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Related papers: An improvement to k-nearest neighbor classifier

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The K Nearest Neighbors (KNN) classifier is widely used in many fields such as fingerprint-based localization or medicine. It determines the class membership of unlabelled sample based on the class memberships of the K labelled samples, the…

Machine Learning · Computer Science 2024-03-14 Philipp Müller

This paper proposes a new probabilistic classification algorithm using a Markov random field approach. The joint distribution of class labels is explicitly modelled using the distances between feature vectors. Intuitively, a class label…

Computation · Statistics 2010-06-02 Nial Friel , Anthony N. Pettitt

When data is of an extraordinarily large size or physically stored in different locations, the distributed nearest neighbor (NN) classifier is an attractive tool for classification. We propose a novel distributed adaptive NN classifier for…

Machine Learning · Statistics 2023-06-06 Ruiqi Liu , Ganggang Xu , Zuofeng Shang

We present a new approach to approximate nearest-neighbor queries in fixed dimension under a variety of non-Euclidean distances. We are given a set $S$ of $n$ points in $\mathbb{R}^d$, an approximation parameter $\varepsilon > 0$, and a…

Computational Geometry · Computer Science 2023-06-28 Ahmed Abdelkader , Sunil Arya , Guilherme D. da Fonseca , David M. Mount

The reverse k-nearest neighbor (RkNN) query is an established query type with various applications reaching from identifying highly influential objects over incrementally updating kNN graphs to optimizing sensor communication and outlier…

Databases · Computer Science 2020-11-04 Sandra Obermeier , Max Berrendorf , Peer Kröger

Nearest neighbors (NN) are traditionally used to compute final decisions, e.g., in Support Vector Machines or k-NN classifiers, and to provide users with explanations for the model's decision. In this paper, we show a novel utility of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Giang , Nguyen , Valerie Chen , Mohammad Reza Taesiri , Anh Totti Nguyen

Retrieval augmented methods have shown promising results in various classification tasks. However, existing methods focus on retrieving extra context to enrich the input, which is noise sensitive and non-expandable. In this paper, following…

Computation and Language · Computer Science 2023-04-12 Xinnian Liang , Shuangzhi Wu , Hui Huang , Jiaqi Bai , Chao Bian , Zhoujun Li

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

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

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

Pre-trained models are widely used in fine-tuning downstream tasks with linear classifiers optimized by the cross-entropy loss, which might face robustness and stability problems. These problems can be improved by learning representations…

Computation and Language · Computer Science 2021-10-07 Linyang Li , Demin Song , Ruotian Ma , Xipeng Qiu , Xuanjing Huang

Importance weighting is widely applicable in machine learning in general and in techniques dealing with data covariate shift problems in particular. A novel, direct approach to determine such importance weighting is presented. It relies on…

Machine Learning · Computer Science 2021-02-05 Marco Loog

This paper introduces enhancements to the K-means and K-nearest neighbors (KNN) algorithms based on the concept of Gini prametric spaces, instead of traditional metric spaces. Unlike standard distance metrics, Gini prametrics incorporate…

Machine Learning · Computer Science 2025-08-27 Cassandra Mussard , Arthur Charpentier , Stéphane Mussard

Introduction. Case Based Reasoning (CBR) is an emerg- ing decision making paradigm in medical research where new cases are solved relying on previously solved similar cases. Usually, a database of solved cases is provided, and every case is…

Artificial Intelligence · Computer Science 2013-03-08 Boris Campillo-Gimenez , Wassim Jouini , Sahar Bayat , Marc Cuggia

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

Permutation entropy and its associated frameworks are remarkable examples of physics-inspired techniques adept at processing complex and extensive datasets. Despite substantial progress in developing and applying these tools, their use has…

Data Analysis, Statistics and Probability · Physics 2024-08-14 Leonardo G. J. M. Voltarelli , Arthur A. B. Pessa , Luciano Zunino , Rafael S. Zola , Ervin K. Lenzi , Matjaz Perc , Haroldo V. Ribeiro

In this paper, we consider a k-nearest neighbor kernel type estimator when the random variables belong in a Riemannian manifolds. We study asymptotic properties such as the consistency and the asymptotic distribution. A simulation study is…

Statistics Theory · Mathematics 2011-06-24 Guillermo Henry , Andrés Muñoz , Daniela Rodriguez

Training Graph Convolutional Networks (GCNs) is expensive as it needs to aggregate data recursively from neighboring nodes. To reduce the computation overhead, previous works have proposed various neighbor sampling methods that estimate the…

Machine Learning · Computer Science 2021-01-20 Peng Jiang , Masuma Akter Rumi

K-Nearest Neighbors (KNN) search is a fundamental algorithm in artificial intelligence software with applications in robotics, and autonomous vehicles. These wide-ranging applications utilize KNN either directly for simple classification or…

Software Engineering · Computer Science 2021-06-08 Aryan Naim , Joseph Bowkett , Sisir Karumanchi , Peyman Tavallali , Brett Kennedy

The problem of finding K-nearest neighbors in the given dataset for a given query point has been worked upon since several years. In very high dimensional spaces the K-nearest neighbor search (KNNS) suffers in terms of complexity in…

Machine Learning · Computer Science 2021-02-15 Pramod Vadiraja , Christoph Peter Balada
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