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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

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

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

Nonparametric estimation of mutual information is used in a wide range of scientific problems to quantify dependence between variables. The k-nearest neighbor (knn) methods are consistent, and therefore expected to work well for large…

Statistics Theory · Mathematics 2018-04-18 Warren M. Lord , Jie Sun , Erik M. Bollt

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

In a regression setting we propose algorithms that reduce the dimensionality of the features while simultaneously maximizing a statistical measure of dependence known as distance correlation between the low-dimensional features and a…

Machine Learning · Computer Science 2017-02-20 Praneeth Vepakomma , Ahmed Elgammal

Nonparametric learning is a fundamental concept in machine learning that aims to capture complex patterns and relationships in data without making strong assumptions about the underlying data distribution. Owing to simplicity and…

Machine Learning · Computer Science 2024-02-06 Amartya Banerjee , Christopher J. Hazard , Jacob Beel , Cade Mack , Jack Xia , Michael Resnick , Will Goddin

Neighborhood finders and nearest neighbor queries are fundamental parts of sampling based motion planning algorithms. Using different distance metrics or otherwise changing the definition of a neighborhood produces different algorithms with…

Robotics · Computer Science 2025-06-17 Stav Ashur , Nancy M. Amato , Sariel Har-Peled

Most natural language processing tasks can be formulated as the approximated nearest neighbor search problem, such as word analogy, document similarity, machine translation. Take the question-answering task as an example, given a question…

Artificial Intelligence · Computer Science 2017-08-28 Jing Wang

The problem of finding K-nearest neighbors in the given dataset for a given query point has been worked upon since several years. In very high dimensional spaces the K-nearest neighbor search (KNNS) suffers in terms of complexity in…

Machine Learning · Computer Science 2021-02-15 Pramod Vadiraja , Christoph Peter Balada

Approximate K nearest neighbor (AKNN) search is a fundamental and challenging problem. We observe that in high-dimensional space, the time consumption of nearly all AKNN algorithms is dominated by that of the distance comparison operations…

Data Structures and Algorithms · Computer Science 2023-03-20 Jianyang Gao , Cheng Long

Local model interpretation methods explain individual predictions by assigning an importance value to each input feature. This value is often determined by measuring the change in confidence when a feature is removed. However, the…

Computation and Language · Computer Science 2018-11-08 Eric Wallace , Shi Feng , Jordan Boyd-Graber

This paper introduces the innovative Power Muirhead Mean K-Nearest Neighbors (PMM-KNN) algorithm, a novel data classification approach that combines the K-Nearest Neighbors method with the adaptive Power Muirhead Mean operator. The proposed…

Machine Learning · Computer Science 2024-05-28 Kourosh Shahnazari , Seyed Moein Ayyoubzadeh

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

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

Many distributed learning techniques have been motivated by the increasing size of datasets and their inability to fit into main memory on a single machine. We propose an algorithm that finds the nearest neighbor in a graph locally without…

Data Structures and Algorithms · Computer Science 2019-02-18 Abhinav Mishra

Linear regression analysis focuses on predicting a numeric regressand value based on certain regressor values. In this context, k-Nearest Neighbors (k-NN) is a common non-parametric regression algorithm, which achieves efficient performance…

We introduce $k$NN-LMs, which extend a pre-trained neural language model (LM) by linearly interpolating it with a $k$-nearest neighbors ($k$NN) model. The nearest neighbors are computed according to distance in the pre-trained LM embedding…

Computation and Language · Computer Science 2020-02-18 Urvashi Khandelwal , Omer Levy , Dan Jurafsky , Luke Zettlemoyer , Mike Lewis

The article deals with the issue of modification of metric classification algorithms. In particular, it studies the algorithm k-Nearest Neighbours for its application to sequential data. A method of generalization of metric classification…

Machine Learning · Computer Science 2016-12-19 Roman Samarev , Andrey Vasnetsov , Elizaveta Smelkova

The nearest neighbor (NN) technique is very simple, highly efficient and effective in the field of pattern recognition, text categorization, object recognition etc. Its simplicity is its main advantage, but the disadvantages can't be…

Computer Vision and Pattern Recognition · Computer Science 2010-07-02 Nitin Bhatia , Vandana
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