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Analyzing high-dimensional data with manifold learning algorithms often requires searching for the nearest neighbors of all observations. This presents a computational bottleneck in statistical manifold learning when observations of…

机器学习 · 计算机科学 2022-03-11 Fan Cheng , Anastasios Panagiotelis , Rob J Hyndman

We consider the problem of selecting confounders for adjustment from a potentially large set of covariates, when estimating a causal effect. Recently, the high-dimensional Propensity Score (hdPS) method was developed for this task; hdPS…

统计方法学 · 统计学 2021-12-17 Asad Haris , Robert Platt

Nearest Neighbor Search (NNS) over generalized weighted distances is fundamental to a wide range of applications. The problem of NNS over the generalized weighted square Euclidean distance has been studied in previous work. However,…

数据库 · 计算机科学 2021-10-19 Huan Hu , Jianzhong Li

Nearest neighbor search aims to obtain the samples in the database with the smallest distances from them to the queries, which is a basic task in a range of fields, including computer vision and data mining. Hashing is one of the most…

计算机视觉与模式识别 · 计算机科学 2022-04-26 Xiao Luo , Haixin Wang , Daqing Wu , Chong Chen , Minghua Deng , Jianqiang Huang , Xian-Sheng Hua

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. Given a set of points $S$ and a radius parameter $r>0$, the $r$-near neighbor ($r$-NN) problem asks for a data structure that, given…

数据结构与算法 · 计算机科学 2021-01-27 Martin Aumüller , Sariel Har-Peled , Sepideh Mahabadi , Rasmus Pagh , Francesco Silvestri

Neural network classifiers have become the de-facto choice for current "pre-train then fine-tune" paradigms of visual classification. In this paper, we investigate k-Nearest-Neighbor (k-NN) classifiers, a classical model-free learning…

计算机视觉与模式识别 · 计算机科学 2021-12-21 Menglin Jia , Bor-Chun Chen , Zuxuan Wu , Claire Cardie , Serge Belongie , Ser-Nam Lim

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…

机器学习 · 计算机科学 2018-01-09 Shin Ando

KNN has the reputation to be the word simplest but efficient supervised learning algorithm used for either classification or regression. KNN prediction efficiency highly depends on the size of its training data but when this training data…

机器学习 · 计算机科学 2021-07-01 Jude Tchaye-Kondi , Yanlong Zhai , Liehuang Zhu

Several researchers proposed using non-Euclidean metrics on point sets in Euclidean space for clustering noisy data. Almost always, a distance function is desired that recognizes the closeness of the points in the same cluster, even if the…

K-Nearest neighbor classifier (k-NNC) is simple to use and has little design time like finding k values in k-nearest neighbor classifier, hence these are suitable to work with dynamically varying data-sets. There exists some fundamental…

计算机视觉与模式识别 · 计算机科学 2013-01-29 T. Hitendra Sarma , P. Viswanath , D. Sai Koti Reddy , S. Sri Raghava

Since Convolutional Neural Networks (CNNs) have become the leading learning paradigm in visual recognition, Naive Bayes Nearest Neighbour (NBNN)-based classifiers have lost momentum in the community. This is because (1) such algorithms…

计算机视觉与模式识别 · 计算机科学 2015-11-18 Ilja Kuzborskij , Fabio Maria Carlucci , Barbara Caputo

In the panoply of pattern classification techniques, few enjoy the intuitive appeal and simplicity of the nearest neighbor rule: given a set of samples in some metric domain space whose value under some function is known, we estimate the…

机器学习 · 计算机科学 2013-09-10 Shaun N. Joseph , Seif Omar Abu Bakr , Gabriel Lugo

Dimensionality reduction is a topic of recent interest. In this paper, we present the classification constrained dimensionality reduction (CCDR) algorithm to account for label information. The algorithm can account for multiple classes as…

机器学习 · 统计学 2009-09-29 Raviv Raich , Jose A. Costa , Steven B. Damelin , Alfred O. Hero

The $k$-nearest neighbor ($k$-NN) algorithm is one of the most popular methods for nonparametric classification. However, a relevant limitation concerns the definition of the number of neighbors $k$. This parameter exerts a direct impact on…

机器学习 · 计算机科学 2024-09-10 Alexandre Luís Magalhães Levada , Frank Nielsen , Michel Ferreira Cardia Haddad

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

机器学习 · 统计学 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme

Biased sampling and missing data complicates statistical problems ranging from causal inference to reinforcement learning. We often correct for biased sampling of summary statistics with matching methods and importance weighting. In this…

统计理论 · 数学 2022-06-02 James Sharpnack

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…

数据库 · 计算机科学 2016-10-11 Wen Li , Ying Zhang , Yifang Sun , Wei Wang , Wenjie Zhang , Xuemin Lin

We present Local Naive Bayes Nearest Neighbor, an improvement to the NBNN image classification algorithm that increases classification accuracy and improves its ability to scale to large numbers of object classes. The key observation is…

计算机视觉与模式识别 · 计算机科学 2011-12-02 Sancho McCann , David G. Lowe

Semi-supervised classification, where unlabeled data are massive but labeled data are limited, often arises in machine learning applications. We address this challenge under high-dimensional data by leveraging the manifold and cluster…

机器学习 · 统计学 2026-04-28 Ruoxu Tan , Yiming Zang

Among the variety of statistical intervals, highest-density regions (HDRs) stand out for their ability to effectively summarize a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set…

统计方法学 · 统计学 2024-08-20 Nina Deliu , Brunero Liseo