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The k-Nearest Neighbors (kNN) classifier is a fundamental non-parametric machine learning algorithm. However, it is well known that it suffers from the curse of dimensionality, which is why in practice one often applies a kNN classifier on…

Machine Learning · Computer Science 2020-10-16 Luka Rimanic , Cedric Renggli , Bo Li , Ce Zhang

This work deals with the problem of classifying uncertain data. With this aim the Uncertain Nearest Neighbor (UNN) rule is here introduced, which represents the generalization of the deterministic nearest neighbor rule to the case in which…

Machine Learning · Computer Science 2011-08-11 Fabrizio Angiulli , Fabio Fassetti

Matching is an important tool in causal inference. The method provides a conceptually straightforward way to make groups of units comparable on observed characteristics. The use of the method is, however, limited to situations where the…

Methodology · Statistics 2019-06-18 Fredrik Sävje , Michael J. Higgins , Jasjeet S. Sekhon

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

Approximate Nearest neighbor search (ANNS) is fundamental and essential operation in applications from many domains, such as databases, machine learning, multimedia, and computer vision. Although many algorithms have been continuously…

Databases · Computer Science 2016-10-11 Wen Li , Ying Zhang , Yifang Sun , Wei Wang , Wenjie Zhang , Xuemin Lin

In this article, we revisit the problem of fitting a mixture model under the assumption that the mixture components are symmetric and log-concave. To this end, we first study the nonparametric maximum likelihood estimation (NPMLE) of a…

Methodology · Statistics 2018-02-28 Xiao Pu , Ery Arias-Castro

During the last decade, hyperspectral images have attracted increasing interest from researchers worldwide. They provide more detailed information about an observed area and allow an accurate target detection and precise discrimination of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-26 Asma Elmaizi , Hasna Nhaila , Elkebir Sarhrouni , Ahmed Hammouch , Nacir Chafik

A Shared Nearest Neighbor (SNN) graph is a type of graph construction using shared nearest neighbor information, which is a secondary similarity measure based on the rankings induced by a primary $k$-nearest neighbor ($k$-NN) measure. SNN…

Machine Learning · Statistics 2023-04-04 A. Martina Neuman

Noise Contrastive Estimation (NCE) has fueled major breakthroughs in representation learning and generative modeling. Yet a long-standing challenge remains: accurately estimating ratios between distributions that differ substantially, which…

The problem of distance metric learning is mostly considered from the perspective of learning an embedding space, where the distances between pairs of examples are in correspondence with a similarity metric. With the rise and success of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Yehao Li , Ting Yao , Yingwei Pan , Hongyang Chao , Tao Mei

In regression analysis one wants to estimate the regression function from a data. In this paper we consider the rate of convergence for the nearest neighbor estimator in case that the regression function is $(p,C)$-smooth. It is an open…

Statistics Theory · Mathematics 2025-12-23 Takanori Ayano

Meta learning of optimal classifier error rates allows an experimenter to empirically estimate the intrinsic ability of any estimator to discriminate between two populations, circumventing the difficult problem of estimating the optimal…

Machine Learning · Statistics 2017-11-01 Morteza Noshad Iranzad , Alfred O. Hero

Many major works in social science employ matching to make causal conclusions, but different matches on the same data may produce different treatment effect estimates, even when they achieve similar balance or minimize the same loss…

Applications · Statistics 2023-03-23 Marco Morucci , Cynthia Rudin

Due to diverse architectures in deep neural networks (DNNs) with severe overparameterization, regularization techniques are critical for finding optimal solutions in the huge hypothesis space. In this paper, we propose an effective…

Machine Learning · Computer Science 2022-02-25 Yang Zhao , Hao Zhang

In one-class classification problems, only the data for the target class is available, whereas the data for the non-target class may be completely absent. In this paper, we study one-class nearest neighbour (OCNN) classifiers and their…

Machine Learning · Computer Science 2017-12-29 Shehroz S. Khan , Amir Ahmad

Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects…

Methodology · Statistics 2024-04-23 Kosuke Imai , Michael Lingzhi Li

Pattern recognition constitutes a particularly important task underlying a great deal of scientific and technologica activities. At the same time, pattern recognition involves several challenges, including the choice of features to…

Machine Learning · Computer Science 2024-09-04 Alexandre Benatti , Luciano da F. Costa

Method of parameterizing and smoothing the unknown underling distributions using Bernstein polynomials is proposed, verified and investigated. Any distribution with bounded and smooth enough density can be approximated by the proposed…

Methodology · Statistics 2015-06-23 Zhong Guan

The K-nearest neighbor (KNN) classifier is one of the simplest and most common classifiers, yet its performance competes with the most complex classifiers in the literature. The core of this classifier depends mainly on measuring the…

We investigate sample-based learning of conditional distributions on multi-dimensional unit boxes, allowing for different dimensions of the feature and target spaces. Our approach involves clustering data near varying query points in the…

Machine Learning · Statistics 2024-06-14 Cyril Bénézet , Ziteng Cheng , Sebastian Jaimungal
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