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We study statistical properties of the k-nearest neighbors algorithm for multiclass classification, with a focus on settings where the number of classes may be large and/or classes may be highly imbalanced. In particular, we consider a…

Machine Learning · Statistics 2020-05-05 Justin Khim , Ziyu Xu , Shashank Singh

Learning from many real-world datasets is limited by a problem called the class imbalance problem. A dataset is imbalanced when one class (the majority class) has significantly more samples than the other class (the minority class). Such…

Machine Learning · Computer Science 2017-11-30 Soroush Saryazdi , Bahareh Nikpour , Hossein Nezamabadi-pour

Prior work on partial labels learning (PLL) has shown that learning is possible even when each instance is associated with a bag of labels, rather than a single accurate but costly label. However, the necessary conditions for learning with…

Machine Learning · Statistics 2026-03-23 Nicolas A. Errandonea , Santiago Mazuelas , Jose A. Lozano , Sanjoy Dasgupta

The K-Nearest Neighbors (KNN) algorithm is widely used for classification and regression; however, it suffers from limitations, including the equal treatment of all samples. We propose Information-Modified KNN (IM-KNN), a novel approach…

Machine Learning · Computer Science 2025-07-11 Mohammad Ali Vahedifar , Azim Akhtarshenas , Mohammad Mohammadi Rafatpanah , Maryam Sabbaghian

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

In the k-nearest neighbor algorithm (k-NN), the determination of classes for test instances is usually performed via a majority vote system, which may ignore the similarities among data. In this research, the researcher proposes an approach…

Machine Learning · Computer Science 2019-06-13 Jasper Kyle Catapang

Data streams are often defined as large amounts of data flowing continuously at high speed. Moreover, these data are likely subject to changes in data distribution, known as concept drift. Given all the reasons mentioned above, learning…

Nearest neighbor is a popular class of classification methods with many desirable properties. For a large data set which cannot be loaded into the memory of a single machine due to computation, communication, privacy, or ownership…

Machine Learning · Statistics 2019-11-01 Xingye Qiao , Jiexin Duan , Guang Cheng

Motivated by the mode estimation problem of an unknown multivariate probability density function, we study the problem of identifying the point with the minimum k-th nearest neighbor distance for a given dataset of n points. We study the…

Machine Learning · Statistics 2020-10-27 Anirudh Singhal , Subham Pirojiwala , Nikhil Karamchandani

In this paper we propose an algorithm for the approximate k-Nearest-Neighbors problem. According to the existing researches, there are two kinds of approximation criterion. One is the distance criteria, and the other is the recall criteria.…

Computational Geometry · Computer Science 2020-08-10 Hengzhao Ma , Jianzhong Li

Deep neural networks (DNNs) are often used for text classification tasks as they usually achieve high levels of accuracy. However, DNNs can be computationally intensive with billions of parameters and large amounts of labeled data, which…

Computation and Language · Computer Science 2022-12-20 Zhiying Jiang , Matthew Y. R. Yang , Mikhail Tsirlin , Raphael Tang , Jimmy Lin

Deep neural networks (DNNs) enable innovative applications of machine learning like image recognition, machine translation, or malware detection. However, deep learning is often criticized for its lack of robustness in adversarial settings…

Machine Learning · Computer Science 2018-03-14 Nicolas Papernot , Patrick McDaniel

We present PUFFINN, a parameterless LSH-based index for solving the $k$-nearest neighbor problem with probabilistic guarantees. By parameterless we mean that the user is only required to specify the amount of memory the index is supposed to…

Data Structures and Algorithms · Computer Science 2019-07-01 Martin Aumüller , Tobias Christiani , Rasmus Pagh , Michael Vesterli

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

Data valuation, the task of quantifying the contribution of individual data points to model performance, has emerged as a fundamental challenge in machine learning. Game-theoretic approaches, such as the Banzhaf value, offer principled…

Machine Learning · Computer Science 2026-05-21 Guangyi Zhang , Lutz Oettershagen , Lixu Wang , Aristides Gionis

Non-local methods exploiting the self-similarity of natural signals have been well studied, for example in image analysis and restoration. Existing approaches, however, rely on k-nearest neighbors (KNN) matching in a fixed feature space.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-31 Tobias Plötz , Stefan Roth

The k-nearest-neighbour procedure is a well-known deterministic method used in supervised classification. This paper proposes a reassessment of this approach as a statistical technique derived from a proper probabilistic model; in…

Computation · Statistics 2008-02-12 Lionel Cucala , Jean-Michel Marin , Christian Robert , Mike Titterington

Given a data set $\mathcal{D}$ containing millions of data points and a data consumer who is willing to pay for \$$X$ to train a machine learning (ML) model over $\mathcal{D}$, how should we distribute this \$$X$ to each data point to…

Machine Learning · Computer Science 2020-03-31 Ruoxi Jia , David Dao , Boxin Wang , Frances Ann Hubis , Nezihe Merve Gurel , Bo Li , Ce Zhang , Costas J. Spanos , Dawn Song

Improving the performance of classifiers is the realm of feature mapping, prototype selection, and kernel function transformations; these techniques aim for reducing the complexity, and also, improving the accuracy of models. In particular,…

Machine Learning · Computer Science 2019-10-04 Jose Ortiz-Bejar , Eric S. Tellez , Mario Graff

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
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