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Large-scale visual localization systems continue to rely on 3D point clouds built from image collections using structure-from-motion. While the 3D points in these models are represented using local image features, directly matching a query…

Computer Vision and Pattern Recognition · Computer Science 2024-01-01 Dror Aiger , André Araujo , Simon Lynen

$k$-nearest neighbour ($k$-NN) is one of the simplest and most widely-used methods for supervised classification, that predicts a query's label by taking weighted ratio of observed labels of $k$ objects nearest to the query. The weights and…

Machine Learning · Statistics 2020-11-12 Akifumi Okuno , Hidetoshi Shimodaira

KNN has the reputation to be the word simplest but efficient supervised learning algorithm used for either classification or regression. KNN prediction efficiency highly depends on the size of its training data but when this training data…

Machine Learning · Computer Science 2021-07-01 Jude Tchaye-Kondi , Yanlong Zhai , Liehuang Zhu

We study the problem of finding small trees. Classical network design problems are considered with the additional constraint that only a specified number $k$ of nodes are required to be connected in the solution. A prototypical example is…

Combinatorics · Mathematics 2009-09-25 R. Ravi , R. Sundaram , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz

Given a graph $G=(V,E)$ with non-negative real edge lengths and an integer parameter $k$, the Min-Max k-Tree Cover problem seeks to find a set of at most $k$ subtrees of $G$, such that the union of the trees is the vertex set $V$. The…

Data Structures and Algorithms · Computer Science 2019-12-13 Syamantak Das , Lavina Jain , Nikhil Kumar

One of the simplest and most effective classical machine learning algorithms is the $k$-nearest neighbors algorithm ($k$NN) which classifies an unknown test state by finding the $k$ nearest neighbors from a set of $M$ train states. Here we…

Quantum Physics · Physics 2021-06-18 Afrad Basheer , A. Afham , Sandeep K. Goyal

This paper proposes a soft range limited K nearest neighbours (SRL-KNN) localization fingerprinting algorithm. The conventional KNN determines the neighbours of a user by calculating and ranking the fingerprint distance measured at the…

Signal Processing · Electrical Eng. & Systems 2022-11-09 Minh Tu Hoang , Yizhou Zhu , Brosnan Yuen , Tyler Reese , Xiaodai Dong , Tao Lu , Robert Westendorp , Michael Xie

Approximate nearest neighbour (ANN) search is one of the most important problems in computer science fields such as data mining or computer vision. In this paper, we focus on ANN for high-dimensional binary vectors and we propose a simple…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Michal Komorowski , Tomasz Trzcinski

Graphs are fundamental data structures and have been employed for centuries to model real-world systems and phenomena. Random walk with restart (RWR) provides a good proximity score between two nodes in a graph, and it has been successfully…

Databases · Computer Science 2012-02-01 Yasuhiro Fujiwara , Makoto Nakatsuji , Makoto Onizuka , Masaru Kitsuregawa

Recent studies have shown that Dense Retrieval (DR) techniques can significantly improve the performance of first-stage retrieval in IR systems. Despite its empirical effectiveness, the application of DR is still limited. In contrast to…

Information Retrieval · Computer Science 2023-04-27 Haitao Li , Qingyao Ai , Jingtao Zhan , Jiaxin Mao , Yiqun Liu , Zheng Liu , Zhao Cao

Fast k-Nearest Neighbor search over real-valued vector spaces (KNN) is an important algorithmic task for information retrieval and recommendation systems. We present a method for using reduced precision to represent vectors through…

Information Retrieval · Computer Science 2021-10-19 Anthony Ko , Iman Keivanloo , Vihan Lakshman , Eric Schkufza

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

"Reverse Nearest Neighbor" query finds applications in decision support systems, profile-based marketing, emergency services etc. In this paper, we point out a few flaws in the branch and bound algorithms proposed earlier for computing…

Data Structures and Algorithms · Computer Science 2015-06-17 Siddharth Dawar , Vikram Goyal , Debajyoti Bera

k-nearest neighbour (kNN) is one of the most prominent, simple and basic algorithm used in machine learning and data mining. However, kNN has limited prediction ability, i.e., kNN cannot predict any instance correctly if it does not belong…

Machine Learning · Computer Science 2020-03-03 Muhammad Asim , Muaaz Zakria

Nearest neighbor search supports important applications in many domains, such as database, machine learning, computer vision. Since the computational cost for accurate search is too high, the community turned to the research of approximate…

Information Retrieval · Computer Science 2022-01-11 Xiaobin Fan , Xiaoping Wang , Kai Lu , Lei Xue , Jinjing Zhao

We present a theoretical and empirical analysis of the adaptive entry point selection for graph-based approximate nearest neighbor search (ANNS). We introduce novel concepts: $b\textit{-monotonic path}$ and $B\textit{-MSNET}$, which better…

Information Retrieval · Computer Science 2024-02-08 Yutaro Oguri , Yusuke Matsui

Approximate K Nearest Neighbor (AKNN) search in high-dimensional spaces is a critical yet challenging problem. In AKNN search, distance computation is the core task that dominates the runtime. Existing approaches typically use approximate…

Databases · Computer Science 2025-01-20 Mingyu Yang , Wentao Li , Jiabao Jin , Xiaoyao Zhong , Xiangyu Wang , Zhitao Shen , Wei Jia , Wei Wang

We focus on low-dimensional non-metric search, where tree-based approaches permit efficient and accurate retrieval while having short indexing time. These methods rely on space partitioning and require a pruning rule to avoid visiting…

Information Retrieval · Computer Science 2019-10-09 Leonid Boytsov , Eric Nyberg

Much recent work has been devoted to approximate nearest neighbor queries. Motivated by applications in recommender systems, we consider approximate furthest neighbor (AFN) queries and present a simple, fast, and highly practical data…

Data Structures and Algorithms · Computer Science 2016-11-23 Rasmus Pagh , Francesco Silvestri , Johan Sivertsen , Matthew Skala

We present an empirical analysis of data structures for approximate nearest neighbor searching. We compare the well-known optimized kd-tree splitting method against two alternative splitting methods. The first, called the sliding-midpoint…

Computational Geometry · Computer Science 2007-05-23 Songrit Maneewongvatana , David M. Mount