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We introduce a novel \textit{k}-nearest neighbor (\textit{k}-NN) regression method for joint estimation of the conditional mean and variance. The proposed algorithm preserves the computational efficiency and manifold-learning capabilities…

We are in the era where the Big Data analytics has changed the way of interpreting the various biomedical phenomena, and as the generated data increase, the need for new machine learning methods to handle this evolution grows. An indicative…

Machine Learning · Computer Science 2020-12-04 Panagiotis Anagnostou , Petros T. Barmbas , Aristidis G. Vrahatis , Sotiris K. Tasoulis

Local model interpretation methods explain individual predictions by assigning an importance value to each input feature. This value is often determined by measuring the change in confidence when a feature is removed. However, the…

Computation and Language · Computer Science 2018-11-08 Eric Wallace , Shi Feng , Jordan Boyd-Graber

Despite the wide use of $k$-Nearest Neighbors as classification models, their explainability properties remain poorly understood from a theoretical perspective. While nearest neighbors classifiers offer interpretability from a ``data…

Machine Learning · Computer Science 2026-01-23 Pablo Barceló , Alexander Kozachinskiy , Miguel Romero Orth , Bernardo Subercaseaux , José Verschae

We study the problem of computing the minimum adversarial perturbation of the Nearest Neighbor (NN) classifiers. Previous attempts either conduct attacks on continuous approximations of NN models or search for the perturbation by some…

Machine Learning · Computer Science 2019-06-11 Lu Wang , Xuanqing Liu , Jinfeng Yi , Zhi-Hua Zhou , Cho-Jui Hsieh

In the realm of machine learning, the KNN classification algorithm is widely recognized for its simplicity and efficiency. However, its sensitivity to the K value poses challenges, especially with small sample sizes or outliers, impacting…

Machine Learning · Computer Science 2024-05-29 Junzhuo Chen , Zhixin Lu , Shitong Kang

We derive a new asymptotic expansion for the global excess risk of a local-$k$-nearest neighbour classifier, where the choice of $k$ may depend upon the test point. This expansion elucidates conditions under which the dominant contribution…

Statistics Theory · Mathematics 2019-05-21 Timothy I. Cannings , Thomas B. Berrett , Richard J. Samworth

Various kinds of k-nearest neighbor (KNN) based classification methods are the bases of many well-established and high-performance pattern-recognition techniques, but both of them are vulnerable to their parameter choice. Essentially, the…

Artificial Intelligence · Computer Science 2016-12-08 Ji Feng , Qingsheng Zhu , Jinlong Huang , Lijun Yang

Making an adaptive prediction based on one's input is an important ability for general artificial intelligence. In this work, we step forward in this direction and propose a semi-parametric method, Meta-Neighborhoods, where predictions are…

Machine Learning · Computer Science 2020-10-15 Siyuan Shan , Yang Li , Junier Oliva

A non-parametric k-nearest neighbour based entropy estimator is proposed. It improves on the classical Kozachenko-Leonenko estimator by considering non-uniform probability densities in the region of k-nearest neighbours around each sample…

Information Theory · Computer Science 2016-01-27 Damiano Lombardi , Sanjay Pant

Data pruning, or instance selection, is an important problem in machine learning especially in terms of nearest neighbour classifier. However, in data pruning which speeds up the prediction phase, there is an issue related to the speed and…

Machine Learning · Computer Science 2025-01-22 Marcin Blachnik , Piotr Ciepliński

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

Many distributed learning techniques have been motivated by the increasing size of datasets and their inability to fit into main memory on a single machine. We propose an algorithm that finds the nearest neighbor in a graph locally without…

Data Structures and Algorithms · Computer Science 2019-02-18 Abhinav Mishra

The nearest-neighbor rule is a well-known classification technique that, given a training set P of labeled points, classifies any unlabeled query point with the label of its closest point in P. The nearest-neighbor condensation problem aims…

Computational Geometry · Computer Science 2020-06-30 Alejandro Flores-Velazco

When training automated systems, it has been shown to be beneficial to adapt the representation of data by learning a problem-specific metric. This metric is global. We extend this idea and, for the widely used family of k nearest neighbors…

Machine Learning · Computer Science 2021-09-30 Jan Philip Göpfert , Heiko Wersing , Barbara Hammer

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

Nearest neighbor (kNN) methods have been gaining popularity in recent years in light of advances in hardware and efficiency of algorithms. There is a plethora of methods to choose from today, each with their own advantages and…

Machine Learning · Computer Science 2017-03-01 Daniel Zoran , Balaji Lakshminarayanan , Charles Blundell

Few-shot learners aim to recognize new object classes based on a small number of labeled training examples. To prevent overfitting, state-of-the-art few-shot learners use meta-learning on convolutional-network features and perform…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Yan Wang , Wei-Lun Chao , Kilian Q. Weinberger , Laurens van der Maaten

Pattern recognition techniques have been employed in a myriad of industrial, medical, commercial and academic applications. To tackle such a diversity of data, many techniques have been devised. However, despite the long tradition of…

Machine Learning · Computer Science 2014-04-28 D. R. Amancio , C. H. Comin , D. Casanova , G. Travieso , O. M. Bruno , F. A. Rodrigues , L. da F. Costa

In machine learning, crowdsourcing is an economical way to label a large amount of data. However, the noise in the produced labels may deteriorate the accuracy of any classification method applied to the labelled data. We propose an…

Human-Computer Interaction · Computer Science 2022-03-03 Jiexin Duan , Xingye Qiao , Guang Cheng