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We consider a similarity measure between two sets $A$ and $B$ of vectors, that balances the average and maximum cosine distance between pairs of vectors, one from set $A$ and one from set $B$. As a motivation for this measure, we present…

Data Structures and Algorithms · Computer Science 2021-08-31 Michael Leybovich , Oded Shmueli

Vector representations and vector space modeling (VSM) play a central role in modern machine learning. We propose a novel approach to `vector similarity searching' over dense semantic representations of words and documents that can be…

Information Retrieval · Computer Science 2017-06-06 Jan Rygl , Jan Pomikálek , Radim Řehůřek , Michal Růžička , Vít Novotný , Petr Sojka

We study the problem of $\textit{vector set search}$ with $\textit{vector set queries}$. This task is analogous to traditional near-neighbor search, with the exception that both the query and each element in the collection are…

Data Structures and Algorithms · Computer Science 2023-10-27 Joshua Engels , Benjamin Coleman , Vihan Lakshman , Anshumali Shrivastava

Traditional retrieval methods have been essential for assessing document similarity but struggle with capturing semantic nuances. Despite advancements in latent semantic analysis (LSA) and deep learning, achieving comprehensive semantic…

Information Retrieval · Computer Science 2024-09-27 Solmaz Seyed Monir , Irene Lau , Shubing Yang , Dongfang Zhao

As data retrieval demands become increasingly complex, traditional search methods often fall short in addressing nuanced and conceptual queries. Vector similarity search has emerged as a promising technique for finding semantically similar…

Artificial Intelligence · Computer Science 2024-12-31 Md Riyadh , Muqi Li , Felix Haryanto Lie , Jia Long Loh , Haotian Mi , Sayam Bohra

Vector indexing enables semantic search over diverse corpora and has become an important interface to databases for both users and AI agents. Efficient vector search requires deep optimizations in database systems. This has motivated a new…

Vector search and database systems have become a keystone component in many AI applications. While many prior research has investigated how to accelerate the performance of generic vector search, emerging AI applications require running…

Databases · Computer Science 2025-06-03 Jingyi Xi , Chenghao Mo , Benjamin Karsin , Artem Chirkin , Mingqin Li , Minjia Zhang

The rapid growth of machine learning capabilities and the adoption of data processing methods using vector embeddings sparked a great interest in creating systems for vector data management. While the predominant approach of vector data…

Databases · Computer Science 2024-03-26 Viktor Sanca , Anastasia Ailamaki

Vector data is prevalent across business and scientific applications, and its popularity is growing with the proliferation of learned embeddings. Vector data collections often reach billions of vectors with thousands of dimensions, thus,…

Information Retrieval · Computer Science 2025-09-09 Ilias Azizi , Karima Echihab , Themis Palpanas , Vassilis Christophides

Approximate nearest neighbor search (ANNS) has become a cornerstone in modern vector database systems. Given a query vector, ANNS retrieves the closest vectors from a set of base vectors. In real-world applications, vectors are often…

Databases · Computer Science 2026-03-03 Haoxuan Xie , Siqiang Luo

Modern deep learning models capture the semantics of complex data by transforming them into high-dimensional embedding vectors. Emerging applications, such as retrieval-augmented generation, use approximate nearest neighbor (ANN) search in…

Databases · Computer Science 2025-10-01 Guoyu Hu , Shaofeng Cai , Tien Tuan Anh Dinh , Zhongle Xie , Cong Yue , Gang Chen , Beng Chin Ooi

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

With the advancement of machine learning and deep learning, vector search becomes instrumental to many information retrieval systems, to search and find best matches to user queries based on their semantic similarities.These online services…

Computer Vision and Pattern Recognition · Computer Science 2018-09-13 Minjia Zhang , Yuxiong He

There is an increasing demand for extending existing DBMSs with vector indices so that they become unified systems capable of supporting modern predictive applications, which require joint querying of vector embeddings together with the…

Information Retrieval · Computer Science 2025-07-01 Gaurav Sehgal , Semih Salihoglu

Approximate Nearest Neighbor Search (ANNS) underpins modern applications such as information retrieval and recommendation. With the rapid growth of vector data, efficient indexing for real-time vector search has become rudimentary. Existing…

Databases · Computer Science 2026-01-14 Yuchen Peng , Dingyu Yang , Zhongle Xie , Ji Sun , Lidan Shou , Ke Chen , Gang Chen

Classification is a common AI problem, and vector search is a typical solution. This transforms a given body of text into a numerical representation, known as an embedding, and modern improvements to vector search focus on optimising speed…

Information Retrieval · Computer Science 2025-06-04 Lee Harris

Vector Symbolic Architectures (VSAs) have emerged as a novel framework for enabling interpretable machine learning algorithms equipped with the ability to reason and explain their decision processes. The basic idea is to represent discrete…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Calvin Yeung , Prathyush Poduval , Mohsen Imani

Vector search (VS) has become a fundamental component in multimodal data management, enabling core functionalities such as image, video, and code retrieval. As vector data scales rapidly, VS faces growing challenges in balancing search,…

Databases · Computer Science 2026-01-06 Yitong Song , Xuanhe Zhou , Christian S. Jensen , Jianliang Xu

High-dimensional vector similarity search (HVSS) is gaining prominence as a powerful tool for various data science and AI applications. As vector data scales up, in-memory indexes pose a significant challenge due to the substantial increase…

Many real-world tasks such as recommending videos with the kids tag can be reduced to finding most similar vectors associated with hard predicates. This task, filtered vector search, is challenging as prior state-of-the-art graph-based…

Databases · Computer Science 2025-07-22 Zhaoheng Li , Silu Huang , Wei Ding , Yongjoo Park , Jianjun Chen
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