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Efficient reverse k-nearest neighbor estimation

Elke Achtert, Christian Böhm, Peer Kröger, Peter Kunath, Alexey Pryakhin, Matthias Renz
2007 Informatik - Forschung und Entwicklung  
The reverse k-nearest neighbor (RkNN) problem, i.e. finding all objects in a data set the k-nearest neighbors of which include a specified query object, has received increasing attention recently.  ...  In this paper, we propose the first approach for efficient approximative RkNN search in arbitrary metric spaces where the value of k is specified at query time.  ...  Although the reverse k-nearest neighbor problem is the complement of the k-nearest neighbor problem, the relationship between kNN and RkNN is not symmetric and the number of the reverse k-nearest neighbors  ... 
doi:10.1007/s00450-007-0027-z fatcat:iiqfjtwprvcsvixyr6arpslwwm

A Local Density-Based Approach for Local Outlier Detection [article]

Bo Tang, Haibo He
2016 arXiv   pre-print
Instead of using only k nearest neighbors, we further consider reverse nearest neighbors and shared nearest neighbors of an object for density distribution estimation.  ...  based on extended nearest neighbors of the object.  ...  Three kinds of neighbors: k nearest neighbors, reverse nearest neighbors, and shared nearest neighbors, are considered in our local kernel density estimation.  ... 
arXiv:1606.08538v1 fatcat:ihsldcayrree7c3eejurroar3a

Unsupervised Distance-Based Outlier Detection Using Nearest Neighbours Algorithm on Distributed Approach: Survey
English

Jayshree S.Gosavi, Vinod S.Wadne
2014 International Journal of Innovative Research in Computer and Communication Engineering  
By examining again the notion of reverse nearest neighbors in the unsupervised outlier-detection context, high dimensionality can have a different impact.  ...  In high dimensions it was observed that the distribution of points in reverse-neighbor counts becomes skewed .This proposed work aims at developing and comparing some of the unsupervised outlier detection  ...  The local density for instances is computed by dividing volume of k,i.e k nearest neighbor and volume of hyper sphere.  ... 
doi:10.15680/ijircce.2014.0212042 fatcat:7okbstpahnbctltcf65f6cjmfi

Ranking Outliers Using Symmetric Neighborhood Relationship [chapter]

Wen Jin, Anthony K. H. Tung, Jiawei Han, Wei Wang
2006 Lecture Notes in Computer Science  
The estimation of density distribution at the location of an object has so far been based on the density distribution of its k-nearest neighbors [2, 11] .  ...  The proposed measure considers both neighbors and reverse neighbors of an object when estimating its density distribution. As a result, outliers so discovered are more meaningful.  ...  To get a better estimation of the neighborhood's density distribution, we propose to take both the nearest neighbors (NNs) and reverse nearest neighbors (RNNs) [14] into account.  ... 
doi:10.1007/11731139_68 fatcat:5zarj2sf3fefzcsgcgqxn5bqr4

Efficient reverse k-nearest neighbor search in arbitrary metric spaces

Elke Achtert, Christian Böhm, Peer Kröger, Peter Kunath, Alexey Pryakhin, Matthias Renz
2006 Proceedings of the 2006 ACM SIGMOD international conference on Management of data - SIGMOD '06  
The reverse k-nearest neighbor (RkNN) problem, i.e. finding all objects in a data set the k-nearest neighbors of which include a specified query object, is a generalization of the reverse 1-nearest neighbor  ...  In particular, we approximate the k-nearest neighbor distance for each data object by upper and lower bounds using two functions of only two parameters each.  ...  Acknowledgement We are grateful with Yufei Tao, Dimitris Papadias, Xiang Lian and Xiaokui Xiao providing us the source code of their Reverse kNN Search in [11] .  ... 
doi:10.1145/1142473.1142531 dblp:conf/sigmod/AchtertBKKPR06 fatcat:3qgpvzngvrbf3gxvofqb26vxge

BORDER: efficient computation of boundary points

Chenyi Xia, W. Hsu, M.L. Lee, B.C. Ooi
2006 IEEE Transactions on Knowledge and Data Engineering  
BORDER employs the state-of-the-art database technique -the Gorder kNN join and makes use of the special property of the reverse k-nearest neighbor (RkNN) .  ...  Our experimental study shows that BORDER detects boundary points effectively and efficiently on various datasets.  ...  The reverse k-nearest neighbors (RkNN) of an object p are points that look upon p as one of their k-nearest neighbors.  ... 
doi:10.1109/tkde.2006.38 fatcat:iqdkqmambzbztmb52zgexlwfhm

Fast and Scalable Outlier Detection with Approximate Nearest Neighbor Ensembles [chapter]

Erich Schubert, Arthur Zimek, Hans-Peter Kriegel
2015 Lecture Notes in Computer Science  
Popular outlier detection methods require the pairwise comparison of objects to compute the nearest neighbors.  ...  neighbors.  ...  If k-nearest neighborhoods are needed, as it is the case for the most wellknown outlier detection methods, SFC is the method of choice.  ... 
doi:10.1007/978-3-319-18123-3_2 fatcat:jbhn3t6vhrbqdcwwnjdzhaz3zu

Efficient clustering method based on density peaks with symmetric neighborhood relationship

Chunrong Wu, Jia Lee, Teijiro Isokawa, Jun Yao, Yunni Xia
2019 IEEE Access  
In this paper, we propose a robust clustering method which establishes a symmetric neighborhood graph over all data points, based on the k-nearest neighbors and reverse k-nearest neighbors of each point  ...  INDEX TERMS Clustering, symmetric neighborhood, reverse k-nearest neighbors, density peaks clustering. 60684 2169-3536  ...  Our new method establishes a symmetric neighborhood graph over all data points, which is achieved using the k-nearest neighbors and reverse k-nearest neighbors of each point.  ... 
doi:10.1109/access.2019.2912332 fatcat:qj3r234dkjbbjoip3xyx475rk4

Approximate Direct and Reverse Nearest Neighbor Queries, and the k-nearest Neighbor Graph

Karina Figueroa, Rodrigo Paredes
2009 2009 Second International Workshop on Similarity Search and Applications  
A related, far less explored primitive is to obtain the dataset elements which would have the query object within their own k-nearest neighbors, known as the reverse k-nearest neighbor query.  ...  The naive algorithm for reverse k-nearest neighbor queries has quadratic complexity, because the k-nearest neighbors of all the dataset objects must be found; this is too expensive.  ...  k-nearest neighbors.  ... 
doi:10.1109/sisap.2009.33 dblp:conf/sisap/FigueroaP09 fatcat:wieiyzyfdngdlarrn5rg2bjv6m

KNN-FSVM for Fault Detection in High-Speed Trains

Jie Liu, Enrico Zio
2018 2018 IEEE International Conference on Prognostics and Health Management (ICPHM)  
In this paper, the reverse nearest neighbors technique is adopted for detecting outliers and the k nearest neighbors technique is used to identify the borderline points for defining the classification  ...  Considering the position of each data point and the distribution of its nearest neighbors, a new method is proposed for calculating their estimation error costs.  ...  A k Nearest Neighbors-based Fuzzy Support Vector Machine (KNN-FSVM) is proposed in this paper. The reverse nearest neighbor method is used to detect and eliminate the noise and outliers [33] .  ... 
doi:10.1109/icphm.2018.8448688 dblp:conf/icphm/LiuZ18 fatcat:3oq22dednbe67d2xjs7d5lloie

Dimensional testing for reverse k-nearest neighbor search

Guillaume Casanova, Elias Englmeier, Michael E. Houle, Peer Kröger, Michael Nett, Erich Schubert, Arthur Zimek
2017 Proceedings of the VLDB Endowment  
Given a query object q, reverse k-nearest neighbor (RkNN) search aims to locate those objects of the database that have q among their k-nearest neighbors.  ...  The method can accommodate any index structure supporting incremental (forward) nearest-neighbor search for the generation and verification of candidates, while avoiding impractically-high preprocessing  ...  Accordingly, x cannot be a reverse k-nearest neighbor of q.  ... 
doi:10.14778/3067421.3067426 fatcat:wx4dp2k2x5h7tnifkqichxdomy

A Voronoi-Based Group Reverse k Farthest Neighbor Query Method in the Obstacle Space

Yongshan Liu, Xiang Gong, Dehan Kong, Tianbao Hao, Xiaoqi Yan
2020 IEEE Access  
Then we get the candidate set using the theorem of transformation between k nearest neighbors and k farthest neighbors. Finally, the refining algorithm is given to get the final results.  ...  To this end, this paper proposed the V-OGRkFN(Voronoi-Obstacle Group Reverse k Farthest Neighbor) algorithm.  ...  A new density-based clustering algorithm, RNN-DBSCAN, was presented which uses reverse nearest neighbor counts as an estimate of observation density by Pei et al. [34] .  ... 
doi:10.1109/access.2020.2979739 fatcat:ovfyvjnltvhldjoz2rl44nsacq

Nearest neighbor influences on DNA polymerase insertion fidelity

L V Mendelman, M S Boosalis, J Petruska, M F Goodman
1989 Journal of Biological Chemistry  
Reverse transcriptase forms transversions with lower efficiencies than transitions, especially low being A.G, G.G, and C.C.  ...  Conversely, target sites with nearest neighbor purines have a higher than average Vmax component.  ...  The one exception to the trend is the case of nearest neighbor T where Evidence of a 6'-nearest neighbor influence on the kinetic components of misinsertion efficiency.  ... 
pmid:2474545 fatcat:7jo2loycjjb5npce5a5wcpd4si

Predicting Heating Load in Energy-Efficient Buildings Through Machine Learning Techniques

Hossein Moayedi, Dieu Tien Bui, Anastasios Dounis, Zongjie Lyu, Loke Kok Foong
2019 Applied Sciences  
These results show the superiority of the presented RF model in estimation of early heating load in energy-efficient buildings.  ...  regressor (MLPr), lazy locally weighted learning (LLWL), alternating model tree (AMT), random forest (RF), ElasticNet (ENet), and radial basis function regression (RBFr) for the problem of designing energy-efficient  ...  Figure 6 . 6 Example of k-nearest neighbors (KNN) regression/classification.  ... 
doi:10.3390/app9204338 fatcat:6okjwi75vncl5i4mnxzny7qe4e

Ranking with Distance based Outlier Detection Techniques: A Survey

Jitendra R.Chandvanya, Rajanikanth Aluvalu
2014 International Journal of Computer Applications  
The proposed measure considers both neighbors and reverse neighbors of an object when estimating its density distribution and then based on it detect top-n outliers. Carlos H. C.  ...  Centrally located point in a cluster has relatively low cumulative sum of ranks because it is among the nearest neighbor of its own nearest neighbors. So, rank measures an object's outlines.  ... 
doi:10.5120/15505-4207 fatcat:kacyax7u7zhnnjluqmvxfgs2l4
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