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The $k$-Nearest Neighbor Search ($k$-NNS) is the backbone of several cloud-based services such as recommender systems, face recognition, and database search on text and images. In these services, the client sends the query to the cloud…

数据结构与算法 · 计算机科学 2020-03-10 Hao Chen , Ilaria Chillotti , Yihe Dong , Oxana Poburinnaya , Ilya Razenshteyn , M. Sadegh Riazi

An NP-hard problem is considered of intersecting a given set of $n$ straight line segments on the plane with the smallest cardinality set of disks of fixed radii $r>0,$ where the set of segments forms a straight line drawing $G=(V,E)$ of a…

计算几何 · 计算机科学 2020-10-05 Konstantin Kobylkin

Neighbour embeddings (NE) allow the representation of high dimensional datasets into lower dimensional spaces and are often used in data visualisation. In practice, accelerated approximations are employed to handle very large datasets.…

机器学习 · 计算机科学 2025-09-10 Pierre Lambert , Edouard Couplet , Michel Verleysen , John Aldo Lee

The $k$-nearest neighbor algorithm ($k$-NN) is a widely used non-parametric method for classification and regression. We study the mean squared error of the $k$-NN estimator when $k$ is chosen by leave-one-out cross-validation (LOOCV).…

统计理论 · 数学 2020-02-18 Mona Azadkia

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…

数据结构与算法 · 计算机科学 2016-11-23 Rasmus Pagh , Francesco Silvestri , Johan Sivertsen , Matthew Skala

Learning from set-structured data is an essential problem with many applications in machine learning and computer vision. This paper focuses on non-parametric and data-independent learning from set-structured data using approximate nearest…

机器学习 · 计算机科学 2022-02-10 Yuzhe Lu , Xinran Liu , Andrea Soltoggio , Soheil Kolouri

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…

信息检索 · 计算机科学 2020-10-20 Ishita Doshi , Dhritiman Das , Ashish Bhutani , Rajeev Kumar , Rushi Bhatt , Niranjan Balasubramanian

We study spectral algorithms for the high-dimensional Nearest Neighbor Search problem (NNS). In particular, we consider a semi-random setting where a dataset $P$ in $\mathbb{R}^d$ is chosen arbitrarily from an unknown subspace of low…

数据结构与算法 · 计算机科学 2014-08-05 Amirali Abdullah , Alexandr Andoni , Ravindran Kannan , Robert Krauthgamer

This paper proposes low-complexity algorithms for finding approximate second-order stationary points (SOSPs) of problems with smooth non-convex objective and linear constraints. While finding (approximate) SOSPs is computationally…

最优化与控制 · 数学 2019-07-11 Songtao Lu , Meisam Razaviyayn , Bo Yang , Kejun Huang , Mingyi Hong

Nearest Neighbors Algorithm is a Lazy Learning Algorithm, in which the algorithm tries to approximate the predictions with the help of similar existing vectors in the training dataset. The predictions made by the K-Nearest Neighbors…

机器学习 · 计算机科学 2018-11-14 Chandrasekaran Anirudh Bhardwaj , Megha Mishra , Kalyani Desikan

Approximate nearest neighbor (ANN) search in high dimensions is an integral part of several computer vision systems and gains importance in deep learning with explicit memory representations. Since PQT, FAISS, and SONG started to leverage…

计算机视觉与模式识别 · 计算机科学 2022-04-08 Fabian Groh , Lukas Ruppert , Patrick Wieschollek , Hendrik P. A. Lensch

Visual odometry (VO) and SLAM have been using multi-view geometry via local structure from motion for decades. These methods have a slight disadvantage in challenging scenarios such as low-texture images, dynamic scenarios, etc. Meanwhile,…

计算机视觉与模式识别 · 计算机科学 2023-09-11 Akankshya Kar , Sajal Maheshwari , Shamit Lal , Vinay Sameer Raja Kad

Approximate Nearest Neighbor Search (ANNS) in high-dimensional space is an essential operator in many online services, such as information retrieval and recommendation. Indices constructed by the state-of-the-art ANNS algorithms must be…

数据库 · 计算机科学 2025-10-21 Kun Yu , Jiabao Jin , Xiaoyao Zhong , Peng Cheng , Lei Chen , Zhitao Shen , Jingkuan Song , Hengtao Shen , Xuemin Lin

Approximate nearest neighbor (ANN) search on SSD-backed indexes is increasingly I/O-bound (I/O accounts for 70--90\% of query latency). We present an I/O-first framework for disk-based ANN that organizes techniques along three dimensions:…

数据库 · 计算机科学 2026-03-24 Liang Li , Shufeng Gong , Yanan Yang , Yiduo Wang , Jie Wu

Robust data association is necessary for virtually every SLAM system and finding corresponding points is typically a preprocessing step for scan alignment algorithms. Traditionally, handcrafted feature descriptors were used for these…

计算机视觉与模式识别 · 计算机科学 2018-09-21 Ayush Dewan , Tim Caselitz , Wolfram Burgard

Performances on standard 3D point cloud benchmarks have plateaued, resulting in oversized models and complex network design to make a fractional improvement. We present an alternative to enhance existing deep neural networks without any…

计算机视觉与模式识别 · 计算机科学 2023-03-02 Renrui Zhang , Liuhui Wang , Ziyu Guo , Jianbo Shi

Fixed Radius Near Neighbor (FRNN) search is an alternative to the widely used k Nearest Neighbors (kNN) search. Unlike kNN, FRNN determines a label or an estimate for a test sample based on all training samples within a predefined distance.…

机器学习 · 计算机科学 2026-04-20 Khang Le , Joaquín Torres-Sospedra , Philipp Müller

Computational complexity and approximation algorithms are reported for a problem of stabbing a set of straight line segments with the least cardinality set of disks of fixed radii $r>0$ where the set of segments forms a straight line…

计算几何 · 计算机科学 2018-03-23 Konstantin Kobylkin

We give a new algorithm that quickly finds smooth neighbors.

数论 · 数学 2015-03-13 Brian Conrey , Mark Holmstrom , Tara McLaughlin

In the emerging advancement in the branch of autonomous robotics, the ability of a robot to efficiently localize and construct maps of its surrounding is crucial. This paper deals with utilizing thermal-infrared cameras, as opposed to…

计算机视觉与模式识别 · 计算机科学 2017-10-05 Vu Hoang Minh , Tajwar Abrar Aleef , Usama Pervaiz , Yeman Brhane Hagos , Saed Khawaldeh