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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 suggest a robust nearest-neighbor approach to classifying high-dimensional data. The method enhances sensitivity by employing a threshold and truncates to a sequence of zeros and ones in order to reduce the deleterious impact of…

Statistics Theory · Mathematics 2009-09-02 Yao-ban Chan , Peter Hall

k nearest neighbor join (kNN join), designed to find k nearest neighbors from a dataset S for every object in another dataset R, is a primitive operation widely adopted by many data mining applications. As a combination of the k nearest…

Databases · Computer Science 2015-03-20 Wei Lu , Yanyan Shen , Su Chen , Beng Chin Ooi

kNN-MT, recently proposed by Khandelwal et al. (2020a), successfully combines pre-trained neural machine translation (NMT) model with token-level k-nearest-neighbor (kNN) retrieval to improve the translation accuracy. However, the…

Computation and Language · Computer Science 2021-05-28 Xin Zheng , Zhirui Zhang , Junliang Guo , Shujian Huang , Boxing Chen , Weihua Luo , Jiajun Chen

The nearest neighbor problem is defined as follows: Given a set $P$ of $n$ points in some metric space $(X,D)$, build a data structure that, given any point $q$, returns a point in $P$ that is closest to $q$ (its "nearest neighbor" in $P$).…

Data Structures and Algorithms · Computer Science 2018-06-27 Alexandr Andoni , Piotr Indyk , Ilya Razenshteyn

The work concerns the problem of reducing a pre-trained deep neuronal network to a smaller network, with just few layers, whilst retaining the network's functionality on a given task The proposed approach is motivated by the observation…

Neural and Evolutionary Computing · Computer Science 2019-12-10 A. N. Gorban , E. M. Mirkes , I. Y. Tyukin

The recent improvements of graphics processing units (GPU) offer to the computer vision community a powerful processing platform. Indeed, a lot of highly-parallelizable computer vision problems can be significantly accelerated using GPU…

Computer Vision and Pattern Recognition · Computer Science 2008-04-10 Vincent Garcia , Eric Debreuve , Michel Barlaud

Different spatial objects that vary in their characteristics, such as molecular biology and geography, are presented in spatial areas. Methods to organize, manage, and maintain those objects in a structured manner are required. Data mining…

Databases · Computer Science 2013-03-11 Dr. Mohammed Otair

Graph search is one of the most successful algorithmic trends in near neighbor search. Several of the most popular and empirically successful algorithms are, at their core, a simple walk along a pruned near neighbor graph. Such algorithms…

Data Structures and Algorithms · Computer Science 2021-04-08 Benjamin Coleman , Santiago Segarra , Anshumali Shrivastava , Alex Smola

We introduce and explore a new method for inferring hidden geometric coordinates of nodes in complex networks based on the number of common neighbors between the nodes. We compare this approach to the HyperMap method, which is based only on…

Social and Information Networks · Computer Science 2015-08-21 Fragkiskos Papadopoulos , Rodrigo Aldecoa , Dmitri Krioukov

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

Nearest neighbor has always been one of the most appealing non-parametric approaches in machine learning, pattern recognition, computer vision, etc. Previous empirical studies partly shows that nearest neighbor is resistant to noise, yet…

Machine Learning · Computer Science 2018-09-14 Wei Gao , Bin-Bin Yang , Zhi-Hua Zhou

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

This thesis presents two similarity-based approaches to sparse data problems. The first approach is to build soft, hierarchical clusters: soft, because each event belongs to each cluster with some probability; hierarchical, because cluster…

cmp-lg · Computer Science 2008-02-03 Lillian Lee

The design of algorithms that generate personalized ranked item lists is a central topic of research in the field of recommender systems. In the past few years, in particular, approaches based on deep learning (neural) techniques have…

Information Retrieval · Computer Science 2021-01-08 Maurizio Ferrari Dacrema , Simone Boglio , Paolo Cremonesi , Dietmar Jannach

High-performance implementations of $k$-Nearest Neighbor Search ($k$NN) in low dimensions use tree-based data structures. Tree algorithms are hard to parallelize on GPUs due to their irregularity. However, newer Nvidia GPUs offer hardware…

Graphics · Computer Science 2024-04-23 Durga Mandarapu , Vani Nagarajan , Artem Pelenitsyn , Milind Kulkarni

Efficient k-nearest neighbor search is a fundamental task, foundational for many problems in NLP. When the similarity is measured by dot-product between dual-encoder vectors or $\ell_2$-distance, there already exist many scalable and…

Computation and Language · Computer Science 2022-10-25 Nishant Yadav , Nicholas Monath , Rico Angell , Manzil Zaheer , Andrew McCallum

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

Social and Information Networks · Computer Science 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang

The traditional k nearest neighbor (kNN) approach uses a distance formula within a spherical region to determine the k closest training observations to a test sample point. However, this approach may not work well when test point is located…

Machine Learning · Statistics 2024-02-19 Amjad Ali , Zardad Khan , Dost Muhammad Khan , Saeed Aldahmani

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…

Machine Learning · Computer Science 2024-09-10 Alexandre Luís Magalhães Levada , Frank Nielsen , Michel Ferreira Cardia Haddad
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