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Approximate k-Nearest Neighbour (ANN) methods are often used for mining information and aiding machine learning on large scale high-dimensional datasets. ANN methods typically differ in the index structure used for accelerating searches,…

机器学习 · 计算机科学 2025-02-04 Ben Harwood , Amir Dezfouli , Iadine Chades , Conrad Sanderson

The Maximum Independent Set problem is fundamental for extracting conflict-free structure from large graphs, with applications in scheduling, recommendation, and network analysis. However, existing heuristics can stagnate when search…

人工智能 · 计算机科学 2025-10-29 Yu Zhang , Witold Pedrycz , Chanjuan Liu , Enqiang Zhu

Approximate $k$ nearest neighbor (AKNN) search in high-dimensional space is a foundational problem in vector databases with widespread applications. Among the numerous AKNN indexes, Proximity Graph-based indexes achieve state-of-the-art…

数据库 · 计算机科学 2026-02-20 Liuchang Jing , Mingyu Yang , Lei Li , Jianbin Qin , Wei Wang

Retrieving points based on proximity in a high-dimensional vector space is a crucial step in information retrieval applications. The approximate nearest neighbor search (ANNS) problem, which identifies the $k$ nearest neighbors for a query,…

信息检索 · 计算机科学 2025-09-11 Magdalen Dobson Manohar , Taekseung Kim , Guy E. Blelloch

Network alignment, or the task of finding meaningful node correspondences between nodes in different graphs, is an important graph mining task with many scientific and industrial applications. An important principle for network alignment is…

社会与信息网络 · 计算机科学 2021-01-25 Mark Heimann , Xiyuan Chen , Fatemeh Vahedian , Danai Koutra

Mining cohesive subgraphs in attributed graphs is an essential problem in the domain of graph data analysis. The integration of fairness considerations significantly fuels interest in models and algorithms for mining fairness-aware cohesive…

数据库 · 计算机科学 2023-12-08 Qi Zhang , Rong-Hua Li , Zifan Zheng , Hongchao Qin , Ye Yuan , Guoren Wang

Given an undirected graph $G$, a quasi-clique is a subgraph of $G$ whose density is at least $\gamma$ $(0 < \gamma \leq 1)$. Two optimization problems can be defined for quasi-cliques: the Maximum Quasi-Clique (MQC) Problem, which finds a…

离散数学 · 计算机科学 2024-03-14 Daniela Scherer dos Santos , Kathrin Klamroth , Pedro Martins , Luís Paquete

Approximate nearest neighbor search (ANNS) plays an indispensable role in a wide variety of applications, including recommendation systems, information retrieval, and semantic search. Among the cutting-edge ANNS algorithms, graph-based…

硬件体系结构 · 计算机科学 2026-03-31 Weihong Xu , Junwei Chen , Po-Kai Hsu , Jaeyoung Kang , Minxuan Zhou , Sumukh Pinge , Shimeng Yu , Tajana Rosing

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

社会与信息网络 · 计算机科学 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

Proximity graphs (PG) have gained increasing popularity as the state-of-the-art solutions to $k$-approximate nearest neighbor ($k$-ANN) search on high-dimensional data, which serves as a fundamental function in various fields, e.g.,…

数据库 · 计算机科学 2025-02-18 Shuo Yang , Jiadong Xie , Yingfan Liu , Jeffrey Xu Yu , Xiyue Gao , Qianru Wang , Yanguo Peng , Jiangtao Cui

Approximate Nearest Neighbor Search (ANNS) underpins many large-scale data mining and machine learning applications, with efficient retrieval increasingly hinging on GPU acceleration as dataset sizes grow. Although graph-based approaches…

We propose a multi-stage learning approach for pruning the search space of maximum clique enumeration, a fundamental computationally difficult problem arising in various network analysis tasks. In each stage, our approach learns the…

机器学习 · 计算机科学 2019-10-02 Marco Grassia , Juho Lauri , Sourav Dutta , Deepak Ajwani

Approximate Nearest Neighbor Search (ANNS) is a fundamental problem in many areas of machine learning and data mining. During the past decade, numerous hashing algorithms are proposed to solve this problem. Every proposed algorithm claims…

计算机视觉与模式识别 · 计算机科学 2019-06-20 Deng Cai

Range-filtering approximate $k$-nearest neighbor (RFAKNN) search takes as input a vector and a numeric value, returning $k$ points from a database of $N$ high-dimensional points. The returned points must satisfy two criteria: their numeric…

数据库 · 计算机科学 2025-04-08 Mingyu Yang , Wentao Li , Zhitao Shen , Chuan Xiao , Wei Wang

We focus on Maximum Inner Product Search (MIPS), which is an essential problem in many machine learning communities. Given a query, MIPS finds the most similar items with the maximum inner products. Methods for Nearest Neighbor Search (NNS)…

信息检索 · 计算机科学 2022-01-25 Chao Feng , Defu Lian , Xiting Wang , Zheng liu , Xing Xie , Enhong Chen

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

数据结构与算法 · 计算机科学 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

Similarity graphs are an active research direction for the nearest neighbor search (NNS) problem. New algorithms for similarity graph construction are continuously being proposed and analyzed by both theoreticians and practitioners.…

机器学习 · 计算机科学 2020-02-14 Dmitry Baranchuk , Artem Babenko

The fastest indexes for Approximate Nearest Neighbor Search today are also the slowest to build: graph-based methods like HNSW and Vamana achieve state-of-the-art query performance but have large construction times due to relying on…

数据库 · 计算机科学 2026-05-26 Tobias Rubel , Richard Wen , Laxman Dhulipala , Lars Gottesbüren , Rajesh Jayaram , Jakub Łącki

Nearest neighbor search (NNS) aims to locate the points in high-dimensional space that is closest to the query point. The brute-force approach for finding the nearest neighbor becomes computationally infeasible when the number of points is…

计算机视觉与模式识别 · 计算机科学 2022-10-06 Deepak Gupta , Russell Loane , Soumya Gayen , Dina Demner-Fushman

We study the construction of $d$-deletion-correcting binary codes by formulating the problem as a Maximum Clique Problem (MCP). In this formulation, vertices represent candidate codewords and edges connect pairs whose longest common…

信息论 · 计算机科学 2026-02-10 Aniruddh Pandav , Rajshekhar V Bhat