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Nearest Neighbor Search (NNS) is a central task in knowledge representation, learning, and reasoning. There is vast literature on efficient algorithms for constructing data structures and performing exact and approximate NNS. This paper…

Machine Learning · Statistics 2021-03-10 Blake Mason , Ardhendu Tripathy , Robert Nowak

Customizable contraction hierarchies are one of the most popular route planning frameworks in practice, due to their simplicity and versatility. In this work, we present a novel algorithm for finding k-nearest neighbors in customizable…

Data Structures and Algorithms · Computer Science 2021-03-19 Valentin Buchhold , Dorothea Wagner

We study the approximate nearest neighbour method for cost-sensitive classification on low-dimensional manifolds embedded within a high-dimensional feature space. We determine the minimax learning rates for distributions on a smooth…

Machine Learning · Computer Science 2018-03-02 Henry WJ Reeve , Gavin Brown

Image classification is an important task in the field of machine learning and image processing. However, the usually used classification method --- the K Nearest-Neighbor algorithm has high complexity, because its two main processes:…

Computer Vision and Pattern Recognition · Computer Science 2018-05-17 Yijie Dang , Nan Jiang , Hao Hu , Zhuoxiao Ji , Wenyin Zhang

Many existing covariate shift adaptation methods estimate sample weights given to loss values to mitigate the gap between the source and the target distribution. However, estimating the optimal weights typically involves computationally…

Machine Learning · Statistics 2024-07-01 François Portier , Lionel Truquet , Ikko Yamane

In this study, a new Stacked Generalization technique called Fuzzy Stacked Generalization (FSG) is proposed to minimize the difference between N -sample and large-sample classification error of the Nearest Neighbor classifier. The proposed…

Machine Learning · Computer Science 2013-08-14 Mete Ozay , Fatos T. Yarman Vural

In nearest-neighbor classification problems, a set of $d$-dimensional training points are given, each with a known classification, and are used to infer unknown classifications of other points by using the same classification as the nearest…

Data Structures and Algorithms · Computer Science 2021-10-13 David Eppstein

This paper proposes an inexpensive way to learn an effective dissimilarity function to be used for $k$-nearest neighbor ($k$-NN) classification. Unlike Mahalanobis metric learning methods that map both query (unlabeled) objects and labeled…

Machine Learning · Computer Science 2020-08-31 Yutaro Shigeto , Masashi Shimbo , Yuji Matsumoto

This paper studies a stylized, yet natural, learning-to-rank problem and points out the critical incorrectness of a widely used nearest neighbor algorithm. We consider a model with $n$ agents (users) $\{x_i\}_{i \in [n]}$ and $m$…

Machine Learning · Computer Science 2018-07-11 Ao Liu , Qiong Wu , Zhenming Liu , Lirong Xia

The present paper deals with optimisation of Nearest Neighbour rule Classifiers via Genetic Algorithms. The methodology consists on implement a Genetic Algorithm capable of search the input feature space used by the NNR classifier. Results…

Artificial Intelligence · Computer Science 2007-05-23 Vitorino Ramos , Fernando Muge

Learning a good distance metric in feature space potentially improves the performance of the KNN classifier and is useful in many real-world applications. Many metric learning algorithms are however based on the point estimation of a…

Computer Vision and Pattern Recognition · Computer Science 2016-04-11 Dong Wang , Xiaoyang Tan

A difficult problem in clustering is how to handle data with a manifold structure, i.e. data that is not shaped in the form of compact clouds of points, forming arbitrary shapes or paths embedded in a high-dimensional space. In this work we…

Computer Vision and Pattern Recognition · Computer Science 2010-06-15 Ariel E. Baya , Pablo M. Granitto

This paper introduces enhancements to the K-means and K-nearest neighbors (KNN) algorithms based on the concept of Gini prametric spaces, instead of traditional metric spaces. Unlike standard distance metrics, Gini prametrics incorporate…

Machine Learning · Computer Science 2025-08-27 Cassandra Mussard , Arthur Charpentier , Stéphane Mussard

Dimensionality reduction is crucial both for visualization and preprocessing high dimensional data for machine learning. We introduce a novel method based on a hierarchy built on 1-nearest neighbor graphs in the original space which is used…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 M. Saquib Sarfraz , Marios Koulakis , Constantin Seibold , Rainer Stiefelhagen

Item neighbourhood methods for collaborative filtering learn a weighted graph over the set of items, where each item is connected to those it is most similar to. The prediction of a user's rating on an item is then given by that rating of…

Machine Learning · Computer Science 2012-06-22 Aaron Defazio , Tiberio Caetano

The approximate nearest neighbor problem ($\epsilon$-ANN) in high dimensional Euclidean space has been mainly addressed by Locality Sensitive Hashing (LSH), which has polynomial dependence in the dimension, sublinear query time, but…

Computational Geometry · Computer Science 2016-12-06 Evangelos Anagnostopoulos , Ioannis Z. Emiris , Ioannis Psarros

Introduction. Case Based Reasoning (CBR) is an emerg- ing decision making paradigm in medical research where new cases are solved relying on previously solved similar cases. Usually, a database of solved cases is provided, and every case is…

Artificial Intelligence · Computer Science 2013-03-08 Boris Campillo-Gimenez , Wassim Jouini , Sahar Bayat , Marc Cuggia

Kriging is the predominant method used for spatial prediction, but relies on the assumption that predictions are linear combinations of the observations. Kriging often also relies on additional assumptions such as normality and…

Machine Learning · Statistics 2019-03-29 Haoyu Wang , Yawen Guan , Brian J Reich

We consider static, external memory indexes for exact and approximate versions of the $k$-nearest neighbor ($k$-NN) problem, and show new lower bounds under a standard indivisibility assumption: - Polynomial space indexing schemes for…

Data Structures and Algorithms · Computer Science 2020-04-02 Mayank Goswami , Riko Jacob , Rasmus Pagh

Nearest neighbor search (NNS) has a wide range of applications in information retrieval, computer vision, machine learning, databases, and other areas. Existing state-of-the-art algorithm for nearest neighbor search, Hierarchical Navigable…

Information Retrieval · Computer Science 2020-10-20 Ishita Doshi , Dhritiman Das , Ashish Bhutani , Rajeev Kumar , Rushi Bhatt , Niranjan Balasubramanian