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The neighbourhood function N(t) of a graph G gives, for each t, the number of pairs of nodes <x, y> such that y is reachable from x in less that t hops. The neighbourhood function provides a wealth of information about the graph (e.g., it…

Data Structures and Algorithms · Computer Science 2011-01-27 Paolo Boldi , Marco Rosa , Sebastiano Vigna

Recent advances in graph learning have paved the way for innovative retrieval-augmented generation (RAG) systems that leverage the inherent relational structures in graph data. However, many existing approaches suffer from rigid, fixed…

Information Retrieval · Computer Science 2025-03-26 Yuan Li , Jun Hu , Jiaxin Jiang , Zemin Liu , Bryan Hooi , Bingsheng He

The $k$-nearest neighbor graph (KNNG) on high-dimensional data is a data structure widely used in many applications such as similarity search, dimension reduction and clustering. Due to its increasing popularity, several methods under the…

Data Structures and Algorithms · Computer Science 2021-12-07 Liu Yingfan , Cheng Hong , Cui Jiangtao

Graph neural networks (GNN) has been successfully applied to operate on the graph-structured data. Given a specific scenario, rich human expertise and tremendous laborious trials are usually required to identify a suitable GNN architecture.…

Machine Learning · Computer Science 2019-09-11 Kaixiong Zhou , Qingquan Song , Xiao Huang , Xia Hu

In this paper, we present an experimental comparison of various graph-based approximate nearest neighbor (ANN) search algorithms deployed on edge devices for real-time nearest neighbor search applications, such as smart city infrastructure…

Data Structures and Algorithms · Computer Science 2024-11-22 Ali Ganbarov , Jicheng Yuan , Anh Le-Tuan , Manfred Hauswirth , Danh Le-Phuoc

For a given dataset $\mathcal{D}$ and structured label $f$, the goal of Filtered Approximate Nearest Neighbor Search (FANNS) algorithms is to find top-$k$ points closest to a query that satisfy label constraints, while ensuring both recall…

Databases · Computer Science 2025-09-10 Jiayang Shi , Yuzheng Cai , Weiguo Zheng

Approximate nearest neighbor search (ANN) is a common way to retrieve relevant search results, especially now in the context of large language models and retrieval augmented generation. One of the most widely used algorithms for ANN is…

Data Structures and Algorithms · Computer Science 2025-12-23 Nina Mishra , Yonatan Naamad , Tal Wagner , Lichen Zhang

Filtered approximate nearest neighbor search (ANNS) restricts the search to data objects whose attributes satisfy a given filter and retrieves the top-$K$ objects that are most semantically similar to the query object. Many graph-based ANNS…

Databases · Computer Science 2025-11-04 Tianming Wu , Dixin Tang

Retrieval-Augmented Generation (RAG) applications increasingly rely on Filtered Approximate Nearest Neighbor Search (FANNS) to combine semantic retrieval with metadata constraints. While algorithmic innovations for FANNS have been proposed,…

Databases · Computer Science 2026-02-13 Abylay Amanbayev , Brian Tsan , Tri Dang , Florin Rusu

Approximate nearest neighbor search (ANNS) has become a quintessential algorithmic problem for various other foundational data tasks for AI workloads. Graph-based ANNS indexes have superb empirical trade-offs in indexing cost, query…

Databases · Computer Science 2025-07-31 Ziyu Zhang , Yuanhao Wei , Joshua Engels , Julian Shun

Retrieving the most similar objects in a large-scale database for a given query is a fundamental building block in many application domains, ranging from web searches, visual, cross media, and document retrievals. State-of-the-art…

Machine Learning · Computer Science 2018-03-15 Muge Li , Liangyue Li , Feiping Nie

Approximate Nearest Neighbor (ANN) search is a fundamental technique for (e.g.,) the deployment of recommender systems. Recent studies bring proximity graph-based methods into practitioners' attention -- proximity graph-based methods…

Information Retrieval · Computer Science 2022-06-23 Zhaozhuo Xu , Weijie Zhao , Shulong Tan , Zhixin Zhou , Ping Li

GRank is a recent graph-based recommendation approach the uses a novel heterogeneous information network to model users' priorities and analyze it to directly infer a recommendation list. Unfortunately, GRank neglects the semantics behind…

Social and Information Networks · Computer Science 2018-11-06 Bita Shams , Saman Haratizadeh

Fixed-radius near neighbor search is a fundamental data operation that retrieves all data points within a user-specified distance to a query point. There are efficient algorithms that can provide fast approximate query responses, but they…

Information Retrieval · Computer Science 2024-01-30 Xinye Chen , Stefan Güttel

With the continuous popularity of deep learning and representation learning, fast vector search becomes a vital task in various ranking/retrieval based applications, say recommendation, ads ranking and question answering. Neural network…

Information Retrieval · Computer Science 2023-12-29 Weijie Zhao , Shulong Tan , Ping Li

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

Recently, Approximate Nearest Neighbor Search in high-dimensional vector spaces has garnered considerable attention due to the rapid advancement of deep learning techniques. We observed that a substantial amount of search and construction…

Databases · Computer Science 2025-06-24 Xiaoyao Zhong , Jiabao Jin , Peng Cheng , Mingyu Yang , Haoyang Li , Zhitao Shen , Heng Tao Shen , Jingkuan Song

We present Graph Random Neural Features (GRNF), a novel embedding method from graph-structured data to real vectors based on a family of graph neural networks. The embedding naturally deals with graph isomorphism and preserves the metric…

Machine Learning · Computer Science 2020-06-03 Daniele Zambon , Cesare Alippi , Lorenzo Livi

Given a collection of points in R^3, KD-Tree and R-Tree are well-known nearest neighbor search (NNS) algorithms that rely on space partitioning and spatial indexing techniques. However, when the query point is far from the data points or…

Computational Geometry · Computer Science 2025-07-30 Pengfei Wang , Jiantao Song , Shiqing Xin , Shuangmin Chen , Changhe Tu , Wenping Wang , Jiaye Wang

Approximate Nearest Neighbor (ANN) search has become fundamental to modern AI infrastructure, powering recommendation systems, search engines, and large language models across industry leaders from Google to OpenAI. Hierarchical Navigable…

Information Retrieval · Computer Science 2026-02-26 Ganap Ashit Tewary , Nrusinga Charan Gantayat , Jeff Zhang