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Nearest-neighbor search, which returns the nearest neighbor of a query point in a set of points, is an important and widely studied problem in many fields, and it has wide range of applications. In many of them, such as sensor databases,…

Computational Geometry · Computer Science 2016-06-02 Pankaj K. Agarwal , Boris Aronov , Sariel Har-Peled , Jeff M. Philips , Ke Yi , Wuzhou Zhang

Approximate nearest-neighbor search is a fundamental algorithmic problem that continues to inspire study due its essential role in numerous contexts. In contrast to most prior work, which has focused on point sets, we consider…

Computational Geometry · Computer Science 2021-04-01 Ahmed Abdelkader , David M. Mount

Similarity search is a key to a variety of applications including content-based search for images and video, recommendation systems, data deduplication, natural language processing, computer vision, databases, computational biology, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-11 Vincent T. Lee , Amrita Mazumdar , Carlo C. del Mundo , Armin Alaghi , Luis Ceze , Mark Oskin

Motivated by a real-world application, we model and solve a complex staff scheduling problem. Tasks are to be assigned to workers for supervision. Multiple tasks can be covered in parallel by a single worker, with worker shifts being…

Discrete Mathematics · Computer Science 2023-02-10 Martin Gutjahr , Sophie N. Parragh , Fabien Tricoire

Similarity searches are a critical task in data mining. As data sets grow larger, exact nearest neighbor searches quickly become unfeasible, leading to the adoption of approximate nearest neighbor (ANN) searches. ANN has been studied for…

Information Retrieval · Computer Science 2025-11-21 Alima Subedi , Sankalpa Pokharel , Satish Puri

The ongoing Big Data explosion has created a demand for efficient and scalable algorithms for similarity search. Most recent work has focused on \textit{approximate} $k$-NN search, and while this may be sufficient for some applications,…

Data Structures and Algorithms · Computer Science 2025-01-28 Morgan E. Prior , Thomas J. Howard , Oliver McLaughlin , Terrence Ferguson , Najib Ishaq , Noah M. Daniels

Kernel Density Estimation (KDE) is a nonparametric method for estimating the shape of a density function, given a set of samples from the distribution. Recently, locality-sensitive hashing, originally proposed as a tool for nearest neighbor…

Data Structures and Algorithms · Computer Science 2022-03-02 Matti Karppa , Martin Aumüller , Rasmus Pagh

$\newcommand{\ball}{\mathbb{B}}\newcommand{\dsQ}{{\mathcal{Q}}}\newcommand{\dsS}{{\mathcal{S}}}$In this work we study a fair variant of the near neighbor problem. Namely, given a set of $n$ points $P$ and a parameter $r$, the goal is to…

Machine Learning · Computer Science 2019-11-25 Sariel Har-Peled , Sepideh Mahabadi

In recent years, Approximate Nearest Neighbor Search (ANNS) has played a pivotal role in modern search and recommendation systems, especially in emerging LLM applications like Retrieval-Augmented Generation. There is a growing exploration…

Information Retrieval · Computer Science 2024-11-07 Yiping Sun , Yang Shi , Jiaolong Du

Approximate nearest neighbor (ANN) search is a key component in many modern machine learning pipelines; recent use cases include retrieval-augmented generation (RAG) and vector databases. Clustering-based ANN algorithms, that use score…

Machine Learning · Computer Science 2024-10-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

Approximate near-neighbors search (\textsc{ANNS}) is a long-studied problem in computational geometry. %that has received considerable attention by researchers in the community. In this paper, we revisit the problem and propose the first…

Computational Geometry · Computer Science 2021-03-02 Majid Mirzanezhad

$K$-NN classifier is one of the most famous classification algorithms, whose performance is crucially dependent on the distance metric. When we consider the distance metric as a parameter of $K$-NN, learning an appropriate distance metric…

Machine Learning · Computer Science 2019-11-26 Kun Song

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 nearest neighbor search (ANNS) is a core problem in machine learning and information retrieval applications. GPUs offer a promising path to high-performance ANNS: they provide massive parallelism for distance computations, are…

Databases · Computer Science 2026-02-05 Hunter McCoy , Zikun Wang , Prashant Pandey

Aggregating multiple input rankings into a consensus ranking is essential in various fields such as social choice theory, hiring, college admissions, web search, and databases. A major challenge is that the optimal consensus ranking might…

Data Structures and Algorithms · Computer Science 2026-02-25 Diptarka Chakraborty , Himika Das , Sanjana Dey , Alvin Hong Yao Yan

Neural architecture search (NAS) aims to discover network architectures with desired properties such as high accuracy or low latency. Recently, differentiable NAS (DNAS) has demonstrated promising results while maintaining a search cost…

Machine Learning · Computer Science 2020-08-31 Arash Vahdat , Arun Mallya , Ming-Yu Liu , Jan Kautz

Approximate Nearest Neighbor Search (ANNS) plays a crucial role in many key areas. Proximity graphs (PGs) are the leading method for ANNS, offering the best balance between query efficiency and accuracy. However, their performance heavily…

Databases · Computer Science 2025-08-26 Hao Duan , Yitong Song , Bin Yao , Anqi Liang

Due to user privacy and regulatory restrictions, federate learning (FL) is proposed as a distributed learning framework for training deep neural networks (DNN) on decentralized data clients. Recent advancements in FL have applied Neural…

Machine Learning · Computer Science 2022-10-18 Hongjiang Chen , Yang Wang , Leibo Liu , Shaojun Wei , Shouyi Yin

A growing interest has been witnessed recently from both academia and industry in building nearest neighbor search (NNS) solutions on top of full-text search engines. Compared with other NNS systems, such solutions are capable of…

Information Retrieval · Computer Science 2019-07-30 Cun Mu , Jun Zhao , Guang Yang , Binwei Yang , Zheng Yan

Neural architecture search, which aims to automatically search for architectures (e.g., convolution, max pooling) of neural networks that maximize validation performance, has achieved remarkable progress recently. In many application…

Machine Learning · Computer Science 2020-06-24 Ishika Singh , Haoyi Zhou , Kunlin Yang , Meng Ding , Bill Lin , Pengtao Xie