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Related papers: k*-Nearest Neighbors: From Global to Local

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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

Nearest neighbor is a popular nonparametric method for classification and regression with many appealing properties. In the big data era, the sheer volume and spatial/temporal disparity of big data may prohibit centrally processing and…

Statistics Theory · Mathematics 2018-12-13 Jiexin Duan , Xingye Qiao , Guang Cheng

$k$-nearest neighbour ($k$-NN) is one of the simplest and most widely-used methods for supervised classification, that predicts a query's label by taking weighted ratio of observed labels of $k$ objects nearest to the query. The weights and…

Machine Learning · Statistics 2020-11-12 Akifumi Okuno , Hidetoshi Shimodaira

K-nearest neighbors (KNN) is one of the earliest and most established algorithms in machine learning. For regression tasks, KNN averages the targets within a neighborhood which poses a number of challenges: the neighborhood definition is…

Machine Learning · Computer Science 2022-05-18 Youssef Nader , Leon Sixt , Tim Landgraf

This paper proposes a spatial k-nearest neighbor method for nonparametric prediction of real-valued spatial data and supervised classification for categorical spatial data. The proposed method is based on a double nearest neighbor rule…

Statistics Theory · Mathematics 2023-01-02 Mohamed-Salem Ahmed , Mamadou N'diaye , Mohammed Kadi Attouch , Sophie Dabo-Niang

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

Many existing covariate shift adaptation methods estimate sample weights given to loss values to mitigate the gap between the source and the target distribution. However, estimating the optimal weights typically involves computationally…

Machine Learning · Statistics 2024-07-01 François Portier , Lionel Truquet , Ikko Yamane

Motivated by safety-critical applications, test-time attacks on classifiers via adversarial examples has recently received a great deal of attention. However, there is a general lack of understanding on why adversarial examples arise;…

Machine Learning · Statistics 2019-06-20 Yizhen Wang , Somesh Jha , Kamalika Chaudhuri

Nonparametric learning is a fundamental concept in machine learning that aims to capture complex patterns and relationships in data without making strong assumptions about the underlying data distribution. Owing to simplicity and…

Machine Learning · Computer Science 2024-02-06 Amartya Banerjee , Christopher J. Hazard , Jacob Beel , Cade Mack , Jack Xia , Michael Resnick , Will Goddin

Twin neural network regression is trained to predict differences between regression targets rather than the targets themselves. A solution to the original regression problem can be obtained by ensembling predicted differences between the…

Machine Learning · Computer Science 2023-10-03 Sebastian J. Wetzel

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

$K$-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

This work aims to address an open problem in data valuation literature concerning the efficient computation of Data Shapley for weighted $K$ nearest neighbor algorithm (WKNN-Shapley). By considering the accuracy of hard-label KNN with…

Data Structures and Algorithms · Computer Science 2024-01-23 Jiachen T. Wang , Prateek Mittal , Ruoxi Jia

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

In many scientific disciplines structures in high-dimensional data have to be found, e.g., in stellar spectra, in genome data, or in face recognition tasks. In this work we present a novel approach to non-linear dimensionality reduction. It…

Machine Learning · Statistics 2011-09-27 Oliver Kramer

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 traditional k nearest neighbor (kNN) approach uses a distance formula within a spherical region to determine the k closest training observations to a test sample point. However, this approach may not work well when test point is located…

Machine Learning · Statistics 2024-02-19 Amjad Ali , Zardad Khan , Dost Muhammad Khan , Saeed Aldahmani

Perhaps the most straightforward classifier in the arsenal or machine learning techniques is the Nearest Neighbour Classifier -- classification is achieved by identifying the nearest neighbours to a query example and using those neighbours…

Machine Learning · Computer Science 2021-08-10 Padraig Cunningham , Sarah Jane Delany

Trustworthiness in model predictions is crucial for safety-critical applications in the real world. However, deep neural networks often suffer from the issues of uncertainty estimation, such as miscalibration. In this study, we propose…

Computation and Language · Computer Science 2025-02-07 Wataru Hashimoto , Hidetaka Kamigaito , Taro Watanabe

In this technical note, we introduce and analyze AWNN: an adaptively weighted nearest neighbor method for performing matrix completion. Nearest neighbor (NN) methods are widely used in missing data problems across multiple disciplines such…

Machine Learning · Statistics 2025-05-15 Tathagata Sadhukhan , Manit Paul , Raaz Dwivedi