 Amnon Drory , Oria Ratzon , Shai Avidan , Raja Giryes