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In nearest-neighbor classification problems, a set of $d$-dimensional training points are given, each with a known classification, and are used to infer unknown classifications of other points by using the same classification as the nearest…

Data Structures and Algorithms · Computer Science 2021-10-13 David Eppstein

Given a training set $P \subset \mathbb{R}^d$, the nearest-neighbor classifier assigns any query point $q \in \mathbb{R}^d$ to the class of its closest point in $P$. To answer these classification queries, some training points are more…

Computational Geometry · Computer Science 2022-03-08 Alejandro Flores-Velazco

Given a training set $P$ of labeled points, the nearest-neighbor rule predicts the class of an unlabeled query point as the label of its closest point in the set. To improve the time and space complexity of classification, a natural…

Computational Geometry · Computer Science 2020-07-24 Alejandro Flores-Velazco , David M. Mount

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

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

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

The nearest neighbor rule is a classic yet essential classification model, particularly in problems where the supervising information is given by pairwise dissimilarities and the embedding function are not easily obtained. Prototype…

Machine Learning · Computer Science 2018-01-09 Shin Ando

We introduce a "learning-based" algorithm for the low-rank decomposition problem: given an $n \times d$ matrix $A$, and a parameter $k$, compute a rank-$k$ matrix $A'$ that minimizes the approximation loss $\|A-A'\|_F$. The algorithm uses a…

Machine Learning · Computer Science 2019-10-31 Piotr Indyk , Ali Vakilian , Yang Yuan

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

We consider machine learning in a comparison-based setting where we are given a set of points in a metric space, but we have no access to the actual distances between the points. Instead, we can only ask an oracle whether the distance…

Machine Learning · Statistics 2017-04-06 Siavash Haghiri , Debarghya Ghoshdastidar , Ulrike von Luxburg

The nearest neighbor problem is defined as follows: Given a set $P$ of $n$ points in some metric space $(X,D)$, build a data structure that, given any point $q$, returns a point in $P$ that is closest to $q$ (its "nearest neighbor" in $P$).…

Data Structures and Algorithms · Computer Science 2018-06-27 Alexandr Andoni , Piotr Indyk , Ilya Razenshteyn

We propose regression networks for the problem of few-shot classification, where a classifier must generalize to new classes not seen in the training set, given only a small number of examples of each class. In high dimensional embedding…

Machine Learning · Computer Science 2020-06-22 Arnout Devos , Matthias Grossglauser

The property of almost every point being a Lebesgue point has proven to be crucial for the consistency of several classification algorithms based on nearest neighbors. We characterize Lebesgue points in terms of a 1-Nearest Neighbor…

Machine Learning · Computer Science 2021-01-13 Tommaso Cesari , Roberto Colomboni

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

In this paper, we propose an ensemble learning algorithm called \textit{under-bagging $k$-nearest neighbors} (\textit{under-bagging $k$-NN}) for imbalanced classification problems. On the theoretical side, by developing a new learning…

Machine Learning · Statistics 2021-09-03 Hanyuan Hang , Yuchao Cai , Hanfang Yang , Zhouchen Lin

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

This paper draws a parallel between similarity-based categorisation models developed in cognitive psychology and the nearest neighbour classifier (1-NN) in machine learning. Conceived as a result of the historical rivalry between prototype…

Artificial Intelligence · Computer Science 2018-06-05 Julian Zubek , Ludmila Kuncheva

Nearest neighbor-based methods are commonly used for classification tasks and as subroutines of other data-analysis methods. An attacker with the capability of inserting their own data points into the training set can manipulate the…

Machine Learning · Computer Science 2022-08-16 Ara Vartanian , Will Rosenbaum , Scott Alfeld

Pre-trained language models (PLMs) have exhibited remarkable few-shot learning capabilities when provided a few examples in a natural language prompt as demonstrations of test instances, i.e., in-context learning. However, the performance…

Computation and Language · Computer Science 2022-12-06 Feng Nie , Meixi Chen , Zhirui Zhang , Xu Cheng

Few-shot learning that trains image classifiers over few labeled examples per category is a challenging task. In this paper, we propose to exploit an additional big dataset with different categories to improve the accuracy of few-shot…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Liangqu Long , Wei Wang , Jun Wen , Meihui Zhang , Qian Lin , Beng Chin Ooi
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