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Large margin nearest neighbor (LMNN) is a metric learner which optimizes the performance of the popular $k$NN classifier. However, its resulting metric relies on pre-selected target neighbors. In this paper, we address the feasibility of…

Data Structures and Algorithms · Computer Science 2018-05-03 Babak Hosseini , Barbara Hammer

The method of "random Fourier features (RFF)" has become a popular tool for approximating the "radial basis function (RBF)" kernel. The variance of RFF is actually large. Interestingly, the variance can be substantially reduced by a simple…

Machine Learning · Computer Science 2017-02-22 Ping Li

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

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

Nearest neighbor methods are a popular class of nonparametric estimators with several desirable properties, such as adaptivity to different distance scales in different regions of space. Prior work on convergence rates for nearest neighbor…

Machine Learning · Computer Science 2014-07-03 Kamalika Chaudhuri , Sanjoy Dasgupta

Most of the research related to Non Functional Requirements (NFRs) have presented NFRs frameworks by integrating non functional requirements with functional requirements while we proposed that measurement of NFRs is possible e.g. cost and…

Software Engineering · Computer Science 2009-07-01 Nasir Mahmood Malik , Arif Mushtaq , Samina Khalid , Tehmina Khalil , Faisal Munir Malik

One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the…

Artificial Intelligence · Computer Science 2024-03-19 Adnan Theerens , Chris Cornelis

The distance metric plays an important role in nearest neighbor (NN) classification. Usually the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized to improve the NN performance. In this paper, we study the…

Machine Learning · Statistics 2007-06-26 Bharath K. Sriperumbudur , Gert R. G. Lanckriet

In this technical note, we introduce and analyze AWNN: an adaptively weighted nearest neighbor method for performing matrix completion. Nearest neighbor (NN) methods are widely used in missing data problems across multiple disciplines such…

Machine Learning · Statistics 2025-05-15 Tathagata Sadhukhan , Manit Paul , Raaz Dwivedi

The $k$-nearest neighbour ($k$-NN) classifier is one of the oldest and most important supervised learning algorithms for classifying datasets. Traditionally the Euclidean norm is used as the distance for the $k$-NN classifier. In this…

Machine Learning · Statistics 2015-12-02 Stan Hatko

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

We encounter a bottleneck when we try to borrow the strength of classical classifiers to classify functional data. The major issue is that functional data are intrinsically infinite dimensional, thus classical classifiers cannot be applied…

Methodology · Statistics 2021-03-09 Peijun Sang , Adam B Kashlak , Linglong Kong

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

Clustering is one of the major roles in data mining that is widely application in pattern recognition and image segmentation. Fuzzy C-means (FCM) is the most used clustering algorithm that proven efficient, fast and easy to implement,…

Machine Learning · Computer Science 2019-08-01 Andy Arief Setyawan , Ahmad Ilham

Probabilistic k-nearest neighbour (PKNN) classification has been introduced to improve the performance of original k-nearest neighbour (KNN) classification algorithm by explicitly modelling uncertainty in the classification of each feature…

Machine Learning · Computer Science 2013-05-07 Ji Won Yoon , Nial Friel

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…

Computer Vision and Pattern Recognition · Computer Science 2013-01-29 T. Hitendra Sarma , P. Viswanath , D. Sai Koti Reddy , S. Sri Raghava

Naive Bayes Nearest Neighbour (NBNN) is a simple and effective framework which addresses many of the pitfalls of K-Nearest Neighbour (KNN) classification. It has yielded competitive results on several computer vision benchmarks. Its central…

Machine Learning · Computer Science 2016-07-12 Daniel Jiwoong Im , Graham W. Taylor

Word embeddings can reflect the semantic representations, and the embedding qualities can be comprehensively evaluated with human natural reading-related cognitive data sources. In this paper, we proposed the CogniFNN framework, which is…

Artificial Intelligence · Computer Science 2021-07-30 Xinping Liu , Zehong Cao , Son Tran

k Nearest Neighbor (kNN) method is a simple and popular statistical method for classification and regression. For both classification and regression problems, existing works have shown that, if the distribution of the feature vector has…

Statistics Theory · Mathematics 2019-10-24 Puning Zhao , Lifeng Lai

Despite its extensive development for multivariate data, semi-supervised learning remains underdeveloped for functional data. To address this challenge, we extend the Fermat distance, a density-sensitive metric aligning with the…

Methodology · Statistics 2026-04-01 Ruoxu Tan , Mingjie Jian , Yiming Zang